Analsis De Datos Alcan Pluvial.xlsx
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Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación total (mm) AÑO
ENE
FEB
MAR
ABR
MAY
JUN
JUL
AGO
SEP
OCT
NOV
DIC
1986
62.4
68.7
0
9.2
0.3
0.4
0
0
4.6
28
48
147.2
1987
149.9
36.6
69.6
10.4
0
11.5
3
0
3.7
60.1
40.5
31
1988
0
0
0
38.2
18
24
95.2
78.3
53.2
174.2
44
1.6
1989
56.5
59.5
36
90.7
0
1.2
0
0
1.5
10
17.7
54.5
1990
121.3
81.5
30
19.3
1
11.8
0
5.2
0
29.6
66.1
103.9
1991
128
89.7
65.8
17.8
0
0
0
0.5
2.5
34.3
46
34.9
1992
98.3
84.2
32.6
2.5
0
6.8
2.5
3.9
0
40.4
46.4
55.3
1993
128.3
37.6
65.5
4.9
0
0
0
15.8
14.1
23.5
35.8
82.4
1994
101.6
30.8
35.4
7.2
1.2
0
0
0
2.3
4.5
40.1
75.9
1995
107.8
44.2
80.9
0.1
2
****
****
****
****
****
****
81.8
1996
73.2
73.9
40.9
19
2
0
0
26.7
2.6
32.7
57.8
90.4
1997
137.7
119.7
76.6
70.8
0
0
0
5
44.9
13.5
27.5
28.3
1998
53.6
91.2
51.3
11.2
0
1.4
0
6.8
0
65.6
51.8
49
1999
59.1
66.2
117.1
15.5
0
0
0.5
0
31.5
37.1
4.2
47.1
2000
117.8
39.4
65
8.5
0
0
0
0.4
1.8
22.5
3.8
120.5
2001
172.3
132
106.2
28.2
0
0.2
0
8.4
12.4
31.4
11
74.9
2002
91.3
92.6
55.7
17.4
10
9
2.3
0.2
3
44.2
54.2
13.6
2003
83.9
79.6
40.8
11.8
6.4
0
11.4
11.2
6.3
10
7.7
124.4
2004
84.3
102.4
32.1
18.4
0
0.1
10.5
1.8
0.8
5.2
6.1
54.2
2005
104.6
85.2
35.5
31
0
0
0
0
27.2
49.8
60.1
43.6
2006
120.7
54.4
57
18.8
2.3
0
0
0
4.1
45.2
35.8
41.3
2007
115
62.7
79
11.8
0
0
2.1
0
18.4
20.9
44.5
75.6
2008
108.6
48.5
50.7
2
0
0
0
2.3
2.1
21
10.4
92.3
2009
138.7
110.9
102.5
25.8
4.7
0
0
0
6.4
3.2
80.2
99.3
2010
112.9
52.7
66.4
26
4
0
0.5
6.5
0.8
36.7
20.8
63.8
2011
74.4
197.9
149.6
3.5
14
0
1.6
0
0
8
44.2
91.8
2012
115.7
108
96
23.8
0
0
0
0
9.8
16.1
66.8
100.2
2013
143.3
173.7
20.6
0.2
7.9
1
1
11
1.4
18.4
27.8
87.4
2014
101.9
127.2
8.6
7.5
9.5
0
0
0.5
5.1
96.3
28.8
17.7
2015
113.8
88.1
45.6
42.1
0
0
0
8.7
5
40.9
34.4
23.1
2016
47.3
101
18.8
20.8
0
0
0
0
11.9
15.4
4.7
45.6
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación media (mm) ANUAL
AÑO
ENE
FEB
MAR
ABR
MAY
JUN
JUL
AGO
SEP
OCT
368.8
1986
2.8
4.3
0
1.8
0.3
0.4
0
0
2.3
7
416.3
1987
7.1
4.6
5.8
5.2
0
5.8
1.5
0
3.7
8.6
526.7
1988
4.4
3.8
7.9
3.7
1.6
0
0
0
6.4
4.5
327.6
1989
4.4
4.6
3.6
8.2
0
1.2
0
0
1.5
3.3
469.7
1990
5.8
4.8
3.8
2.8
1
3.9
0
1.7
0
2.1
419.5
1991
8
6
3.3
3
0
0
0
0.5
2.5
4.9
372.9
1992
3.8
3.7
3.3
2.5
0
6.8
1.2
1
0
4.5
407.9
1993
5.1
2.9
3.4
1.6
0
0
0
5.3
7
3.4
299
1994
5.6
2.4
3.5
1.8
1.2
0
0
0
1.2
1.1
****
1995
4.9
3.2
5.8
0.1
2
****
****
****
****
****
419.2
1996
4.3
5.3
3.1
2.7
1
0
0
6.7
1.3
4.7
524
1997
5.3
5.4
3.3
5.9
0
0
0
1.7
4.5
1.9
381.9
1998
3.1
5.1
3.2
5.6
0
1.4
0
3.4
0
7.3
378.3
1999
2.6
3.5
4.5
1.6
0
0
0.2
0
5.2
3.7
379.7
2000
4.5
2.6
3.6
2.1
0
0
0
0.4
1.8
2.2
577
2001
6.2
7
4.8
2.8
0
0.2
0
2.1
3.1
4.5
393.5
2002
4.6
4.9
2.9
2.5
5
4.5
0.8
0.1
1.5
3.4
393.5
2003
4.2
3.8
2.6
2
1.3
0
11.4
3.7
2.1
1.7
315.9
2004
4.2
6
2
3.1
0
0.1
2.1
0.9
0.4
1.7
437
2005
7.5
4.3
4.4
3.1
0
0
0
0
13.6
7.1
379.6
2006
5.2
4.2
5.2
2.7
2.3
0
0
0
1.4
9
430
2007
5.2
4.8
3.8
1.7
0
0
2.1
0
1.5
3
337.9
2008
4.5
3.2
3.2
1.0
0.0
0.0
0.0
1.2
2.1
1.9
571.7
2009
5.3
5.8
4.5
5.2
2.4
0.0
0.0
0.0
3.2
1.6
391.1
2010
5.6
3.1
5.5
3.2
1.0
0.0
0.5
6.5
0.8
9.2
585
2011
6.8
9.4
8.3
1.2
4.7
0.0
1.6
0.0
0.0
1.6
536.4
2012
5.5
4.9
5.6
2.4
0.0
0.0
0.0
0.0
2.4
8.0
493.7
2013
6.5
8.3
2.9
0.2
2.6
0.5
1.0
11.0
0.7
3.1
403.1
2014
4.1
6.1
1.0
1.1
4.8
0.0
0.0
0.5
1.7
12.0
401.7
2015
4.4
6.3
2.5
3.2
0.0
0.0
0.0
4.4
1.7
5.8
265.5
2016
2.6
5.6
2.7
3.0
0.0
0.0
0.0
0.0
2.4
1.2
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación máxima en 24 hrs (mm) NOV
DIC
ANUAL
AÑO
ENE
FEB
MAR
ABR
MAY
JUN
JUL
AGO
5.3
6.7
30.9
1986
18.1
16
0
3.4
0.3
0.4
0
0
2.9
3.9
49.1
1987
16.5
10
14
7.4
0
9.5
2
0
8
6.8
47.1
1988
18.8
11.5
24
14
1.6
0
0
0
5.9
4.2
36.9
1989
14
13
13
31.2
0
1.2
0
0
5.5
8.7
40.1
1990
25.2
18.2
16.2
7
1
5.6
0
2.2
4.6
5.8
38.6
1991
25
21
13
14
0
0
0
0.5
5.2
4.6
36.6
1992
15.6
12.5
15
2.5
0
6.8
1.4
2
4.5
4.1
37.3
1993
17.5
8.4
10
4.2
0
0
0
10.2
2.9
6.3
26
1994
21.1
4.9
19.2
3.3
1.2
0
0
0
****
5.1
****
1995
17.2
11.6
11.8
0.1
2
****
****
****
3.8
3.8
36.7
1996
15.1
24
7.2
10.8
1.6
0
0
20.4
2.5
1.8
32.3
1997
20.4
15.4
15.3
20.8
0
0
0
4.2
5.2
3.3
37.6
1998
15.2
21.8
14.2
8.4
0
1.4
0
5.8
0.8
3.6
25.7
1999
12.4
14
24.6
4.5
0
0
0.4
0
1
7.1
25.3
2000
16.6
10
10
6.4
0
0
0
0.4
1.6
3.7
36
2001
20
28.4
24.7
9.9
0
0.2
0
6.9
4.5
1.7
36.4
2002
19.7
28.7
11.1
6.2
5.6
8.4
2.1
0.1
1.5
7.3
41.6
2003
12.3
16.8
11.4
3.9
2
0
11.4
9.6
2
3.9
26.4
2004
22.1
20.8
4.4
6.2
0
0.1
3.8
1
5.5
2.6
48.1
2005
32.1
13.8
18.2
21.1
0
0
0
0
4
2.8
36.8
2006
30.2
12.5
16.8
7.5
2.3
0
0
0
4
4
30.1
2007
34.8
21.5
15.1
4.7
0
0
2.1
0
1.0
4.0
22.1
2008
19.7
11
13
1.8
0
0
0
2.1
5.4
5.5
38.9
2009
25
15.8
23
8.9
4
0
0
0
3.0
4.0
42.4
2010
20.2
15.8
19.4
12.4
1.8
0
0.5
6.5
4.0
6.1
43.7
2011
19.8
46.3
45.7
1.8
8.4
0
1.6
0
4.8
5.9
39.5
2012
28.8
14.3
16.3
5.7
0
0
0
0
3.5
5.5
45.8
2013
17.7
40.8
6.5
0.2
5.8
0.6
1
11
3.6
2.0
36.9
2014
14
18.2
2.2
2.1
6.3
0
0
0.5
5.7
3.3
37.3
2015
26.5
17
14.3
14
0
0
0
8.1
0.5
2.8
20.8
2016
13.1
18.0
7.2
12.0
0.0
0.0
0.0
0.0
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Los pinos xima en 24 hrs (mm)
Estación Potosí - Los pi Datos de : Temperatura medi
SEP
OCT
NOV
DIC
ANUAL
AÑO
ENE
FEB
MAR
ABR
MAY
JUN
4.4
10
13
19.5
19.5
1986
11.2
11.1
10.6
10.1
6.7
6.1
3.7
20
7.2
16.8
20
1987
11.0
10.1
9.9
9.8
7.9
6.0
15
7
11
17.5
24
1988
12.0
11.1
11.3
10.1
8.3
6.6
11.0
10.6
10.3
9.5
8.1
6.5
1.5
4
11.2
13.5
31.2
1989
0
5.8
19.2
35.4
35.4
1990
11.0
10.4
10.4
10.1
8.2
6.4
2.5
10
25
14.7
25
1991
12.2
11.8
11.2
10.5
8.4
7.2
0
20
10.4
15
20
1992
10.4
7.6
9.4
8.6
8.8
6.2
9.8
9.3
9.8
9.9
7.4
6.5
10.8
8.6
16.5
8.7
17.5
1993
1.3
1.6
7.2
16.1
21.1
1994
10.6
11.1
10.3
10.3
8.0
6.0
****
****
****
15.9
****
1995
10.9
10.8
10.5
9.9
8.5
****
1.4
17.3
13.1
13.2
24
1996
11.3
11.2
10.7
10.4
8.5
6.9
17.1
8.2
6.2
8
20.8
1997
11.0
10.3
8.6
8.0
6.5
5.7
0
15
23.4
16.2
23.4
1998
13.3
12.9
12.8
11.0
8.1
6.7
15
10.8
2.2
12
24.6
1999
10.6
10.9
10.7
9.6
7.5
5.6
1.8
6.6
2.4
22.4
22.4
2000
10.6
10.0
10.7
10.1
8.8
5.4
9.6
10.0
10.1
9.5
7.5
6.3
8.4
11.9
5.2
20.5
28.4
2001
1.8
12.1
17.1
5.4
28.7
2002
11.2
10.7
10.7
10.5
8.5
7.0
5.5
8.2
3.8
26.4
26.4
2003
11.0
11.0
10.4
9.7
7.8
6.5
0.7
3.6
3.6
8.4
22.1
2004
10.4
10
10.6
10.4
5.9
5.3
10.9
10.3
11.3
10
7.5
5.9
21.7
21.4
20.8
6.7
32.1
2005
2.7
27.2
8.6
14.2
30.2
2006
10.4
10.5
10.8
10
7
6
10.2
8.7
21.5
21.5
34.8
2007
11.5
11.1
10.6
10.1
7.5
7.7
2.1
5.1
2.1
13.3
19.7
2008
10.2
9.9
9.6
8.9
6.4
6
5.2
2.8
15.8
18.8
25
2009
10
10.3
9.7
8.8
7.7
5.5
0.8
15.6
8.8
12.9
20.2
2010
11.5
12.3
11.3
10.5
7.7
8.2
0
6.4
11
29
46.3
2011
11.3
9.9
10.1
10
7.8
7.4
8.6
9.2
16.7
21.2
28.8
2012
10.2
10
9.7
9.9
6.9
6.4
10.7
10.6
12.4
9.9
9.3
6.2
1
9.1
13.2
13.7
40.8
2013
4.5
25.6
9
5.4
25.6
2014
11
11.2
11.4
10.8
7.9
7.3
2.6
23.6
12
7
26.5
2015
10.6
11.4
11.1
10.6
8
7.9
3.5
5.6
1.7
10.6
18.0
2016
12.4
11.3
13.1
11.9
8.7
6.7
ud Sud: 19° 35' 00" itud Oeste: 65° 45' 00" a m/s/n/m: 3950
ción Potosí - Los pinos e : Temperatura media (ºC) JUL
AGO
SEP
OCT
NOV
DIC
ANUAL
4.2
6.7
6.8
9.0
10.9
10.4
8.6
6.8
8.2
9.4
11.0
11.8
12.3
9.5
7.1
9.4
9.6
10.0
10.4
11.2
9.8
6.0
6.7
8.5
10.6
10.6
12.1
9.2
5.0
7.6
8.0
11.3
12.4
12.4
9.4
6.6
8.2
8.0
9.6
10.2
11.1
9.6
5.4
5.6
6.8
10.2
9.8
11.2
8.3
5.6
6.5
8.1
10.7
11.7
11.7
8.9
6.8
8.6
9.6
10.7
11.5
11.4
9.6
****
****
****
****
****
10.2
****
6.0
7.7
8.3
10.9
10.8
11.4
9.5
7.1
7.5
10.2
10.8
12.3
13.2
9.3
7.3
7.5
8.9
9.5
10.9
11.6
10.0
5.7
7.2
8.4
9.9
10.4
11.9
9.0
4.2
6.9
8.6
10.2
11.1
11.0
9.0
5.8
7.4
9.1
10.1
11.2
10.2
8.9
4.7
6.8
8.6
10.7
11.4
11.9
9.4
6.1
6.1
7.5
9.6
10.4
12.0
9.0
5.7
7.2
9.5
9.8
11.3
11.2
8.9
6.4
7.1
7.2
9.2
10.8
11.1
9
6
7.3
7.6
10.6
11.6
11.6
9.1
5.4
8.3
8.8
10.1
10
10.3
9.3
5.9
6.9
8.5
10
11.5
10.6
8.7
5.7
6.3
9.2
10.9
12.4
11.8
9
6.6
8.6
8.9
10
10
11.7
9.8
6.3
7.8
8.5
9.6
10.8
10.6
9.2
6.5
8
9.9
10.9
11.6
11.6
9.3
7.4
7.6
8.4
10.2
11.9
11.7
9.7
5.7
6.9
9.3
10.4
11.7
12.2
9.6
6.5
8
9.9
11.7
13
13.1
10.2
8.0
8.0
9.6
11.8
12.6
12.2
10.5
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación total (mm) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC suma Promedio
1986 P 62.40 68.70 0.00 9.20 0.30 0.40 0.00 0.00 4.60 28.00 48.00 147.20 368.80 30.73
1987 % 203.04 223.54 0.00 29.93 0.98 1.30 0.00 0.00 14.97 91.11 156.18 478.96 1200.00 100.00
P 149.90 36.60 69.60 10.40 0.00 11.50 3.00 0.00 3.70 60.10 40.50 31.00 416.30 34.69
1988 % 432.09 105.50 200.62 29.98 0.00 33.15 8.65 0.00 10.67 173.24 116.74 89.36 1200.00 100.00
P
% 178.39 121.21 396.89 100.25 3.65 0.00 0.00 0.00 87.03 41.01 54.68 216.90 1200.00 100.00
78.30 53.20 174.20 44.00 1.60 0.00 0.00 0.00 38.20 18.00 24.00 95.20 526.70 43.89
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
1989 P 56.50 59.50 36.00 90.70 0.00 1.20 0.00 0.00 1.50 10.00 17.70 54.50 327.60 27.30
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación media (mm) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC
1986 P 2.8 4.3 0 1.8 0.3 0.4 0 0 2.3 7 5.3 6.7
1987 % 108.74 166.99 0.00 69.90 11.65 15.53 0.00 0.00 89.32 271.84 205.83 260.19
P 7.1 4.6 5.8 5.2 0 5.8 1.5 0 3.7 8.6 2.9 3.9
1988 % 173.52 112.42 141.75 127.09 0.00 141.75 36.66 0.00 90.43 210.18 70.88 95.32
P 4.4 3.8 7.9 3.7 1.6 0 0 0 6.4 4.5 8 6.8
1989 % 112.10 96.82 201.27 94.27 40.76 0.00 0.00 0.00 163.06 114.65 203.82 173.25
P 4.4 4.6 3.6 8.2 0 1.2 0 0 1.5 3.3 5.9 4.2
suma Promedio
30.90 2.58
1200.00 100.00
49.10 4.09
1200.00 100.00
47.10 3.93
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
1200.00 100.00
36.90 3.08
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación máxima en 24 hrs (mm) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC suma Promedio
1986 P 18.1 16 0 3.4 0.3 0.4 0 0 4.4 10 13 19.5 85.10 7.09
1987 % 255.23 225.62 0.00 47.94 4.23 5.64 0.00 0.00 62.04 141.01 183.31 274.97 1200.00 100.00
P 16.5 10 14 7.4 0 9.5 2 0 3.7 20 7.2 16.8 107.10 8.93
1988 % 184.87 112.04 156.86 82.91 0.00 106.44 22.41 0.00 41.46 224.09 80.67 188.24 1200.00 100.00
P
% 187.38 114.62 239.20 139.53 15.95 0.00 0.00 0.00 149.50 69.77 109.63 174.42 1200.00 100.00
18.8 11.5 24 14 1.6 0 0 0 15 7 11 17.5 120.40 10.03
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
1989 P 14 13 13 31.2 0 1.2 0 0 1.5 4 11.2 13.5 102.60 8.55
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Temperatura media (ºC) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO
1986 P 11.2 11.1 10.6 10.1 6.7 6.1 4.2 6.7
1987 % 129.48 128.32 122.54 116.76 77.46 70.52 48.55 77.46
P 11 10.1 9.9 9.8 7.9 6 6.8 8.2
1988 % 115.59 106.13 104.03 102.98 83.01 63.05 71.45 86.16
P 12 11.1 11.3 10.1 8.3 6.6 7.1 9.4
1989 % 122.97 113.75 115.80 103.50 85.06 67.63 72.76 96.33
P 11 10.6 10.3 9.5 8.1 6.5 6 6.7
SEP OCT NOV DIC suma Promedio
6.8 9 10.9 10.4 103.80 8.65
78.61 104.05 126.01 120.23 1200.00 100.00
9.4 11 11.8 12.3 114.20 9.52
98.77 115.59 123.99 129.25 1200.00 100.00
9.6 10 10.4 11.2 117.10 9.76
98.38 102.48 106.58 114.77 1200.00 100.00
8.5 10.6 10.6 12.1 110.50 9.21
e: 65° 45' 00"
1989
1990 % 206.96 217.95 131.87 332.23 0.00 4.40 0.00 0.00 5.49 36.63 64.84 199.63 1200.00 100.00
P 121.30 81.50 30.00 19.30 1.00 11.80 0.00 5.20 0.00 29.60 66.10 103.90 469.70 39.14
1991 % 309.90 208.22 76.64 49.31 2.55 30.15 0.00 13.29 0.00 75.62 168.87 265.45 1200.00 100.00
P 128.00 89.70 65.80 17.80 0.00 0.00 0.00 0.50 2.50 34.30 46.00 34.90 419.50 34.96
1992 % 366.15 256.59 188.22 50.92 0.00 0.00 0.00 1.43 7.15 98.12 131.59 99.83 1200.00 100.00
P 98.30 84.20 32.60 2.50 0.00 6.80 2.50 3.90 0.00 40.40 46.40 55.30 372.90 31.08
1993 % 316.33 270.96 104.91 8.05 0.00 21.88 8.05 12.55 0.00 130.01 149.32 177.96 1200.00 100.00
P 128.30 37.60 65.50 4.90 0.00 0.00 0.00 15.80 14.10 23.50 35.80 82.40 407.90 33.99
e: 65° 45' 00"
1989
1990 % 143.09 149.59 117.07 266.67 0.00 39.02 0.00 0.00 48.78 107.32 191.87 136.59
P 5.8 4.8 3.8 2.8 1 3.9 0 1.7 0 2.1 5.5 8.7
1991 % 173.57 143.64 113.72 83.79 29.93 116.71 0.00 50.87 0.00 62.84 164.59 260.35
P 8 6 3.3 3 0 0 0 0.5 2.5 4.9 4.6 5.8
1992 % 248.70 186.53 102.59 93.26 0.00 0.00 0.00 15.54 77.72 152.33 143.01 180.31
P 3.8 3.7 3.3 2.5 0 6.8 1.2 1 0 4.5 5.2 4.6
1993 % 124.59 121.31 108.20 81.97 0.00 222.95 39.34 32.79 0.00 147.54 170.49 150.82
P 5.1 2.9 3.4 1.6 0 0 0 5.3 7 3.4 4.5 4.1
1200.00 100.00
40.10 3.34
1200.00 100.00
38.60 3.22
1200.00 100.00
36.60 3.05
1200.00 100.00
37.30 3.11
e: 65° 45' 00"
1989
1990 % 163.74 152.05 152.05 364.91 0.00 14.04 0.00 0.00 17.54 46.78 130.99 157.89 1200.00 100.00
P 25.2 18.2 16.2 7 1 5.6 0 2.2 0 5.8 19.2 35.4 135.80 11.32
1991 % 222.68 160.82 143.15 61.86 8.84 49.48 0.00 19.44 0.00 51.25 169.66 312.81 1200.00 100.00
P 25 21 13 14 0 0 0 0.5 2.5 10 25 14.7 125.70 10.48
1992 % 238.66 200.48 124.11 133.65 0.00 0.00 0.00 4.77 23.87 95.47 238.66 140.33 1200.00 100.00
P 15.6 12.5 15 2.5 0 6.8 1.4 2 0 20 10.4 15 101.20 8.43
1993 % 184.98 148.22 177.87 29.64 0.00 80.63 16.60 23.72 0.00 237.15 123.32 177.87 1200.00 100.00
P 17.5 8.4 10 4.2 0 0 0 10.2 10.8 8.6 16.5 8.7 94.90 7.91
e: 65° 45' 00"
1989
1990 % 119.46 115.11 111.86 103.17 87.96 70.59 65.16 72.76
P 11 10.4 10.4 10.1 8.2 6.4 5 7.6
1991 % 116.61 110.25 110.25 107.07 86.93 67.84 53.00 80.57
P 12.2 11.8 11.2 10.5 8.4 7.2 6.6 8.2
1992 % 127.30 123.13 116.87 109.57 87.65 75.13 68.87 85.57
P 10.4 7.6 9.4 8.6 8.8 6.2 5.4 5.6
1993 % 124.80 91.20 112.80 103.20 105.60 74.40 64.80 67.20
P 9.8 9.3 9.8 9.9 7.4 6.5 5.6 6.5
92.31 115.11 115.11 131.40 1200.00 100.00
8 11.3 12.4 12.4 113.20 9.43
84.81 119.79 131.45 131.45 1200.00 100.00
8 9.6 10.2 11.1 115.00 9.58
83.48 100.17 106.43 115.83 1200.00 100.00
6.8 10.2 9.8 11.2 100.00 8.33
81.60 122.40 117.60 134.40 1200.00 100.00
8.1 10.7 11.7 11.7 107.00 8.92
1993
1994 % 377.45 110.62 192.69 14.42 0.00 0.00 0.00 46.48 41.48 69.13 105.32 242.41 1200.00 100.00
P 101.60 30.80 35.40 7.20 1.20 0.00 0.00 0.00 2.30 4.50 40.10 75.90 299.00 24.92
1993
1995 % 407.76 123.61 142.07 28.90 4.82 0.00 0.00 0.00 9.23 18.06 160.94 304.62 1200.00 100.00
P 107.80 44.20 80.90 0.10 2.00 1.43 1.28 3.69 8.17 29.58 33.42 81.80 316.80 26.40
1994 % 164.08 93.30 109.38 51.47 0.00 0.00 0.00 170.51 225.20 109.38 144.77 131.90
P 5.6 2.4 3.5 1.8 1.2 0 0 0 1.2 1.1 2.9 6.3
1996 %
4.34 3.90 11.23 24.85 90.01 101.68 236.01 19.67
P 73.20 73.90 40.90 19.00 2.00 0.00 0.00 26.70 2.60 32.70 57.80 90.40 419.20 34.93
1995 % 258.46 110.77 161.54 83.08 55.38 0.00 0.00 0.00 55.38 50.77 133.85 290.77
P
% 209.54 211.55 117.08 54.39 5.73 0.00 0.00 76.43 7.44 93.61 165.46 258.78 1200.00 100.00
P 137.70 119.70 76.60 70.80 0.00 0.00 0.00 5.00 44.90 13.50 27.50 28.30 524.00 43.67
1996 %
4.9 3.2 5.8 0.1 2 0.75 0.70 1.59 2.53 4.35 3.63 5.1
1997
25.98 24.28 55.02 87.56 150.59 125.60
P 4.3 5.3 3.1 2.7 1 0 0 6.7 1.3 4.7 3.8 3.8
1997 % 140.60 173.30 101.36 88.28 32.70 0.00 0.00 219.07 42.51 153.68 124.25 124.25
P 5.3 5.4 3.3 5.9 0 0 0 1.7 4.5 1.9 2.5 1.8
1200.00 100.00
26.00 2.17
1993
1200.00 100.00
21.10 1.76
1994 % 221.29 106.22 126.45 53.11 0.00 0.00 0.00 128.98 136.56 108.75 208.64 110.01 1200.00 100.00
P 21.1 4.9 19.2 3.3 1.2 0 0 0 1.3 1.6 7.2 16.1 75.90 6.33
1993 P
10.6 11.1 10.3 10.3 8 6 6.8 8.6
36.70 3.06
1995 % 333.60 77.47 303.56 52.17 18.97 0.00 0.00 0.00 20.55 25.30 113.83 254.55 1200.00 100.00
P
12.57 10.13 33.13 56.53 127.42 121.43 361.21 30.10
P 15.1 24 7.2 10.8 1.6 0 0 20.4 1.4 17.3 13.1 13.2 124.10 10.34
1995 % 110.70 115.93 107.57 107.57 83.55 62.66 71.02 89.82
P
32.30 2.69
1997 % 146.01 232.07 69.62 104.43 15.47 0.00 0.00 197.26 13.54 167.28 126.67 127.64 1200.00 100.00
P 20.4 15.4 15.3 20.8 0 0 0 4.2 17.1 8.2 6.2 8 115.60 9.63
1996 %
10.9 10.8 10.5 9.9 8.5 6.80 6.38 7.79
1200.00 100.00
1996 %
17.2 11.6 11.8 0.1 2 0.88 0.71 2.31 3.95 8.90 8.48 15.9 58.60 4.88
1994 % 109.91 104.30 109.91 111.03 82.99 72.90 62.80 72.90
469.01 39.08
71.84 67.42 82.32
P 11.3 11.2 10.7 10.4 8.5 6.9 6 7.7
1997 % 118.84 117.79 112.53 109.38 89.40 72.57 63.10 80.98
P 11 10.3 8.6 8 6.5 5.7 7.1 7.5
90.84 120.00 131.21 131.21 1200.00 100.00
9.6 10.7 11.5 11.4 114.90 9.58
100.26 111.75 120.10 119.06 1200.00 100.00
9.10 10.87 11.82 10.2 60.80 5.07
96.11 114.89 124.92 557.51 46.46
8.3 10.9 10.8 11.4 114.10 9.51
87.29 114.64 113.58 119.89 1200.00 100.00
10.2 10.8 12.3 13.2 111.20 9.27
1997
1998 % 315.34 274.12 175.42 162.14 0.00 0.00 0.00 11.45 102.82 30.92 62.98 64.81 1200.00 100.00
P 53.60 91.20 51.30 11.20 0.00 1.40 0.00 6.80 0.00 65.60 51.80 49.00 381.90 31.83
1997
1999 % 168.42 286.57 161.19 35.19 0.00 4.40 0.00 21.37 0.00 206.13 162.77 153.97 1200.00 100.00
P 59.10 66.20 117.10 15.50 0.00 0.00 0.50 0.00 31.50 37.10 4.20 47.10 378.30 31.53
1998 % 196.90 200.62 122.60 219.20 0.00 0.00 0.00 63.16 167.18 70.59 92.88 66.87
P 3.1 5.1 3.2 5.6 0 1.4 0 3.4 0 7.3 5.2 3.3
2000 % 187.47 209.99 371.45 49.17 0.00 0.00 1.59 0.00 99.92 117.68 13.32 149.41 1200.00 100.00
P 117.80 39.40 65.00 8.50 0.00 0.00 0.00 0.40 1.80 22.50 3.80 120.50 379.70 31.64
1999 % 98.94 162.77 102.13 178.72 0.00 44.68 0.00 108.51 0.00 232.98 165.96 105.32
P 2.6 3.5 4.5 1.6 0 0 0.2 0 5.2 3.7 0.8 3.6
2001 % 372.29 124.52 205.43 26.86 0.00 0.00 0.00 1.26 5.69 71.11 12.01 380.83 1200.00 100.00
P 172.30 132.00 106.20 28.20 0.00 0.20 0.00 8.40 12.40 31.40 11.00 74.90 577.00 48.08
2000 % 121.40 163.42 210.12 74.71 0.00 0.00 9.34 0.00 242.80 172.76 37.35 168.09
P 4.5 2.6 3.6 2.1 0 0 0 0.4 1.8 2.2 1 7.1
2001 % 213.44 123.32 170.75 99.60 0.00 0.00 0.00 18.97 85.38 104.35 47.43 336.76
P 6.2 7 4.8 2.8 0 0.2 0 2.1 3.1 4.5 1.6 3.7
1200.00 100.00
37.60 3.13
1997
1200.00 100.00
25.70 2.14
1998 % 211.76 159.86 158.82 215.92 0.00 0.00 0.00 43.60 177.51 85.12 64.36 83.04 1200.00 100.00
P 15.2 21.8 14.2 8.4 0 1.4 0 5.8 0 15 23.4 16.2 121.40 10.12
1997 P
13.3 12.9 12.8 11 8.1 6.7 7.3 7.5
25.30 2.11
1999 % 150.25 215.49 140.36 83.03 0.00 13.84 0.00 57.33 0.00 148.27 231.30 160.13 1200.00 100.00
P 12.4 14 24.6 4.5 0 0 0.4 0 15 10.8 2.2 12 95.90 7.99
1998 % 118.71 111.15 92.81 86.33 70.14 61.51 76.62 80.94
1200.00 100.00
P 10.6 10.9 10.7 9.6 7.5 5.6 5.7 7.2
36.00 3.00
2000 % 155.16 175.18 307.82 56.31 0.00 0.00 5.01 0.00 187.70 135.14 27.53 150.16 1200.00 100.00
P 16.6 10 10 6.4 0 0 0 0.4 1.8 6.6 2.4 22.4 76.60 6.38
1999 % 132.45 128.46 127.47 109.54 80.66 66.72 72.70 74.69
1200.00 100.00
2001 % 260.05 156.66 156.66 100.26 0.00 0.00 0.00 6.27 28.20 103.39 37.60 350.91 1200.00 100.00
P 20 28.4 24.7 9.9 0 0.2 0 6.9 8.4 11.9 5.2 20.5 136.10 11.34
2000 % 117.34 120.66 118.45 106.27 83.03 61.99 63.10 79.70
P 10.6 10 10.7 10.1 8.8 5.4 4.2 6.9
2001 % 118.22 111.52 119.33 112.64 98.14 60.22 46.84 76.95
P 9.6 10 10.1 9.5 7.5 6.3 5.8 7.4
110.07 116.55 132.73 142.45 1200.00 100.00
8.9 9.5 10.9 11.6 120.50 10.04
88.63 94.61 108.55 115.52 1200.00 100.00
8.4 9.9 10.4 11.9 108.40 9.03
92.99 109.59 115.13 131.73 1200.00 100.00
8.6 10.2 11.1 11 107.60 8.97
95.91 113.75 123.79 122.68 1200.00 100.00
9.1 10.1 11.2 10.2 106.80 8.90
2001
2002 % 358.34 274.52 220.87 58.65 0.00 0.42 0.00 17.47 25.79 65.30 22.88 155.77 1200.00 100.00
P 91.30 92.60 55.70 17.40 10.00 9.00 2.30 0.20 3.00 44.20 54.20 13.60 393.50 32.79
2001
2003 % 278.42 282.39 169.86 53.06 30.50 27.45 7.01 0.61 9.15 134.79 165.29 41.47 1200.00 100.00
P 83.90 79.60 40.80 11.80 6.40 0.00 11.40 11.20 6.30 10.00 7.70 124.40 393.50 32.79
2002 % 206.67 233.33 160.00 93.33 0.00 6.67 0.00 70.00 103.33 150.00 53.33 123.33
P 4.6 4.9 2.9 2.5 5 4.5 0.8 0.1 1.5 3.4 4.5 1.7
2004 % 255.86 242.74 124.42 35.98 19.52 0.00 34.76 34.16 19.21 30.50 23.48 379.36 1200.00 100.00
P 84.30 102.40 32.10 18.40 0.00 0.10 10.50 1.80 0.80 5.20 6.10 54.20 315.90 26.33
