DatosPi 2733 psia B 1.229 bbl/STBh 16 pies rw 3.2 pulgadasQ 475 BPD

METODO CONVENCIONAL

t (hrs) Pwf (psia) Δp(psi) t*dP'=derivada0 2733 0

0.1 2703 300.2 2672 61 60.075928843110.3 2644 89 85.595240566660.4 2616 117 109.396462933

0.65 2553 180 126.19547399161 2500 233 135.8826387988

1.5 2440 293 146.81781243682 2398 335 131.46368611453 2353 380 94.863125908374 2329 404 79.347347176275 2312 421 68.322546285017 2293 440 30.60778249589

9.6 2291 442 5.24758182242712 2290 443 6.24969918212416.8 2287 446 8.35965420187433.6 2282 451 7.42558817843550 2279 454 7.901881555022 Pendiente72 2276 457 10.8537013234385 2274 459 12.17912097067

100 2272 461 Err:502

Permeabilidad

Pwf a 1 hora

Daño(s)

1 10 1002150

2200

2250

2300

2350

2400

2450

2500

2550

Pwf vs t

tPw

f

Indice de productividad

DeltaPs

J ideal

Indice de efectividad

Coeficiente de almacenamiento

DatosPorosidad 0.18 Ctc 0.000264 1/psiViscosidad 1.2 cp

METODO CONVENCIONAL METODO MODERNO

Pendiente

m 18.4630336

Permeabilidad

k 385.588646 md

Pwf a 1 hora

Pwf 1h 2310.36814 psi

Daño(s)

s 23.3663804

1 10 1002150

2200

2250

2300

2350

2400

2450

2500

2550

Pwf vs t

t

Pwf

1 10 1001

10

100

1000

t*dp' vs t

t

Δp1 10 100

10

100

1000

Δp vs t

t

Δp

Indice de productividad

J 0.2090669 STB/psi

DeltaPs

ΔPs 374.635266

J ideal

J ideal 5.49993013 STB/psi

Indice de efectividad

EF 0.03801265

Coeficiente de almacenamiento

C 0.08107986 bbl/psi

METODO MODERNO

1 10 1001

10

100

1000

t*dp' vs t

t

Δp

1 10 10010

100

1000

Δp vs t

t

Δp

Pi 4412 psia B 1.136 bbl/STBh 69 pies rw 0.198 pulgadasq 250 BPD ct 0.000017 1/psi

t, hr Pwf, psi Δp ( psi) t*dP'0 4412 0

0.02 4389 230.04 4365 47 51.06039550.07 4329 83 85.42968050.12 4272 140 122.817340.2 4201 211 170.1251520.3 4122 290 213.0337550.4 4057 355 255.1747860.5 3995 417 251.7147150.6 3953 459 249.6586420.7 3912 500 235.8139410.8 3884 528 220.0742160.9 3857 555 283.5797571 3822 590 312.084291

1.94 3699 713 147.4954782.79 3653 759 86.69819454.01 3636 776 87.89536034.82 3616 796 78.93826945.78 3607 805 43.93163746.94 3600 812 38.43560598.32 3593 819 33.069015 Determinar m11.1 3586 826 37.768627714.4 3573 839 39.831230917.3 3567 845 33.07470220.7 3561 851 32.966429824.9 3555 857 32.9460056 Determinar permeabilidad29.8 3549 863 30.36062135.8 3544 868 32.730624743 3537 875 32.9174953

51.5 3532 880 30.300065861.8 3526 886 30.130156674.2 3521 891 30.0644766 Determinar Pwf 1 h89.1 3515 897 32.7810944107 3509 903 33.1319337128 3503 909 32.9721015154 3497 915 35.3184589185 3490 922 43.7818581 Determinar S

1 10 100 10003200

3400

3600

3800

4000

4200

4400

Column B

t

Pwf

222 3481 931 49.5692913266 3472 940 57.8895289319 3460 952 71.28985383 3446 966 84.675851460 3429 983 Err:502

Determinar J actual

determinar delta s

J ideal

Indice de efectivida

Porosidad 0.039Viscosidad 0.8 cp

Determinar m

m 72.0503254

Determinar permeabilidad

k 7.43094131 mD

Determinar Pwf 1 h

pef1h 3655.95778 psi

Determinar S

0.1 1 10 100 100010

100

1000

deltaP vs tt*dP' vs t

t

delta

P y

t*dP

'

