Ejercicio 4 Pdd.xlsx

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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

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