2003 % 151.65 161.54 95.60 82.42 164.84 148.35 26.37 3.30 49.45 112.09 148.35 56.04
P 4.2 3.8 2.6 2 1.3 0 11.4 3.7 2.1 1.7 1.5 7.3
2005 % 320.23 388.98 121.94 69.90 0.00 0.38 39.89 6.84 3.04 19.75 23.17 205.89 1200.00 100.00
P 104.60 85.20 35.50 31.00 0.00 0.00 0.00 0.00 27.20 49.80 60.10 43.60 437.00 36.42
2004 % 121.15 109.62 75.00 57.69 37.50 0.00 328.85 106.73 60.58 49.04 43.27 210.58
P 4.2 6 2 3.1 0 0.1 2.1 0.9 0.4 1.7 2 3.9
2005 % 190.91 272.73 90.91 140.91 0.00 4.55 95.45 40.91 18.18 77.27 90.91 177.27
P 7.5 4.3 4.4 3.1 0 0 0 0 13.6 7.1 5.5 2.6
1200.00 100.00
36.40 3.03
2001
1200.00 100.00
41.60 3.47
2002 % 176.34 250.40 217.78 87.29 0.00 1.76 0.00 60.84 74.06 104.92 45.85 180.75 1200.00 100.00
P 19.7 28.7 11.1 6.2 5.6 8.4 2.1 0.1 1.8 12.1 17.1 5.4 118.30 9.86
2001 P
11.2 10.7 10.7 10.5 8.5 7 4.7 6.8
26.40 2.20
2003 % 199.83 291.12 112.60 62.89 56.80 85.21 21.30 1.01 18.26 122.74 173.46 54.78 1200.00 100.00
P 12.3 16.8 11.4 3.9 2 0 11.4 9.6 5.5 8.2 3.8 26.4 111.30 9.28
2002 % 107.87 112.36 113.48 106.74 84.27 70.79 65.17 83.15
1200.00 100.00
P 11 11 10.4 9.7 7.8 6.5 6.1 6.1
48.10 4.01
2004 % 132.61 181.13 122.91 42.05 21.56 0.00 122.91 103.50 59.30 88.41 40.97 284.64 1200.00 100.00
P 22.1 20.8 4.4 6.2 0 0.1 3.8 1 0.7 3.6 3.6 8.4 74.70 6.23
2003 % 119.25 113.93 113.93 111.80 90.51 74.53 50.04 72.40
1200.00 100.00
2005 % 355.02 334.14 70.68 99.60 0.00 1.61 61.04 16.06 11.24 57.83 57.83 134.94 1200.00 100.00
P 32.1 13.8 18.2 21.1 0 0 0 0 21.7 21.4 20.8 6.7 155.80 12.98
2004 % 122.11 122.11 115.45 107.68 86.59 72.16 67.72 67.72
P 10.4 10 10.6 10.4 5.9 5.3 5.7 7.2
2005 % 116.31 111.84 118.55 116.31 65.98 59.27 63.75 80.52
P 10.9 10.3 11.3 10 7.5 5.9 6.4 7.1
102.25 113.48 125.84 114.61 1200.00 100.00
8.6 10.7 11.4 11.9 112.70 9.39
91.57 113.93 121.38 126.71 1200.00 100.00
7.5 9.6 10.4 12 108.10 9.01
83.26 106.57 115.45 133.21 1200.00 100.00
9.5 9.8 11.3 11.2 107.30 8.94
106.24 109.60 126.37 125.26 1200.00 100.00
7.2 9.2 10.8 11.1 107.70 8.98
2005
2006 % 287.23 233.96 97.48 85.13 0.00 0.00 0.00 0.00 74.69 136.75 165.03 119.73 1200.00 100.00
P 120.70 54.40 57.00 18.80 2.30 0.00 0.00 0.00 4.10 45.20 35.80 41.30 379.60 31.63
2005
2007 % 381.56 171.97 180.19 59.43 7.27 0.00 0.00 0.00 12.96 142.89 113.17 130.56 1200.00 100.00
P 115.00 62.70 79.00 11.80 0.00 0.00 2.10 0.00 18.40 20.90 44.50 75.60 430.00 35.83
2006 % 187.11 107.28 109.77 77.34 0.00 0.00 0.00 0.00 339.29 177.13 137.21 64.86
P 5.2 4.2 5.2 2.7 2.3 0 0 0 1.4 9 4 2.8
2008 % 320.93 174.98 220.47 32.93 0.00 0.00 5.86 0.00 51.35 58.33 124.19 210.98 1200.00 100.00
P 108.60 48.50 50.70 2.00 0.00 0.00 0.00 2.30 2.10 21.00 10.40 92.30 337.90 28.16
2007 % 169.57 136.96 169.57 88.04 75.00 0.00 0.00 0.00 45.65 293.48 130.43 91.30
P 5.2 4.8 3.8 1.7 0 0 2.1 0 1.5 3 4 4
2009 % 385.68 172.24 180.05 7.10 0.00 0.00 0.00 8.17 7.46 74.58 36.93 327.79 1200.00 100.00
P 138.70 110.90 102.50 25.80 4.70 0.00 0.00 0.00 6.40 3.20 80.20 99.30 571.70 47.64
2008 % 207.31 191.36 151.50 67.77 0.00 0.00 83.72 0.00 59.80 119.60 159.47 159.47
P 4.5 3.2 3.2 1 0 0 0 1.2 2.1 1.9 1 4
2009 % 244.34 173.76 173.76 54.30 0.00 0.00 0.00 65.16 114.03 103.17 54.30 217.19
P 5.3 5.8 4.5 5.2 2.4 0 0 0 3.2 1.6 5.4 5.5
1200.00 100.00
36.80 3.07
2005
1200.00 100.00
30.10 2.51
2006 % 247.24 106.29 140.18 162.52 0.00 0.00 0.00 0.00 167.14 164.83 160.21 51.60 1200.00 100.00
P 30.2 12.5 16.8 7.5 2.3 0 0 0 2.7 27.2 8.6 14.2 122.00 10.17
2005 P
10.4 10.5 10.8 10 7 6 6 7.3
22.10 1.84
2007 % 297.05 122.95 165.25 73.77 22.62 0.00 0.00 0.00 26.56 267.54 84.59 139.67 1200.00 100.00
P 34.8 21.5 15.1 4.7 0 0 2.1 0 10.2 8.7 21.5 21.5 140.10 11.68
2006 % 121.45 114.76 125.91 111.42 83.57 65.74 71.31 79.11
1200.00 100.00
P 11.5 11.1 10.6 10.1 7.5 7.7 5.4 8.3
38.90 3.24
2008 % 298.07 184.15 129.34 40.26 0.00 0.00 17.99 0.00 87.37 74.52 184.15 184.15 1200.00 100.00
P 19.7 11 13 1.8 0 0 0 2.1 2.1 5.1 2.1 13.3 70.20 5.85
2007 % 114.08 115.17 118.46 109.69 76.78 65.81 65.81 80.07
1200.00 100.00
2009 % 336.75 188.03 222.22 30.77 0.00 0.00 0.00 35.90 35.90 87.18 35.90 227.35 1200.00 100.00
P 25 15.8 23 8.9 4 0 0 0 5.2 2.8 15.8 18.8 119.30 9.94
2008 % 123.88 119.57 114.18 108.80 80.79 82.94 58.17 89.41
P 10.2 9.9 9.6 8.9 6.4 6 5.9 6.9
2009 % 117.24 113.79 110.34 102.30 73.56 68.97 67.82 79.31
P 10 10.3 9.7 8.8 7.7 5.5 5.7 6.3
80.22 102.51 120.33 123.68 1200.00 100.00
7.6 10.6 11.6 11.6 109.40 9.12
83.36 116.27 127.24 127.24 1200.00 100.00
8.8 10.1 10 10.3 111.40 9.28
94.79 108.80 107.72 110.95 1200.00 100.00
8.5 10 11.5 10.6 104.40 8.70
97.70 114.94 132.18 121.84 1200.00 100.00
9.2 10.9 12.4 11.8 108.30 9.03
2009
2010 % 291.13 232.78 215.15 54.15 9.87 0.00 0.00 0.00 13.43 6.72 168.34 208.43 1200.00 100.00
P 112.90 52.70 66.40 26.00 4.00 0.00 0.50 6.50 0.80 36.70 20.80 63.80 391.10 32.59
2009
2011 % 346.41 161.70 203.73 79.77 12.27 0.00 1.53 19.94 2.45 112.61 63.82 195.76 1200.00 100.00
P 74.40 197.90 149.60 3.50 14.00 0.00 1.60 0.00 0.00 8.00 44.20 91.80 585.00 48.75
2010 % 163.50 178.92 138.82 160.41 74.04 0.00 0.00 0.00 98.71 49.36 166.58 169.67
P 5.6 3.1 5.5 3.2 1 0 0.5 6.5 0.8 9.2 3 4
2012 % 152.62 405.95 306.87 7.18 28.72 0.00 3.28 0.00 0.00 16.41 90.67 188.31 1200.00 100.00
P 115.70 108.00 96.00 23.80 0.00 0.00 0.00 0.00 9.80 16.10 66.80 100.20 536.40 44.70
2011 % 158.49 87.74 155.66 90.57 28.30 0.00 14.15 183.96 22.64 260.38 84.91 113.21
P 6.8 9.4 8.3 1.2 4.7 0 1.6 0 0 1.6 4 6.1
2013 % 258.84 241.61 214.77 53.24 0.00 0.00 0.00 0.00 21.92 36.02 149.44 224.16 1200.00 100.00
P 143.30 173.70 20.60 0.20 7.90 1.00 1.00 11.00 1.40 18.40 27.80 87.40 493.70 41.14
2012 % 186.73 258.12 227.92 32.95 129.06 0.00 43.94 0.00 0.00 43.94 109.84 167.51
P 5.5 4.9 5.6 2.4 0 0 0 0 2.4 8 4.8 5.9
2013 % 167.09 148.86 170.13 72.91 0.00 0.00 0.00 0.00 72.91 243.04 145.82 179.24
P 6.5 8.3 2.9 0.2 2.6 0.5 1 11 0.7 3.1 3.5 5.5
1200.00 100.00
42.40 3.53
2009
1200.00 100.00
43.70 3.64
2010 % 251.47 158.93 231.35 89.52 40.23 0.00 0.00 0.00 52.31 28.16 158.93 189.10 1200.00 100.00
P 20.2 15.8 19.4 12.4 1.8 0 0.5 6.5 0.8 15.6 8.8 12.9 114.70 9.56
2009 P
11.5 12.3 11.3 10.5 7.7 8.2 6.6 8.6
39.50 3.29
2011 % 211.33 165.30 202.96 129.73 18.83 0.00 5.23 68.00 8.37 163.21 92.07 134.96 1200.00 100.00
P 19.8 46.3 45.7 1.8 8.4 0 1.6 0 0 6.4 11 29 170.00 14.17
2010 % 110.80 114.13 107.48 97.51 85.32 60.94 63.16 69.81
1200.00 100.00
P 11.3 9.9 10.1 10 7.8 7.4 6.3 7.8
45.80 3.82
2012 % 139.76 326.82 322.59 12.71 59.29 0.00 11.29 0.00 0.00 45.18 77.65 204.71 1200.00 100.00
P 28.8 14.3 16.3 5.7 0 0 0 0 8.6 9.2 16.7 21.2 120.80 10.07
2011 % 117.65 125.83 115.60 107.42 78.77 83.89 67.52 87.98
1200.00 100.00
2013 % 286.09 142.05 161.92 56.62 0.00 0.00 0.00 0.00 85.43 91.39 165.89 210.60 1200.00 100.00
P 17.7 40.8 6.5 0.2 5.8 0.6 1 11 1 9.1 13.2 13.7 120.60 10.05
2012 % 123.16 107.90 110.08 108.99 85.01 80.65 68.66 85.01
P 10.2 10 9.7 9.9 6.9 6.4 6.5 8
2013 % 109.68 107.53 104.30 106.45 74.19 68.82 69.89 86.02
P 10.7 10.6 12.4 9.9 9.3 6.2 7.4 7.6
101.94 120.78 137.40 130.75 1200.00 100.00
8.9 10 10 11.7 117.30 9.78
91.05 102.30 102.30 119.69 1200.00 100.00
8.5 9.6 10.8 10.6 110.10 9.18
92.64 104.63 117.71 115.53 1200.00 100.00
9.9 10.9 11.6 11.6 111.60 9.30
106.45 117.20 124.73 124.73 1200.00 100.00
8.4 10.2 11.9 11.7 116.30 9.69
2013
2014 % 348.31 422.20 50.07 0.49 19.20 2.43 2.43 26.74 3.40 44.72 67.57 212.44 1200.00 100.00
P 101.90 127.20 8.60 7.50 9.50 0.00 0.00 0.50 5.10 96.30 28.80 17.70 403.10 33.59
2013
2015 % 303.35 378.67 25.60 22.33 28.28 0.00 0.00 1.49 15.18 286.68 85.74 52.69 1200.00 100.00
P 113.80 88.10 45.60 42.10 0.00 0.00 0.00 8.70 5.00 40.90 34.40 23.10 401.70 33.48
2014 % 170.31 217.47 75.98 5.24 68.12 13.10 26.20 288.21 18.34 81.22 91.70 144.10
P 4.1 6.1 1 1.1 4.8 0 0 0.5 1.7 12 3.6 2
2016 % 339.96 263.18 136.22 125.77 0.00 0.00 0.00 25.99 14.94 122.18 102.76 69.01 1200.00 100.00
P 47.3 101 18.8 20.8 0 0 0 0 11.9 15.4 4.7 45.6 265.50 22.13
2015 % 133.33 198.37 32.52 35.77 156.10 0.00 0.00 16.26 55.28 390.24 117.07 65.04
P 4.4 6.3 2.5 3.2 0 0 0 4.4 1.7 5.8 5.7 3.3
2016 % 141.55 202.68 80.43 102.95 0.00 0.00 0.00 141.55 54.69 186.60 183.38 106.17
P 2.6 5.6 2.7 3.0 0.0 0.0 0.0 0.0 2.4 1.2 0.5 2.8
SUMA % AÑOS COMPLETOS % Suma 213.79 8893.77 456.50 7249.30 84.97 5017.15 94.01 1810.85 0.00 173.34 0.00 125.95 0.00 113.05 0.00 325.66 53.79 720.67 69.60 2610.19 21.24 2948.73 206.10 6011.34 1200.00 36000.00 100.00 3000.00
SUMA % AÑOS COMPLETOS % Suma 150.00 5027.83 323.08 5006.60 155.77 3825.81 173.08 2947.70 0.00 903.38 0.00 753.31 0.00 704.03 0.00 1595.51 138.46 2539.12 69.23 4367.00 28.85 3642.40 161.54 4687.32
1200.00 100.00
36.90 3.08
2013
1200.00 100.00
37.30 3.11
2014 % 176.12 405.97 64.68 1.99 57.71 5.97 9.95 109.45 9.95 90.55 131.34 136.32 1200.00 100.00
P 14 18.2 2.2 2.1 6.3 0 0 0.5 4.5 25.6 9 5.4 87.80 7.32
2013 P
11 11.2 11.4 10.8 7.9 7.3 5.7 6.9
20.80 1.73
2015 % 191.34 248.75 30.07 28.70 86.10 0.00 0.00 6.83 61.50 349.89 123.01 73.80 1200.00 100.00
P 26.5 17 14.3 14 0 0 0 8.1 2.6 23.6 12 7 125.10 10.43
2014 % 110.40 109.37 127.94 102.15 95.96 63.97 76.35 78.42
1200.00 100.00
2016 % 254.20 163.07 137.17 134.29 0.00 0.00 0.00 77.70 24.94 226.38 115.11 67.15 1200.00 100.00
P 13.1 18 7.2 12 0 0 0 0 3.5 5.6 1.7 10.6 71.70 5.98
2015 % 113.99 116.06 118.13 111.92 81.87 75.65 59.07 71.50
P 10.6 11.4 11.1 10.6 8 7.9 6.5 8
2016 % 104.43 112.32 109.36 104.43 78.82 77.83 64.04 78.82
P 12.4 11.3 13.1 11.9 8.7 6.7 8 8
1200.00 100.00
36000.00 3000.00
SUMA % AÑOS COMPLETOS % Suma 219.25 6688.15 301.26 5807.17 120.50 4708.72 200.84 2779.23 0.00 426.63 0.00 364.62 0.00 293.73 0.00 960.67 58.58 1639.37 93.72 3695.22 28.45 3521.59 177.41 5114.90 1200.00 36000.00 100.00 3000.00
SUMA % AÑOS COMPLETOS % Suma 117.81 3532.49 107.36 3421.75 124.47 3429.88 113.06 3215.67 82.66 2506.22 63.66 2083.36 76.01 1955.27 76.01 2387.27
86.67 105.25 122.79 120.72 1200.00 100.00
9.3 10.4 11.7 12.2 115.80 9.65
96.37 107.77 121.24 126.42 1200.00 100.00
9.9 11.7 13 13.1 121.80 10.15
97.54 115.27 128.08 129.06 1200.00 100.00
9.6 11.8 12.6 12.2 126.30 10.53
91.21 112.11 119.71 115.91 1200.00 100.00
2787.23 3331.89 3622.77 3726.19 36000.00 3000.00
UMA % AÑOS COMPLETOS Promedio 306.68 249.98 173.01 62.44 5.98 4.34 3.90 11.23 24.85 90.01 101.68 207.29 1200.00 100.00
UMA % AÑOS COMPLETOS Promedio 173.37 172.64 131.92 101.64 31.15 25.98 24.28 55.02 87.56 150.59 125.60 161.63
1200.00 100.00
UMA % AÑOS COMPLETOS Promedio 230.63 200.25 162.37 95.84 14.71 12.57 10.13 33.13 56.53 127.42 121.43 176.38 1200.00 100.00
UMA % AÑOS COMPLETOS Promedio 121.81 117.99 118.27 110.89 86.42 71.84 67.42 82.32
96.11 114.89 124.92 128.49 1200.00 100.00
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación total (mm) ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV 62.4 68.7 0 9.2 0.3 0.4 0 0 4.6 28 48 149.9 36.6 69.6 10.4 0 11.5 3 0 3.7 60.1 40.5 78.3 53.2 174.2 44 1.6 0 0 0 38.2 18 24 56.5 59.5 36 90.7 0 1.2 0 0 1.5 10 17.7 121.3 81.5 30 19.3 1 11.8 0 5.2 0 29.6 66.1 128 89.7 65.8 17.8 0 0 0 0.5 2.5 34.3 46 98.3 84.2 32.6 2.5 0 6.8 2.5 3.9 0 40.4 46.4 128.3 37.6 65.5 4.9 0 0 0 15.8 14.1 23.5 35.8 101.6 30.8 35.4 7.2 1.2 0 0 0 2.3 4.5 40.1 107.8 44.2 80.9 0.1 2 1.42 1.27 3.67 7.52 28.64 33.00 73.2 73.9 40.9 19 2 0 0 26.7 2.6 32.7 57.8 137.7 119.7 76.6 70.8 0 0 0 5 44.9 13.5 27.5 53.6 91.2 51.3 11.2 0 1.4 0 6.8 0 65.6 51.8 59.1 66.2 117.1 15.5 0 0 0.5 0 31.5 37.1 4.2 117.8 39.4 65 8.5 0 0 0 0.4 1.8 22.5 3.8 172.3 132 106.2 28.2 0 0.2 0 8.4 12.4 31.4 11 91.3 92.6 55.7 17.4 10 9 2.3 0.2 3 44.2 54.2 83.9 79.6 40.8 11.8 6.4 0 11.4 11.2 6.3 10 7.7 84.3 102.4 32.1 18.4 0 0.1 10.5 1.8 0.8 5.2 6.1 104.6 85.2 35.5 31 0 0 0 0 27.2 49.8 60.1 120.7 54.4 57 18.8 2.3 0 0 0 4.1 45.2 35.8 115 62.7 79 11.8 0 0 2.1 0 18.4 20.9 44.5 108.6 48.5 50.7 2 0 0 0 2.3 2.1 21 10.4 138.7 110.9 102.5 25.8 4.7 0 0 0 6.4 3.2 80.2 112.9 52.7 66.4 26 4 0 0.5 6.5 0.8 36.7 20.8 74.4 197.9 149.6 3.5 14 0 1.6 0 0 8 44.2 115.7 108 96 23.8 0 0 0 0 9.8 16.1 66.8 143.3 173.7 20.6 0.2 7.9 1 1 11 1.4 18.4 27.8 101.9 127.2 8.6 7.5 9.5 0 0 0.5 5.1 96.3 28.8 113.8 88.1 45.6 42.1 0 0 0 8.7 5 40.9 34.4 47.3 101 18.8 20.8 0 0 0 0 11.9 15.4 4.7 105.17 83.08 62.91 19.98 2.23 1.49 1.22 3.95 8.60 29.86 35.85
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
DIC 147.2 31 95.2 54.5 103.9 34.9 55.3 82.4 75.9 81.8 90.4 28.3 49 47.1 120.5 74.9 13.6 124.4 54.2 43.6 41.3 75.6 92.3 99.3 63.8 91.8 100.2 87.4 17.7 23.1 45.6 70.02
ANUAL 368.8 416.3 526.7 327.6 469.7 419.5 372.9 407.9 299 392.33 419.2 524 381.9 378.3 379.7 577 393.5 393.5 315.9 437 379.6 430 337.9 571.7 391.1 585 536.4 493.7 403.1 401.7 265.5 424.36
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
ENE 2.8 7.1 4.4 4.4 5.8 8 3.8 5.1 5.6 4.9 4.3 5.3 3.1 2.6 4.5 6.2 4.6 4.2 4.2 7.5 5.2 5.2 4.5 5.3 5.6 6.8 5.5 6.5 4.1 4.4 2.6 5.05
stación: Potosí Los Pinos epartamento: Potosí rovincia: Tomás Frías
FEB 4.3 4.6 3.8 4.6 4.8 6 3.7 2.9 2.4 3.2 5.3 5.4 5.1 3.5 2.6 7 4.9 3.8 6 4.3 4.2 4.8 3.2 5.8 3.1 9.4 4.9 8.3 6.1 6.3 5.6 4.81
MAR 0 5.8 7.9 3.6 3.8 3.3 3.3 3.4 3.5 5.8 3.1 3.3 3.2 4.5 3.6 4.8 2.9 2.6 2 4.4 5.2 3.8 3.2 4.5 5.5 8.3 5.6 2.9 1 2.5 2.7 3.91
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación media (mm) ABR MAY JUN JUL AGO SEP 1.8 0.3 0.4 0 0 2.3 5.2 0 5.8 1.5 0 3.7 3.7 1.6 0 0 0 6.4 8.2 0 1.2 0 0 1.5 2.8 1 3.9 0 1.7 0 3 0 0 0 0.5 2.5 2.5 0 6.8 1.2 1 0 1.6 0 0 0 5.3 7 1.8 1.2 0 0 0 1.2 0.1 2 0.74 0.69 1.57 2.36 2.7 1 0 0 6.7 1.3 5.9 0 0 0 1.7 4.5 5.6 0 1.4 0 3.4 0 1.6 0 0 0.2 0 5.2 2.1 0 0 0 0.4 1.8 2.8 0 0.2 0 2.1 3.1 2.5 5 4.5 0.8 0.1 1.5 2 1.3 0 11.4 3.7 2.1 3.1 0 0.1 2.1 0.9 0.4 3.1 0 0 0 0 13.6 2.7 2.3 0 0 0 1.4 1.7 0 0 2.1 0 1.5 1 0 0 0 1.2 2.1 5.2 2.4 0 0 0 3.2 3.2 1 0 0.5 6.5 0.8 1.2 4.7 0 1.6 0 0 2.4 0 0 0 0 2.4 0.2 2.6 0.5 1 11 0.7 1.1 4.8 0 0 0.5 1.7 3.2 0 0 0 4.4 1.7 3.0 0.0 0.0 0.0 0.0 2.4 2.80 1.04 0.85 0.77 1.76 2.53
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Esta Datos de : Pre OCT 7 8.6 4.5 3.3 2.1 4.9 4.5 3.4 1.1 4.23 4.7 1.9 7.3 3.7 2.2 4.5 3.4 1.7 1.7 7.1 9 3 1.9 1.6 9.2 1.6 8 3.1 12 5.8 1.2 4.57
NOV 5.3 2.9 8 5.9 5.5 4.6 5.2 4.5 2.9 3.56 3.8 2.5 5.2 0.8 1 1.6 4.5 1.5 2 5.5 4 4 1 5.4 3 4 4.8 3.5 3.6 5.7 0.5 3.86
DIC 6.7 30.9 3.9 49.1 6.8 47.1 4.2 36.9 8.7 40.1 5.8 38.6 4.6 36.6 4.1 37.3 6.3 26 5.1 34.26 3.8 36.7 1.8 32.3 3.3 37.6 3.6 25.7 7.1 25.3 3.7 36 1.7 36.4 7.3 41.6 3.9 26.4 2.6 48.1 2.8 36.8 4 30.1 4 22.1 5.5 38.9 4 42.4 6.1 43.7 5.9 39.5 5.5 45.8 2 36.9 3.3 37.3 2.8 20.8 4.60 36.55
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
ENE 18.1 16.5 18.8 14 25.2 25 15.6 17.5 21.1 17.2 15.1 20.4 15.2 12.4 16.6 20 19.7 12.3 22.1 32.1 30.2 34.8 19.7 25 20.2 19.8 28.8 17.7 14 26.5 13.1 20.39
FEB 16 10 11.5 13 18.2 21 12.5 8.4 4.9 11.6 24 15.4 21.8 14 10 28.4 28.7 16.8 20.8 13.8 12.5 21.5 11 15.8 15.8 46.3 14.3 40.8 18.2 17 18 17.80
MAR 0 14 24 13 16.2 13 15 10 19.2 11.8 7.2 15.3 14.2 24.6 10 24.7 11.1 11.4 4.4 18.2 16.8 15.1 13 23 19.4 45.7 16.3 6.5 2.2 14.3 7.2 14.99
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación máxima en 24 hrs (mm) ABR MAY JUN JUL AGO SEP 3.4 0.3 0.4 0 0 4.4 7.4 0 9.5 2 0 3.7 14 1.6 0 0 0 15 31.2 0 1.2 0 0 1.5 7 1 5.6 0 2.2 0 14 0 0 0 0.5 2.5 2.5 0 6.8 1.4 2 0 4.2 0 0 0 10.2 10.8 3.3 1.2 0 0 0 1.3 0.1 2 0.87 0.70 2.30 3.78 10.8 1.6 0 0 20.4 1.4 20.8 0 0 0 4.2 17.1 8.4 0 1.4 0 5.8 0 4.5 0 0 0.4 0 15 6.4 0 0 0 0.4 1.8 9.9 0 0.2 0 6.9 8.4 6.2 5.6 8.4 2.1 0.1 1.8 3.9 2 0 11.4 9.6 5.5 6.2 0 0.1 3.8 1 0.7 21.1 0 0 0 0 21.7 7.5 2.3 0 0 0 2.7 4.7 0 0 2.1 0 10.2 1.8 0 0 0 2.1 2.1 8.9 4 0 0 0 5.2 12.4 1.8 0 0.5 6.5 0.8 1.8 8.4 0 1.6 0 0 5.7 0 0 0 0 8.6 0.2 5.8 0.6 1 11 1 2.1 6.3 0 0 0.5 4.5 14 0 0 0 8.1 2.6 12 0 0 0 0 3.5 8.15 1.46 1.17 0.90 3.13 5.14
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
OCT 10 20 7 4 5.8 10 20 8.6 1.6 8.61 17.3 8.2 15 10.8 6.6 11.9 12.1 8.2 3.6 21.4 27.2 8.7 5.1 2.8 15.6 6.4 9.2 9.1 25.6 23.6 5.6 11.47
NOV 13 7.2 11 11.2 19.2 25 10.4 16.5 7.2 8.35 13.1 6.2 23.4 2.2 2.4 5.2 17.1 3.8 3.6 20.8 8.6 21.5 2.1 15.8 8.8 11 16.7 13.2 9 12 1.7 11.52
DIC 19.5 16.8 17.5 13.5 35.4 14.7 15 8.7 16.1 15.9 13.2 8 16.2 12 22.4 20.5 5.4 26.4 8.4 6.7 14.2 21.5 13.3 18.8 12.9 29 21.2 13.7 5.4 7 10.6 15.64
Max 19.5 20 24 31.2 35.4 25 20 17.5 21.1 17.2 24 20.8 23.4 24.6 22.4 28.4 28.7 26.4 22.1 32.1 30.2 34.8 19.7 25 20.2 46.3 28.8 40.8 25.6 26.5 18 26.06
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
ENE 11.2 11 12 11 11 12.2 10.4 9.8 10.6 10.9 11.3 11 13.3 10.6 10.6 9.6 11.2 11 10.4 10.9 10.4 11.5 10.2 10 11.5 11.3 10.2 10.7 11 10.6 12.4 10.91
FEB 11.1 10.1 11.1 10.6 10.4 11.8 7.6 9.3 11.1 10.8 11.2 10.3 12.9 10.9 10 10 10.7 11 10 10.3 10.5 11.1 9.9 10.3 12.3 9.9 10 10.6 11.2 11.4 11.3 10.61
MAR 10.6 9.9 11.3 10.3 10.4 11.2 9.4 9.8 10.3 10.5 10.7 8.6 12.8 10.7 10.7 10.1 10.7 10.4 10.6 11.3 10.8 10.6 9.6 9.7 11.3 10.1 9.7 12.4 11.4 11.1 13.1 10.57
Latitud Sud: 19° 35 Longitud Oeste: 65 Altura m/s/n/m: 39
Estación Potosí - L Datos de : Temperatura ABR MAY 10.1 6.7 9.8 7.9 10.1 8.3 9.5 8.1 10.1 8.2 10.5 8.4 8.6 8.8 9.9 7.4 10.3 8 9.9 8.5 10.4 8.5 8 6.5 11 8.1 9.6 7.5 10.1 8.8 9.5 7.5 10.5 8.5 9.7 7.8 10.4 5.9 10 7.5 10 7 10.1 7.5 8.9 6.4 8.8 7.7 10.5 7.7 10 7.8 9.9 6.9 9.9 9.3 10.8 7.9 10.6 8 11.9 8.7 9.92 7.77
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Temperatura media (ºC) JUN JUL AGO SEP 6.1 4.2 6.7 6.8 6 6.8 8.2 9.4 6.6 7.1 9.4 9.6 6.5 6 6.7 8.5 6.4 5 7.6 8 7.2 6.6 8.2 8 6.2 5.4 5.6 6.8 6.5 5.6 6.5 8.1 6 6.8 8.6 9.6 6.41 5.96 7.33 8.55 6.9 6 7.7 8.3 5.7 7.1 7.5 10.2 6.7 7.3 7.5 8.9 5.6 5.7 7.2 8.4 5.4 4.2 6.9 8.6 6.3 5.8 7.4 9.1 7 4.7 6.8 8.6 6.5 6.1 6.1 7.5 5.3 5.7 7.2 9.5 5.9 6.4 7.1 7.2 6 6 7.3 7.6 7.7 5.4 8.3 8.8 6 5.9 6.9 8.5 5.5 5.7 6.3 9.2 8.2 6.6 8.6 8.9 7.4 6.3 7.8 8.5 6.4 6.5 8 9.9 6.2 7.4 7.6 8.4 7.3 5.7 6.9 9.3 7.9 6.5 8 9.9 6.7 8 8 9.6 6.46 6.02 7.40 8.62
OCT 9 11 10 10.6 11.3 9.6 10.2 10.7 10.7 10.21 10.9 10.8 9.5 9.9 10.2 10.1 10.7 9.6 9.8 9.2 10.6 10.1 10 10.9 10 9.6 10.9 10.2 10.4 11.7 11.8 10.28
NOV 10.9 11.8 10.4 10.6 12.4 10.2 9.8 11.7 11.5 11.11 10.8 12.3 10.9 10.4 11.1 11.2 11.4 10.4 11.3 10.8 11.6 10 11.5 12.4 10 10.8 11.6 11.9 11.7 13 12.6 11.18
DIC 10.4 12.3 11.2 12.1 12.4 11.1 11.2 11.7 11.4 10.2 11.4 13.2 11.6 11.9 11 10.2 11.9 12 11.2 11.1 11.6 10.3 10.6 11.8 11.7 10.6 11.6 11.7 12.2 13.1 12.2 11.49
ANUAL 8.65 9.52 9.76 9.21 9.43 9.58 8.33 8.92 9.58 9.20 9.51 9.27 10.04 9.03 8.97 8.90 9.39 9.01 8.94 8.98 9.12 9.28 8.70 9.03 9.78 9.18 9.30 9.69 9.65 10.15 10.53 9.31
DISTRIBUCION GUMBEL
AÑO
P 24MAX
i
Precipitacion
Weibull
1986
19.5
1
19.50
3.13%
1987
20
2
20.00
6.25%
1988
24
3
24.00
9.38%
1989
31.2
4
31.20
12.50%
1990
35.4
5
35.40
15.63%
1991
25
6
25.00
18.75%
1992
20
7
20.00
21.88%
1993
17.5
8
17.50
25.00%
1994
21.1
9
21.10
28.13%
1995
17.2
10
17.20
31.25%
1996
24
11
24.00
34.38%
1997
20.8
12
20.80
37.50%
1998
23.4
13
23.40
40.63%
1999
24.6
14
24.60
43.75%
2000
22.4
15
22.40
46.88%
2001
28.4
16
28.40
50.00%
2002
28.7
17
28.70
53.13%
2003
26.4
18
26.40
56.25%
2004
22.1
19
22.10
59.38%
2005
32.1
20
32.10
62.50%
2006
30.2
21
30.20
65.63%
2007
34.8
22
34.80
68.75%
2008
19.7
23
19.70
71.88%
2009
25
24
25.00
75.00%
2010
20.2
25
20.20
78.13%
2011
46.3
26
46.30
81.25%
2012
28.8
27
28.80
84.38%
2013
40.8
28
40.80
87.50%
2014
25.6
29
25.60
90.63%
2015
26.5
30
26.50
93.75%
2016
18
31
18.00
96.88%
Estadígrafos Nº Datos
31
Media
25.80
Desviacion
6.83
Asimetría
1.24
50.00 45.00 40.00 35.00 30.00
Parametros Gumbel
25.00
α
20.00
5.32
15.00 10.00 5.00
35.00 30.00 25.00 20.00 μ