1 10 100 10003200

3400

3600

3800

4000

4200

4400

Column B

t

Pwf

s 5.95083354

Determinar J actual

Ja 0.2543235 STB/psi

determinar delta s

Delta Ps 372.329892

J ideal

Ji 0.40938634 STB/psi

Indice de efectivida

EF 0.62123104

0.1 1 10 100 100010

100

1000

deltaP vs tt*dP' vs t

t

delta

P y

t*dP

'

0.1 1 10 100 100010

100

1000

deltaP vs tt*dP' vs t

t

delta

P y

t*dP

'

DatosPi 3500 psia B 1.328 bbl/STBh 70 pies rw 0.4 ftQ 1980 BPD Ct 0.00001242 1/psi

t (horas) P (psia) ΔP (psia)=dp t*dP'=derivada0 3500 0

0.0001 3492.98 7.020.0002 3486.99 13.01 8.1

0.0004 3481.8 18.2 15.8

0.0005 3477.69 22.31 16.4

0.0007 3473.19 26.81 16.4

0.0008 3470.84 29.16 18.9

0.0009 3468.48 31.52 21.2

0.001 3466.13 33.87 20.2

0.0014 3461.64 38.36 14.9

0.0018 3457.6 42.4 14.1

0.0024 3454.17 45.83 10.8

0.0038 3450.07 49.93 8.6

0.005 3447.77 52.23 7.7

0.0058 3446.69 53.31 7.2

0.0078 3444.6 55.4 7.2

0.009 3443.57 56.43 7.1

0.0139 3440.53 59.47 7.1

0.016 3439.53 60.47 7.0

0.0214 3437.54 62.46 6.8

0.0248 3436.55 63.45 6.8

0.0331 3434.58 65.42 6.8

0.0383 3433.6 66.4 6.7

0.0512 3431.64 68.36 6.7

0.0592 3430.67 69.33 6.7

0.0792 3428.72 71.28 6.7

0.1058 3426.78 73.22 6.7

0.1414 3424.84 75.16 6.7

0.189 3422.91 77.09 6.6

0.2527 3420.98 79.02 6.7

0.3377 3419.04 80.96 6.7

0.4514 3417.1 82.9 6.7

0.6034 3415.16 84.84 6.7

0.8066 3413.23 86.77 6.7

1.0781 3411.29 88.71 6.8

1.4411 3409.3 90.7 7.0

1.6661 3408.27 91.73 7.2

2.2270 3406.1 93.9 7.8

2.9767 3403.74 96.26 8.5

3.9788 3401.18 98.82 9.2

5.3183 3398.4 101.6 9.9

1 10 1001

10

100

1000

ΔP vs tt*dP' vs t

t logt*

dP' l

og

1 10 1003330

3340

3350

3360

3370

3380

3390

3400

3410

3420

Pwf vs t

t

pwf

7.1087 3395.43 104.57 10.5

9.5020 3392.28 107.72 11.1

12.7010 3388.98 111.02 11.6

16.9770 3385.56 114.44 12.0

22.6920 3382.04 117.96 12.3

30.3320 3378.44 121.56 12.5

40.5430 3374.78 125.22 12.7

54.1920 3371.08 128.92 12.8

72.4370 3367.34 132.66 12.9

96.8230 3363.57 136.43 13.0

129.4190 3359.79 140.21 13.1

172.9900 3355.99 144.01 13.1

200 3354.08 145.92 CHallo la m m1

k

Daño

despejo la Pwf 1hr

remplazando en s

DatosPorosidad= 0.2Viscosidad= 1.2 cp

1 10 1001

10

100

1000

ΔP vs tt*dP' vs t

t log

t*dP

' log

1 10 1003330

3340

3350

3360

3370

3380

3390

3400

3410

3420

Pwf vs t

t

pwf

pwf vs log t

0.0015606815.4440234 m2 29.0827781 C

474.576865 k 475.400448

s

Pwf 1hr 3411.71413

8.99785374 ti 9.9s -0.05910021

dc

0.00278131

Md

-0.05292375

489.941298

DatosPi 3850 psia Bh 68 pies rwq 700 BPD ct

t (horas) P (psia) ΔP (psia) derivada (psia)0.00010 3845.93 00.00030 3841.5 4.43 13.3

