Se ejecutó una prueba de reducción de presión a velocidad constante en un pozo de petróleo. Durante la prueba, la distorsión del pozo terminó después de aproximadamente 12 horas de tiempo de flujo. Interpreta completamente la prueba de presión. Additional information: Pi=4412 psia; h= 69 ft; B= 1,136 bbl/STB; rw= 0,198 ft; Porosity= 3,9% Viscosity= 0,8 cp; Ct= 17*10-6/psi
t, hr 0 0.02 0.04 0.07 0.12 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.94 2.79 4.01 4.82 5.78 6.94 8.32 11.1 14.4 17.3 20.7 24.9 29.8 35.8 43 51.5 61.8 74.2 89.1 107 128 154 185 222
Pwf ΔP 4412 4389 4365 4329 4272 4201 4122 4057 3995 3953 3912 3884 3857 3822 3699 3653 3636 3616 3607 3600 3593 3586 3573 3567 3561 3555 3549 3544 3537 3532 3526 3521 3515 3509 3503 3497 3490 3481
0h 23 B 47 rw 83 porosidad 140 viscosidad 211 ct 290 q 355 417 459 500 528 555 590 713 759 776 796 805 812 819 826 839 845 851 857 863 868 875 880 886 891 897 903 909 915 922 931
log(dP
69 1.136 0.198 0.039 0.8 1.70E-05 250
3900
3800
3700
3600
3500
3400
3300
3200
1
10
log t P1 P2
pwf 24.9 51.5
m k pwf (1hr) s J actual
72.8752395 7.34682647 3700 5.12 0.25
ΔPs
324.508439
J ideal FE
0.37965559 0.66987951
3555 3532
log (ΔP') vs logt 1000
266 319 383 460
3472 3460 3446 3429
940 952 966 983
100
10
1
1
10
t ΔP C (bbl/psi)
0.12 140 0.01014286
100
log(dP) vs logt
10
100
1000
og (ΔP') vs logt
100
1000
t, hr
Pwf 0
4412
0.02
4389
0.04
4365
0.07
4329
0.12
4272
0.2
4201
0.3
4122
0.4
4057
0.5
3995
0.6
3953
0.7
3912
0.8
3884
0.9
3857
1
3822
1.94
3699
2.79
3653
4.01
3636
4.82
3616
5.78
3607
6.94
3600
8.32
3593
11.1
3586
14.4
3573
17.3
3567
20.7
3561
24.9
3555
29.8
3549
35.8
3544
dP
t*dP'
23 47 83 140 211 290 355 417 459 500 528 555 590 713 759 776 796 805 812 819 826 839 845 851 857 863 868
51.1 85.4 122.8 170.1 213.0 255.2 251.7 249.7 235.8 220.1 283.6 312.1 147.5 86.7 87.9 78.9 43.9 38.4 33.1 37.8 39.8 33.1 33.0 32.9 30.4 32.7
ΔP
h
69
0
B
1.136
23
rw
0.198
47
porosidad
0.039
83
viscosidad
0.8
140
ct
1.70E-05
211
q
250
290 355
log (t* 1000
417 459 500 528
100
555 590 713 759
10
776 796 805 812
1
1
10
819
t (t*Δp') (h)
826
k
839 845 851 857 863 868
30 7.74894686
43
3537
51.5
3532
61.8
3526
74.2
3521
89.1
3515
107
3509
128
3503
154
3497
185
3490
222
3481
266
3472
319
3460
383
3446
460
3429
875 32.9 880 30.3 886 30.1 891 30.1 897 32.8 903 33.1 909 33.0 915 35.3 922 43.8 931 49.6 940 57.9 952 71.3 966 84.7 983 Err:502
875 880 886 891 897 903 909 915 922 931 940 952 966 983
log (t*dP') vs logt
10
100
1000
t, hr 0 0.02 0.04 0.07 0.12 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.94 2.79 4.01 4.82 5.78 6.94 8.32 11.1 14.4 17.3 20.7 24.9 29.8 35.8 43 51.5 61.8 74.2 89.1 107 128 154 185 222 266 319 383 460
Pwf 4412 4389 4365 4329 4272 4201 4122 4057 3995 3953 3912 3884 3857 3822 3699 3653 3636 3616 3607 3600 3593 3586 3573 3567 3561 3555 3549 3544 3537 3532 3526 3521 3515 3509 3503 3497 3490 3481 3472 3460 3446 3429
Pwf Vs t 4400
4200
4000
3800
3600
3400
3200
3000
0
50
100
h B rw porosidad viscosidad ct q
150
69 1.136 0.198 0.039 0.8 1.70E-05 250 t
P1 P2
200
Pwf 222 266
m P(1hr)
72.8752395 3700
m* A(acres) Pint(psia) Vp(ft^3) Ca
0.20454545 163.01 3540 438.646597 12.4643906
3481 3472
250
300
350
400
300
350
400
450
500
t, hr
Pwf 0
4412
0.02
4389
0.04
4365
0.07
4329
0.12
4272
0.2
4201
0.3
4122
0.4
4057
0.5
3995
0.6
3953
0.7
3912
0.8
3884
0.9
3857
1
3822
1.94
3699
2.79
3653
4.01
3636
4.82
3616
5.78
3607
6.94
3600
8.32
3593
11.1
3586
14.4
3573
17.3
3567
20.7
3561
24.9
3555
29.8
3549
35.8
3544
dP
t*dP' log(t*dP') vs logt
23 47 83 140 211 290 355 417 459 500 528 555 590 713 759 776 796 805 812 819 826 839 845 851 857 863 868
1000
51.1 85.4 122.8 170.1 213.0 255.2 251.7 249.7 235.8 220.1 283.6 312.1 147.5 86.7 87.9 78.9 43.9 38.4 33.1 37.8 39.8 33.1 33.0 32.9 30.4 32.7
100
m=0 10
1
1
10
tpss
266
(t*ΔP')pss
57.9
(ΔP)pss
940
(t*ΔP')r
30
A(acres)
153.363353 A(ft^2)
S
5.12
K
7.34682647
Ca
#VALUE!
43
3537
51.5
3532
61.8
3526
74.2
3521
89.1
3515
107
3509
128
3503
154
3497
185
3490
222
3481
266
3472
319
3460
383
3446
460
3429
875 32.9 880 30.3 886 30.1 891 30.1 897 32.8 903 33.1 909 33.0 915 35.3 922 43.8 931 49.6 940 57.9 952 71.3 966 84.7 983 Err:502
log(t*dP') vs logt
m
=1
m=0
10
100
h
69
B
1.136
rw
0.198
porosidad
0.039
viscosidad
0.8
ct
1.70E-05
q
250
6680507.67
1000