22.72
T
P24max
5
30.71
10
34.70
25
39.75
50
43.49
100
47.21
15.00 10.00 5.00
0.00 0.00% 10.00% 20.00% 30.00% 40.00% 50.00% 60.00% 70.00% 80.00 Gumbel Teóri ca
DISTRIBUCION PROBALISTICA LOG-NORMAL
AÑO
P 24MAX
m
X
ln(x)
1986
19.5
1
19.5
2.97
1987
20
2
20
3.00
1988
24
3
24
3.18
1989
31.2
4
31.2
3.44
1990
35.4
5
35.4
3.57
1991
25
6
25
3.22
1992
20
7
20
3.00
1993
17.5
8
17.5
2.86
1994
21.1
9
21.1
3.05
1995
17.2
10
17.2
2.84
1996
24
11
24
3.18
1997
20.8
12
20.8
3.03
1998
23.4
13
23.4
3.15
1999
24.6
14
24.6
3.20
2000
22.4
15
22.4
3.11
2001
28.4
16
28.4
3.35
2002
28.7
17
28.7
3.36
2003
26.4
18
26.4
3.27
2004
22.1
19
22.1
3.10
2005
32.1
20
32.1
3.47
2006
30.2
21
30.2
3.41
2007
34.8
22
34.8
3.55
2008
19.7
23
19.7
2.98
2009
25
24
25
3.22
2010
20.2
25
20.2
3.01
2011
46.3
26
46.3
3.84
2012
28.8
27
28.8
3.36
2013
40.8
28
40.8
3.71
2014
25.6
29
25.6
3.24
2015
26.5
30
26.5
3.28
2016
18
31
18
2.89
50.00 45.00 40.00 35.00
Empíri co
50.00 45.00
Estadigrafos log
40.00
Datos
31
Media
3.22
Desviacion
0.24
30.00
Simetria
0.62
25.00
35.00
20.00 T
P 24max
5
30.75
10
34.24
25
38.41
50
41.36
100
44.22
15.00 10.00 5.00
0.00 0.00% 10.00% 20.00% 30.00% 40.00% 50.00% 60.00% 70.00% 80.00% 90.0
Teori co l og Norma l
DISTRIBUCION PROBABILISTICA LOG-PEARSON
AÑO
P 24MAX
i
X
Log(x)
1986
19.5
1
19.5
2.97
1987
20
2
20
3.00
1988
24
3
24
3.18
1989
31.2
4
31.2
3.44
1990
35.4
5
35.4
3.57
1991
25
6
25
3.22
1992
20
7
20
3.00
1993
17.5
8
17.5
2.86
1994
21.1
9
21.1
3.05
1995
17.2
10
17.2
2.84
1996
24
11
24
3.18
1997
20.8
12
20.8
3.03
1998
23.4
13
23.4
3.15
1999
24.6
14
24.6
3.20
2000
22.4
15
22.4
3.11
2001
28.4
16
28.4
3.35
2002
28.7
17
28.7
3.36
2003
26.4
18
26.4
3.27
2004
22.1
19
22.1
3.10
2005
32.1
20
32.1
3.47
2006
30.2
21
30.2
3.41
2007
34.8
22
34.8
3.55
2008
19.7
23
19.7
2.98
2009
25
24
25
3.22
2010
20.2
25
20.2
3.01
2011
46.3
26
46.3
3.84
2012
28.8
27
28.8
3.36
Empíri co
2013
40.8
28
40.8
3.71
2014
25.6
29
25.6
3.24
2015
26.5
30
26.5
3.28
2016
18
31
18
2.89
Estadigrafos Log(x)
50.00
Nº Datos
31
45.00
Media
3.22
40.00
Desviacion
0.244671125
Asimetria
0.6243658307
Parametro Pearson
35.00 30.00 25.00
Forma
10.2608121299
20.00
Escala
0.0763821451
15.00
Posicion
2.4361894394
10.00
T
P24Max
5
30.42
10
34.65
25
40.29
50
44.70
100
49.31
5.00
0.00 0.00% 10.00% 20.00% 30.00% 40.00% 50.00% 60.00%
Teori co l og Pears on
E
Gumbel
Error
Kolmogorov
16.11
16.00%
11.50
0.13
17.30
18.86%
7.31
0.13
18.14
45.53%
34.37
0.36
18.83
81.59%
153.08
0.69
19.43
91.17%
254.99
0.76
19.98
52.09%
25.18
0.33
20.50
18.86%
0.25
0.03
20.99
6.94%
12.15
0.18
21.46
25.75%
0.13
0.02
21.92
5.94%
22.28
0.25
22.37
45.53%
2.64
0.11
22.83
23.80%
4.11
0.14
23.28
41.45%
0.01
0.01
23.74
49.51%
0.74
0.06
24.20
34.55%
3.24
0.12
24.68
70.87%
13.87
0.21
25.16
72.22%
12.51
0.19
25.67
60.57%
0.54
0.04
26.19
32.48%
16.74
0.27
26.74
84.21%
28.70
0.22
27.33
78.23%
8.26
0.13
27.95
90.17%
46.93
0.21
28.62
17.12%
79.60
0.55
29.36
52.09%
18.98
0.23
30.17
20.05%
99.42
0.58
31.09
98.81%
231.29
0.18
32.16
72.66%
11.29
0.12
33.44
96.70%
54.15
0.09
35.06
55.84%
89.58
0.35
37.31
61.14%
116.89
0.33
41.09
8.81%
533.05
0.88
43.52
0.88
0% 40.00% 50.00% 60.00% 70.00% 80.00% 90.00% 100.00% Gumbel Teóri ca
Empíri co
Alexeef
log Normal
Error
2.40%
15.43
15.39%
16.59
5.60%
16.96
17.97%
9.22
8.80%
17.97
43.20%
36.33
12.00%
18.77
81.62%
154.42
15.20%
19.46
92.18%
254.04
18.40%
20.08
49.83%
24.22
21.60%
20.65
17.97%
0.42
24.80%
21.19
7.19%
13.59
28.00%
21.70
24.27%
0.36
31.20%
22.20
6.27%
24.98
34.40%
22.68
43.20%
1.73
37.60%
23.16
22.48%
5.59
40.80%
23.64
39.18%
0.06
44.00%
24.12
47.20%
0.23
47.20%
24.60
32.52%
4.84
50.40%
25.09
69.74%
10.97
53.60%
25.59
71.22%
9.70
56.80%
26.10
58.64%
0.09
60.00%
26.63
30.56%
20.49
63.20%
27.18
84.55%
24.22
66.40%
27.76
77.88%
5.96
69.60%
28.37
91.11%
41.31
72.80%
29.03
16.40%
87.08
76.00%
29.75
49.83%
22.54
79.20%
30.54
19.06%
106.86
82.40%
31.43
99.40%
221.22
85.60%
32.46
71.70%
13.37
88.80%
33.70
97.71%
50.44
92.00%
35.29
53.69%
93.97
95.20%
37.61
59.24%
123.38
98.40%
42.29
8.90%
590.12
00% 50.00% 60.00% 70.00% 80.00% 90.00% 100.00%
og Norma l
Empíri co
Hanzen
Logg Pearson
Error
1.61%
16.28
14.76%
10.38
4.84%
17.51
18.01%
6.20
8.06%
18.29
47.23%
32.62
11.29%
18.91
82.39%
150.95
14.52%
19.46
91.16%
254.07
17.74%
19.96
53.98%
25.40
20.97%
20.43
18.01%
0.18
24.19%
20.88
4.80%
11.43
27.42%
21.32
25.80%
0.05
30.65%
21.75
3.81%
20.70
33.87%
22.18
47.23%
3.32
37.10%
22.61
23.61%
3.27
40.32%
23.04
42.94%
0.13
43.55%
23.48
51.35%
1.25
46.77%
23.94
35.54%
2.36
50.00%
24.40
72.39%
15.99
53.23%
24.88
73.66%
14.56
56.45%
25.39
62.45%
1.02
59.68%
25.92
33.28%
14.58
62.90%
26.48
84.80%
31.57
66.13%
27.08
79.29%
9.72
69.35%
27.73
90.25%
49.94
72.58%
28.44
16.03%
76.47
75.81%
29.23
53.98%
17.92
79.03%
30.12
19.37%
98.50
82.26%
31.15
98.43%
229.40
85.48%
32.38
74.08%
12.82
88.71%
33.91
96.31%
47.46
91.94%
35.96
57.76%
107.32
95.16%
39.10
63.01%
158.77
98.39%
46.11
6.76%
790.19 46.89
% 20.00% 30.00% 40.00% 50.00% 60.00% 70.00% 80.00% 90.00% 100.00%
Teori co l og Pears on
Empíri co
FORMACION DE SERIES ESTADISTICAS P 24MAX (x i x) (x i x) 2 19.5 6.30 39.65 20 5.80 33.60 24 1.80 3.23 31.2 5.40 29.19 35.4 9.60 92.22 25 0.80 0.63 20 5.80 33.60 17.5 8.30 68.84 21.1 4.70 22.06 17.2 8.60 73.90 24 1.80 3.23 20.8 5.00 24.97 23.4 2.40 5.74 24.6 1.20 1.43 22.4 3.40 11.54 28.4 2.60 6.78 28.7 2.90 8.43 26.4 0.60 0.36 22.1 3.70 13.67 32.1 6.30 39.73 30.2 4.40 19.39 34.8 9.00 81.06 19.7 6.10 37.17 25 0.80 0.63 20.2 5.60 31.32 46.3 20.50 420.38 28.8 3.00 9.02 40.8 15.00 225.10 25.6 0.20 0.04 26.5 0.70 0.49 18 7.80 60.79 Σ 799.7 160.08 1398.21 DATO MAX 46.3 DATO MIN 17.2 1. MEDIADAS DE VALOR CENTRAL N 31 MEDIA 25.80 MEDIANA 24.60 2. MEDIDAS DE DISPERSION OM FLUCTUACION DESVIACION MEDIA 5.16378772 DESVIACION ESTANDAR 6.82693117
Nº 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
(x i x ) 3
-249.66 -194.79 -5.80 157.75 885.63 -0.51 -194.79 -571.12 -103.61 -635.34 -5.80 -124.76 -13.77 -1.71 -39.19 17.64 24.47 0.22 -50.52 250.43 85.37 729.78 -226.62 -0.51 -175.31 8619.19 27.09 3377.18 -0.01 0.35 -473.96 11107.32
( xi x ) 4
144590.06 160000.00 331776.00 172970.16 68765.10 390625.00 160000.00 93789.06 198211.94 87521.31 331776.00 187177.37 299821.95 366218.63 251763.10 289380.18 274696.07 402862.98 238544.33 144398.81 209474.56 79537.12 150613.85 390625.00 166496.64 785.21 269927.89 13572.41 429496.73 396504.67 104976.00 6806898.14
VARIANZA 45.103538 RANGO 29.1 3. FORMAS DE DISTRIBUCION COEF. ASIMETRIA 1.24387046 Ca>0 Entonces esta sesgada a la derecha COEF. CURTOSIS 104.936005 Cku>0 entonces la desviacion es Leptocurtica
Nº 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
X 19.5 20 24 31.2 35.4 25 20 17.5 21.1 17.2 24 20.8 23.4 24.6 22.4 28.4 28.7 26.4 22.1 32.1 30.2 34.8 19.7 25 20.2 46.3 28.8 40.8 25.6 26.5 18
Estadigrafos Datos 31 Media 25.80 Desviacion 6.83 Asimetria 1.24 Parámetros Forma α 2.59 Escala β 4.25
Ln(x) 2.97 3.00 3.18 3.44 3.57 3.22 3.00 2.86 3.05 2.84 3.18 3.03 3.15 3.20 3.11 3.35 3.36 3.27 3.10 3.47 3.41 3.55 2.98 3.22 3.01 3.84 3.36 3.71 3.24 3.28 2.89
30.00 3.23 3.23 3.24 0.38 5.22
Weibull 3.13% 6.25% 9.38% 12.50% 15.63% 18.75% 21.88% 25.00% 28.13% 31.25% 34.38% 37.50% 40.63% 43.75% 46.88% 50.00% 53.13% 56.25% 59.38% 62.50% 65.63% 68.75% 71.88% 75.00% 78.13% 81.25% 84.38% 87.50% 90.63% 93.75% 96.88%
DISTRIBUCIONES Normal Log Normal 17.82% 46.78% 19.79% 47.10% 39.62% 49.35% 78.57% 52.59% 92.02% 54.14% 45.35% 49.85% 19.79% 47.10% 11.21% 45.45% 24.57% 47.76% 10.40% 45.24% 39.62% 49.35% 23.21% 47.58% 36.28% 49.03% 43.04% 49.65% 30.94% 48.49% 64.85% 51.43% 66.47% 51.56% 53.52% 50.52% 29.41% 48.33% 82.21% 52.94% 74.05% 52.19% 90.64% 53.93% 18.59% 46.91% 45.35% 49.85% 20.62% 47.22% 99.87% 57.42% 67.00% 51.60% 98.60% 55.88% 48.85% 50.14% 54.10% 50.57% 12.67% 45.80%
ΔMAX Δcrit
Pearson 0.00% 19.65% 47.31% 81.36% 90.75% 53.60% 19.65% 5.33% 27.27% 4.12% 47.31% 25.16% 43.34% 51.14% 36.46% 71.23% 72.49% 61.59% 34.35% 83.89% 78.16% 89.75% 17.65% 53.60% 21.01% 98.74% 72.90% 96.47% 57.15% 62.12% 7.65%
Log Pearson 65.49% 65.82% 68.03% 70.84% 72.07% 68.49% 65.82% 64.05% 66.49% 63.81% 68.03% 66.31% 67.73% 68.31% 67.22% 69.88% 69.99% 69.09% 67.06% 71.13% 70.51% 71.91% 65.63% 68.49% 65.95% 74.45% 70.02% 73.37% 68.75% 69.13% 64.43%
0.89 0.24
Como ΔMAX es mayor a Δcrit ENTONCES EL AJUSTE NO
Como ΔMAX es mayor a Δcrit ENTONCES EL AJUSTE NO Posicion x₀ 14.82 Parámetros α 5.32 betaβ 22.72
1.42 2.52 1.78
Gumbel 16.00% 18.86% 45.53% 81.59% 91.17% 52.09% 18.86% 6.94% 25.75% 5.94% 45.53% 23.80% 41.45% 49.51% 34.55% 70.87% 72.22% 60.57% 32.48% 84.21% 78.23% 90.17% 17.12% 52.09% 20.05% 98.81% 72.66% 96.70% 55.84% 61.14% 8.81%
KOLMOGOROV Normal Log Normal Pearson Log Pearson 0.147 0.437 0.031 0.624 0.135 0.408 0.134 0.596 0.302 0.400 0.379 0.587 0.661 0.401 0.689 0.583 0.764 0.385 0.751 0.564 0.266 0.311 0.349 0.497 0.021 0.252 0.022 0.439 0.138 0.205 0.197 0.390 0.036 0.196 0.009 0.384 0.209 0.140 0.271 0.326 0.052 0.150 0.129 0.337 0.143 0.101 0.123 0.288 0.043 0.084 0.027 0.271 0.007 0.059 0.074 0.246 0.159 0.016 0.104 0.203 0.149 0.014 0.212 0.199 0.133 0.016 0.194 0.169 0.027 0.057 0.053 0.128 0.300 0.110 0.250 0.077 0.197 0.096 0.214 0.086 0.084 0.134 0.125 0.049 0.219 0.148 0.210 0.032 0.533 0.250 0.542 0.062 0.296 0.251 0.214 0.065 0.575 0.309 0.571 0.122 0.186 0.238 0.175 0.068 0.174 0.328 0.115 0.144 0.111 0.316 0.090 0.141 0.418 0.405 0.335 0.219 0.396 0.432 0.316 0.246 0.842 0.511 0.892 0.324 0.842 0.511 0.892 0.624
NTONCES EL AJUSTE NO ES BUENO…
Gumbel 0.129 0.126 0.362 0.691 0.755 0.333 0.030 0.181 0.024 0.253 0.112 0.137 0.008 0.058 0.123 0.209 0.191 0.043 0.269 0.217 0.126 0.214 0.548 0.229 0.581 0.176 0.117 0.092 0.348 0.326 0.881 0.881
TABLA DE RESUMEN Tr [años] 5 10 25 50 100
Gumbel 30.71 34.70 39.75 43.49 47.21
P 24[mm] Log Normal 30.75 34.24 38.41 41.36 44.22
Log Pearson 30.42 34.65 40.29 44.70 49.31
PRECIPITACIONES DE LA CUENCA MAS CORRECCION Tr [años]
P Max diaria [mm]
5
34.70
10
39.21
25
44.92
50
49.15
100
53.35
como solo se trabajara con la estacion los pinos, solo se considerara la prescitacion máxima de dicha
a la prescitacion máxima de dicha estacion
Cuadro1_Guia para la selección de per No.
TIPO DE PROYECTO DE OBRA 1 2 3 4 5 6 7 8 9 10 11 12
drenaje urbano bajo riesgo (hasta 100 dranaje urbano mediano riesgo (mas de 1 drenaje vial aliviadero principal (presas) drenaje vial diques longitudinales (mediano riesg drenaje urbano alto riesgo (mas de 100 desarrollo de zona de inundacion diseño de puentes (pilares) diques longitudinales (alto riesgo) aliviadero de emergemcia (presas) Hidrograma de borde libre (presa de cla
ro1_Guia para la selección de periodos de retorno TIPO DE PROYECTO DE OBRA
aje urbano bajo riesgo (hasta 100 ha) urbano mediano riesgo (mas de 100ha) drenaje vial aliviadero principal (presas) drenaje vial ues longitudinales (mediano riesgo) je urbano alto riesgo (mas de 100 ha) desarrollo de zona de inundacion diseño de puentes (pilares) iques longitudinales (alto riesgo) liviadero de emergemcia (presas) grama de borde libre (presa de clase c)
PERIODO DE RETORNO(años) 5 a 10 25 a 50 25 a 50 25 a 100 50 a 100 50 a 51 a 100 100 100 a 500 200 a 1000 100 a 10000 (PMP) 10000 (PMP)
CURVAS DE PORECIPITACION-DURACION-FRECUENCIA Tr [años] P Max diaria [mm] t 5 34.70 T 10 39.21 25 44.92 50 49.15 100 53.35
P 0 , 21 Ln T 0 , 52 0 , 54 t 0 , 25 0 ,50 P1060 2 T 100 años 5 t 120 Minutos
si
coeficiente Espildora Ce= P60 min=
Tr [años] 5 10 25 50 100
5 2.56 3.00 3.57 4.00 4.44
10 3.83 4.48 5.34 5.99 6.64
4.04 9.71
15 4.69 5.48 6.53 7.33 8.12
20 5.35 6.25 7.45 8.36 9.27
25 5.89 6.89 8.21 9.21 10.21
t [min] 30 40 6.36 7.15 7.44 8.36 8.87 9.96 9.95 11.17 11.02 12.39
60 8.35 9.77 11.64 13.06 14.48
80 9.29 10.86 12.94 14.52 16.09
100 10.06 11.76 14.02 15.73 17.43
CURVA PDF 45.00
Precipitacion [mm]
40.00 35.00 30.00 25.00 20.00 15.00 10.00 5.00 0.00
0
200
400
600
800
1000
1200
1400
1600
Tiempo t [min]
t [min] Tr [años]
5
10
15
20
25
30
40
60
80
100
5
30.73
23.00
18.75
16.04
14.14
12.72
10.72
8.35
6.96
6.03
10
35.94
26.90
21.93
18.76
16.54
14.88
12.54
9.77
8.15
7.06
25
42.83
32.06
26.13
22.36
19.71
17.73
14.94
11.64
9.71
8.41
50
48.05
35.96
29.31
25.08
22.11
19.89
16.76
13.06
10.89
9.44
100
53.26
39.86
32.49
27.80
24.51
22.05
18.58
14.48
12.07
10.46
60.00 50.00 40.00
60.00 50.00 40.00 30.00 20.00 10.00 0.00
0
200
400
600
800
1000
Analisis de correlacion multiple
5 min
10 min
15 min
20 min
25 min
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
0.70
1.49
1.04
1.04
0.49
0.49
0.49
1.00
0.70
1.56
1.56
1.09
1.00
0.49
0.70
1.40
0.70
1.63
2.28
1.14
1.95
0.49
0.98
1.70
0.70
1.68
2.86
1.18
2.89
0.49
1.19
2.00
0.70
1.73
3.45
1.21
4.00
0.49
1.40
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.00
1.36
0.95
1.36
0.49
1.00
0.70
1.00
1.00
1.43
1.43
1.43
1.00
1.00
1.00
1.40
1.00
1.51
2.11
1.51
1.95
1.00
1.40
1.70
1.00
1.56
2.64
1.56
2.89
1.00
1.70
2.00
1.00
1.60
3.20
1.60
4.00
1.00
2.00
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.18
1.27
0.89
1.50
0.49
1.38
0.82
1.00
1.18
1.34
1.34
1.58
1.00
1.38
1.18
1.40
1.18
1.42
1.98
1.67
1.95
1.38
1.64
1.70
1.18
1.47
2.49
1.73
2.89
1.38
2.00
2.00
1.18
1.51
3.02
1.78
4.00
1.38
2.35
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.30
1.21
0.84
1.57
0.49
1.69
0.91
1.00
1.30
1.27
1.27
1.66
1.00
1.69
1.30
1.40
1.30
1.35
1.89
1.76
1.95
1.69
1.82
1.70
1.30
1.40
2.38
1.82
2.89
1.69
2.21
2.00
1.30
1.44
2.89
1.88
4.00
1.69
2.60
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.40
1.15
0.80
1.61
0.49
1.95
0.98
1.00
1.40
1.22
1.22
1.70
1.00
1.95
1.40
1.40
1.40
1.29
1.81
1.81
1.95
1.95
1.95
1.70
1.40
1.34
2.28
1.88
2.89
1.95
2.38
1200
1400
1600
25 min
30 min
40 min
60 min
80 min
100 min
120 min
1440 min
2.00
1.40
1.39
2.78
1.94
4.00
1.95
2.80
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.48
1.10
0.77
1.63
0.49
2.18
1.03
1.00
1.48
1.17
1.17
1.73
1.00
2.18
1.48
1.40
1.48
1.25
1.75
1.84
1.95
2.18
2.06
1.70
1.48
1.30
2.21
1.92
2.89
2.18
2.51
2.00
1.48
1.34
2.69
1.98
4.00
2.18
2.95
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.60
1.03
0.72
1.65
0.49
2.57
1.12
1.00
1.60
1.10
1.10
1.76
1.00
2.57
1.60
1.40
1.60
1.17
1.64
1.88
1.95
2.57
2.24
1.70
1.60
1.22
2.08
1.96
2.89
2.57
2.72
2.00
1.60
1.27
2.54
2.03
4.00
2.57
3.20
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.78
0.92
0.64
1.64
0.49
3.16
1.24
1.00
1.78
0.99
0.99
1.76
1.00
3.16
1.78
1.40
1.78
1.07
1.49
1.90
1.95
3.16
2.49
1.70
1.78
1.12
1.90
1.98
2.89
3.16
3.02
2.00
1.78
1.16
2.32
2.06
4.00
3.16
3.56
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.90
0.84
0.59
1.60
0.49
3.62
1.33
1.00
1.90
0.91
0.91
1.73
1.00
3.62
1.90
1.40
1.90
0.99
1.38
1.88
1.95
3.62
2.66
1.70
1.90
1.04
1.76
1.97
2.89
3.62
3.23
2.00
1.90
1.08
2.16
2.06
4.00
3.62
3.81
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
2.00
0.78
0.55
1.56
0.49
4.00
1.40
1.00
2.00
0.85
0.85
1.70
1.00
4.00
2.00
1.40
2.00
0.92
1.29
1.85
1.95
4.00
2.80
1.70
2.00
0.97
1.66
1.95
2.89
4.00
3.40
2.00
2.00
1.02
2.04
2.04
4.00
4.00
4.00
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
2.08
0.73
0.51
1.52
0.49
4.32
1.45
1.00
2.08
0.80
0.80
1.66
1.00
4.32
2.08
1.40
2.08
0.87
1.22
1.82
1.95
4.32
2.91
1.70
2.08
0.92
1.57
1.92
2.89
4.32
3.53
2.00
2.08
0.97
1.94
2.01
4.00
4.32
4.16
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
3.16
-0.01
-0.01
-0.03
0.49
9.98
2.21
1.00
3.16
0.06
0.06
0.19
1.00
9.98
3.16
1.40
3.16
0.14
0.19
0.43
1.95
9.98
4.42
1440 min
Suma
1.70
3.16
0.19
0.32
0.59
2.89
9.98
5.37
2.00
3.16
0.23
0.46
0.73
4.00
9.98
6.32
81.55
97.86
67.14
93.65
95.88
123.95
181.74
133.01
60.00
81.55
97.86
81.55
123.95
133.01
97.86
133.01
181.74
a0 *
a1
67.14 =
93.65
a2
95.88
a0
1.87
a1
=
a2
0.18 -0.62
K=
74.68
a=
0.18
b=
0.62
T= t=
10 años 60 min
120 10.72 12.54 14.94 16.76 18.58
1440 23.54 27.53 32.81 36.80 40.80
120
1440
5.36
0.98
6.27
1.15
7.47
1.37
8.38
1.53
9.29
1.70
00
1400
1600
TORMENTA DE DISEÑO METODO DEL BLOQUE ALTERNO
T. Diseño [años]
10 At=
k= 74.68
10 intervalos de 10min
n=
a= 0.18
�=𝑇/𝐴�
1
b= 0.62
Intervalos
Duracion [min]
Intensidad [mm/hr]
Profundidad [mm]
Profundidad Acumulada [mm]
Profundidad Incrimentada [mm]
Tiempo [min]
Precipitacion [mm]
Ap
1
10
27.62
4.60
4.60
4.60
0-10
0.48
0.031
2
20
18.03
6.01
10.62
1.41
10-20
0.56
0.117
3
30
14.05
7.03
17.64
1.02
20-30
0.70
0.260
4
40
11.77
7.85
25.49
0.82
30-40
1.02
0.571
5
50
10.26
8.55
34.04
0.70
40-50
4.60
4.160
6
60
9.17
9.17
43.22
0.62
50-60
1.41
0.964
7
70
8.34
9.74
52.96
0.56
60-70
0.82
0.379
8
80
7.69
10.25
63.20
0.51
70-80
0.62
0.178
9
90
7.15
10.72
73.93
0.48
80-90
0.51
0.070
10
100
6.70
11.17
85.10
0.44
90-100
0.44
0.000
85.10 4.500 4.000 3.500 3.000 2.500 2.000 1.500 1.000 0.500 0.000
1
2
3
4
5
6
7
8
9
10
i=(𝐾∗𝑇^�)/�^� i=(74,6∗𝑇^0,18)/�^0,62
Calculos de precipitacion neta Calculo del numero de curva N
Tipo de Suelo Cambisoles Leptosoles con Inclusion de Flubisoles y
1
Cn
Uso de Suelo
Area [km²]
Suelo Hidrologico
CN (II)
CN (I)
CN (III)
Agricola y Barbechos
0.049938
B
71
51.92
85.54
P Neta
Perdidas
71
S
103.75 Infiltracion Potencial
Ia
20.75 Perdidas Iniciales
Duracion [min]
Profundidad d [mm]
Profundidad Acumulada [mm]
10
0.48
0.48
0.00
0.48
20
0.56
1.04
4.62
-3.59
30
0.70
1.74
4.26
-2.52
40
1.02
2.76
3.78
-1.02
50
4.60
7.36
1.98
5.37
60
1.41
8.77
1.56
7.20
70
0.82
9.59
1.35
8.24
80
0.62
10.21
1.19
9.02
90
0.51
10.72
1.07
9.65
100
0.44
11.17
0.97
10.19
Profundidad Acumulada y Perdidas 14.00 12.00 10.00 8.00 6.00 4.00 2.00 0.00 -2.00 -4.00 -6.00
1
2
3
4
5
6
7
8
9
10
as
8
9
10
Hidrograma triangular Unitario Area[Km2] 0.04994 H[m] 599.11 Lcp [km] 6.13 Sc[m/m] 0.10 tc[hrs] 0.66 tc[min] 39.36 tr[hrs] 0.39 de 1.62 tp[hrs] 1.20 tb[hrs] 3.21 Pe[mm] 1.00 Qp[m3/seg]
t[h] Q[m3/seg]
0 0
1.20 0.01
3.21 0
0.01
Hidrograma sintetico t/tp
Q/Qp
t
Q
0
0
0.00
0
0.1
0.015
0.12
0.00
0.2
0.075
0.24
0.00
0.3
0.16
0.36
0.00
0.007
0.4
0.28
0.48
0.00
0.006
0.5
0.43
0.60
0.00
0.6
0.6
0.72
0.01
0.7
0.770
0.84
0.01
0.8
0.890
0.96
0.01
0.003
0.9
0.970
1.08
0.01
0.002
1
1.000
1.20
0.01
1.1
0.980
1.32
0.01
1.2
0.920
1.44
0.01
1.3
0.840
1.56
0.01
1.4
0.750
1.68
0.01
0.2
1.5
0.650
1.81
0.01
0.18
1.6
0.570
1.93
0.00
1.8
0.430
2.17
0.00
2
0.320
2.41
0.00
0.14
2.2
0.240
2.65
0.00
0.12
2.4
0.180
2.89
0.00
0.1
2.6
0.130
3.13
0.00
2.8
0.098
3.37
0.00
3
0.075
3.61
0.00
0.06
3.5
0.036
4.21
0.00
0.04
4
0.018
4.81
0.00
4.5
0.009
5.42
0.00
5
0.004
6.02
0.00
0.01 0.009 0.008
0.005 0.004
0.001 0
0
1
2
3
4
5
1.00
2.00
3.00
4.00
5.00
0.16
0.08
0.02 0 0.00
Avenida Maxima
Avenida Maxima Duracion[minPneta 10 20 30 40 50 60 70 80 90 100
Duracion [min]
0.00 4.62 4.26 3.78 1.98 1.56 1.35 1.19 1.07 0.97
10
20
30
40 Pneta
t
Q
0.00
4.62
4.26
3.78
0.00
0.00
0
0
0
0
0.12
0.00
0
0.00
0
0
0.24
0.00
0
0.00
0.00
0
0.36
0.00
0
0.01
0.01
0.01
0.48
0.00
0
0.01
0.01
0.01
0.60
0.00
0
0.02
0.02
0.01
0.72
0.01
0
0.02
0.02
0.02
0.84
0.01
0
0.03
0.03
0.03
0.96
0.01
0
0.04
0.03
0.03
1.08
0.01
0
0.04
0.04
0.03
1.20
0.01
0
0.04
0.04
0.03
1.32
0.01
0
0.04
0.04
0.03
1.44
0.01
0
0.04
0.03
0.03
1.56
0.01
0
0.03
0.03
0.03
1.68
0.01
0
0.03
0.03
0.02
1.81
0.01
0
0.03
0.02
0.02
1.93
0.00
0
0.02
0.02
0.02
2.17
0.00
0
0.02
0.02
0.01
2.41
0.00
0
0.01
0.01
0.01
2.65
0.00
0
0.01
0.01
0.01
2.89
0.00
0
0.01
0.01
0.01
3.13
0.00
0
0.01
0.00
0.00
3.37
0.00
0
0.00
0.00
0.00
3.61
0.00
0
0.00
0.00
0.00
4.21
0.00
0
0.00
0.00
0.00
4.81
0.00
0
0.00
0.00
0.00
5.42
0.00
0
0.00
0.00
0.00
6.02
0.00
0
0.00
0.00
0.00
Avenida Max [m3/seg]
3
4
5
6
7
3.00
4.00
5.00
6.00
7.00
Avenida Maxima 50