0.00040 3836.96 8.97 17.4

0.00050 3832.8 13.13 18.3

0.00100 3820.93 25 21.5

0.00140 3812.96 32.97 27.2

0.00220 3798.51 47.42 33.8

0.00300 3787.65 58.28 35.4

0.00410 3776.49 69.44 36.0

0.00550 3765.82 80.11 33.4

0.00750 3756.4 89.53 27.8

0.01020 3748.65 97.28 22.5

0.01390 3742.5 103.43 18.0

0.01900 3737.46 108.47 15.4

0.02580 3732.99 112.94 14.2

0.03510 3728.74 117.19 13.6

0.04780 3724.58 121.35 13.4

0.06510 3720.47 125.46 13.3

0.08860 3716.4 129.53 13.1

0.12060 3712.38 133.55 13.0

0.16430 3708.38 137.55 13.0

0.22360 3704.36 141.57 13.3

0.30440 3700.19 145.74 14.0

0.41440 3695.74 150.19 15.1

0.56420 3690.89 155.04 16.4

0.76810 3685.6 160.33 17.9

1.04560 3679.85 166.08 19.3

1.42350 3673.69 172.24 20.6

1.93790 3667.17 178.76 21.6

2.63830 3660.35 185.58 22.5

3.59170 3653.28 192.65 23.2

4.88970 3646.02 199.91 23.8

6.65670 3638.6 207.33 24.3

9.06230 3631.05 214.88 24.6

12.33720 3623.42 222.51 24.8

16.79560 3615.75 230.18 25.1

22.86530 3607.94 237.99 25.9

31.12830 3599.75 246.18 27.5

42.37740 3590.95 254.98 29.9

57.69180 3581.32 264.61 32.7

78.54050 3570.77 275.16 35.7

106.92350 3559.3 286.63 38.5

145.56350 3546.99 298.94 41.1

198.16720 3533.95 311.98 43.2

269.78090 3520.32 325.61 45.0

367.27440 3506.19 339.74 Err:502

Datos1.2 bbl/STB Porosidad 0.1

0.333 ft Viscosidad 0.80.0000014 1/psi

pwf 3685

0.0001 0.001 0.01 0.1 1 10 100 100010

100

1000

t vs derivadat vs derivada

0.0001 0.001 0.01 0.1 1 10 100 10003300

3400

3500

3600

3700

3800

3900

pwf vs tpwf vs t

m1 29.786226716205m2 56.351925543813

metodo convencional metodo moderno

almacenamiento almacenamiento

c 0.00133 c 0.00095769permeabilidad permeabilidad

k 53.94677 Md k 53.7237873skin skin

s -1.000 s -1.179angulo entre los limites

θ 103.911911distancia al limite mas cercano

ft dc 292.701368distancia al limite mas lejano

ft df 658.58425

Datos

cp

0.0001 0.001 0.01 0.1 1 10 100 100010

100

1000

t vs derivadat vs derivada

0.0001 0.001 0.01 0.1 1 10 100 10003300

3400

3500

3600

3700

3800

3900

pwf vs tpwf vs t

DatosPi 3000 psia Viscosidad 0.6 cpq0 0 BPD B 1 bbl/STBq1 478.5 BPD 1 horaq2 319 BPD 2 horaq3 159.5 BPD 3 hora

t (hrs) Pwf (psia) q Pi-Pwf/qn ∑0 3000 0

0.333 999 478.5 4.18181818182 -0.477555770.667 857 478.5 4.47857889237 -0.17587417