60
70
80
90
100
Pneta
Q [m3/s]
1.98
1.56
1.35
1.19
1.07
0.97
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00
0
0
0
0
0
0
0.01
0
0
0
0
0
0
0.02
0.00
0
0
0
0
0
0.04
0.01
0.01
0
0
0
0
0.06
0.01
0.01
0.01
0
0
0
0.09
0.01
0.01
0.01
0.01
0
0
0.12
0.02
0.01
0.01
0.01
0.01
0
0.15
0.02
0.01
0.01
0.01
0.01
0.01
0.17
0.02
0.01
0.01
0.01
0.01
0.01
0.18
0.02
0.01
0.01
0.01
0.01
0.01
0.18
0.02
0.01
0.01
0.01
0.01
0.01
0.17
0.01
0.01
0.01
0.01
0.01
0.01
0.15
0.01
0.01
0.01
0.01
0.01
0.01
0.13
0.01
0.01
0.01
0.01
0.01
0.01
0.12
0.01
0.01
0.01
0.01
0.01
0.00
0.10
0.01
0.01
0.00
0.00
0.00
0.00
0.08
0.01
0.00
0.00
0.00
0.00
0.00
0.06
0.00
0.00
0.00
0.00
0.00
0.00
0.04
0.00
0.00
0.00
0.00
0.00
0.00
0.03
0.00
0.00
0.00
0.00
0.00
0.00
0.02
0.00
0.00
0.00
0.00
0.00
0.00
0.02
0.00
0.00
0.00
0.00
0.00
0.00
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
Avenida Max [m3/seg]
0.18 Q [m3/s]
0.18
DURACION DE TORMENTA TIEMPO DE CONCENTRACION Los resultados de estas formulas difieren alarmantemente .Cada una de ellas fue obtenida . pensando en cuencas de características determinadas. Por tanto deben manejarse con cuidado pensando en cuencas de características determinadas. Por tanto deben manejarse con cuidado Teniendo los datos físicos de la cuenca a estudiar, procedemos a realizar el cálculo del tiempo de concentración Para este calculo usaremos los siguientes parametros los cuales los calculamos anteriormente
FORMULA DE KIRPICH
FORMULA DE CALIFOR
�_𝑐=3,98∗(𝐿_𝑐𝑝/ (𝑆_𝑝^0,5 ))^0,77
tc=0,01954∗((𝐿_𝑐𝑝^
Donde:
t_c= Tiempo de concentracion L_cp= Longitud del cauce principal S_p= Pendiente media Lcp= S=
10.410 0.076
Km
t_c=
65.082
min
Obs: Como se puede observar el tiempo de concentracion que mejor se asemeja son 2 la del méto Willians y la introduccion carreteras - España, no tomamos de este ultimo porque justamente los es determinar esta formula fueron realizados en España y no así en nuestro pais Bolivia, por tanto el concentración a considerar es:
t_c=
TIEMPO DE RETORNO T= 20 años q/Q= 15 % c= 60 % n= 0.013 L= 107.247 m Coefic. de retardo m= γ= 1000 kg/m3 Țmin= 1.5 Pa A= 0.134 Ha
0.02
59.106
min
Zo= Z1=
S=(𝑍𝑜−𝑍 1)/𝐿=
3796.246 m 3791.583 m
S= 0.0434790717 m
�𝑒=1,44∗ 〖 ((𝑚∗𝐿)/𝑆^( 1⁄2) ) 〗 ^0,467
te= 4.2765634997 min
��=𝐿/�
V=
1.766 m/s
tr= 1.0121460929 min
�=�𝑐=�𝑒+��
tc= 5.2887095926 min
I=103,37*(𝑇^0,2 09/�^0,693 )
I= 66.251530463 mm/hr
Caudal
Q=C*I*A
Q= 14.796175137 l/s Calculo del diametro (tub lleno)
Q=1/�*𝑆^(1⁄2)*� ^(2⁄3)*A
Q=1/�*𝑆^(1⁄2)*( 〖�� /4) 〗 ^(2⁄3)*(π∗ 〖� �〖 ^
R=𝐷𝑐/ 4
A=(π∗𝐷 ^2)/4
Dc= 0.11264518 m -8.636267E-08 Dc= 11.2645176 cm 2)/4 Asumir Diametro comercial 112.645176 mm Dc= 0.15 m Para flujo a tubo parcialmente lleno:
R=𝐷/4*(1senѲ/Ѳ)
A=𝐷^2/8*(ѲsenѲ)
Calculando el caudal con:
Q=1/�*𝑆^(1⁄2)*(𝐷/4∗(1−𝑠𝑒�Ѳ/Ѳ))^(2/3)*( �^2/8 "*(Ѳ-senѲ))"
V=1/�*𝑆^(1⁄2)*(𝐷/4∗(1−𝑠𝑒�Ѳ/ Ѳ))^(2/3)
Ѳ= 3.06083136 -4.566E-09 Ѳ= 175.372719
V= 1.76529598 m/s
na de ellas fue obtenida . manejarse con cuidado manejarse con cuidado
r el cálculo del tiempo de
culamos anteriormente
ORMULA DE CALIFORNIA
FORMULA BUREAU
tc=0,01954∗((𝐿_𝑐𝑝^3)/∆𝐻)^0,385
Donde:
tc=0,01949∗(𝐿^1,155/(∆𝐻^0,385 ))
Donde:
t_c= Tiempo de concentracion ∆H= Diferenia de cotas L_cp= Longitud del cauce principal ∆H= Lcp=
1020 10.410
t_c=
59.258
t_c= Tiempo de concentracion ∆H= Diferenia de cotas L_cp= Longitud del cauce principal
Km
∆H= Lcp=
1020 10.410
min
t_c=
59.106
asemeja son 2 la del método de Bransby o porque justamente los estudios para o pais Bolivia, por tanto el tiempo de
rad º
^1,155/(∆𝐻^0,385 ))
empo de concentracion iferenia de cotas ongitud del cauce principal
Km min
n= m= T= c= q/Q=
0.013 0.02 20 años 0.6 0.15
PRIMERA ITERACIÓN TRAMO
TUBO
123174285610 711 8913 10 14 11 12 13 14 -
TTTTTTTTTTTTTTTTTTTTTT-
2 3 6 4 4 5 5 5 6 9 7 8 8 9 12 10 11 11 12 15 14 15
PRIMERA ITERACIÓN
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.000 1.787 4.275 6.063 60.683 13.547 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.58 3785.75 3790.38 3784.55 0.0574 1.000 1.692 3.907 5.599 63.869 75.932 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.000 1.031 4.558 5.589 63.942 94.649 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 1.000 1.003 5.414 6.416 58.509 17.874 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.000 0.983 3.804 4.787 70.637 11.066 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 1.000 1.788 4.056 5.844 62.132 61.081 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.000 1.010 3.742 4.752 70.966 18.047 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.000 0.988 3.274 4.261 76.121 19.627 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 1.000 1.725 4.100 5.825 62.263 120.897 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.000 0.967 5.276 6.243 59.549 221.884 58.540 58.540 0.183 0.183 3797.06 3797.23 3797.06 3796.77 3795.86 3795.57 0.0050 1.000 0.976 5.353 6.328 59.031 18.034 106.858 165.398 0.313 0.496 3797.23 3792.56 3796.77 3792.56 3795.57 3791.36 0.0394 1.000 1.781 4.369 6.150 60.128 49.691 58.435 58.435 0.157 0.157 3792.57 3792.56 3792.57 3792.28 3791.37 3791.08 0.0050 1.000 0.974 5.346 6.320 59.082 15.443 104.057 327.890 0.268 0.921 3792.56 3785.42 3792.28 3785.42 3791.08 3784.22 0.0659 1.000 1.734 3.826 5.560 64.151 98.427 59.530 1165.830 0.182 3.339 3785.42 3785.50 3785.42 3785.12 3784.22 3783.92 0.0050 1.000 0.992 5.373 6.365 58.810 327.242 59.390 59.390 0.176 0.176 3798.00 3797.06 3798.00 3797.06 3796.80 3795.86 0.0158 1.000 0.990 4.109 5.099 67.830 19.840 107.432 166.822 0.262 0.438 3797.06 3792.57 3797.06 3792.57 3795.86 3791.37 0.0418 1.000 1.791 4.320 6.110 60.377 44.045 59.284 59.284 0.152 0.152 3792.90 3792.57 3792.90 3792.57 3791.70 3791.37 0.0056 1.000 0.988 5.240 6.228 59.642 15.121 105.359 331.465 0.262 0.852 3792.57 3785.50 3792.57 3785.50 3791.37 3784.30 0.0671 1.000 1.756 3.833 5.589 63.944 90.802 59.247 1556.542 0.175 4.365 3785.50 3785.00 3785.12 3784.82 3783.92 3783.62 0.0051 1.000 0.987 5.355 6.343 58.944 428.860 107.044 107.044 0.318 0.318 3798.00 3792.90 3798.00 3792.90 3796.80 3791.70 0.0476 1.000 1.784 4.182 5.967 61.308 32.519 105.585 212.629 0.310 0.628 3792.90 3785.00 3792.90 3784.82 3791.70 3783.62 0.0765 1.000 1.760 3.720 5.480 64.754 67.813
TRAMO
TUBO
123174285610 711 8913 10 14 11 12 13 14 -
TTTTTTTTTTTTTTTTTTTTTT-
2 3 6 4 4 5 5 5 6 9 7 8 8 9 12 10 11 11 12 15 14 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.727 1.035 4.275 5.310 66.079 14.752 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.59 3785.75 3790.39 3784.55 0.0575 2.850 0.594 3.906 4.500 73.506 87.390 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.630 0.632 4.558 5.190 67.056 99.258 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 0.814 1.233 5.414 6.646 57.200 17.475 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.265 0.777 3.804 4.581 72.665 11.384 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 2.709 0.660 4.056 4.716 71.319 70.113 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.485 0.680 3.742 4.422 74.327 18.902 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.861 0.531 3.274 3.805 81.879 21.112 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 3.028 0.570 4.100 4.670 71.773 139.364 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.542 0.627 5.276 5.903 61.732 230.017 58.540 58.540 0.183 0.183 3797.06 3797.23 3797.06 3796.77 3795.86 3795.57 0.0050 0.813 1.200 5.353 6.553 57.721 17.634 106.858 165.398 0.313 0.496 3797.23 3792.56 3796.77 3792.56 3795.57 3791.36 0.0394 2.282 0.780 4.369 5.149 67.401 55.701 58.435 58.435 0.157 0.157 3792.57 3792.56 3792.57 3792.28 3791.37 3791.08 0.0050 0.788 1.236 5.346 6.582 57.557 15.044 104.057 327.890 0.268 0.921 3792.56 3785.42 3792.28 3785.42 3791.08 3784.22 0.0659 3.305 0.525 3.826 4.351 75.112 115.244 59.530 1165.830 0.182 3.339 3785.42 3785.50 3785.42 3785.12 3784.22 3783.92 0.0050 1.655 0.599 5.373 5.973 61.267 340.918 59.390 59.390 0.176 0.176 3798.00 3797.06 3798.00 3797.06 3796.80 3795.86 0.0158 1.301 0.761 4.109 4.870 69.862 20.435 107.432 166.822 0.262 0.438 3797.06 3792.57 3797.06 3792.57 3795.86 3791.37 0.0418 2.278 0.786 4.320 5.106 67.767 49.436 59.284 59.284 0.152 0.152 3792.90 3792.57 3792.90 3792.57 3791.70 3791.37 0.0056 0.820 1.205 5.240 6.445 58.341 14.791 105.359 331.465 0.262 0.852 3792.57 3785.50 3792.57 3785.50 3791.37 3784.30 0.0671 3.266 0.538 3.833 4.370 74.899 106.358 59.247 1556.542 0.175 4.365 3785.50 3785.00 3785.12 3784.82 3783.92 3783.62 0.0051 1.761 0.561 5.355 5.916 61.645 448.509 107.044 107.044 0.318 0.318 3798.00 3792.90 3798.00 3792.90 3796.80 3791.70 0.0476 2.144 0.832 4.182 5.015 68.558 36.364 105.585 212.629 0.310 0.628 3792.90 3785.00 3792.90 3784.82 3791.70 3783.62 0.0765 3.167 0.556 3.720 4.276 75.954 79.543
PRIMERA ITERACIÓN TRAMO 1231742856-
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 1 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.765 1.013 4.275 5.288 66.259 14.792 2 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.59 3785.75 3790.39 3784.55 0.0575 3.051 0.555 3.906 4.460 73.920 87.882 3 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.635 0.630 4.558 5.188 67.072 99.282 4 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 0.810 1.238 5.414 6.652 57.170 17.465 5 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.274 0.771 3.804 4.575 72.721 11.393 6 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 2.766 0.646 4.056 4.702 71.453 70.245 7 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.498 0.674 3.742 4.417 74.391 18.918 8 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.891 0.522 3.274 3.796 81.997 21.142 9 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 3.212 0.537 4.100 4.637 72.098 139.994 10 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.552 0.623 5.276 5.899 61.757 230.111
TUBO 2 3 6 4 4 5 5 5 6 9
TTTTTTTTTT-
10 711 8913 10 14 11 12 13 14 -
7 8 8 9 12 10 11 11 12 15 14 15
TTTTTTTTTTTT-
11 12 13 14 15 16 17 18 19 20 21 22
58.540 58.540 106.858 165.398 58.435 58.435 104.057 327.890 59.530 1165.830 59.390 59.390 107.432 166.822 59.284 59.284 105.359 331.465 59.247 1556.542 107.044 107.044 105.585 212.629
0.183 0.313 0.157 0.268 0.182 0.176 0.262 0.152 0.262 0.175 0.318 0.310
0.183 0.496 0.157 0.921 3.339 0.176 0.438 0.152 0.852 4.365 0.318 0.628
3797.06 3797.23 3792.57 3792.56 3785.42 3798.00 3797.06 3792.90 3792.57 3785.50 3798.00 3792.90
3797.23 3792.56 3792.56 3785.42 3785.50 3797.06 3792.57 3792.57 3785.50 3785.00 3792.90 3785.00
3797.06 3796.77 3792.57 3792.28 3785.42 3798.00 3797.06 3792.90 3792.57 3785.12 3798.00 3792.90
3796.77 3792.56 3792.28 3785.42 3785.12 3797.06 3792.57 3792.57 3785.50 3784.82 3792.90 3784.82
3795.86 3795.57 3791.37 3791.08 3784.22 3796.80 3795.86 3791.70 3791.37 3783.92 3796.80 3791.70
3795.57 3791.36 3791.08 3784.22 3783.92 3795.86 3791.37 3791.37 3784.30 3783.62 3791.70 3783.62
0.0050 0.0394 0.0050 0.0659 0.0050 0.0158 0.0418 0.0056 0.0671 0.0051 0.0476 0.0765
0.809 2.328 0.783 3.418 1.658 1.310 2.334 0.816 3.386 1.822 2.288 3.257
1.206 0.765 1.243 0.507 0.598 0.755 0.767 1.212 0.519 0.542 0.780 0.540
5.353 4.369 5.346 3.826 5.373 4.109 4.320 5.240 3.833 5.355 4.182 3.720
6.558 5.134 6.589 4.334 5.972 4.864 5.087 6.451 4.351 5.897 4.962 4.261
57.692 67.532 57.517 75.304 61.275 69.914 67.931 58.305 75.108 61.771 69.022 76.129
17.625 55.810 15.034 115.539 340.963 20.450 49.556 14.782 106.655 449.424 36.610 79.726
PRIMERA ITERACIÓN TRAMO
TUBO
123174285610 711 8913 10 14 11 12 13 14 -
TTTTTTTTTTTTTTTTTTTTTT-
2 3 6 4 4 5 5 5 6 9 7 8 8 9 12 10 11 11 12 15 14 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.766 1.012 4.275 5.287 66.264 14.794 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.59 3785.75 3790.39 3784.55 0.0575 3.055 0.554 3.906 4.460 73.928 87.891 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.635 0.630 4.558 5.188 67.072 99.282 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 0.810 1.238 5.414 6.652 57.169 17.465 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.275 0.771 3.804 4.575 72.722 11.393 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 2.767 0.646 4.056 4.702 71.455 70.246 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.499 0.674 3.742 4.416 74.393 18.918 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.892 0.522 3.274 3.796 82.000 21.143 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 3.216 0.536 4.100 4.636 72.103 140.005 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.552 0.623 5.276 5.899 61.758 230.112 58.540 58.540 0.183 0.183 3797.06 3797.23 3797.06 3796.77 3795.86 3795.57 0.0050 0.809 1.206 5.353 6.558 57.691 17.625 106.858 165.398 0.313 0.496 3797.23 3792.56 3796.77 3792.56 3795.57 3791.36 0.0394 2.329 0.765 4.369 5.133 67.534 55.811 58.435 58.435 0.157 0.157 3792.57 3792.56 3792.57 3792.28 3791.37 3791.08 0.0050 0.783 1.244 5.346 6.590 57.515 15.033 104.057 327.890 0.268 0.921 3792.56 3785.42 3792.28 3785.42 3791.08 3784.22 0.0659 3.420 0.507 3.826 4.333 75.307 115.544 59.530 1165.830 0.182 3.339 3785.42 3785.50 3785.42 3785.12 3784.22 3783.92 0.0050 1.658 0.598 5.373 5.972 61.275 340.963 59.390 59.390 0.176 0.176 3798.00 3797.06 3798.00 3797.06 3796.80 3795.86 0.0158 1.311 0.755 4.109 4.864 69.916 20.450 107.432 166.822 0.262 0.438 3797.06 3792.57 3797.06 3792.57 3795.86 3791.37 0.0418 2.335 0.767 4.320 5.086 67.934 49.558 59.284 59.284 0.152 0.152 3792.90 3792.57 3792.90 3792.57 3791.70 3791.37 0.0056 0.815 1.212 5.240 6.451 58.304 14.782 105.359 331.465 0.262 0.852 3792.57 3785.50 3792.57 3785.50 3791.37 3784.30 0.0671 3.388 0.518 3.833 4.351 75.111 106.660 59.247 1556.542 0.175 4.365 3785.50 3785.00 3785.12 3784.82 3783.92 3783.62 0.0051 1.823 0.542 5.355 5.897 61.772 449.433 107.044 107.044 0.318 0.318 3798.00 3792.90 3798.00 3792.90 3796.80 3791.70 0.0476 2.292 0.779 4.182 4.961 69.033 36.616 105.585 212.629 0.310 0.628 3792.90 3785.00 3792.90 3784.82 3791.70 3783.62 0.0765 3.258 0.540 3.720 4.261 76.131 79.728
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 108.9 150 169.892 1.727 197.4 200 251.034 2.850 292.3 300 244.147 1.630 181.5 200 217.157 0.814 115.1 150 179.084 1.265 183.7 200 220.892 2.709 135.0 150 214.821 1.485 126.2 150 197.577 1.861 242.6 250 242.135 3.028 463.5 500 223.979 1.542 182.3 200 218.545 0.813 180.7 200 215.913 2.282 172.0 200 202.599 0.788 212.0 250 199.380 3.305 538.8 550 246.906 1.655 152.0 200 177.403 1.301 170.8 200 201.040 2.278 167.0 200 195.788 0.820 205.0 250 191.977 3.266 595.8 600 254.725 1.761 148.8 150 253.927 2.144 179.3 200 213.619 3.167
cal ang -4.8E-07 -4.021751E-07 2.96517 -2.6E-05 -0.0145458953 4.381366 -2.1E-08 4.369117E-07 4.261165 -5.1E-07 0.000000178 3.790109 -4.6E-07 9.0034324E-07 3.125611 -5.3E-07 5.3749667E-07 3.855293 -8.2E-07 1.1475825E-07 3.749337 -5.4E-07 -2.629018E-07 3.44837 3.76E-07 1.5333762E-07 4.226058 2.33E-07 6.3873128E-07 3.909178 -5.8E-07 0.000000128 3.814324 -6E-07 6.4873968E-08 3.768386 -5.3E-07 -2.962434E-08 3.536019 -8.4E-07 -8.977575E-07 3.479846 -4.9E-07 2.3724576E-07 4.309316 -5.1E-08 3.6499493E-08 3.096267 -4.1E-07 -2.134058E-07 3.508803 -4.9E-07 -2.537935E-07 3.417145 -9.1E-07 4.1725332E-08 3.350627 4.4E-07 3.0617592E-07 4.445795 -9.4E-08 2.4233019E-07 4.431865 -3E-07 0.000000587 3.728359
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 112.5 150 175.135 1.765 208.1 250 195.132 3.051 297.6 300 254.054 1.635 180.0 200 214.644 0.810 116.3 150 180.995 1.274 193.4 200 240.535 2.766 137.4 150 220.088 1.498 129.7 150 204.052 1.891 255.9 300 200.700 3.212 469.8 500 228.733 1.552 180.8 200 215.998 0.809 188.6 200 230.140 2.328 170.3 200 200.257 0.783 225.0 250 214.677 3.418 547.2 550 255.923 1.658 153.7 200 179.356 1.310 178.4 200 212.174 2.334 165.6 200 193.983 0.816 217.6 250 205.622 3.386 605.9 650 225.882 1.822 155.1 200 181.072 2.288 190.4 200 233.691 3.257
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 112.6 150 175.308 1.766 208.5 250 195.591 3.055 297.6 300 254.112 1.635 179.9 200 214.587 0.810 116.3 150 181.048 1.275 193.6 200 240.861 2.767 137.5 150 220.192 1.499 129.8 150 204.187 1.892 256.3 300 201.101 3.216 469.9 500 228.789 1.552
cal 9E-07 2.92E-06 -1.1E-07 -2.2E-07 1.63E-07 -1.5E-07 6.35E-07 -5.7E-08 -5E-07 -1.2E-07 -2.2E-07 -1.7E-07 -2.4E-07 1.05E-07 -2.6E-07 3.29E-07 -1.4E-07 -1.8E-07 -9.5E-07 -4.2E-07 -1.2E-07 -7.5E-07
ang 4.1701164E-08 3.056679 0.001797174 3.405689 2.1351395E-07 4.434085 -2.737372E-08 3.746247 -2.050404E-08 3.158966 4.3074655E-07 4.198134 5.3656996E-07 3.841266 2.587535E-08 3.56138 -2.101549E-07 3.502879 7.014403E-07 3.992137 -0.000000036 3.769879 7.6473152E-07 4.016701 8.7936356E-08 3.495141 8.1594688E-07 3.746828 8.0417559E-07 4.466703 -6.720742E-08 3.130347 8.2751517E-07 3.703136 -9.451709E-07 3.385638 8.1344747E-07 3.58878 3.6154502E-07 3.942379 4.1620817E-08 3.160295 4.3282797E-07 4.078685
cal ang 9.07E-07 4.4198124E-08 3.059703 -4.2E-07 -1.513063E-08 3.413709 -1.1E-07 0.000000218 4.435084 -2.3E-07 -2.964663E-08 3.74525 1.71E-07 -2.190869E-08 3.159883 -1.9E-07 4.4160478E-07 4.203823 6.53E-07 5.7180204E-07 3.843069 -5.9E-08 2.7547054E-08 3.563734 -7E-07 -0.000000202 3.509878 -1.3E-07 0.000000739 3.993119
180.7 188.8 170.2 225.2 547.2 153.7 178.6 165.6 217.8 606.4 155.5 190.5
200 200 200 250 550 200 200 200 250 650 200 200
215.942 230.416 200.195 214.957 255.956 179.406 212.427 193.933 205.887 226.149 181.534 234.040
0.809 2.329 0.783 3.420 1.658 1.311 2.335 0.815 3.388 1.823 2.292 3.258
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 112.6 150 175.314 1.766 208.5 250 195.600 3.055 297.6 300 254.112 1.635 179.9 200 214.586 0.810 116.3 150 181.049 1.275 193.6 200 240.865 2.767 137.5 150 220.194 1.499 129.8 150 204.190 1.892 256.3 300 201.108 3.216 469.9 500 228.789 1.552 180.7 200 215.941 0.809 188.8 200 230.420 2.329 170.2 200 200.193 0.783 225.2 250 214.961 3.420 547.2 600 218.698 1.706 153.7 200 179.407 1.311 178.6 200 212.432 2.335 165.6 200 193.932 0.815 217.8 250 205.892 3.388 606.4 650 226.152 1.823 155.5 200 181.546 2.292 190.5 200 234.044 3.258
-2.2E-07 -1.5E-07 -2.5E-07 1.18E-07 -2.6E-07 3.44E-07 -1.2E-07 -1.9E-07 1.12E-07 -4.8E-07 -8.7E-08 -8.1E-07
-3.894156E-08 3.768898 8.8910895E-07 4.021511 9.3649955E-08 3.49406 0.000000896 3.75171 8.1934162E-07 4.467267 -7.153445E-08 3.131217 5.1662025E-08 3.707559 -0.00000098 3.384768 9.1655327E-07 3.593414 2.4954804E-07 3.947049 3.8105026E-08 3.168365 3.7118424E-07 4.084766
cal ang 9.07E-07 4.4273639E-08 3.059798 -4.2E-07 -1.508834E-08 3.413857 -1.1E-07 2.2639734E-07 4.435086 -2.3E-07 -2.970171E-08 3.745226 1.71E-07 -2.194722E-08 3.159908 -1.9E-07 4.4165863E-07 4.203879 6.54E-07 5.724496E-07 3.843102 -5.9E-08 2.7579355E-08 3.563779 -7.1E-07 -2.018785E-07 3.509995 -1.3E-07 7.3943774E-07 3.99313 -2.2E-07 -0.000000039 3.768875 -1.5E-07 0.000000891 4.021583 -2.5E-07 9.3807513E-08 3.494031 1.18E-07 8.9723026E-07 3.751782 -2.6E-07 1.0626739E-07 3.817001 3.44E-07 -7.164448E-08 3.131239 -1.2E-07 5.1946481E-08 3.707646 -1.9E-07 -0.000000981 3.384744 1.12E-07 9.1829532E-07 3.59349 -4.8E-07 2.4858592E-07 3.947095 -8.6E-08 0.000000038 3.168569 -8.1E-07 3.7027957E-07 4.084836
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación total (mm) AÑO
ENE
FEB
MAR
ABR
MAY
JUN
JUL
AGO
SEP
OCT
NOV
DIC
1986
62.4
68.7
0
9.2
0.3
0.4
0
0
4.6
28
48
147.2
1987
149.9
36.6
69.6
10.4
0
11.5
3
0
3.7
60.1
40.5
31
1988
0
0
0
38.2
18
24
95.2
78.3
53.2
174.2
44
1.6
1989