1 778.5 478.5 4.64263322884 02 1378.5 319 5.08307210031 0.45154499

2.333 2043 159.5 6 1.456469832.667 2067.5 159.5 5.84639498433 1.23200761

3 2094 159.5 5.6802507837 1.13033377

Calualmos

kh 103.281812 conductividad

corte con eje Y =b´=4,6423

-1 -0.5 0 0.5 1 1.5 20

1

2

3

4

5

6

7

f(x) = 0.94464558440999 x + 4.64229067648858R² = 0.998999719287354

Pi-Pwf/qn vs ∑

∑ Pi

-Pw

f/qn

Datos

-1 -0.5 0 0.5 1 1.5 20

1

2

3

4

5

6

7

f(x) = 0.94464558440999 x + 4.64229067648858R² = 0.998999719287354

Pi-Pwf/qn vs ∑

∑

Pi-P

wf/

qn

DatosB 1.43 bbl/STBμ 1.63 cph 108 ft

∆t' (hr)0

0.250.5

0.751

1.251.5

1.752

2.53

3.54

4.556789

101520

26.1

METODO RUSSEL

La producción de arena ha causado serios problemas en algunos pozos. Debido al peligro de dejar la bomba en el pozo, la prueba PBU ha sido reemplazada por una prueba de dos tasas. En la tabla se presentan los datos para un pozo que ha fluido a una tasa de 1841 BPD durante 28,4 horas, antes de que la tasa aumentara a 3523 BPD. Calcular K y s.

∆t' pwf F(t) B 1.430 1419 rw 0.365

0.25 1400 0.90706221 viscosidad 1.63 Graficamos Pwf vs la funcion del tiempo(determinamos mediante la sgte formula)0.5 1384 1.18586664 h 108

0.75 1358 1.35049029 porosidad 0.31 1335 1.46834733 ct 0.000302

1.25 1321 1.56056497 q1 18411.5 1310 1.63655413 q2 3523

1.75 1304 1.70133512 tp1 28.42 1300 1.75790479

2.5 1286 1.853529963 1280 1.9328438

3.5 1274 2.000869694 1270 2.06060742

4.5 1265 2.113992995 1261 2.162349156 1255 2.24750387 1249 2.321113488 1245 2.386195019 1241 2.4446999

10 1237 2.4979651215 1219 2.7120065720 1206 2.87351046

26.1 1193 3.03068729

Determinamos m

0.5 1 1.5 2 2.5 3 3.51050

1100

1150

1200

1250

1300

1350

1400

1450

Pwf vs F(t)

F(t)

Pwf

METODO PINSON

∆t' pwf Se grafica en semilog Pwf vs t0 1419

0.25 14000.5 1384

0.75 13581 1335

1.25 13211.5 1310

1.75 13042 1300

2.5 12863 1280

3.5 12744 1270

4.5 12655 12616 12557 12498 12459 1241

10 123715 121920 1206 m

26.1 1193k

B 1.43rw 0.365 Pwf 1 hviscosidad 1.63h 108porosidad 0.3ct 0.000302q1 1841q2 3523tp1 28.4

METODO TIAB

∆t' pwf T2R0 1419

0.25 1400 8.073506730.5 1384 15.341458

1 10 1001100

1150

1200

1250

1300

1350

Pwf vs Log t

f(t)

Pwf

0.75 1358 22.41249961 1335 29.4

1.25 1321 36.35506881.5 1310 43.3066042

1.75 1304 50.27303632 1300 57.2670472

2.5 1286 71.37234393 1280 85.6729652

3.5 1274 100.2004544 1270 114.976061

4.5 1265 130.0148595 1261 145.3279526 1255 176.8087697 1249 209.4659698 1245 243.3296369 1241 278.419662

10 1237 314.74955115 1219 515.23643520 1206 747.32664

26.1 1193 1073.21636

B 1.43rw 0.365viscosidad 1.63h 108porosidad 0.3ct 3.02E-04q1 1841 mq2 3523 ktp1 28.4 pwf 1h

pwfint

1 10 100 1000 100001050

1100

1150

1200

1250

1300

1350

1400

1450

Pwf vs T2R

T2RPw

f

Datosrw 0.365 ftØ 0.3ct 3.02E-04 1/psi

Pwf (psi)14191400138413581335132113101304130012861280127412701265126112551249124512411237121912061193

METODO RUSSEL

La producción de arena ha causado serios problemas en algunos pozos. Debido al peligro de dejar la bomba en el pozo, la prueba PBU ha sido reemplazada por una prueba de dos tasas. En la tabla se presentan los datos para un pozo que ha fluido a una tasa de 1841 BPD durante 28,4 horas, antes de que la tasa aumentara a 3523 BPD. Calcular K y s.