56.5
59.5
36
90.7
0
1.2
0
0
1.5
10
17.7
54.5
1990
121.3
81.5
30
19.3
1
11.8
0
5.2
0
29.6
66.1
103.9
1991
128
89.7
65.8
17.8
0
0
0
0.5
2.5
34.3
46
34.9
1992
98.3
84.2
32.6
2.5
0
6.8
2.5
3.9
0
40.4
46.4
55.3
1993
128.3
37.6
65.5
4.9
0
0
0
15.8
14.1
23.5
35.8
82.4
1994
101.6
30.8
35.4
7.2
1.2
0
0
0
2.3
4.5
40.1
75.9
1995
107.8
44.2
80.9
0.1
2
****
****
****
****
****
****
81.8
1996
73.2
73.9
40.9
19
2
0
0
26.7
2.6
32.7
57.8
90.4
1997
137.7
119.7
76.6
70.8
0
0
0
5
44.9
13.5
27.5
28.3
1998
53.6
91.2
51.3
11.2
0
1.4
0
6.8
0
65.6
51.8
49
1999
59.1
66.2
117.1
15.5
0
0
0.5
0
31.5
37.1
4.2
47.1
2000
117.8
39.4
65
8.5
0
0
0
0.4
1.8
22.5
3.8
120.5
2001
172.3
132
106.2
28.2
0
0.2
0
8.4
12.4
31.4
11
74.9
2002
91.3
92.6
55.7
17.4
10
9
2.3
0.2
3
44.2
54.2
13.6
2003
83.9
79.6
40.8
11.8
6.4
0
11.4
11.2
6.3
10
7.7
124.4
2004
84.3
102.4
32.1
18.4
0
0.1
10.5
1.8
0.8
5.2
6.1
54.2
2005
104.6
85.2
35.5
31
0
0
0
0
27.2
49.8
60.1
43.6
2006
120.7
54.4
57
18.8
2.3
0
0
0
4.1
45.2
35.8
41.3
2007
115
62.7
79
11.8
0
0
2.1
0
18.4
20.9
44.5
75.6
2008
108.6
48.5
50.7
2
0
0
0
2.3
2.1
21
10.4
92.3
2009
138.7
110.9
102.5
25.8
4.7
0
0
0
6.4
3.2
80.2
99.3
2010
112.9
52.7
66.4
26
4
0
0.5
6.5
0.8
36.7
20.8
63.8
2011
74.4
197.9
149.6
3.5
14
0
1.6
0
0
8
44.2
91.8
2012
115.7
108
96
23.8
0
0
0
0
9.8
16.1
66.8
100.2
2013
143.3
173.7
20.6
0.2
7.9
1
1
11
1.4
18.4
27.8
87.4
2014
101.9
127.2
8.6
7.5
9.5
0
0
0.5
5.1
96.3
28.8
17.7
2015
113.8
88.1
45.6
42.1
0
0
0
8.7
5
40.9
34.4
23.1
2016
47.3
101
18.8
20.8
0
0
0
0
11.9
15.4
4.7
45.6
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación media (mm) ANUAL
AÑO
ENE
FEB
MAR
ABR
MAY
JUN
JUL
AGO
SEP
OCT
368.8
1986
2.8
4.3
0
1.8
0.3
0.4
0
0
2.3
7
416.3
1987
7.1
4.6
5.8
5.2
0
5.8
1.5
0
3.7
8.6
526.7
1988
4.4
3.8
7.9
3.7
1.6
0
0
0
6.4
4.5
327.6
1989
4.4
4.6
3.6
8.2
0
1.2
0
0
1.5
3.3
469.7
1990
5.8
4.8
3.8
2.8
1
3.9
0
1.7
0
2.1
419.5
1991
8
6
3.3
3
0
0
0
0.5
2.5
4.9
372.9
1992
3.8
3.7
3.3
2.5
0
6.8
1.2
1
0
4.5
407.9
1993
5.1
2.9
3.4
1.6
0
0
0
5.3
7
3.4
299
1994
5.6
2.4
3.5
1.8
1.2
0
0
0
1.2
1.1
****
1995
4.9
3.2
5.8
0.1
2
****
****
****
****
****
419.2
1996
4.3
5.3
3.1
2.7
1
0
0
6.7
1.3
4.7
524
1997
5.3
5.4
3.3
5.9
0
0
0
1.7
4.5
1.9
381.9
1998
3.1
5.1
3.2
5.6
0
1.4
0
3.4
0
7.3
378.3
1999
2.6
3.5
4.5
1.6
0
0
0.2
0
5.2
3.7
379.7
2000
4.5
2.6
3.6
2.1
0
0
0
0.4
1.8
2.2
577
2001
6.2
7
4.8
2.8
0
0.2
0
2.1
3.1
4.5
393.5
2002
4.6
4.9
2.9
2.5
5
4.5
0.8
0.1
1.5
3.4
393.5
2003
4.2
3.8
2.6
2
1.3
0
11.4
3.7
2.1
1.7
315.9
2004
4.2
6
2
3.1
0
0.1
2.1
0.9
0.4
1.7
437
2005
7.5
4.3
4.4
3.1
0
0
0
0
13.6
7.1
379.6
2006
5.2
4.2
5.2
2.7
2.3
0
0
0
1.4
9
430
2007
5.2
4.8
3.8
1.7
0
0
2.1
0
1.5
3
337.9
2008
4.5
3.2
3.2
1.0
0.0
0.0
0.0
1.2
2.1
1.9
571.7
2009
5.3
5.8
4.5
5.2
2.4
0.0
0.0
0.0
3.2
1.6
391.1
2010
5.6
3.1
5.5
3.2
1.0
0.0
0.5
6.5
0.8
9.2
585
2011
6.8
9.4
8.3
1.2
4.7
0.0
1.6
0.0
0.0
1.6
536.4
2012
5.5
4.9
5.6
2.4
0.0
0.0
0.0
0.0
2.4
8.0
493.7
2013
6.5
8.3
2.9
0.2
2.6
0.5
1.0
11.0
0.7
3.1
403.1
2014
4.1
6.1
1.0
1.1
4.8
0.0
0.0
0.5
1.7
12.0
401.7
2015
4.4
6.3
2.5
3.2
0.0
0.0
0.0
4.4
1.7
5.8
265.5
2016
2.6
5.6
2.7
3.0
0.0
0.0
0.0
0.0
2.4
1.2
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación máxima en 24 hrs (mm) NOV
DIC
ANUAL
AÑO
ENE
FEB
MAR
ABR
MAY
JUN
JUL
AGO
5.3
6.7
30.9
1986
18.1
16
0
3.4
0.3
0.4
0
0
2.9
3.9
49.1
1987
16.5
10
14
7.4
0
9.5
2
0
8
6.8
47.1
1988
18.8
11.5
24
14
1.6
0
0
0
5.9
4.2
36.9
1989
14
13
13
31.2
0
1.2
0
0
5.5
8.7
40.1
1990
25.2
18.2
16.2
7
1
5.6
0
2.2
4.6
5.8
38.6
1991
25
21
13
14
0
0
0
0.5
5.2
4.6
36.6
1992
15.6
12.5
15
2.5
0
6.8
1.4
2
4.5
4.1
37.3
1993
17.5
8.4
10
4.2
0
0
0
10.2
2.9
6.3
26
1994
21.1
4.9
19.2
3.3
1.2
0
0
0
****
5.1
****
1995
17.2
11.6
11.8
0.1
2
****
****
****
3.8
3.8
36.7
1996
15.1
24
7.2
10.8
1.6
0
0
20.4
2.5
1.8
32.3
1997
20.4
15.4
15.3
20.8
0
0
0
4.2
5.2
3.3
37.6
1998
15.2
21.8
14.2
8.4
0
1.4
0
5.8
0.8
3.6
25.7
1999
12.4
14
24.6
4.5
0
0
0.4
0
1
7.1
25.3
2000
16.6
10
10
6.4
0
0
0
0.4
1.6
3.7
36
2001
20
28.4
24.7
9.9
0
0.2
0
6.9
4.5
1.7
36.4
2002
19.7
28.7
11.1
6.2
5.6
8.4
2.1
0.1
1.5
7.3
41.6
2003
12.3
16.8
11.4
3.9
2
0
11.4
9.6
2
3.9
26.4
2004
22.1
20.8
4.4
6.2
0
0.1
3.8
1
5.5
2.6
48.1
2005
32.1
13.8
18.2
21.1
0
0
0
0
4
2.8
36.8
2006
30.2
12.5
16.8
7.5
2.3
0
0
0
4
4
30.1
2007
34.8
21.5
15.1
4.7
0
0
2.1
0
1.0
4.0
22.1
2008
19.7
11
13
1.8
0
0
0
2.1
5.4
5.5
38.9
2009
25
15.8
23
8.9
4
0
0
0
3.0
4.0
42.4
2010
20.2
15.8
19.4
12.4
1.8
0
0.5
6.5
4.0
6.1
43.7
2011
19.8
46.3
45.7
1.8
8.4
0
1.6
0
4.8
5.9
39.5
2012
28.8
14.3
16.3
5.7
0
0
0
0
3.5
5.5
45.8
2013
17.7
40.8
6.5
0.2
5.8
0.6
1
11
3.6
2.0
36.9
2014
14
18.2
2.2
2.1
6.3
0
0
0.5
5.7
3.3
37.3
2015
26.5
17
14.3
14
0
0
0
8.1
0.5
2.8
20.8
2016
13.1
18.0
7.2
12.0
0.0
0.0
0.0
0.0
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Los pinos xima en 24 hrs (mm)
Estación Potosí - Los pi Datos de : Temperatura medi
SEP
OCT
NOV
DIC
ANUAL
AÑO
ENE
FEB
MAR
ABR
MAY
JUN
4.4
10
13
19.5
19.5
1986
11.2
11.1
10.6
10.1
6.7
6.1
3.7
20
7.2
16.8
20
1987
11.0
10.1
9.9
9.8
7.9
6.0
15
7
11
17.5
24
1988
12.0
11.1
11.3
10.1
8.3
6.6
11.0
10.6
10.3
9.5
8.1
6.5
1.5
4
11.2
13.5
31.2
1989
0
5.8
19.2
35.4
35.4
1990
11.0
10.4
10.4
10.1
8.2
6.4
2.5
10
25
14.7
25
1991
12.2
11.8
11.2
10.5
8.4
7.2
0
20
10.4
15
20
1992
10.4
7.6
9.4
8.6
8.8
6.2
9.8
9.3
9.8
9.9
7.4
6.5
10.8
8.6
16.5
8.7
17.5
1993
1.3
1.6
7.2
16.1
21.1
1994
10.6
11.1
10.3
10.3
8.0
6.0
****
****
****
15.9
****
1995
10.9
10.8
10.5
9.9
8.5
****
1.4
17.3
13.1
13.2
24
1996
11.3
11.2
10.7
10.4
8.5
6.9
17.1
8.2
6.2
8
20.8
1997
11.0
10.3
8.6
8.0
6.5
5.7
0
15
23.4
16.2
23.4
1998
13.3
12.9
12.8
11.0
8.1
6.7
15
10.8
2.2
12
24.6
1999
10.6
10.9
10.7
9.6
7.5
5.6
1.8
6.6
2.4
22.4
22.4
2000
10.6
10.0
10.7
10.1
8.8
5.4
9.6
10.0
10.1
9.5
7.5
6.3
8.4
11.9
5.2
20.5
28.4
2001
1.8
12.1
17.1
5.4
28.7
2002
11.2
10.7
10.7
10.5
8.5
7.0
5.5
8.2
3.8
26.4
26.4
2003
11.0
11.0
10.4
9.7
7.8
6.5
0.7
3.6
3.6
8.4
22.1
2004
10.4
10
10.6
10.4
5.9
5.3
10.9
10.3
11.3
10
7.5
5.9
21.7
21.4
20.8
6.7
32.1
2005
2.7
27.2
8.6
14.2
30.2
2006
10.4
10.5
10.8
10
7
6
10.2
8.7
21.5
21.5
34.8
2007
11.5
11.1
10.6
10.1
7.5
7.7
2.1
5.1
2.1
13.3
19.7
2008
10.2
9.9
9.6
8.9
6.4
6
5.2
2.8
15.8
18.8
25
2009
10
10.3
9.7
8.8
7.7
5.5
0.8
15.6
8.8
12.9
20.2
2010
11.5
12.3
11.3
10.5
7.7
8.2
0
6.4
11
29
46.3
2011
11.3
9.9
10.1
10
7.8
7.4
8.6
9.2
16.7
21.2
28.8
2012
10.2
10
9.7
9.9
6.9
6.4
10.7
10.6
12.4
9.9
9.3
6.2
1
9.1
13.2
13.7
40.8
2013
4.5
25.6
9
5.4
25.6
2014
11
11.2
11.4
10.8
7.9
7.3
2.6
23.6
12
7
26.5
2015
10.6
11.4
11.1
10.6
8
7.9
3.5
5.6
1.7
10.6
18.0
2016
12.4
11.3
13.1
11.9
8.7
6.7
ud Sud: 19° 35' 00" itud Oeste: 65° 45' 00" a m/s/n/m: 3950
ción Potosí - Los pinos e : Temperatura media (ºC) JUL
AGO
SEP
OCT
NOV
DIC
ANUAL
4.2
6.7
6.8
9.0
10.9
10.4
8.6
6.8
8.2
9.4
11.0
11.8
12.3
9.5
7.1
9.4
9.6
10.0
10.4
11.2
9.8
6.0
6.7
8.5
10.6
10.6
12.1
9.2
5.0
7.6
8.0
11.3
12.4
12.4
9.4
6.6
8.2
8.0
9.6
10.2
11.1
9.6
5.4
5.6
6.8
10.2
9.8
11.2
8.3
5.6
6.5
8.1
10.7
11.7
11.7
8.9
6.8
8.6
9.6
10.7
11.5
11.4
9.6
****
****
****
****
****
10.2
****
6.0
7.7
8.3
10.9
10.8
11.4
9.5
7.1
7.5
10.2
10.8
12.3
13.2
9.3
7.3
7.5
8.9
9.5
10.9
11.6
10.0
5.7
7.2
8.4
9.9
10.4
11.9
9.0
4.2
6.9
8.6
10.2
11.1
11.0
9.0
5.8
7.4
9.1
10.1
11.2
10.2
8.9
4.7
6.8
8.6
10.7
11.4
11.9
9.4
6.1
6.1
7.5
9.6
10.4
12.0
9.0
5.7
7.2
9.5
9.8
11.3
11.2
8.9
6.4
7.1
7.2
9.2
10.8
11.1
9
6
7.3
7.6
10.6
11.6
11.6
9.1
5.4
8.3
8.8
10.1
10
10.3
9.3
5.9
6.9
8.5
10
11.5
10.6
8.7
5.7
6.3
9.2
10.9
12.4
11.8
9
6.6
8.6
8.9
10
10
11.7
9.8
6.3
7.8
8.5
9.6
10.8
10.6
9.2
6.5
8
9.9
10.9
11.6
11.6
9.3
7.4
7.6
8.4
10.2
11.9
11.7
9.7
5.7
6.9
9.3
10.4
11.7
12.2
9.6
6.5
8
9.9
11.7
13
13.1
10.2
8.0
8.0
9.6
11.8
12.6
12.2
10.5
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación total (mm) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC suma Promedio
1986 P 62.40 68.70 0.00 9.20 0.30 0.40 0.00 0.00 4.60 28.00 48.00 147.20 368.80 30.73
1987 % 203.04 223.54 0.00 29.93 0.98 1.30 0.00 0.00 14.97 91.11 156.18 478.96 1200.00 100.00
P 149.90 36.60 69.60 10.40 0.00 11.50 3.00 0.00 3.70 60.10 40.50 31.00 416.30 34.69
1988 % 432.09 105.50 200.62 29.98 0.00 33.15 8.65 0.00 10.67 173.24 116.74 89.36 1200.00 100.00
P
% 178.39 121.21 396.89 100.25 3.65 0.00 0.00 0.00 87.03 41.01 54.68 216.90 1200.00 100.00
78.30 53.20 174.20 44.00 1.60 0.00 0.00 0.00 38.20 18.00 24.00 95.20 526.70 43.89
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
1989 P 56.50 59.50 36.00 90.70 0.00 1.20 0.00 0.00 1.50 10.00 17.70 54.50 327.60 27.30
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación media (mm) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC
1986 P 2.8 4.3 0 1.8 0.3 0.4 0 0 2.3 7 5.3 6.7
1987 % 108.74 166.99 0.00 69.90 11.65 15.53 0.00 0.00 89.32 271.84 205.83 260.19
P 7.1 4.6 5.8 5.2 0 5.8 1.5 0 3.7 8.6 2.9 3.9
1988 % 173.52 112.42 141.75 127.09 0.00 141.75 36.66 0.00 90.43 210.18 70.88 95.32
P 4.4 3.8 7.9 3.7 1.6 0 0 0 6.4 4.5 8 6.8
1989 % 112.10 96.82 201.27 94.27 40.76 0.00 0.00 0.00 163.06 114.65 203.82 173.25
P 4.4 4.6 3.6 8.2 0 1.2 0 0 1.5 3.3 5.9 4.2
suma Promedio
30.90 2.58
1200.00 100.00
49.10 4.09
1200.00 100.00
47.10 3.93
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
1200.00 100.00
36.90 3.08
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación máxima en 24 hrs (mm) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC suma Promedio
1986 P 18.1 16 0 3.4 0.3 0.4 0 0 4.4 10 13 19.5 85.10 7.09
1987 % 255.23 225.62 0.00 47.94 4.23 5.64 0.00 0.00 62.04 141.01 183.31 274.97 1200.00 100.00
P 16.5 10 14 7.4 0 9.5 2 0 3.7 20 7.2 16.8 107.10 8.93
1988 % 184.87 112.04 156.86 82.91 0.00 106.44 22.41 0.00 41.46 224.09 80.67 188.24 1200.00 100.00
P
% 187.38 114.62 239.20 139.53 15.95 0.00 0.00 0.00 149.50 69.77 109.63 174.42 1200.00 100.00
18.8 11.5 24 14 1.6 0 0 0 15 7 11 17.5 120.40 10.03
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
1989 P 14 13 13 31.2 0 1.2 0 0 1.5 4 11.2 13.5 102.60 8.55
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Temperatura media (ºC) AÑO Mes ENE FEB MAR ABR MAY JUN JUL AGO
1986 P 11.2 11.1 10.6 10.1 6.7 6.1 4.2 6.7
1987 % 129.48 128.32 122.54 116.76 77.46 70.52 48.55 77.46
P 11 10.1 9.9 9.8 7.9 6 6.8 8.2
1988 % 115.59 106.13 104.03 102.98 83.01 63.05 71.45 86.16
P 12 11.1 11.3 10.1 8.3 6.6 7.1 9.4
1989 % 122.97 113.75 115.80 103.50 85.06 67.63 72.76 96.33
P 11 10.6 10.3 9.5 8.1 6.5 6 6.7
SEP OCT NOV DIC suma Promedio
6.8 9 10.9 10.4 103.80 8.65
78.61 104.05 126.01 120.23 1200.00 100.00
9.4 11 11.8 12.3 114.20 9.52
98.77 115.59 123.99 129.25 1200.00 100.00
9.6 10 10.4 11.2 117.10 9.76
98.38 102.48 106.58 114.77 1200.00 100.00
8.5 10.6 10.6 12.1 110.50 9.21
e: 65° 45' 00"
1989
1990 % 206.96 217.95 131.87 332.23 0.00 4.40 0.00 0.00 5.49 36.63 64.84 199.63 1200.00 100.00
P 121.30 81.50 30.00 19.30 1.00 11.80 0.00 5.20 0.00 29.60 66.10 103.90 469.70 39.14
1991 % 309.90 208.22 76.64 49.31 2.55 30.15 0.00 13.29 0.00 75.62 168.87 265.45 1200.00 100.00
P 128.00 89.70 65.80 17.80 0.00 0.00 0.00 0.50 2.50 34.30 46.00 34.90 419.50 34.96
1992 % 366.15 256.59 188.22 50.92 0.00 0.00 0.00 1.43 7.15 98.12 131.59 99.83 1200.00 100.00
P 98.30 84.20 32.60 2.50 0.00 6.80 2.50 3.90 0.00 40.40 46.40 55.30 372.90 31.08
1993 % 316.33 270.96 104.91 8.05 0.00 21.88 8.05 12.55 0.00 130.01 149.32 177.96 1200.00 100.00
P 128.30 37.60 65.50 4.90 0.00 0.00 0.00 15.80 14.10 23.50 35.80 82.40 407.90 33.99
e: 65° 45' 00"
1989
1990 % 143.09 149.59 117.07 266.67 0.00 39.02 0.00 0.00 48.78 107.32 191.87 136.59
P 5.8 4.8 3.8 2.8 1 3.9 0 1.7 0 2.1 5.5 8.7
1991 % 173.57 143.64 113.72 83.79 29.93 116.71 0.00 50.87 0.00 62.84 164.59 260.35
P 8 6 3.3 3 0 0 0 0.5 2.5 4.9 4.6 5.8
1992 % 248.70 186.53 102.59 93.26 0.00 0.00 0.00 15.54 77.72 152.33 143.01 180.31
P 3.8 3.7 3.3 2.5 0 6.8 1.2 1 0 4.5 5.2 4.6
1993 % 124.59 121.31 108.20 81.97 0.00 222.95 39.34 32.79 0.00 147.54 170.49 150.82
P 5.1 2.9 3.4 1.6 0 0 0 5.3 7 3.4 4.5 4.1
1200.00 100.00
40.10 3.34
1200.00 100.00
38.60 3.22
1200.00 100.00
36.60 3.05
1200.00 100.00
37.30 3.11
e: 65° 45' 00"
1989
1990 % 163.74 152.05 152.05 364.91 0.00 14.04 0.00 0.00 17.54 46.78 130.99 157.89 1200.00 100.00
P 25.2 18.2 16.2 7 1 5.6 0 2.2 0 5.8 19.2 35.4 135.80 11.32
1991 % 222.68 160.82 143.15 61.86 8.84 49.48 0.00 19.44 0.00 51.25 169.66 312.81 1200.00 100.00
P 25 21 13 14 0 0 0 0.5 2.5 10 25 14.7 125.70 10.48
1992 % 238.66 200.48 124.11 133.65 0.00 0.00 0.00 4.77 23.87 95.47 238.66 140.33 1200.00 100.00
P 15.6 12.5 15 2.5 0 6.8 1.4 2 0 20 10.4 15 101.20 8.43
1993 % 184.98 148.22 177.87 29.64 0.00 80.63 16.60 23.72 0.00 237.15 123.32 177.87 1200.00 100.00
P 17.5 8.4 10 4.2 0 0 0 10.2 10.8 8.6 16.5 8.7 94.90 7.91
e: 65° 45' 00"
1989
1990 % 119.46 115.11 111.86 103.17 87.96 70.59 65.16 72.76
P 11 10.4 10.4 10.1 8.2 6.4 5 7.6
1991 % 116.61 110.25 110.25 107.07 86.93 67.84 53.00 80.57
P 12.2 11.8 11.2 10.5 8.4 7.2 6.6 8.2
1992 % 127.30 123.13 116.87 109.57 87.65 75.13 68.87 85.57
P 10.4 7.6 9.4 8.6 8.8 6.2 5.4 5.6
1993 % 124.80 91.20 112.80 103.20 105.60 74.40 64.80 67.20
P 9.8 9.3 9.8 9.9 7.4 6.5 5.6 6.5
92.31 115.11 115.11 131.40 1200.00 100.00
8 11.3 12.4 12.4 113.20 9.43
84.81 119.79 131.45 131.45 1200.00 100.00
8 9.6 10.2 11.1 115.00 9.58
83.48 100.17 106.43 115.83 1200.00 100.00
6.8 10.2 9.8 11.2 100.00 8.33
81.60 122.40 117.60 134.40 1200.00 100.00
8.1 10.7 11.7 11.7 107.00 8.92
1993
1994 % 377.45 110.62 192.69 14.42 0.00 0.00 0.00 46.48 41.48 69.13 105.32 242.41 1200.00 100.00
P 101.60 30.80 35.40 7.20 1.20 0.00 0.00 0.00 2.30 4.50 40.10 75.90 299.00 24.92
1993
1995 % 407.76 123.61 142.07 28.90 4.82 0.00 0.00 0.00 9.23 18.06 160.94 304.62 1200.00 100.00
P 107.80 44.20 80.90 0.10 2.00 1.43 1.28 3.69 8.17 29.58 33.42 81.80 316.80 26.40
1994 % 164.08 93.30 109.38 51.47 0.00 0.00 0.00 170.51 225.20 109.38 144.77 131.90
P 5.6 2.4 3.5 1.8 1.2 0 0 0 1.2 1.1 2.9 6.3
1996 %
4.34 3.90 11.23 24.85 90.01 101.68 236.01 19.67
P 73.20 73.90 40.90 19.00 2.00 0.00 0.00 26.70 2.60 32.70 57.80 90.40 419.20 34.93
1995 % 258.46 110.77 161.54 83.08 55.38 0.00 0.00 0.00 55.38 50.77 133.85 290.77
P
% 209.54 211.55 117.08 54.39 5.73 0.00 0.00 76.43 7.44 93.61 165.46 258.78 1200.00 100.00
P 137.70 119.70 76.60 70.80 0.00 0.00 0.00 5.00 44.90 13.50 27.50 28.30 524.00 43.67
1996 %
4.9 3.2 5.8 0.1 2 0.75 0.70 1.59 2.53 4.35 3.63 5.1
1997
25.98 24.28 55.02 87.56 150.59 125.60
P 4.3 5.3 3.1 2.7 1 0 0 6.7 1.3 4.7 3.8 3.8
1997 % 140.60 173.30 101.36 88.28 32.70 0.00 0.00 219.07 42.51 153.68 124.25 124.25
P 5.3 5.4 3.3 5.9 0 0 0 1.7 4.5 1.9 2.5 1.8
1200.00 100.00
26.00 2.17
1993
1200.00 100.00
21.10 1.76
1994 % 221.29 106.22 126.45 53.11 0.00 0.00 0.00 128.98 136.56 108.75 208.64 110.01 1200.00 100.00
P 21.1 4.9 19.2 3.3 1.2 0 0 0 1.3 1.6 7.2 16.1 75.90 6.33
1993 P
10.6 11.1 10.3 10.3 8 6 6.8 8.6
36.70 3.06
1995 % 333.60 77.47 303.56 52.17 18.97 0.00 0.00 0.00 20.55 25.30 113.83 254.55 1200.00 100.00
P
12.57 10.13 33.13 56.53 127.42 121.43 361.21 30.10
P 15.1 24 7.2 10.8 1.6 0 0 20.4 1.4 17.3 13.1 13.2 124.10 10.34
1995 % 110.70 115.93 107.57 107.57 83.55 62.66 71.02 89.82
P
32.30 2.69
1997 % 146.01 232.07 69.62 104.43 15.47 0.00 0.00 197.26 13.54 167.28 126.67 127.64 1200.00 100.00
P 20.4 15.4 15.3 20.8 0 0 0 4.2 17.1 8.2 6.2 8 115.60 9.63
1996 %
10.9 10.8 10.5 9.9 8.5 6.80 6.38 7.79
1200.00 100.00
1996 %
17.2 11.6 11.8 0.1 2 0.88 0.71 2.31 3.95 8.90 8.48 15.9 58.60 4.88
1994 % 109.91 104.30 109.91 111.03 82.99 72.90 62.80 72.90
469.01 39.08
71.84 67.42 82.32
P 11.3 11.2 10.7 10.4 8.5 6.9 6 7.7
1997 % 118.84 117.79 112.53 109.38 89.40 72.57 63.10 80.98
P 11 10.3 8.6 8 6.5 5.7 7.1 7.5
90.84 120.00 131.21 131.21 1200.00 100.00
9.6 10.7 11.5 11.4 114.90 9.58
100.26 111.75 120.10 119.06 1200.00 100.00
9.10 10.87 11.82 10.2 60.80 5.07
96.11 114.89 124.92 557.51 46.46
8.3 10.9 10.8 11.4 114.10 9.51
87.29 114.64 113.58 119.89 1200.00 100.00
10.2 10.8 12.3 13.2 111.20 9.27
1997
1998 % 315.34 274.12 175.42 162.14 0.00 0.00 0.00 11.45 102.82 30.92 62.98 64.81 1200.00 100.00
P 53.60 91.20 51.30 11.20 0.00 1.40 0.00 6.80 0.00 65.60 51.80 49.00 381.90 31.83
1997
1999 % 168.42 286.57 161.19 35.19 0.00 4.40 0.00 21.37 0.00 206.13 162.77 153.97 1200.00 100.00
P 59.10 66.20 117.10 15.50 0.00 0.00 0.50 0.00 31.50 37.10 4.20 47.10 378.30 31.53
1998 % 196.90 200.62 122.60 219.20 0.00 0.00 0.00 63.16 167.18 70.59 92.88 66.87
P 3.1 5.1 3.2 5.6 0 1.4 0 3.4 0 7.3 5.2 3.3
2000 % 187.47 209.99 371.45 49.17 0.00 0.00 1.59 0.00 99.92 117.68 13.32 149.41 1200.00 100.00
P 117.80 39.40 65.00 8.50 0.00 0.00 0.00 0.40 1.80 22.50 3.80 120.50 379.70 31.64
1999 % 98.94 162.77 102.13 178.72 0.00 44.68 0.00 108.51 0.00 232.98 165.96 105.32
P 2.6 3.5 4.5 1.6 0 0 0.2 0 5.2 3.7 0.8 3.6
2001 % 372.29 124.52 205.43 26.86 0.00 0.00 0.00 1.26 5.69 71.11 12.01 380.83 1200.00 100.00
P 172.30 132.00 106.20 28.20 0.00 0.20 0.00 8.40 12.40 31.40 11.00 74.90 577.00 48.08
2000 % 121.40 163.42 210.12 74.71 0.00 0.00 9.34 0.00 242.80 172.76 37.35 168.09
P 4.5 2.6 3.6 2.1 0 0 0 0.4 1.8 2.2 1 7.1
2001 % 213.44 123.32 170.75 99.60 0.00 0.00 0.00 18.97 85.38 104.35 47.43 336.76
P 6.2 7 4.8 2.8 0 0.2 0 2.1 3.1 4.5 1.6 3.7
1200.00 100.00
37.60 3.13
1997
1200.00 100.00
25.70 2.14
1998 % 211.76 159.86 158.82 215.92 0.00 0.00 0.00 43.60 177.51 85.12 64.36 83.04 1200.00 100.00
P 15.2 21.8 14.2 8.4 0 1.4 0 5.8 0 15 23.4 16.2 121.40 10.12
1997 P
13.3 12.9 12.8 11 8.1 6.7 7.3 7.5
25.30 2.11
1999 % 150.25 215.49 140.36 83.03 0.00 13.84 0.00 57.33 0.00 148.27 231.30 160.13 1200.00 100.00
P 12.4 14 24.6 4.5 0 0 0.4 0 15 10.8 2.2 12 95.90 7.99
1998 % 118.71 111.15 92.81 86.33 70.14 61.51 76.62 80.94
1200.00 100.00
P 10.6 10.9 10.7 9.6 7.5 5.6 5.7 7.2
36.00 3.00
2000 % 155.16 175.18 307.82 56.31 0.00 0.00 5.01 0.00 187.70 135.14 27.53 150.16 1200.00 100.00
P 16.6 10 10 6.4 0 0 0 0.4 1.8 6.6 2.4 22.4 76.60 6.38
1999 % 132.45 128.46 127.47 109.54 80.66 66.72 72.70 74.69
1200.00 100.00
2001 % 260.05 156.66 156.66 100.26 0.00 0.00 0.00 6.27 28.20 103.39 37.60 350.91 1200.00 100.00
P 20 28.4 24.7 9.9 0 0.2 0 6.9 8.4 11.9 5.2 20.5 136.10 11.34
2000 % 117.34 120.66 118.45 106.27 83.03 61.99 63.10 79.70
P 10.6 10 10.7 10.1 8.8 5.4 4.2 6.9
2001 % 118.22 111.52 119.33 112.64 98.14 60.22 46.84 76.95
P 9.6 10 10.1 9.5 7.5 6.3 5.8 7.4
110.07 116.55 132.73 142.45 1200.00 100.00
8.9 9.5 10.9 11.6 120.50 10.04
88.63 94.61 108.55 115.52 1200.00 100.00
8.4 9.9 10.4 11.9 108.40 9.03
92.99 109.59 115.13 131.73 1200.00 100.00
8.6 10.2 11.1 11 107.60 8.97
95.91 113.75 123.79 122.68 1200.00 100.00
9.1 10.1 11.2 10.2 106.80 8.90
2001
2002 % 358.34 274.52 220.87 58.65 0.00 0.42 0.00 17.47 25.79 65.30 22.88 155.77 1200.00 100.00
P 91.30 92.60 55.70 17.40 10.00 9.00 2.30 0.20 3.00 44.20 54.20 13.60 393.50 32.79
2001
2003 % 278.42 282.39 169.86 53.06 30.50 27.45 7.01 0.61 9.15 134.79 165.29 41.47 1200.00 100.00
P 83.90 79.60 40.80 11.80 6.40 0.00 11.40 11.20 6.30 10.00 7.70 124.40 393.50 32.79
2002 % 206.67 233.33 160.00 93.33 0.00 6.67 0.00 70.00 103.33 150.00 53.33 123.33
P 4.6 4.9 2.9 2.5 5 4.5 0.8 0.1 1.5 3.4 4.5 1.7
2004 % 255.86 242.74 124.42 35.98 19.52 0.00 34.76 34.16 19.21 30.50 23.48 379.36 1200.00 100.00
P 84.30 102.40 32.10 18.40 0.00 0.10 10.50 1.80 0.80 5.20 6.10 54.20 315.90 26.33
2003 % 151.65 161.54 95.60 82.42 164.84 148.35 26.37 3.30 49.45 112.09 148.35 56.04
P 4.2 3.8 2.6 2 1.3 0 11.4 3.7 2.1 1.7 1.5 7.3
2005 % 320.23 388.98 121.94 69.90 0.00 0.38 39.89 6.84 3.04 19.75 23.17 205.89 1200.00 100.00
P 104.60 85.20 35.50 31.00 0.00 0.00 0.00 0.00 27.20 49.80 60.10 43.60 437.00 36.42
2004 % 121.15 109.62 75.00 57.69 37.50 0.00 328.85 106.73 60.58 49.04 43.27 210.58
P 4.2 6 2 3.1 0 0.1 2.1 0.9 0.4 1.7 2 3.9
2005 % 190.91 272.73 90.91 140.91 0.00 4.55 95.45 40.91 18.18 77.27 90.91 177.27
P 7.5 4.3 4.4 3.1 0 0 0 0 13.6 7.1 5.5 2.6
1200.00 100.00
36.40 3.03
2001
1200.00 100.00
41.60 3.47
2002 % 176.34 250.40 217.78 87.29 0.00 1.76 0.00 60.84 74.06 104.92 45.85 180.75 1200.00 100.00
P 19.7 28.7 11.1 6.2 5.6 8.4 2.1 0.1 1.8 12.1 17.1 5.4 118.30 9.86
2001 P
11.2 10.7 10.7 10.5 8.5 7 4.7 6.8
26.40 2.20
2003 % 199.83 291.12 112.60 62.89 56.80 85.21 21.30 1.01 18.26 122.74 173.46 54.78 1200.00 100.00
P 12.3 16.8 11.4 3.9 2 0 11.4 9.6 5.5 8.2 3.8 26.4 111.30 9.28
2002 % 107.87 112.36 113.48 106.74 84.27 70.79 65.17 83.15
1200.00 100.00
P 11 11 10.4 9.7 7.8 6.5 6.1 6.1
48.10 4.01
2004 % 132.61 181.13 122.91 42.05 21.56 0.00 122.91 103.50 59.30 88.41 40.97 284.64 1200.00 100.00
P 22.1 20.8 4.4 6.2 0 0.1 3.8 1 0.7 3.6 3.6 8.4 74.70 6.23
2003 % 119.25 113.93 113.93 111.80 90.51 74.53 50.04 72.40
1200.00 100.00
2005 % 355.02 334.14 70.68 99.60 0.00 1.61 61.04 16.06 11.24 57.83 57.83 134.94 1200.00 100.00
P 32.1 13.8 18.2 21.1 0 0 0 0 21.7 21.4 20.8 6.7 155.80 12.98
2004 % 122.11 122.11 115.45 107.68 86.59 72.16 67.72 67.72
P 10.4 10 10.6 10.4 5.9 5.3 5.7 7.2
2005 % 116.31 111.84 118.55 116.31 65.98 59.27 63.75 80.52
P 10.9 10.3 11.3 10 7.5 5.9 6.4 7.1
102.25 113.48 125.84 114.61 1200.00 100.00
8.6 10.7 11.4 11.9 112.70 9.39
91.57 113.93 121.38 126.71 1200.00 100.00
7.5 9.6 10.4 12 108.10 9.01
83.26 106.57 115.45 133.21 1200.00 100.00
9.5 9.8 11.3 11.2 107.30 8.94
106.24 109.60 126.37 125.26 1200.00 100.00
7.2 9.2 10.8 11.1 107.70 8.98
2005
2006 % 287.23 233.96 97.48 85.13 0.00 0.00 0.00 0.00 74.69 136.75 165.03 119.73 1200.00 100.00
P 120.70 54.40 57.00 18.80 2.30 0.00 0.00 0.00 4.10 45.20 35.80 41.30 379.60 31.63
2005
2007 % 381.56 171.97 180.19 59.43 7.27 0.00 0.00 0.00 12.96 142.89 113.17 130.56 1200.00 100.00
P 115.00 62.70 79.00 11.80 0.00 0.00 2.10 0.00 18.40 20.90 44.50 75.60 430.00 35.83
2006 % 187.11 107.28 109.77 77.34 0.00 0.00 0.00 0.00 339.29 177.13 137.21 64.86
P 5.2 4.2 5.2 2.7 2.3 0 0 0 1.4 9 4 2.8
2008 % 320.93 174.98 220.47 32.93 0.00 0.00 5.86 0.00 51.35 58.33 124.19 210.98 1200.00 100.00
P 108.60 48.50 50.70 2.00 0.00 0.00 0.00 2.30 2.10 21.00 10.40 92.30 337.90 28.16
2007 % 169.57 136.96 169.57 88.04 75.00 0.00 0.00 0.00 45.65 293.48 130.43 91.30
P 5.2 4.8 3.8 1.7 0 0 2.1 0 1.5 3 4 4
2009 % 385.68 172.24 180.05 7.10 0.00 0.00 0.00 8.17 7.46 74.58 36.93 327.79 1200.00 100.00
P 138.70 110.90 102.50 25.80 4.70 0.00 0.00 0.00 6.40 3.20 80.20 99.30 571.70 47.64
2008 % 207.31 191.36 151.50 67.77 0.00 0.00 83.72 0.00 59.80 119.60 159.47 159.47
P 4.5 3.2 3.2 1 0 0 0 1.2 2.1 1.9 1 4
2009 % 244.34 173.76 173.76 54.30 0.00 0.00 0.00 65.16 114.03 103.17 54.30 217.19
P 5.3 5.8 4.5 5.2 2.4 0 0 0 3.2 1.6 5.4 5.5
1200.00 100.00
36.80 3.07
2005
1200.00 100.00
30.10 2.51
2006 % 247.24 106.29 140.18 162.52 0.00 0.00 0.00 0.00 167.14 164.83 160.21 51.60 1200.00 100.00
P 30.2 12.5 16.8 7.5 2.3 0 0 0 2.7 27.2 8.6 14.2 122.00 10.17
2005 P
10.4 10.5 10.8 10 7 6 6 7.3
22.10 1.84
2007 % 297.05 122.95 165.25 73.77 22.62 0.00 0.00 0.00 26.56 267.54 84.59 139.67 1200.00 100.00
P 34.8 21.5 15.1 4.7 0 0 2.1 0 10.2 8.7 21.5 21.5 140.10 11.68
2006 % 121.45 114.76 125.91 111.42 83.57 65.74 71.31 79.11
1200.00 100.00
P 11.5 11.1 10.6 10.1 7.5 7.7 5.4 8.3
38.90 3.24
2008 % 298.07 184.15 129.34 40.26 0.00 0.00 17.99 0.00 87.37 74.52 184.15 184.15 1200.00 100.00
P 19.7 11 13 1.8 0 0 0 2.1 2.1 5.1 2.1 13.3 70.20 5.85
2007 % 114.08 115.17 118.46 109.69 76.78 65.81 65.81 80.07
1200.00 100.00
2009 % 336.75 188.03 222.22 30.77 0.00 0.00 0.00 35.90 35.90 87.18 35.90 227.35 1200.00 100.00
P 25 15.8 23 8.9 4 0 0 0 5.2 2.8 15.8 18.8 119.30 9.94
2008 % 123.88 119.57 114.18 108.80 80.79 82.94 58.17 89.41
P 10.2 9.9 9.6 8.9 6.4 6 5.9 6.9
2009 % 117.24 113.79 110.34 102.30 73.56 68.97 67.82 79.31
P 10 10.3 9.7 8.8 7.7 5.5 5.7 6.3
80.22 102.51 120.33 123.68 1200.00 100.00
7.6 10.6 11.6 11.6 109.40 9.12
83.36 116.27 127.24 127.24 1200.00 100.00
8.8 10.1 10 10.3 111.40 9.28
94.79 108.80 107.72 110.95 1200.00 100.00
8.5 10 11.5 10.6 104.40 8.70
97.70 114.94 132.18 121.84 1200.00 100.00
9.2 10.9 12.4 11.8 108.30 9.03
2009
2010 % 291.13 232.78 215.15 54.15 9.87 0.00 0.00 0.00 13.43 6.72 168.34 208.43 1200.00 100.00
P 112.90 52.70 66.40 26.00 4.00 0.00 0.50 6.50 0.80 36.70 20.80 63.80 391.10 32.59
2009
2011 % 346.41 161.70 203.73 79.77 12.27 0.00 1.53 19.94 2.45 112.61 63.82 195.76 1200.00 100.00
P 74.40 197.90 149.60 3.50 14.00 0.00 1.60 0.00 0.00 8.00 44.20 91.80 585.00 48.75
2010 % 163.50 178.92 138.82 160.41 74.04 0.00 0.00 0.00 98.71 49.36 166.58 169.67
P 5.6 3.1 5.5 3.2 1 0 0.5 6.5 0.8 9.2 3 4
2012 % 152.62 405.95 306.87 7.18 28.72 0.00 3.28 0.00 0.00 16.41 90.67 188.31 1200.00 100.00
P 115.70 108.00 96.00 23.80 0.00 0.00 0.00 0.00 9.80 16.10 66.80 100.20 536.40 44.70
2011 % 158.49 87.74 155.66 90.57 28.30 0.00 14.15 183.96 22.64 260.38 84.91 113.21
P 6.8 9.4 8.3 1.2 4.7 0 1.6 0 0 1.6 4 6.1
2013 % 258.84 241.61 214.77 53.24 0.00 0.00 0.00 0.00 21.92 36.02 149.44 224.16 1200.00 100.00
P 143.30 173.70 20.60 0.20 7.90 1.00 1.00 11.00 1.40 18.40 27.80 87.40 493.70 41.14
2012 % 186.73 258.12 227.92 32.95 129.06 0.00 43.94 0.00 0.00 43.94 109.84 167.51
P 5.5 4.9 5.6 2.4 0 0 0 0 2.4 8 4.8 5.9
2013 % 167.09 148.86 170.13 72.91 0.00 0.00 0.00 0.00 72.91 243.04 145.82 179.24
P 6.5 8.3 2.9 0.2 2.6 0.5 1 11 0.7 3.1 3.5 5.5
1200.00 100.00
42.40 3.53
2009
1200.00 100.00
43.70 3.64
2010 % 251.47 158.93 231.35 89.52 40.23 0.00 0.00 0.00 52.31 28.16 158.93 189.10 1200.00 100.00
P 20.2 15.8 19.4 12.4 1.8 0 0.5 6.5 0.8 15.6 8.8 12.9 114.70 9.56
2009 P
11.5 12.3 11.3 10.5 7.7 8.2 6.6 8.6
39.50 3.29
2011 % 211.33 165.30 202.96 129.73 18.83 0.00 5.23 68.00 8.37 163.21 92.07 134.96 1200.00 100.00
P 19.8 46.3 45.7 1.8 8.4 0 1.6 0 0 6.4 11 29 170.00 14.17
2010 % 110.80 114.13 107.48 97.51 85.32 60.94 63.16 69.81
1200.00 100.00
P 11.3 9.9 10.1 10 7.8 7.4 6.3 7.8
45.80 3.82
2012 % 139.76 326.82 322.59 12.71 59.29 0.00 11.29 0.00 0.00 45.18 77.65 204.71 1200.00 100.00
P 28.8 14.3 16.3 5.7 0 0 0 0 8.6 9.2 16.7 21.2 120.80 10.07
2011 % 117.65 125.83 115.60 107.42 78.77 83.89 67.52 87.98
1200.00 100.00
2013 % 286.09 142.05 161.92 56.62 0.00 0.00 0.00 0.00 85.43 91.39 165.89 210.60 1200.00 100.00
P 17.7 40.8 6.5 0.2 5.8 0.6 1 11 1 9.1 13.2 13.7 120.60 10.05
2012 % 123.16 107.90 110.08 108.99 85.01 80.65 68.66 85.01
P 10.2 10 9.7 9.9 6.9 6.4 6.5 8
2013 % 109.68 107.53 104.30 106.45 74.19 68.82 69.89 86.02
P 10.7 10.6 12.4 9.9 9.3 6.2 7.4 7.6
101.94 120.78 137.40 130.75 1200.00 100.00
8.9 10 10 11.7 117.30 9.78
91.05 102.30 102.30 119.69 1200.00 100.00
8.5 9.6 10.8 10.6 110.10 9.18
92.64 104.63 117.71 115.53 1200.00 100.00
9.9 10.9 11.6 11.6 111.60 9.30
106.45 117.20 124.73 124.73 1200.00 100.00
8.4 10.2 11.9 11.7 116.30 9.69
2013
2014 % 348.31 422.20 50.07 0.49 19.20 2.43 2.43 26.74 3.40 44.72 67.57 212.44 1200.00 100.00
P 101.90 127.20 8.60 7.50 9.50 0.00 0.00 0.50 5.10 96.30 28.80 17.70 403.10 33.59
2013
2015 % 303.35 378.67 25.60 22.33 28.28 0.00 0.00 1.49 15.18 286.68 85.74 52.69 1200.00 100.00
P 113.80 88.10 45.60 42.10 0.00 0.00 0.00 8.70 5.00 40.90 34.40 23.10 401.70 33.48
2014 % 170.31 217.47 75.98 5.24 68.12 13.10 26.20 288.21 18.34 81.22 91.70 144.10
P 4.1 6.1 1 1.1 4.8 0 0 0.5 1.7 12 3.6 2
2016 % 339.96 263.18 136.22 125.77 0.00 0.00 0.00 25.99 14.94 122.18 102.76 69.01 1200.00 100.00
P 47.3 101 18.8 20.8 0 0 0 0 11.9 15.4 4.7 45.6 265.50 22.13
2015 % 133.33 198.37 32.52 35.77 156.10 0.00 0.00 16.26 55.28 390.24 117.07 65.04
P 4.4 6.3 2.5 3.2 0 0 0 4.4 1.7 5.8 5.7 3.3
2016 % 141.55 202.68 80.43 102.95 0.00 0.00 0.00 141.55 54.69 186.60 183.38 106.17
P 2.6 5.6 2.7 3.0 0.0 0.0 0.0 0.0 2.4 1.2 0.5 2.8
SUMA % AÑOS COMPLETOS % Suma 213.79 8893.77 456.50 7249.30 84.97 5017.15 94.01 1810.85 0.00 173.34 0.00 125.95 0.00 113.05 0.00 325.66 53.79 720.67 69.60 2610.19 21.24 2948.73 206.10 6011.34 1200.00 36000.00 100.00 3000.00
SUMA % AÑOS COMPLETOS % Suma 150.00 5027.83 323.08 5006.60 155.77 3825.81 173.08 2947.70 0.00 903.38 0.00 753.31 0.00 704.03 0.00 1595.51 138.46 2539.12 69.23 4367.00 28.85 3642.40 161.54 4687.32
1200.00 100.00
36.90 3.08
2013
1200.00 100.00
37.30 3.11
2014 % 176.12 405.97 64.68 1.99 57.71 5.97 9.95 109.45 9.95 90.55 131.34 136.32 1200.00 100.00
P 14 18.2 2.2 2.1 6.3 0 0 0.5 4.5 25.6 9 5.4 87.80 7.32
2013 P
11 11.2 11.4 10.8 7.9 7.3 5.7 6.9
20.80 1.73
2015 % 191.34 248.75 30.07 28.70 86.10 0.00 0.00 6.83 61.50 349.89 123.01 73.80 1200.00 100.00
P 26.5 17 14.3 14 0 0 0 8.1 2.6 23.6 12 7 125.10 10.43
2014 % 110.40 109.37 127.94 102.15 95.96 63.97 76.35 78.42
1200.00 100.00
2016 % 254.20 163.07 137.17 134.29 0.00 0.00 0.00 77.70 24.94 226.38 115.11 67.15 1200.00 100.00
P 13.1 18 7.2 12 0 0 0 0 3.5 5.6 1.7 10.6 71.70 5.98
2015 % 113.99 116.06 118.13 111.92 81.87 75.65 59.07 71.50
P 10.6 11.4 11.1 10.6 8 7.9 6.5 8
2016 % 104.43 112.32 109.36 104.43 78.82 77.83 64.04 78.82
P 12.4 11.3 13.1 11.9 8.7 6.7 8 8
1200.00 100.00
36000.00 3000.00
SUMA % AÑOS COMPLETOS % Suma 219.25 6688.15 301.26 5807.17 120.50 4708.72 200.84 2779.23 0.00 426.63 0.00 364.62 0.00 293.73 0.00 960.67 58.58 1639.37 93.72 3695.22 28.45 3521.59 177.41 5114.90 1200.00 36000.00 100.00 3000.00
SUMA % AÑOS COMPLETOS % Suma 117.81 3532.49 107.36 3421.75 124.47 3429.88 113.06 3215.67 82.66 2506.22 63.66 2083.36 76.01 1955.27 76.01 2387.27
86.67 105.25 122.79 120.72 1200.00 100.00
9.3 10.4 11.7 12.2 115.80 9.65
96.37 107.77 121.24 126.42 1200.00 100.00
9.9 11.7 13 13.1 121.80 10.15
97.54 115.27 128.08 129.06 1200.00 100.00
9.6 11.8 12.6 12.2 126.30 10.53
91.21 112.11 119.71 115.91 1200.00 100.00
2787.23 3331.89 3622.77 3726.19 36000.00 3000.00
UMA % AÑOS COMPLETOS Promedio 306.68 249.98 173.01 62.44 5.98 4.34 3.90 11.23 24.85 90.01 101.68 207.29 1200.00 100.00
UMA % AÑOS COMPLETOS Promedio 173.37 172.64 131.92 101.64 31.15 25.98 24.28 55.02 87.56 150.59 125.60 161.63
1200.00 100.00
UMA % AÑOS COMPLETOS Promedio 230.63 200.25 162.37 95.84 14.71 12.57 10.13 33.13 56.53 127.42 121.43 176.38 1200.00 100.00
UMA % AÑOS COMPLETOS Promedio 121.81 117.99 118.27 110.89 86.42 71.84 67.42 82.32
96.11 114.89 124.92 128.49 1200.00 100.00
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación total (mm) ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV 62.4 68.7 0 9.2 0.3 0.4 0 0 4.6 28 48 149.9 36.6 69.6 10.4 0 11.5 3 0 3.7 60.1 40.5 78.3 53.2 174.2 44 1.6 0 0 0 38.2 18 24 56.5 59.5 36 90.7 0 1.2 0 0 1.5 10 17.7 121.3 81.5 30 19.3 1 11.8 0 5.2 0 29.6 66.1 128 89.7 65.8 17.8 0 0 0 0.5 2.5 34.3 46 98.3 84.2 32.6 2.5 0 6.8 2.5 3.9 0 40.4 46.4 128.3 37.6 65.5 4.9 0 0 0 15.8 14.1 23.5 35.8 101.6 30.8 35.4 7.2 1.2 0 0 0 2.3 4.5 40.1 107.8 44.2 80.9 0.1 2 1.42 1.27 3.67 7.52 28.64 33.00 73.2 73.9 40.9 19 2 0 0 26.7 2.6 32.7 57.8 137.7 119.7 76.6 70.8 0 0 0 5 44.9 13.5 27.5 53.6 91.2 51.3 11.2 0 1.4 0 6.8 0 65.6 51.8 59.1 66.2 117.1 15.5 0 0 0.5 0 31.5 37.1 4.2 117.8 39.4 65 8.5 0 0 0 0.4 1.8 22.5 3.8 172.3 132 106.2 28.2 0 0.2 0 8.4 12.4 31.4 11 91.3 92.6 55.7 17.4 10 9 2.3 0.2 3 44.2 54.2 83.9 79.6 40.8 11.8 6.4 0 11.4 11.2 6.3 10 7.7 84.3 102.4 32.1 18.4 0 0.1 10.5 1.8 0.8 5.2 6.1 104.6 85.2 35.5 31 0 0 0 0 27.2 49.8 60.1 120.7 54.4 57 18.8 2.3 0 0 0 4.1 45.2 35.8 115 62.7 79 11.8 0 0 2.1 0 18.4 20.9 44.5 108.6 48.5 50.7 2 0 0 0 2.3 2.1 21 10.4 138.7 110.9 102.5 25.8 4.7 0 0 0 6.4 3.2 80.2 112.9 52.7 66.4 26 4 0 0.5 6.5 0.8 36.7 20.8 74.4 197.9 149.6 3.5 14 0 1.6 0 0 8 44.2 115.7 108 96 23.8 0 0 0 0 9.8 16.1 66.8 143.3 173.7 20.6 0.2 7.9 1 1 11 1.4 18.4 27.8 101.9 127.2 8.6 7.5 9.5 0 0 0.5 5.1 96.3 28.8 113.8 88.1 45.6 42.1 0 0 0 8.7 5 40.9 34.4 47.3 101 18.8 20.8 0 0 0 0 11.9 15.4 4.7 105.17 83.08 62.91 19.98 2.23 1.49 1.22 3.95 8.60 29.86 35.85
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
DIC 147.2 31 95.2 54.5 103.9 34.9 55.3 82.4 75.9 81.8 90.4 28.3 49 47.1 120.5 74.9 13.6 124.4 54.2 43.6 41.3 75.6 92.3 99.3 63.8 91.8 100.2 87.4 17.7 23.1 45.6 70.02
ANUAL 368.8 416.3 526.7 327.6 469.7 419.5 372.9 407.9 299 392.33 419.2 524 381.9 378.3 379.7 577 393.5 393.5 315.9 437 379.6 430 337.9 571.7 391.1 585 536.4 493.7 403.1 401.7 265.5 424.36
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
ENE 2.8 7.1 4.4 4.4 5.8 8 3.8 5.1 5.6 4.9 4.3 5.3 3.1 2.6 4.5 6.2 4.6 4.2 4.2 7.5 5.2 5.2 4.5 5.3 5.6 6.8 5.5 6.5 4.1 4.4 2.6 5.05
stación: Potosí Los Pinos epartamento: Potosí rovincia: Tomás Frías
FEB 4.3 4.6 3.8 4.6 4.8 6 3.7 2.9 2.4 3.2 5.3 5.4 5.1 3.5 2.6 7 4.9 3.8 6 4.3 4.2 4.8 3.2 5.8 3.1 9.4 4.9 8.3 6.1 6.3 5.6 4.81
MAR 0 5.8 7.9 3.6 3.8 3.3 3.3 3.4 3.5 5.8 3.1 3.3 3.2 4.5 3.6 4.8 2.9 2.6 2 4.4 5.2 3.8 3.2 4.5 5.5 8.3 5.6 2.9 1 2.5 2.7 3.91
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación media (mm) ABR MAY JUN JUL AGO SEP 1.8 0.3 0.4 0 0 2.3 5.2 0 5.8 1.5 0 3.7 3.7 1.6 0 0 0 6.4 8.2 0 1.2 0 0 1.5 2.8 1 3.9 0 1.7 0 3 0 0 0 0.5 2.5 2.5 0 6.8 1.2 1 0 1.6 0 0 0 5.3 7 1.8 1.2 0 0 0 1.2 0.1 2 0.74 0.69 1.57 2.36 2.7 1 0 0 6.7 1.3 5.9 0 0 0 1.7 4.5 5.6 0 1.4 0 3.4 0 1.6 0 0 0.2 0 5.2 2.1 0 0 0 0.4 1.8 2.8 0 0.2 0 2.1 3.1 2.5 5 4.5 0.8 0.1 1.5 2 1.3 0 11.4 3.7 2.1 3.1 0 0.1 2.1 0.9 0.4 3.1 0 0 0 0 13.6 2.7 2.3 0 0 0 1.4 1.7 0 0 2.1 0 1.5 1 0 0 0 1.2 2.1 5.2 2.4 0 0 0 3.2 3.2 1 0 0.5 6.5 0.8 1.2 4.7 0 1.6 0 0 2.4 0 0 0 0 2.4 0.2 2.6 0.5 1 11 0.7 1.1 4.8 0 0 0.5 1.7 3.2 0 0 0 4.4 1.7 3.0 0.0 0.0 0.0 0.0 2.4 2.80 1.04 0.85 0.77 1.76 2.53
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
Esta Datos de : Pre OCT 7 8.6 4.5 3.3 2.1 4.9 4.5 3.4 1.1 4.23 4.7 1.9 7.3 3.7 2.2 4.5 3.4 1.7 1.7 7.1 9 3 1.9 1.6 9.2 1.6 8 3.1 12 5.8 1.2 4.57
NOV 5.3 2.9 8 5.9 5.5 4.6 5.2 4.5 2.9 3.56 3.8 2.5 5.2 0.8 1 1.6 4.5 1.5 2 5.5 4 4 1 5.4 3 4 4.8 3.5 3.6 5.7 0.5 3.86
DIC 6.7 30.9 3.9 49.1 6.8 47.1 4.2 36.9 8.7 40.1 5.8 38.6 4.6 36.6 4.1 37.3 6.3 26 5.1 34.26 3.8 36.7 1.8 32.3 3.3 37.6 3.6 25.7 7.1 25.3 3.7 36 1.7 36.4 7.3 41.6 3.9 26.4 2.6 48.1 2.8 36.8 4 30.1 4 22.1 5.5 38.9 4 42.4 6.1 43.7 5.9 39.5 5.5 45.8 2 36.9 3.3 37.3 2.8 20.8 4.60 36.55
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
ENE 18.1 16.5 18.8 14 25.2 25 15.6 17.5 21.1 17.2 15.1 20.4 15.2 12.4 16.6 20 19.7 12.3 22.1 32.1 30.2 34.8 19.7 25 20.2 19.8 28.8 17.7 14 26.5 13.1 20.39
FEB 16 10 11.5 13 18.2 21 12.5 8.4 4.9 11.6 24 15.4 21.8 14 10 28.4 28.7 16.8 20.8 13.8 12.5 21.5 11 15.8 15.8 46.3 14.3 40.8 18.2 17 18 17.80
MAR 0 14 24 13 16.2 13 15 10 19.2 11.8 7.2 15.3 14.2 24.6 10 24.7 11.1 11.4 4.4 18.2 16.8 15.1 13 23 19.4 45.7 16.3 6.5 2.2 14.3 7.2 14.99
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Precipitación máxima en 24 hrs (mm) ABR MAY JUN JUL AGO SEP 3.4 0.3 0.4 0 0 4.4 7.4 0 9.5 2 0 3.7 14 1.6 0 0 0 15 31.2 0 1.2 0 0 1.5 7 1 5.6 0 2.2 0 14 0 0 0 0.5 2.5 2.5 0 6.8 1.4 2 0 4.2 0 0 0 10.2 10.8 3.3 1.2 0 0 0 1.3 0.1 2 0.87 0.70 2.30 3.78 10.8 1.6 0 0 20.4 1.4 20.8 0 0 0 4.2 17.1 8.4 0 1.4 0 5.8 0 4.5 0 0 0.4 0 15 6.4 0 0 0 0.4 1.8 9.9 0 0.2 0 6.9 8.4 6.2 5.6 8.4 2.1 0.1 1.8 3.9 2 0 11.4 9.6 5.5 6.2 0 0.1 3.8 1 0.7 21.1 0 0 0 0 21.7 7.5 2.3 0 0 0 2.7 4.7 0 0 2.1 0 10.2 1.8 0 0 0 2.1 2.1 8.9 4 0 0 0 5.2 12.4 1.8 0 0.5 6.5 0.8 1.8 8.4 0 1.6 0 0 5.7 0 0 0 0 8.6 0.2 5.8 0.6 1 11 1 2.1 6.3 0 0 0.5 4.5 14 0 0 0 8.1 2.6 12 0 0 0 0 3.5 8.15 1.46 1.17 0.90 3.13 5.14
Estación: Potosí Los Pinos Departamento: Potosí Provincia: Tomás Frías
OCT 10 20 7 4 5.8 10 20 8.6 1.6 8.61 17.3 8.2 15 10.8 6.6 11.9 12.1 8.2 3.6 21.4 27.2 8.7 5.1 2.8 15.6 6.4 9.2 9.1 25.6 23.6 5.6 11.47
NOV 13 7.2 11 11.2 19.2 25 10.4 16.5 7.2 8.35 13.1 6.2 23.4 2.2 2.4 5.2 17.1 3.8 3.6 20.8 8.6 21.5 2.1 15.8 8.8 11 16.7 13.2 9 12 1.7 11.52
DIC 19.5 16.8 17.5 13.5 35.4 14.7 15 8.7 16.1 15.9 13.2 8 16.2 12 22.4 20.5 5.4 26.4 8.4 6.7 14.2 21.5 13.3 18.8 12.9 29 21.2 13.7 5.4 7 10.6 15.64
Max 19.5 20 24 31.2 35.4 25 20 17.5 21.1 17.2 24 20.8 23.4 24.6 22.4 28.4 28.7 26.4 22.1 32.1 30.2 34.8 19.7 25 20.2 46.3 28.8 40.8 25.6 26.5 18 26.06
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Prom
ENE 11.2 11 12 11 11 12.2 10.4 9.8 10.6 10.9 11.3 11 13.3 10.6 10.6 9.6 11.2 11 10.4 10.9 10.4 11.5 10.2 10 11.5 11.3 10.2 10.7 11 10.6 12.4 10.91
FEB 11.1 10.1 11.1 10.6 10.4 11.8 7.6 9.3 11.1 10.8 11.2 10.3 12.9 10.9 10 10 10.7 11 10 10.3 10.5 11.1 9.9 10.3 12.3 9.9 10 10.6 11.2 11.4 11.3 10.61
MAR 10.6 9.9 11.3 10.3 10.4 11.2 9.4 9.8 10.3 10.5 10.7 8.6 12.8 10.7 10.7 10.1 10.7 10.4 10.6 11.3 10.8 10.6 9.6 9.7 11.3 10.1 9.7 12.4 11.4 11.1 13.1 10.57
Latitud Sud: 19° 35 Longitud Oeste: 65 Altura m/s/n/m: 39
Estación Potosí - L Datos de : Temperatura ABR MAY 10.1 6.7 9.8 7.9 10.1 8.3 9.5 8.1 10.1 8.2 10.5 8.4 8.6 8.8 9.9 7.4 10.3 8 9.9 8.5 10.4 8.5 8 6.5 11 8.1 9.6 7.5 10.1 8.8 9.5 7.5 10.5 8.5 9.7 7.8 10.4 5.9 10 7.5 10 7 10.1 7.5 8.9 6.4 8.8 7.7 10.5 7.7 10 7.8 9.9 6.9 9.9 9.3 10.8 7.9 10.6 8 11.9 8.7 9.92 7.77
Latitud Sud: 19° 35' 00" Longitud Oeste: 65° 45' 00" Altura m/s/n/m: 3950
Estación Potosí - Los pinos Datos de : Temperatura media (ºC) JUN JUL AGO SEP 6.1 4.2 6.7 6.8 6 6.8 8.2 9.4 6.6 7.1 9.4 9.6 6.5 6 6.7 8.5 6.4 5 7.6 8 7.2 6.6 8.2 8 6.2 5.4 5.6 6.8 6.5 5.6 6.5 8.1 6 6.8 8.6 9.6 6.41 5.96 7.33 8.55 6.9 6 7.7 8.3 5.7 7.1 7.5 10.2 6.7 7.3 7.5 8.9 5.6 5.7 7.2 8.4 5.4 4.2 6.9 8.6 6.3 5.8 7.4 9.1 7 4.7 6.8 8.6 6.5 6.1 6.1 7.5 5.3 5.7 7.2 9.5 5.9 6.4 7.1 7.2 6 6 7.3 7.6 7.7 5.4 8.3 8.8 6 5.9 6.9 8.5 5.5 5.7 6.3 9.2 8.2 6.6 8.6 8.9 7.4 6.3 7.8 8.5 6.4 6.5 8 9.9 6.2 7.4 7.6 8.4 7.3 5.7 6.9 9.3 7.9 6.5 8 9.9 6.7 8 8 9.6 6.46 6.02 7.40 8.62
OCT 9 11 10 10.6 11.3 9.6 10.2 10.7 10.7 10.21 10.9 10.8 9.5 9.9 10.2 10.1 10.7 9.6 9.8 9.2 10.6 10.1 10 10.9 10 9.6 10.9 10.2 10.4 11.7 11.8 10.28
NOV 10.9 11.8 10.4 10.6 12.4 10.2 9.8 11.7 11.5 11.11 10.8 12.3 10.9 10.4 11.1 11.2 11.4 10.4 11.3 10.8 11.6 10 11.5 12.4 10 10.8 11.6 11.9 11.7 13 12.6 11.18
DIC 10.4 12.3 11.2 12.1 12.4 11.1 11.2 11.7 11.4 10.2 11.4 13.2 11.6 11.9 11 10.2 11.9 12 11.2 11.1 11.6 10.3 10.6 11.8 11.7 10.6 11.6 11.7 12.2 13.1 12.2 11.49
ANUAL 8.65 9.52 9.76 9.21 9.43 9.58 8.33 8.92 9.58 9.20 9.51 9.27 10.04 9.03 8.97 8.90 9.39 9.01 8.94 8.98 9.12 9.28 8.70 9.03 9.78 9.18 9.30 9.69 9.65 10.15 10.53 9.31
DISTRIBUCION GUMBEL
AÑO
P 24MAX
i
Precipitacion
Weibull
1986
19.5
1
19.50
3.13%
1987
20
2
20.00
6.25%
1988
24
3
24.00
9.38%
1989
31.2
4
31.20
12.50%
1990
35.4
5
35.40
15.63%
1991
25
6
25.00
18.75%
1992
20
7
20.00
21.88%
1993
17.5
8
17.50
25.00%
1994
21.1
9
21.10
28.13%
1995
17.2
10
17.20
31.25%
1996
24
11
24.00
34.38%
1997
20.8
12
20.80
37.50%
1998
23.4
13
23.40
40.63%
1999
24.6
14
24.60
43.75%
2000
22.4
15
22.40
46.88%
2001
28.4
16
28.40
50.00%
2002
28.7
17
28.70
53.13%
2003
26.4
18
26.40
56.25%
2004
22.1
19
22.10
59.38%
2005
32.1
20
32.10
62.50%
2006
30.2
21
30.20
65.63%
2007
34.8
22
34.80
68.75%
2008
19.7
23
19.70
71.88%
2009
25
24
25.00
75.00%
2010
20.2
25
20.20
78.13%
2011
46.3
26
46.30
81.25%
2012
28.8
27
28.80
84.38%
2013
40.8
28
40.80
87.50%
2014
25.6
29
25.60
90.63%
2015
26.5
30
26.50
93.75%
2016
18
31
18.00
96.88%
Estadígrafos Nº Datos
31
Media
25.80
Desviacion
6.83
Asimetría
1.24
50.00 45.00 40.00 35.00 30.00
Parametros Gumbel
25.00
α
20.00
5.32
15.00 10.00 5.00
35.00 30.00 25.00 20.00 μ
22.72
T
P24max
5
30.71
10
34.70
25
39.75
50
43.49
100
47.21
15.00 10.00 5.00
0.00 0.00% 10.00% 20.00% 30.00% 40.00% 50.00% 60.00% 70.00% 80.00 Gumbel Teóri ca
DISTRIBUCION PROBALISTICA LOG-NORMAL
AÑO
P 24MAX
m
X
ln(x)
1986
19.5
1
19.5
2.97
1987
20
2
20
3.00
1988
24
3
24
3.18
1989
31.2