Graficamos Pwf vs la funcion del tiempo(determinamos mediante la sgte formula)

m 83.6052389

k 77.2753043 mDp 1h 1310 psipwf1 1419 psipint 1430s -2.2296592

p* 1659.77336 psi

p* 1658.3038 psi

0.5 1 1.5 2 2.5 3 3.51050

1100

1150

1200

1250

1300

1350

1400

1450

Pwf vs F(t)

F(t)

Pwf

METODO PINSON

83.048202372

71.0748878 mD

1320 psi

s -2.45823199

METODO TIAB

1 10 1001100

1150

1200

1250

1300

1350

Pwf vs Log t

f(t)

Pwf

74.43238821886.798508443 mD

1330 psi1430 psi

s -2.23766828

p* 1616.4132 psi

pi 1639.07366 psi

1 10 100 1000 100001050

1100

1150

1200

1250

1300

1350

1400

1450

Pwf vs T2R

T2R

Pwf

Pi 3630 psia B 1 bbl/STBq0 1103 BPD ct 1.40E-05 1/psirw 0.26 ft h 18 ft

∆t (hrs) q (BPD)∑=Vr

0 1103 36304 800 3654 0.0792079207920792 0.602059996 840 3660 0.114068441064639 0.850717228 840 3665 0.133079847908745 0.922092089 880 3666 0.161434977578475 1.17119588

10 880 3668 0.170403587443946 1.16516928

k 58.696123024 mDs -6.456733929

Pwf (psia)Pwfdt=0-Pwfdt/qn-q0

(dp/dq)

0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.30

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

f(x) = 0.153906703015382 x − 0.0133791572077912R² = 0.984912797133001

dp/dq vs ∑

Column DLinear (Column D)

sumatoriadp

/dq

Viscosidad 1 cpporosidad 0.11 %

0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.30

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

f(x) = 0.153906703015382 x − 0.0133791572077912R² = 0.984912797133001

dp/dq vs ∑

Column DLinear (Column D)

sumatoria

dp/d

q

n t, hr q, BPD Pwf, psi Xn teq*(ΔP/q)'0 2906

1 1 1580 2023 01 1.5 1580 1968 0.176 0.08271 1.89 1580 1941 0.276 0.0851 2.4 15802 3 1490 1892 0.519 0.07912 3.45 1490 1882 0.569 0.05432 3.98 1490 1873 0.624 0.04222 4.5 1490 1867 0.673 0.05762 4.8 14903 5.5 1440 1853 0.787 0.10443 6.05 1440 1843 0.819 0.09333 6.55 1440 1834 0.849 0.073 7 1440 1830 0.874 0.06833 7.2 14404 7.5 1370 1827 0.974 0.09414 8.96 1370 1821 1.009 0.07644 9.6 13705 10 1300 1815 1.124 0.19965 12 1300 1797 1.153 0.20946 14.4 12607 15 1190 1775 1.337 0.10187 18 1190 1771 1.355 0.09467 19.2 11908 20 1160 1772 1.423 0.19138 21.6 11609 24 1137 1756 1.485 0.2311

10 28.8 110611 30 1080 1751 1.607 0.223411 33.6 108012 36 100013 3.62 983 1756 1.788 0.490813 48 983 1743 1.799

METODO CARTESIANO

Estime permeabilidad y dañoutilizando el método cartesiano, semilog y TDS usando los datos de presión y tasa de flujo medidos en una prueba multitasa , dados en la tabla. Otros parámetros conocidos son:

n t, hr q, BPD Pwf, psi Xn teq*(ΔP/q)' ΔP/q0 2906

1 1 1580 2023 0 0.558860761 1.5 1580 1968 0.1760912591 0.0827 0.593670891 1.89 1580 1941 0.2764618042 0.085 0.610759491 2.4 15802 3 1490 1892 0.5193409194 0.0791 0.680536912 3.45 1490 1882 0.5690249217 0.0543 0.687248322 3.98 1490 1873 0.6241181987 0.0422 0.693288592 4.5 1490 1867 0.6732053928 0.0576 0.697315442 4.8 14903 5.5 1440 1853 0.7870108298 0.1044 0.731253 6.05 1440 1843 0.8192511344 0.0933 0.738194443 6.55 1440 1834 0.8485312659 0.07 0.744444443 7 1440 1830 0.8739483086 0.0683 0.747222223 7.2 14404 7.5 1370 1827 0.9736852586 0.0941 0.787591244 8.96 1370 1821 1.0094779244 0.0764 0.79197084 9.6 13705 10 1300 1815 1.1242164215 0.1996 0.839230775 12 1300 1797 1.1534874303 0.2094 0.853076926 14.4 12607 15 1190 1775 1.3288069818 0.1018 0.950420177 18 1190 1771 1.3503941918 0.0946 0.953781517 19.2 11908 20 1160 1772 1.4186162474 0.1913 0.977586218 21.6 11609 24 1137 1756 1.4822649578 0.2311 1.0114336