4
31.2
3.44
1990
35.4
5
35.4
3.57
1991
25
6
25
3.22
1992
20
7
20
3.00
1993
17.5
8
17.5
2.86
1994
21.1
9
21.1
3.05
1995
17.2
10
17.2
2.84
1996
24
11
24
3.18
1997
20.8
12
20.8
3.03
1998
23.4
13
23.4
3.15
1999
24.6
14
24.6
3.20
2000
22.4
15
22.4
3.11
2001
28.4
16
28.4
3.35
2002
28.7
17
28.7
3.36
2003
26.4
18
26.4
3.27
2004
22.1
19
22.1
3.10
2005
32.1
20
32.1
3.47
2006
30.2
21
30.2
3.41
2007
34.8
22
34.8
3.55
2008
19.7
23
19.7
2.98
2009
25
24
25
3.22
2010
20.2
25
20.2
3.01
2011
46.3
26
46.3
3.84
2012
28.8
27
28.8
3.36
2013
40.8
28
40.8
3.71
2014
25.6
29
25.6
3.24
2015
26.5
30
26.5
3.28
2016
18
31
18
2.89
50.00 45.00 40.00 35.00
Empíri co
50.00 45.00
Estadigrafos log
40.00
Datos
31
Media
3.22
Desviacion
0.24
30.00
Simetria
0.62
25.00
35.00
20.00 T
P 24max
5
30.75
10
34.24
25
38.41
50
41.36
100
44.22
15.00 10.00 5.00
0.00 0.00% 10.00% 20.00% 30.00% 40.00% 50.00% 60.00% 70.00% 80.00% 90.0
Teori co l og Norma l
DISTRIBUCION PROBABILISTICA LOG-PEARSON
AÑO
P 24MAX
i
X
Log(x)
1986
19.5
1
19.5
2.97
1987
20
2
20
3.00
1988
24
3
24
3.18
1989
31.2
4
31.2
3.44
1990
35.4
5
35.4
3.57
1991
25
6
25
3.22
1992
20
7
20
3.00
1993
17.5
8
17.5
2.86
1994
21.1
9
21.1
3.05
1995
17.2
10
17.2
2.84
1996
24
11
24
3.18
1997
20.8
12
20.8
3.03
1998
23.4
13
23.4
3.15
1999
24.6
14
24.6
3.20
2000
22.4
15
22.4
3.11
2001
28.4
16
28.4
3.35
2002
28.7
17
28.7
3.36
2003
26.4
18
26.4
3.27
2004
22.1
19
22.1
3.10
2005
32.1
20
32.1
3.47
2006
30.2
21
30.2
3.41
2007
34.8
22
34.8
3.55
2008
19.7
23
19.7
2.98
2009
25
24
25
3.22
2010
20.2
25
20.2
3.01
2011
46.3
26
46.3
3.84
2012
28.8
27
28.8
3.36
Empíri co
2013
40.8
28
40.8
3.71
2014
25.6
29
25.6
3.24
2015
26.5
30
26.5
3.28
2016
18
31
18
2.89
Estadigrafos Log(x)
50.00
Nº Datos
31
45.00
Media
3.22
40.00
Desviacion
0.244671125
Asimetria
0.6243658307
Parametro Pearson
35.00 30.00 25.00
Forma
10.2608121299
20.00
Escala
0.0763821451
15.00
Posicion
2.4361894394
10.00
T
P24Max
5
30.42
10
34.65
25
40.29
50
44.70
100
49.31
5.00
0.00 0.00% 10.00% 20.00% 30.00% 40.00% 50.00% 60.00%
Teori co l og Pears on
E
Gumbel
Error
Kolmogorov
16.11
16.00%
11.50
0.13
17.30
18.86%
7.31
0.13
18.14
45.53%
34.37
0.36
18.83
81.59%
153.08
0.69
19.43
91.17%
254.99
0.76
19.98
52.09%
25.18
0.33
20.50
18.86%
0.25
0.03
20.99
6.94%
12.15
0.18
21.46
25.75%
0.13
0.02
21.92
5.94%
22.28
0.25
22.37
45.53%
2.64
0.11
22.83
23.80%
4.11
0.14
23.28
41.45%
0.01
0.01
23.74
49.51%
0.74
0.06
24.20
34.55%
3.24
0.12
24.68
70.87%
13.87
0.21
25.16
72.22%
12.51
0.19
25.67
60.57%
0.54
0.04
26.19
32.48%
16.74
0.27
26.74
84.21%
28.70
0.22
27.33
78.23%
8.26
0.13
27.95
90.17%
46.93
0.21
28.62
17.12%
79.60
0.55
29.36
52.09%
18.98
0.23
30.17
20.05%
99.42
0.58
31.09
98.81%
231.29
0.18
32.16
72.66%
11.29
0.12
33.44
96.70%
54.15
0.09
35.06
55.84%
89.58
0.35
37.31
61.14%
116.89
0.33
41.09
8.81%
533.05
0.88
43.52
0.88
0% 40.00% 50.00% 60.00% 70.00% 80.00% 90.00% 100.00% Gumbel Teóri ca
Empíri co
Alexeef
log Normal
Error
2.40%
15.43
15.39%
16.59
5.60%
16.96
17.97%
9.22
8.80%
17.97
43.20%
36.33
12.00%
18.77
81.62%
154.42
15.20%
19.46
92.18%
254.04
18.40%
20.08
49.83%
24.22
21.60%
20.65
17.97%
0.42
24.80%
21.19
7.19%
13.59
28.00%
21.70
24.27%
0.36
31.20%
22.20
6.27%
24.98
34.40%
22.68
43.20%
1.73
37.60%
23.16
22.48%
5.59
40.80%
23.64
39.18%
0.06
44.00%
24.12
47.20%
0.23
47.20%
24.60
32.52%
4.84
50.40%
25.09
69.74%
10.97
53.60%
25.59
71.22%
9.70
56.80%
26.10
58.64%
0.09
60.00%
26.63
30.56%
20.49
63.20%
27.18
84.55%
24.22
66.40%
27.76
77.88%
5.96
69.60%
28.37
91.11%
41.31
72.80%
29.03
16.40%
87.08
76.00%
29.75
49.83%
22.54
79.20%
30.54
19.06%
106.86
82.40%
31.43
99.40%
221.22
85.60%
32.46
71.70%
13.37
88.80%
33.70
97.71%
50.44
92.00%
35.29
53.69%
93.97
95.20%
37.61
59.24%
123.38
98.40%
42.29
8.90%
590.12
00% 50.00% 60.00% 70.00% 80.00% 90.00% 100.00%
og Norma l
Empíri co
Hanzen
Logg Pearson
Error
1.61%
16.28
14.76%
10.38
4.84%
17.51
18.01%
6.20
8.06%
18.29
47.23%
32.62
11.29%
18.91
82.39%
150.95
14.52%
19.46
91.16%
254.07
17.74%
19.96
53.98%
25.40
20.97%
20.43
18.01%
0.18
24.19%
20.88
4.80%
11.43
27.42%
21.32
25.80%
0.05
30.65%
21.75
3.81%
20.70
33.87%
22.18
47.23%
3.32
37.10%
22.61
23.61%
3.27
40.32%
23.04
42.94%
0.13
43.55%
23.48
51.35%
1.25
46.77%
23.94
35.54%
2.36
50.00%
24.40
72.39%
15.99
53.23%
24.88
73.66%
14.56
56.45%
25.39
62.45%
1.02
59.68%
25.92
33.28%
14.58
62.90%
26.48
84.80%
31.57
66.13%
27.08
79.29%
9.72
69.35%
27.73
90.25%
49.94
72.58%
28.44
16.03%
76.47
75.81%
29.23
53.98%
17.92
79.03%
30.12
19.37%
98.50
82.26%
31.15
98.43%
229.40
85.48%
32.38
74.08%
12.82
88.71%
33.91
96.31%
47.46
91.94%
35.96
57.76%
107.32
95.16%
39.10
63.01%
158.77
98.39%
46.11
6.76%
790.19 46.89
% 20.00% 30.00% 40.00% 50.00% 60.00% 70.00% 80.00% 90.00% 100.00%
Teori co l og Pears on
Empíri co
FORMACION DE SERIES ESTADISTICAS P 24MAX (x i x) (x i x) 2 19.5 6.30 39.65 20 5.80 33.60 24 1.80 3.23 31.2 5.40 29.19 35.4 9.60 92.22 25 0.80 0.63 20 5.80 33.60 17.5 8.30 68.84 21.1 4.70 22.06 17.2 8.60 73.90 24 1.80 3.23 20.8 5.00 24.97 23.4 2.40 5.74 24.6 1.20 1.43 22.4 3.40 11.54 28.4 2.60 6.78 28.7 2.90 8.43 26.4 0.60 0.36 22.1 3.70 13.67 32.1 6.30 39.73 30.2 4.40 19.39 34.8 9.00 81.06 19.7 6.10 37.17 25 0.80 0.63 20.2 5.60 31.32 46.3 20.50 420.38 28.8 3.00 9.02 40.8 15.00 225.10 25.6 0.20 0.04 26.5 0.70 0.49 18 7.80 60.79 Σ 799.7 160.08 1398.21 DATO MAX 46.3 DATO MIN 17.2 1. MEDIADAS DE VALOR CENTRAL N 31 MEDIA 25.80 MEDIANA 24.60 2. MEDIDAS DE DISPERSION OM FLUCTUACION DESVIACION MEDIA 5.16378772 DESVIACION ESTANDAR 6.82693117
Nº 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
AÑO 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
(x i x ) 3
-249.66 -194.79 -5.80 157.75 885.63 -0.51 -194.79 -571.12 -103.61 -635.34 -5.80 -124.76 -13.77 -1.71 -39.19 17.64 24.47 0.22 -50.52 250.43 85.37 729.78 -226.62 -0.51 -175.31 8619.19 27.09 3377.18 -0.01 0.35 -473.96 11107.32
( xi x ) 4
144590.06 160000.00 331776.00 172970.16 68765.10 390625.00 160000.00 93789.06 198211.94 87521.31 331776.00 187177.37 299821.95 366218.63 251763.10 289380.18 274696.07 402862.98 238544.33 144398.81 209474.56 79537.12 150613.85 390625.00 166496.64 785.21 269927.89 13572.41 429496.73 396504.67 104976.00 6806898.14
VARIANZA 45.103538 RANGO 29.1 3. FORMAS DE DISTRIBUCION COEF. ASIMETRIA 1.24387046 Ca>0 Entonces esta sesgada a la derecha COEF. CURTOSIS 104.936005 Cku>0 entonces la desviacion es Leptocurtica
Nº 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
X 19.5 20 24 31.2 35.4 25 20 17.5 21.1 17.2 24 20.8 23.4 24.6 22.4 28.4 28.7 26.4 22.1 32.1 30.2 34.8 19.7 25 20.2 46.3 28.8 40.8 25.6 26.5 18
Estadigrafos Datos 31 Media 25.80 Desviacion 6.83 Asimetria 1.24 Parámetros Forma α 2.59 Escala β 4.25
Ln(x) 2.97 3.00 3.18 3.44 3.57 3.22 3.00 2.86 3.05 2.84 3.18 3.03 3.15 3.20 3.11 3.35 3.36 3.27 3.10 3.47 3.41 3.55 2.98 3.22 3.01 3.84 3.36 3.71 3.24 3.28 2.89
30.00 3.23 3.23 3.24 0.38 5.22
Weibull 3.13% 6.25% 9.38% 12.50% 15.63% 18.75% 21.88% 25.00% 28.13% 31.25% 34.38% 37.50% 40.63% 43.75% 46.88% 50.00% 53.13% 56.25% 59.38% 62.50% 65.63% 68.75% 71.88% 75.00% 78.13% 81.25% 84.38% 87.50% 90.63% 93.75% 96.88%
DISTRIBUCIONES Normal Log Normal 17.82% 46.78% 19.79% 47.10% 39.62% 49.35% 78.57% 52.59% 92.02% 54.14% 45.35% 49.85% 19.79% 47.10% 11.21% 45.45% 24.57% 47.76% 10.40% 45.24% 39.62% 49.35% 23.21% 47.58% 36.28% 49.03% 43.04% 49.65% 30.94% 48.49% 64.85% 51.43% 66.47% 51.56% 53.52% 50.52% 29.41% 48.33% 82.21% 52.94% 74.05% 52.19% 90.64% 53.93% 18.59% 46.91% 45.35% 49.85% 20.62% 47.22% 99.87% 57.42% 67.00% 51.60% 98.60% 55.88% 48.85% 50.14% 54.10% 50.57% 12.67% 45.80%
ΔMAX Δcrit
Pearson 0.00% 19.65% 47.31% 81.36% 90.75% 53.60% 19.65% 5.33% 27.27% 4.12% 47.31% 25.16% 43.34% 51.14% 36.46% 71.23% 72.49% 61.59% 34.35% 83.89% 78.16% 89.75% 17.65% 53.60% 21.01% 98.74% 72.90% 96.47% 57.15% 62.12% 7.65%
Log Pearson 65.49% 65.82% 68.03% 70.84% 72.07% 68.49% 65.82% 64.05% 66.49% 63.81% 68.03% 66.31% 67.73% 68.31% 67.22% 69.88% 69.99% 69.09% 67.06% 71.13% 70.51% 71.91% 65.63% 68.49% 65.95% 74.45% 70.02% 73.37% 68.75% 69.13% 64.43%
0.89 0.24
Como ΔMAX es mayor a Δcrit ENTONCES EL AJUSTE NO
Como ΔMAX es mayor a Δcrit ENTONCES EL AJUSTE NO Posicion x₀ 14.82 Parámetros α 5.32 betaβ 22.72
1.42 2.52 1.78
Gumbel 16.00% 18.86% 45.53% 81.59% 91.17% 52.09% 18.86% 6.94% 25.75% 5.94% 45.53% 23.80% 41.45% 49.51% 34.55% 70.87% 72.22% 60.57% 32.48% 84.21% 78.23% 90.17% 17.12% 52.09% 20.05% 98.81% 72.66% 96.70% 55.84% 61.14% 8.81%
KOLMOGOROV Normal Log Normal Pearson Log Pearson 0.147 0.437 0.031 0.624 0.135 0.408 0.134 0.596 0.302 0.400 0.379 0.587 0.661 0.401 0.689 0.583 0.764 0.385 0.751 0.564 0.266 0.311 0.349 0.497 0.021 0.252 0.022 0.439 0.138 0.205 0.197 0.390 0.036 0.196 0.009 0.384 0.209 0.140 0.271 0.326 0.052 0.150 0.129 0.337 0.143 0.101 0.123 0.288 0.043 0.084 0.027 0.271 0.007 0.059 0.074 0.246 0.159 0.016 0.104 0.203 0.149 0.014 0.212 0.199 0.133 0.016 0.194 0.169 0.027 0.057 0.053 0.128 0.300 0.110 0.250 0.077 0.197 0.096 0.214 0.086 0.084 0.134 0.125 0.049 0.219 0.148 0.210 0.032 0.533 0.250 0.542 0.062 0.296 0.251 0.214 0.065 0.575 0.309 0.571 0.122 0.186 0.238 0.175 0.068 0.174 0.328 0.115 0.144 0.111 0.316 0.090 0.141 0.418 0.405 0.335 0.219 0.396 0.432 0.316 0.246 0.842 0.511 0.892 0.324 0.842 0.511 0.892 0.624
NTONCES EL AJUSTE NO ES BUENO…
Gumbel 0.129 0.126 0.362 0.691 0.755 0.333 0.030 0.181 0.024 0.253 0.112 0.137 0.008 0.058 0.123 0.209 0.191 0.043 0.269 0.217 0.126 0.214 0.548 0.229 0.581 0.176 0.117 0.092 0.348 0.326 0.881 0.881
TABLA DE RESUMEN Tr [años] 5 10 25 50 100
Gumbel 30.71 34.70 39.75 43.49 47.21
P 24[mm] Log Normal 30.75 34.24 38.41 41.36 44.22
Log Pearson 30.42 34.65 40.29 44.70 49.31
PRECIPITACIONES DE LA CUENCA MAS CORRECCION Tr [años]
P Max diaria [mm]
5
34.70
10
39.21
25
44.92
50
49.15
100
53.35
como solo se trabajara con la estacion los pinos, solo se considerara la prescitacion máxima de dicha
a la prescitacion máxima de dicha estacion
Cuadro1_Guia para la selección de per No.
TIPO DE PROYECTO DE OBRA 1 2 3 4 5 6 7 8 9 10 11 12
drenaje urbano bajo riesgo (hasta 100 dranaje urbano mediano riesgo (mas de 1 drenaje vial aliviadero principal (presas) drenaje vial diques longitudinales (mediano riesg drenaje urbano alto riesgo (mas de 100 desarrollo de zona de inundacion diseño de puentes (pilares) diques longitudinales (alto riesgo) aliviadero de emergemcia (presas) Hidrograma de borde libre (presa de cla
ro1_Guia para la selección de periodos de retorno TIPO DE PROYECTO DE OBRA
aje urbano bajo riesgo (hasta 100 ha) urbano mediano riesgo (mas de 100ha) drenaje vial aliviadero principal (presas) drenaje vial ues longitudinales (mediano riesgo) je urbano alto riesgo (mas de 100 ha) desarrollo de zona de inundacion diseño de puentes (pilares) iques longitudinales (alto riesgo) liviadero de emergemcia (presas) grama de borde libre (presa de clase c)
PERIODO DE RETORNO(años) 5 a 10 25 a 50 25 a 50 25 a 100 50 a 100 50 a 51 a 100 100 100 a 500 200 a 1000 100 a 10000 (PMP) 10000 (PMP)
CURVAS DE PORECIPITACION-DURACION-FRECUENCIA Tr [años] P Max diaria [mm] t 5 34.70 T 10 39.21 25 44.92 50 49.15 100 53.35
P 0 , 21 Ln T 0 , 52 0 , 54 t 0 , 25 0 ,50 P1060 2 T 100 años 5 t 120 Minutos
si
coeficiente Espildora Ce= P60 min=
Tr [años] 5 10 25 50 100
5 2.56 3.00 3.57 4.00 4.44
10 3.83 4.48 5.34 5.99 6.64
4.04 9.71
15 4.69 5.48 6.53 7.33 8.12
20 5.35 6.25 7.45 8.36 9.27
25 5.89 6.89 8.21 9.21 10.21
t [min] 30 40 6.36 7.15 7.44 8.36 8.87 9.96 9.95 11.17 11.02 12.39
60 8.35 9.77 11.64 13.06 14.48
80 9.29 10.86 12.94 14.52 16.09
100 10.06 11.76 14.02 15.73 17.43
CURVA PDF 45.00
Precipitacion [mm]
40.00 35.00 30.00 25.00 20.00 15.00 10.00 5.00 0.00
0
200
400
600
800
1000
1200
1400
1600
Tiempo t [min]
t [min] Tr [años]
5
10
15
20
25
30
40
60
80
100
5
30.73
23.00
18.75
16.04
14.14
12.72
10.72
8.35
6.96
6.03
10
35.94
26.90
21.93
18.76
16.54
14.88
12.54
9.77
8.15
7.06
25
42.83
32.06
26.13
22.36
19.71
17.73
14.94
11.64
9.71
8.41
50
48.05
35.96
29.31
25.08
22.11
19.89
16.76
13.06
10.89
9.44
100
53.26
39.86
32.49
27.80
24.51
22.05
18.58
14.48
12.07
10.46
60.00 50.00 40.00
60.00 50.00 40.00 30.00 20.00 10.00 0.00
0
200
400
600
800
1000
Analisis de correlacion multiple
5 min
10 min
15 min
20 min
25 min
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
0.70
1.49
1.04
1.04
0.49
0.49
0.49
1.00
0.70
1.56
1.56
1.09
1.00
0.49
0.70
1.40
0.70
1.63
2.28
1.14
1.95
0.49
0.98
1.70
0.70
1.68
2.86
1.18
2.89
0.49
1.19
2.00
0.70
1.73
3.45
1.21
4.00
0.49
1.40
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.00
1.36
0.95
1.36
0.49
1.00
0.70
1.00
1.00
1.43
1.43
1.43
1.00
1.00
1.00
1.40
1.00
1.51
2.11
1.51
1.95
1.00
1.40
1.70
1.00
1.56
2.64
1.56
2.89
1.00
1.70
2.00
1.00
1.60
3.20
1.60
4.00
1.00
2.00
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.18
1.27
0.89
1.50
0.49
1.38
0.82
1.00
1.18
1.34
1.34
1.58
1.00
1.38
1.18
1.40
1.18
1.42
1.98
1.67
1.95
1.38
1.64
1.70
1.18
1.47
2.49
1.73
2.89
1.38
2.00
2.00
1.18
1.51
3.02
1.78
4.00
1.38
2.35
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.30
1.21
0.84
1.57
0.49
1.69
0.91
1.00
1.30
1.27
1.27
1.66
1.00
1.69
1.30
1.40
1.30
1.35
1.89
1.76
1.95
1.69
1.82
1.70
1.30
1.40
2.38
1.82
2.89
1.69
2.21
2.00
1.30
1.44
2.89
1.88
4.00
1.69
2.60
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.40
1.15
0.80
1.61
0.49
1.95
0.98
1.00
1.40
1.22
1.22
1.70
1.00
1.95
1.40
1.40
1.40
1.29
1.81
1.81
1.95
1.95
1.95
1.70
1.40
1.34
2.28
1.88
2.89
1.95
2.38
1200
1400
1600
25 min
30 min
40 min
60 min
80 min
100 min
120 min
1440 min
2.00
1.40
1.39
2.78
1.94
4.00
1.95
2.80
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.48
1.10
0.77
1.63
0.49
2.18
1.03
1.00
1.48
1.17
1.17
1.73
1.00
2.18
1.48
1.40
1.48
1.25
1.75
1.84
1.95
2.18
2.06
1.70
1.48
1.30
2.21
1.92
2.89
2.18
2.51
2.00
1.48
1.34
2.69
1.98
4.00
2.18
2.95
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.60
1.03
0.72
1.65
0.49
2.57
1.12
1.00
1.60
1.10
1.10
1.76
1.00
2.57
1.60
1.40
1.60
1.17
1.64
1.88
1.95
2.57
2.24
1.70
1.60
1.22
2.08
1.96
2.89
2.57
2.72
2.00
1.60
1.27
2.54
2.03
4.00
2.57
3.20
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.78
0.92
0.64
1.64
0.49
3.16
1.24
1.00
1.78
0.99
0.99
1.76
1.00
3.16
1.78
1.40
1.78
1.07
1.49
1.90
1.95
3.16
2.49
1.70
1.78
1.12
1.90
1.98
2.89
3.16
3.02
2.00
1.78
1.16
2.32
2.06
4.00
3.16
3.56
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
1.90
0.84
0.59
1.60
0.49
3.62
1.33
1.00
1.90
0.91
0.91
1.73
1.00
3.62
1.90
1.40
1.90
0.99
1.38
1.88
1.95
3.62
2.66
1.70
1.90
1.04
1.76
1.97
2.89
3.62
3.23
2.00
1.90
1.08
2.16
2.06
4.00
3.62
3.81
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
2.00
0.78
0.55
1.56
0.49
4.00
1.40
1.00
2.00
0.85
0.85
1.70
1.00
4.00
2.00
1.40
2.00
0.92
1.29
1.85
1.95
4.00
2.80
1.70
2.00
0.97
1.66
1.95
2.89
4.00
3.40
2.00
2.00
1.02
2.04
2.04
4.00
4.00
4.00
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
2.08
0.73
0.51
1.52
0.49
4.32
1.45
1.00
2.08
0.80
0.80
1.66
1.00
4.32
2.08
1.40
2.08
0.87
1.22
1.82
1.95
4.32
2.91
1.70
2.08
0.92
1.57
1.92
2.89
4.32
3.53
2.00
2.08
0.97
1.94
2.01
4.00
4.32
4.16
X1
X2
Y
X1*Y
X2*Y
X1^2
X2^2
X1*X2
0.70
3.16
-0.01
-0.01
-0.03
0.49
9.98
2.21
1.00
3.16
0.06
0.06
0.19
1.00
9.98
3.16
1.40
3.16
0.14
0.19
0.43
1.95
9.98
4.42
1440 min
Suma
1.70
3.16
0.19
0.32
0.59
2.89
9.98
5.37
2.00
3.16
0.23
0.46
0.73
4.00
9.98
6.32
81.55
97.86
67.14
93.65
95.88
123.95
181.74
133.01
60.00
81.55
97.86
81.55
123.95
133.01
97.86
133.01
181.74
a0 *
a1
67.14 =
93.65
a2
95.88
a0
1.87
a1
=
a2
0.18 -0.62
K=
74.68
a=
0.18
b=
0.62
T= t=
10 años 60 min
120 10.72 12.54 14.94 16.76 18.58
1440 23.54 27.53 32.81 36.80 40.80
120
1440
5.36
0.98
6.27
1.15
7.47
1.37
8.38
1.53
9.29
1.70
00
1400
1600
TORMENTA DE DISEÑO METODO DEL BLOQUE ALTERNO
T. Diseño [años]
10 At=
k= 74.68
10 intervalos de 10min
n=
a= 0.18
�=𝑇/𝐴�
1
b= 0.62
Intervalos
Duracion [min]
Intensidad [mm/hr]
Profundidad [mm]
Profundidad Acumulada [mm]
Profundidad Incrimentada [mm]
Tiempo [min]
Precipitacion [mm]
Ap
1
10
27.62
4.60
4.60
4.60
0-10
0.48
0.031
2
20
18.03
6.01
10.62
1.41
10-20
0.56
0.117
3
30
14.05
7.03
17.64
1.02
20-30
0.70
0.260
4
40
11.77
7.85
25.49
0.82
30-40
1.02
0.571
5
50
10.26
8.55
34.04
0.70
40-50
4.60
4.160
6
60
9.17
9.17
43.22
0.62
50-60
1.41
0.964
7
70
8.34
9.74
52.96
0.56
60-70
0.82
0.379
8
80
7.69
10.25
63.20
0.51
70-80
0.62
0.178
9
90
7.15
10.72
73.93
0.48
80-90
0.51
0.070
10
100
6.70
11.17
85.10
0.44
90-100
0.44
0.000
85.10 4.500 4.000 3.500 3.000 2.500 2.000 1.500 1.000 0.500 0.000
1
2
3
4
5
6
7
8
9
10
i=(𝐾∗𝑇^�)/�^� i=(74,6∗𝑇^0,18)/�^0,62
Calculos de precipitacion neta Calculo del numero de curva N
Tipo de Suelo Cambisoles Leptosoles con Inclusion de Flubisoles y
1
Cn
Uso de Suelo
Area [km²]
Suelo Hidrologico
CN (II)
CN (I)
CN (III)
Agricola y Barbechos
0.049938
B
71
51.92
85.54
P Neta
Perdidas
71
S
103.75 Infiltracion Potencial
Ia
20.75 Perdidas Iniciales
Duracion [min]
Profundidad d [mm]
Profundidad Acumulada [mm]
10
0.48
0.48
0.00
0.48
20
0.56
1.04
4.62
-3.59
30
0.70
1.74
4.26
-2.52
40
1.02
2.76
3.78
-1.02
50
4.60
7.36
1.98
5.37
60
1.41
8.77
1.56
7.20
70
0.82
9.59
1.35
8.24
80
0.62
10.21
1.19
9.02
90
0.51
10.72
1.07
9.65
100
0.44
11.17
0.97
10.19
Profundidad Acumulada y Perdidas 14.00 12.00 10.00 8.00 6.00 4.00 2.00 0.00 -2.00 -4.00 -6.00
1
2
3
4
5
6
7
8
9
10
as
8
9
10
Hidrograma triangular Unitario Area[Km2] 0.04994 H[m] 599.11 Lcp [km] 6.13 Sc[m/m] 0.10 tc[hrs] 0.66 tc[min] 39.36 tr[hrs] 0.39 de 1.62 tp[hrs] 1.20 tb[hrs] 3.21 Pe[mm] 1.00 Qp[m3/seg]
t[h] Q[m3/seg]
0 0
1.20 0.01
3.21 0
0.01
Hidrograma sintetico t/tp
Q/Qp
t
Q
0
0
0.00
0
0.1
0.015
0.12
0.00
0.2
0.075
0.24
0.00
0.3
0.16
0.36
0.00
0.007
0.4
0.28
0.48
0.00
0.006
0.5
0.43
0.60
0.00
0.6
0.6
0.72
0.01
0.7
0.770
0.84
0.01
0.8
0.890
0.96
0.01
0.003
0.9
0.970
1.08
0.01
0.002
1
1.000
1.20
0.01
1.1
0.980
1.32
0.01
1.2
0.920
1.44
0.01
1.3
0.840
1.56
0.01
1.4
0.750
1.68
0.01
0.2
1.5
0.650
1.81
0.01
0.18
1.6
0.570
1.93
0.00
1.8
0.430
2.17
0.00
2
0.320
2.41
0.00
0.14
2.2
0.240
2.65
0.00
0.12
2.4
0.180
2.89
0.00
0.1
2.6
0.130
3.13
0.00
2.8
0.098
3.37
0.00
3
0.075
3.61
0.00
0.06
3.5
0.036
4.21
0.00
0.04
4
0.018
4.81
0.00
4.5
0.009
5.42
0.00
5
0.004
6.02
0.00
0.01 0.009 0.008
0.005 0.004
0.001 0
0
1
2
3
4
5
1.00
2.00
3.00
4.00
5.00
0.16
0.08
0.02 0 0.00
Avenida Maxima
Avenida Maxima Duracion[minPneta 10 20 30 40 50 60 70 80 90 100
Duracion [min]
0.00 4.62 4.26 3.78 1.98 1.56 1.35 1.19 1.07 0.97
10
20
30
40 Pneta
t
Q
0.00
4.62
4.26
3.78
0.00
0.00
0
0
0
0
0.12
0.00
0
0.00
0
0
0.24
0.00
0
0.00
0.00
0
0.36
0.00
0
0.01
0.01
0.01
0.48
0.00
0
0.01
0.01
0.01
0.60
0.00
0
0.02
0.02
0.01
0.72
0.01
0
0.02
0.02
0.02
0.84
0.01
0
0.03
0.03
0.03
0.96
0.01
0
0.04
0.03
0.03
1.08
0.01
0
0.04
0.04
0.03
1.20
0.01
0
0.04
0.04
0.03
1.32
0.01
0
0.04
0.04
0.03
1.44
0.01
0
0.04
0.03
0.03
1.56
0.01
0
0.03
0.03
0.03
1.68
0.01
0
0.03
0.03
0.02
1.81
0.01
0
0.03
0.02
0.02
1.93
0.00
0
0.02
0.02
0.02
2.17
0.00
0
0.02
0.02
0.01
2.41
0.00
0
0.01
0.01
0.01
2.65
0.00
0
0.01
0.01
0.01
2.89
0.00
0
0.01
0.01
0.01
3.13
0.00
0
0.01
0.00
0.00
3.37
0.00
0
0.00
0.00
0.00
3.61
0.00
0
0.00
0.00
0.00
4.21
0.00
0
0.00
0.00
0.00
4.81
0.00
0
0.00
0.00
0.00
5.42
0.00
0
0.00
0.00
0.00
6.02
0.00
0
0.00
0.00
0.00
Avenida Max [m3/seg]
3
4
5
6
7
3.00
4.00
5.00
6.00
7.00
Avenida Maxima 50
60
70
80
90
100
Pneta
Q [m3/s]
1.98
1.56
1.35
1.19
1.07
0.97
0
0
0
0
0
0
0
0
0
0
0
0
0
0.00
0
0
0
0
0
0
0.01
0
0
0
0
0
0
0.02
0.00
0
0
0
0
0
0.04
0.01
0.01
0
0
0
0
0.06
0.01
0.01
0.01
0
0
0
0.09
0.01
0.01
0.01
0.01
0
0
0.12
0.02
0.01
0.01
0.01
0.01
0
0.15
0.02
0.01
0.01
0.01
0.01
0.01
0.17
0.02
0.01
0.01
0.01
0.01
0.01
0.18
0.02
0.01
0.01
0.01
0.01
0.01
0.18
0.02
0.01
0.01
0.01
0.01
0.01
0.17
0.01
0.01
0.01
0.01
0.01
0.01
0.15
0.01
0.01
0.01
0.01
0.01
0.01
0.13
0.01
0.01
0.01
0.01
0.01
0.01
0.12
0.01
0.01
0.01
0.01
0.01
0.00
0.10
0.01
0.01
0.00
0.00
0.00
0.00
0.08
0.01
0.00
0.00
0.00
0.00
0.00
0.06
0.00
0.00
0.00
0.00
0.00
0.00
0.04
0.00
0.00
0.00
0.00
0.00
0.00
0.03
0.00
0.00
0.00
0.00
0.00
0.00
0.02
0.00
0.00
0.00
0.00
0.00
0.00
0.02
0.00
0.00
0.00
0.00
0.00
0.00
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
Avenida Max [m3/seg]
0.18 Q [m3/s]
0.18
DURACION DE TORMENTA TIEMPO DE CONCENTRACION Los resultados de estas formulas difieren alarmantemente .Cada una de ellas fue obtenida . pensando en cuencas de características determinadas. Por tanto deben manejarse con cuidado pensando en cuencas de características determinadas. Por tanto deben manejarse con cuidado Teniendo los datos físicos de la cuenca a estudiar, procedemos a realizar el cálculo del tiempo de concentración Para este calculo usaremos los siguientes parametros los cuales los calculamos anteriormente
FORMULA DE KIRPICH
FORMULA DE CALIFOR
�_𝑐=3,98∗(𝐿_𝑐𝑝/ (𝑆_𝑝^0,5 ))^0,77
tc=0,01954∗((𝐿_𝑐𝑝^
Donde:
t_c= Tiempo de concentracion L_cp= Longitud del cauce principal S_p= Pendiente media Lcp= S=
10.410 0.076
Km
t_c=
65.082
min
Obs: Como se puede observar el tiempo de concentracion que mejor se asemeja son 2 la del méto Willians y la introduccion carreteras - España, no tomamos de este ultimo porque justamente los es determinar esta formula fueron realizados en España y no así en nuestro pais Bolivia, por tanto el concentración a considerar es:
t_c=
TIEMPO DE RETORNO T= 20 años q/Q= 15 % c= 60 % n= 0.013 L= 107.247 m Coefic. de retardo m= γ= 1000 kg/m3 Țmin= 1.5 Pa A= 0.134 Ha
0.02
59.106
min
Zo= Z1=
S=(𝑍𝑜−𝑍 1)/𝐿=
3796.246 m 3791.583 m
S= 0.0434790717 m
�𝑒=1,44∗ 〖 ((𝑚∗𝐿)/𝑆^( 1⁄2) ) 〗 ^0,467
te= 4.2765634997 min
��=𝐿/�
V=
1.766 m/s
tr= 1.0121460929 min
�=�𝑐=�𝑒+��
tc= 5.2887095926 min
I=103,37*(𝑇^0,2 09/�^0,693 )
I= 66.251530463 mm/hr
Caudal
Q=C*I*A
Q= 14.796175137 l/s Calculo del diametro (tub lleno)
Q=1/�*𝑆^(1⁄2)*� ^(2⁄3)*A
Q=1/�*𝑆^(1⁄2)*( 〖�� /4) 〗 ^(2⁄3)*(π∗ 〖� �〖 ^
R=𝐷𝑐/ 4
A=(π∗𝐷 ^2)/4
Dc= 0.11264518 m -8.636267E-08 Dc= 11.2645176 cm 2)/4 Asumir Diametro comercial 112.645176 mm Dc= 0.15 m Para flujo a tubo parcialmente lleno:
R=𝐷/4*(1senѲ/Ѳ)
A=𝐷^2/8*(ѲsenѲ)
Calculando el caudal con:
Q=1/�*𝑆^(1⁄2)*(𝐷/4∗(1−𝑠𝑒�Ѳ/Ѳ))^(2/3)*( �^2/8 "*(Ѳ-senѲ))"
V=1/�*𝑆^(1⁄2)*(𝐷/4∗(1−𝑠𝑒�Ѳ/ Ѳ))^(2/3)
Ѳ= 3.06083136 -4.566E-09 Ѳ= 175.372719
V= 1.76529598 m/s
na de ellas fue obtenida . manejarse con cuidado manejarse con cuidado
r el cálculo del tiempo de
culamos anteriormente
ORMULA DE CALIFORNIA
FORMULA BUREAU
tc=0,01954∗((𝐿_𝑐𝑝^3)/∆𝐻)^0,385
Donde:
tc=0,01949∗(𝐿^1,155/(∆𝐻^0,385 ))
Donde:
t_c= Tiempo de concentracion ∆H= Diferenia de cotas L_cp= Longitud del cauce principal ∆H= Lcp=
1020 10.410
t_c=
59.258
t_c= Tiempo de concentracion ∆H= Diferenia de cotas L_cp= Longitud del cauce principal
Km
∆H= Lcp=
1020 10.410
min
t_c=
59.106
asemeja son 2 la del método de Bransby o porque justamente los estudios para o pais Bolivia, por tanto el tiempo de
rad º
^1,155/(∆𝐻^0,385 ))
empo de concentracion iferenia de cotas ongitud del cauce principal
Km min
n= m= T= c= q/Q=
0.013 0.02 20 años 0.6 0.15
PRIMERA ITERACIÓN TRAMO
TUBO
123174285610 711 8913 10 14 11 12 13 14 -
TTTTTTTTTTTTTTTTTTTTTT-
2 3 6 4 4 5 5 5 6 9 7 8 8 9 12 10 11 11 12 15 14 15
PRIMERA ITERACIÓN
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.000 1.787 4.275 6.063 60.683 13.547 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.58 3785.75 3790.38 3784.55 0.0574 1.000 1.692 3.907 5.599 63.869 75.932 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.000 1.031 4.558 5.589 63.942 94.649 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 1.000 1.003 5.414 6.416 58.509 17.874 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.000 0.983 3.804 4.787 70.637 11.066 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 1.000 1.788 4.056 5.844 62.132 61.081 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.000 1.010 3.742 4.752 70.966 18.047 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.000 0.988 3.274 4.261 76.121 19.627 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 1.000 1.725 4.100 5.825 62.263 120.897 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.000 0.967 5.276 6.243 59.549 221.884 58.540 58.540 0.183 0.183 3797.06 3797.23 3797.06 3796.77 3795.86 3795.57 0.0050 1.000 0.976 5.353 6.328 59.031 18.034 106.858 165.398 0.313 0.496 3797.23 3792.56 3796.77 3792.56 3795.57 3791.36 0.0394 1.000 1.781 4.369 6.150 60.128 49.691 58.435 58.435 0.157 0.157 3792.57 3792.56 3792.57 3792.28 3791.37 3791.08 0.0050 1.000 0.974 5.346 6.320 59.082 15.443 104.057 327.890 0.268 0.921 3792.56 3785.42 3792.28 3785.42 3791.08 3784.22 0.0659 1.000 1.734 3.826 5.560 64.151 98.427 59.530 1165.830 0.182 3.339 3785.42 3785.50 3785.42 3785.12 3784.22 3783.92 0.0050 1.000 0.992 5.373 6.365 58.810 327.242 59.390 59.390 0.176 0.176 3798.00 3797.06 3798.00 3797.06 3796.80 3795.86 0.0158 1.000 0.990 4.109 5.099 67.830 19.840 107.432 166.822 0.262 0.438 3797.06 3792.57 3797.06 3792.57 3795.86 3791.37 0.0418 1.000 1.791 4.320 6.110 60.377 44.045 59.284 59.284 0.152 0.152 3792.90 3792.57 3792.90 3792.57 3791.70 3791.37 0.0056 1.000 0.988 5.240 6.228 59.642 15.121 105.359 331.465 0.262 0.852 3792.57 3785.50 3792.57 3785.50 3791.37 3784.30 0.0671 1.000 1.756 3.833 5.589 63.944 90.802 59.247 1556.542 0.175 4.365 3785.50 3785.00 3785.12 3784.82 3783.92 3783.62 0.0051 1.000 0.987 5.355 6.343 58.944 428.860 107.044 107.044 0.318 0.318 3798.00 3792.90 3798.00 3792.90 3796.80 3791.70 0.0476 1.000 1.784 4.182 5.967 61.308 32.519 105.585 212.629 0.310 0.628 3792.90 3785.00 3792.90 3784.82 3791.70 3783.62 0.0765 1.000 1.760 3.720 5.480 64.754 67.813
TRAMO
TUBO
123174285610 711 8913 10 14 11 12 13 14 -
TTTTTTTTTTTTTTTTTTTTTT-
2 3 6 4 4 5 5 5 6 9 7 8 8 9 12 10 11 11 12 15 14 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.727 1.035 4.275 5.310 66.079 14.752 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.59 3785.75 3790.39 3784.55 0.0575 2.850 0.594 3.906 4.500 73.506 87.390 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.630 0.632 4.558 5.190 67.056 99.258 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 0.814 1.233 5.414 6.646 57.200 17.475 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.265 0.777 3.804 4.581 72.665 11.384 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 2.709 0.660 4.056 4.716 71.319 70.113 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.485 0.680 3.742 4.422 74.327 18.902 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.861 0.531 3.274 3.805 81.879 21.112 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 3.028 0.570 4.100 4.670 71.773 139.364 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.542 0.627 5.276 5.903 61.732 230.017 58.540 58.540 0.183 0.183 3797.06 3797.23 3797.06 3796.77 3795.86 3795.57 0.0050 0.813 1.200 5.353 6.553 57.721 17.634 106.858 165.398 0.313 0.496 3797.23 3792.56 3796.77 3792.56 3795.57 3791.36 0.0394 2.282 0.780 4.369 5.149 67.401 55.701 58.435 58.435 0.157 0.157 3792.57 3792.56 3792.57 3792.28 3791.37 3791.08 0.0050 0.788 1.236 5.346 6.582 57.557 15.044 104.057 327.890 0.268 0.921 3792.56 3785.42 3792.28 3785.42 3791.08 3784.22 0.0659 3.305 0.525 3.826 4.351 75.112 115.244 59.530 1165.830 0.182 3.339 3785.42 3785.50 3785.42 3785.12 3784.22 3783.92 0.0050 1.655 0.599 5.373 5.973 61.267 340.918 59.390 59.390 0.176 0.176 3798.00 3797.06 3798.00 3797.06 3796.80 3795.86 0.0158 1.301 0.761 4.109 4.870 69.862 20.435 107.432 166.822 0.262 0.438 3797.06 3792.57 3797.06 3792.57 3795.86 3791.37 0.0418 2.278 0.786 4.320 5.106 67.767 49.436 59.284 59.284 0.152 0.152 3792.90 3792.57 3792.90 3792.57 3791.70 3791.37 0.0056 0.820 1.205 5.240 6.445 58.341 14.791 105.359 331.465 0.262 0.852 3792.57 3785.50 3792.57 3785.50 3791.37 3784.30 0.0671 3.266 0.538 3.833 4.370 74.899 106.358 59.247 1556.542 0.175 4.365 3785.50 3785.00 3785.12 3784.82 3783.92 3783.62 0.0051 1.761 0.561 5.355 5.916 61.645 448.509 107.044 107.044 0.318 0.318 3798.00 3792.90 3798.00 3792.90 3796.80 3791.70 0.0476 2.144 0.832 4.182 5.015 68.558 36.364 105.585 212.629 0.310 0.628 3792.90 3785.00 3792.90 3784.82 3791.70 3783.62 0.0765 3.167 0.556 3.720 4.276 75.954 79.543
PRIMERA ITERACIÓN TRAMO 1231742856-
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 1 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.765 1.013 4.275 5.288 66.259 14.792 2 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.59 3785.75 3790.39 3784.55 0.0575 3.051 0.555 3.906 4.460 73.920 87.882 3 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.635 0.630 4.558 5.188 67.072 99.282 4 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 0.810 1.238 5.414 6.652 57.170 17.465 5 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.274 0.771 3.804 4.575 72.721 11.393 6 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 2.766 0.646 4.056 4.702 71.453 70.245 7 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.498 0.674 3.742 4.417 74.391 18.918 8 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.891 0.522 3.274 3.796 81.997 21.142 9 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 3.212 0.537 4.100 4.637 72.098 139.994 10 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.552 0.623 5.276 5.899 61.757 230.111
TUBO 2 3 6 4 4 5 5 5 6 9
TTTTTTTTTT-
10 711 8913 10 14 11 12 13 14 -
7 8 8 9 12 10 11 11 12 15 14 15
TTTTTTTTTTTT-
11 12 13 14 15 16 17 18 19 20 21 22
58.540 58.540 106.858 165.398 58.435 58.435 104.057 327.890 59.530 1165.830 59.390 59.390 107.432 166.822 59.284 59.284 105.359 331.465 59.247 1556.542 107.044 107.044 105.585 212.629
0.183 0.313 0.157 0.268 0.182 0.176 0.262 0.152 0.262 0.175 0.318 0.310
0.183 0.496 0.157 0.921 3.339 0.176 0.438 0.152 0.852 4.365 0.318 0.628
3797.06 3797.23 3792.57 3792.56 3785.42 3798.00 3797.06 3792.90 3792.57 3785.50 3798.00 3792.90
3797.23 3792.56 3792.56 3785.42 3785.50 3797.06 3792.57 3792.57 3785.50 3785.00 3792.90 3785.00
3797.06 3796.77 3792.57 3792.28 3785.42 3798.00 3797.06 3792.90 3792.57 3785.12 3798.00 3792.90
3796.77 3792.56 3792.28 3785.42 3785.12 3797.06 3792.57 3792.57 3785.50 3784.82 3792.90 3784.82
3795.86 3795.57 3791.37 3791.08 3784.22 3796.80 3795.86 3791.70 3791.37 3783.92 3796.80 3791.70
3795.57 3791.36 3791.08 3784.22 3783.92 3795.86 3791.37 3791.37 3784.30 3783.62 3791.70 3783.62
0.0050 0.0394 0.0050 0.0659 0.0050 0.0158 0.0418 0.0056 0.0671 0.0051 0.0476 0.0765
0.809 2.328 0.783 3.418 1.658 1.310 2.334 0.816 3.386 1.822 2.288 3.257
1.206 0.765 1.243 0.507 0.598 0.755 0.767 1.212 0.519 0.542 0.780 0.540
5.353 4.369 5.346 3.826 5.373 4.109 4.320 5.240 3.833 5.355 4.182 3.720
6.558 5.134 6.589 4.334 5.972 4.864 5.087 6.451 4.351 5.897 4.962 4.261
57.692 67.532 57.517 75.304 61.275 69.914 67.931 58.305 75.108 61.771 69.022 76.129
17.625 55.810 15.034 115.539 340.963 20.450 49.556 14.782 106.655 449.424 36.610 79.726
PRIMERA ITERACIÓN TRAMO
TUBO
123174285610 711 8913 10 14 11 12 13 14 -
TTTTTTTTTTTTTTTTTTTTTT-
2 3 6 4 4 5 5 5 6 9 7 8 8 9 12 10 11 11 12 15 14 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Longitud (m) Area aporte (Ha) Cota (m.s.n.m.) Cota (m.s.n.m.) Cota solera Pend. Vo t te tc I Q Prop. Acum. Prop. Acum. Inicio Final Inicio Final Inicio Final Terreno (m/s) (min) (min) (min) (mm/hr) (l/s) 107.247 107.247 0.134 0.134 3796.25 3791.58 3796.25 3791.58 3795.05 3790.38 0.0435 1.766 1.012 4.275 5.287 66.264 14.794 101.533 208.780 0.579 0.713 3791.59 3785.75 3791.59 3785.75 3790.39 3784.55 0.0575 3.055 0.554 3.906 4.460 73.928 87.891 61.831 270.611 0.175 0.888 3785.75 3785.07 3785.75 3785.07 3784.55 3783.87 0.0110 1.635 0.630 4.558 5.188 67.072 99.282 60.169 60.169 0.183 0.183 3796.25 3796.03 3796.25 3795.95 3795.05 3794.75 0.0050 0.810 1.238 5.414 6.652 57.169 17.465 58.972 58.972 0.094 0.094 3797.23 3796.03 3797.23 3795.95 3796.03 3794.75 0.0217 1.275 0.771 3.804 4.575 72.722 11.393 107.298 226.439 0.313 0.590 3796.03 3790.09 3795.95 3790.09 3794.75 3788.89 0.0546 2.767 0.646 4.056 4.702 71.455 70.246 60.605 60.605 0.153 0.153 3791.58 3790.09 3791.58 3790.09 3790.38 3788.89 0.0246 1.499 0.674 3.742 4.416 74.393 18.918 59.258 59.258 0.155 0.155 3792.56 3790.09 3792.56 3790.09 3791.36 3788.89 0.0417 1.892 0.522 3.274 3.796 82.000 21.143 103.496 449.798 0.268 1.165 3790.09 3785.07 3790.09 3785.07 3788.89 3783.87 0.0485 3.216 0.536 4.100 4.636 72.103 140.005 58.001 778.410 0.182 2.236 3785.07 3785.42 3785.07 3784.77 3783.87 3783.57 0.0052 1.552 0.623 5.276 5.899 61.758 230.112 58.540 58.540 0.183 0.183 3797.06 3797.23 3797.06 3796.77 3795.86 3795.57 0.0050 0.809 1.206 5.353 6.558 57.691 17.625 106.858 165.398 0.313 0.496 3797.23 3792.56 3796.77 3792.56 3795.57 3791.36 0.0394 2.329 0.765 4.369 5.133 67.534 55.811 58.435 58.435 0.157 0.157 3792.57 3792.56 3792.57 3792.28 3791.37 3791.08 0.0050 0.783 1.244 5.346 6.590 57.515 15.033 104.057 327.890 0.268 0.921 3792.56 3785.42 3792.28 3785.42 3791.08 3784.22 0.0659 3.420 0.507 3.826 4.333 75.307 115.544 59.530 1165.830 0.182 3.339 3785.42 3785.50 3785.42 3785.12 3784.22 3783.92 0.0050 1.658 0.598 5.373 5.972 61.275 340.963 59.390 59.390 0.176 0.176 3798.00 3797.06 3798.00 3797.06 3796.80 3795.86 0.0158 1.311 0.755 4.109 4.864 69.916 20.450 107.432 166.822 0.262 0.438 3797.06 3792.57 3797.06 3792.57 3795.86 3791.37 0.0418 2.335 0.767 4.320 5.086 67.934 49.558 59.284 59.284 0.152 0.152 3792.90 3792.57 3792.90 3792.57 3791.70 3791.37 0.0056 0.815 1.212 5.240 6.451 58.304 14.782 105.359 331.465 0.262 0.852 3792.57 3785.50 3792.57 3785.50 3791.37 3784.30 0.0671 3.388 0.518 3.833 4.351 75.111 106.660 59.247 1556.542 0.175 4.365 3785.50 3785.00 3785.12 3784.82 3783.92 3783.62 0.0051 1.823 0.542 5.355 5.897 61.772 449.433 107.044 107.044 0.318 0.318 3798.00 3792.90 3798.00 3792.90 3796.80 3791.70 0.0476 2.292 0.779 4.182 4.961 69.033 36.616 105.585 212.629 0.310 0.628 3792.90 3785.00 3792.90 3784.82 3791.70 3783.62 0.0765 3.258 0.540 3.720 4.261 76.131 79.728
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 108.9 150 169.892 1.727 197.4 200 251.034 2.850 292.3 300 244.147 1.630 181.5 200 217.157 0.814 115.1 150 179.084 1.265 183.7 200 220.892 2.709 135.0 150 214.821 1.485 126.2 150 197.577 1.861 242.6 250 242.135 3.028 463.5 500 223.979 1.542 182.3 200 218.545 0.813 180.7 200 215.913 2.282 172.0 200 202.599 0.788 212.0 250 199.380 3.305 538.8 550 246.906 1.655 152.0 200 177.403 1.301 170.8 200 201.040 2.278 167.0 200 195.788 0.820 205.0 250 191.977 3.266 595.8 600 254.725 1.761 148.8 150 253.927 2.144 179.3 200 213.619 3.167
cal ang -4.8E-07 -4.021751E-07 2.96517 -2.6E-05 -0.0145458953 4.381366 -2.1E-08 4.369117E-07 4.261165 -5.1E-07 0.000000178 3.790109 -4.6E-07 9.0034324E-07 3.125611 -5.3E-07 5.3749667E-07 3.855293 -8.2E-07 1.1475825E-07 3.749337 -5.4E-07 -2.629018E-07 3.44837 3.76E-07 1.5333762E-07 4.226058 2.33E-07 6.3873128E-07 3.909178 -5.8E-07 0.000000128 3.814324 -6E-07 6.4873968E-08 3.768386 -5.3E-07 -2.962434E-08 3.536019 -8.4E-07 -8.977575E-07 3.479846 -4.9E-07 2.3724576E-07 4.309316 -5.1E-08 3.6499493E-08 3.096267 -4.1E-07 -2.134058E-07 3.508803 -4.9E-07 -2.537935E-07 3.417145 -9.1E-07 4.1725332E-08 3.350627 4.4E-07 3.0617592E-07 4.445795 -9.4E-08 2.4233019E-07 4.431865 -3E-07 0.000000587 3.728359
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 112.5 150 175.135 1.765 208.1 250 195.132 3.051 297.6 300 254.054 1.635 180.0 200 214.644 0.810 116.3 150 180.995 1.274 193.4 200 240.535 2.766 137.4 150 220.088 1.498 129.7 150 204.052 1.891 255.9 300 200.700 3.212 469.8 500 228.733 1.552 180.8 200 215.998 0.809 188.6 200 230.140 2.328 170.3 200 200.257 0.783 225.0 250 214.677 3.418 547.2 550 255.923 1.658 153.7 200 179.356 1.310 178.4 200 212.174 2.334 165.6 200 193.983 0.816 217.6 250 205.622 3.386 605.9 650 225.882 1.822 155.1 200 181.072 2.288 190.4 200 233.691 3.257
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 112.6 150 175.308 1.766 208.5 250 195.591 3.055 297.6 300 254.112 1.635 179.9 200 214.587 0.810 116.3 150 181.048 1.275 193.6 200 240.861 2.767 137.5 150 220.192 1.499 129.8 150 204.187 1.892 256.3 300 201.101 3.216 469.9 500 228.789 1.552
cal 9E-07 2.92E-06 -1.1E-07 -2.2E-07 1.63E-07 -1.5E-07 6.35E-07 -5.7E-08 -5E-07 -1.2E-07 -2.2E-07 -1.7E-07 -2.4E-07 1.05E-07 -2.6E-07 3.29E-07 -1.4E-07 -1.8E-07 -9.5E-07 -4.2E-07 -1.2E-07 -7.5E-07
ang 4.1701164E-08 3.056679 0.001797174 3.405689 2.1351395E-07 4.434085 -2.737372E-08 3.746247 -2.050404E-08 3.158966 4.3074655E-07 4.198134 5.3656996E-07 3.841266 2.587535E-08 3.56138 -2.101549E-07 3.502879 7.014403E-07 3.992137 -0.000000036 3.769879 7.6473152E-07 4.016701 8.7936356E-08 3.495141 8.1594688E-07 3.746828 8.0417559E-07 4.466703 -6.720742E-08 3.130347 8.2751517E-07 3.703136 -9.451709E-07 3.385638 8.1344747E-07 3.58878 3.6154502E-07 3.942379 4.1620817E-08 3.160295 4.3282797E-07 4.078685
cal ang 9.07E-07 4.4198124E-08 3.059703 -4.2E-07 -1.513063E-08 3.413709 -1.1E-07 0.000000218 4.435084 -2.3E-07 -2.964663E-08 3.74525 1.71E-07 -2.190869E-08 3.159883 -1.9E-07 4.4160478E-07 4.203823 6.53E-07 5.7180204E-07 3.843069 -5.9E-08 2.7547054E-08 3.563734 -7E-07 -0.000000202 3.509878 -1.3E-07 0.000000739 3.993119
180.7 188.8 170.2 225.2 547.2 153.7 178.6 165.6 217.8 606.4 155.5 190.5
200 200 200 250 550 200 200 200 250 650 200 200
215.942 230.416 200.195 214.957 255.956 179.406 212.427 193.933 205.887 226.149 181.534 234.040
0.809 2.329 0.783 3.420 1.658 1.311 2.335 0.815 3.388 1.823 2.292 3.258
Diámetro (mm) Ángulo V cal. Asum. (º) (m/s) 112.6 150 175.314 1.766 208.5 250 195.600 3.055 297.6 300 254.112 1.635 179.9 200 214.586 0.810 116.3 150 181.049 1.275 193.6 200 240.865 2.767 137.5 150 220.194 1.499 129.8 150 204.190 1.892 256.3 300 201.108 3.216 469.9 500 228.789 1.552 180.7 200 215.941 0.809 188.8 200 230.420 2.329 170.2 200 200.193 0.783 225.2 250 214.961 3.420 547.2 600 218.698 1.706 153.7 200 179.407 1.311 178.6 200 212.432 2.335 165.6 200 193.932 0.815 217.8 250 205.892 3.388 606.4 650 226.152 1.823 155.5 200 181.546 2.292 190.5 200 234.044 3.258
-2.2E-07 -1.5E-07 -2.5E-07 1.18E-07 -2.6E-07 3.44E-07 -1.2E-07 -1.9E-07 1.12E-07 -4.8E-07 -8.7E-08 -8.1E-07
-3.894156E-08 3.768898 8.8910895E-07 4.021511 9.3649955E-08 3.49406 0.000000896 3.75171 8.1934162E-07 4.467267 -7.153445E-08 3.131217 5.1662025E-08 3.707559 -0.00000098 3.384768 9.1655327E-07 3.593414 2.4954804E-07 3.947049 3.8105026E-08 3.168365 3.7118424E-07 4.084766
cal ang 9.07E-07 4.4273639E-08 3.059798 -4.2E-07 -1.508834E-08 3.413857 -1.1E-07 2.2639734E-07 4.435086 -2.3E-07 -2.970171E-08 3.745226 1.71E-07 -2.194722E-08 3.159908 -1.9E-07 4.4165863E-07 4.203879 6.54E-07 5.724496E-07 3.843102 -5.9E-08 2.7579355E-08 3.563779 -7.1E-07 -2.018785E-07 3.509995 -1.3E-07 7.3943774E-07 3.99313 -2.2E-07 -0.000000039 3.768875 -1.5E-07 0.000000891 4.021583 -2.5E-07 9.3807513E-08 3.494031 1.18E-07 8.9723026E-07 3.751782 -2.6E-07 1.0626739E-07 3.817001 3.44E-07 -7.164448E-08 3.131239 -1.2E-07 5.1946481E-08 3.707646 -1.9E-07 -0.000000981 3.384744 1.12E-07 9.1829532E-07 3.59349 -4.8E-07 2.4858592E-07 3.947095 -8.6E-08 0.000000038 3.168569 -8.1E-07 3.7027957E-07 4.084836
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