10 28.8 110611 30 1080 1751 1.5068077059 0.2234 1.0694444411 33.6 108012 36 100013 3.62 983 1756 1.788 0.490813 48 983 1743 1.799

METODO SEMILOG

n t, hr q, BPD Pwf, psi Xn teq*(ΔP/q)' ΔP/q0 2906

1 1 1580 2023 0 0.303854091 1.5 1580 1968 0.1760912591 0.0827 0.593670891 1.89 1580 1941 0.2764618042 0.085 0.610759491 2.4 15802 3 1490 1892 0.5193409194 0.0791 0.680536912 3.45 1490 1882 0.5690249217 0.0543 0.687248322 3.98 1490 1873 0.6241181987 0.0422 0.693288592 4.5 1490 1867 0.6732053928 0.0576 0.697315442 4.8 14903 5.5 1440 1853 0.7870108298 0.1044 0.731253 6.05 1440 1843 0.8192511344 0.0933 0.738194443 6.55 1440 1834 0.8485312659 0.07 0.744444443 7 1440 1830 0.8739483086 0.0683 0.747222223 7.2 14404 7.5 1370 1827 0.9736852586 0.0941 0.787591244 8.96 1370 1821 1.0094779244 0.0764 0.79197084 9.6 13705 10 1300 1815 1.1242164215 0.1996 -1.396153855 12 1300 1797 1.1534874303 0.2094 -1.382307696 14.4 12607 15 1190 1775 1.3288069818 0.1018 0.950420177 18 1190 1771 1.3503941918 0.0946 0.953781517 19.2 11908 20 1160 1772 1.4186162474 0.1913 0.977586218 21.6 11609 24 1137 1756 1.4822649578 0.2311 1.0114336

10 28.8 110611 30 1080 1751 1.5068077059 0.2234 1.0694444411 33.6 108012 36 100013 3.62 983 1756 1.788 0.490813 48 983 1743 1.799

k 11.5232035

s -3.884136

METODO TDS

n t, hr q, BPD Pwf, psi Xn teq*(ΔP/q)' ΔP/q0 2906

1 1 1580 2023 0 0.303854091 1.5 1580 1968 0.1760912591 0.0827 0.593670891 1.89 1580 1941 0.2764618042 0.085 0.610759491 2.4 15802 3 1490 1892 0.5193409194 0.0791 0.680536912 3.45 1490 1882 0.5690249217 0.0543 0.687248322 3.98 1490 1873 0.6241181987 0.0422 0.693288592 4.5 1490 1867 0.6732053928 0.0576 0.697315442 4.8 14903 5.5 1440 1853 0.7870108298 0.1044 0.731253 6.05 1440 1843 0.8192511344 0.0933 0.738194443 6.55 1440 1834 0.8485312659 0.07 0.744444443 7 1440 1830 0.8739483086 0.0683 0.747222223 7.2 14404 7.5 1370 1827 0.9736852586 0.0941 0.787591244 8.96 1370 1821 1.0094779244 0.0764 0.79197084 9.6 13705 10 1300 1815 1.1242164215 0.1996 -1.396153855 12 1300 1797 1.1534874303 0.2094 -1.382307696 14.4 12607 15 1190 1775 1.3288069818 0.1018 0.950420177 18 1190 1771 1.3503941918 0.0946 0.953781517 19.2 11908 20 1160 1772 1.4186162474 0.1913 0.977586218 21.6 11609 24 1137 1756 1.4822649578 0.2311 1.0114336

10 28.8 110611 30 1080 1751 1.5068077059 0.2234 1.0694444411 33.6 108012 36 100013 3.62 983 1756 1.788 0.490813 48 983 1743 1.799

Pi 2906 psih 40 ftct 2.40E-06 1/psiB 1.27 bbl/STB

rw 0.29 ftµ 0.6 cpØ 0.112

METODO CARTESIANO

Estime permeabilidad y dañoutilizando el método cartesiano, semilog y TDS usando los datos de presión y tasa de flujo medidos en una prueba multitasa , dados en la tabla. Otros parámetros conocidos son:

Pi 2906 psih 40 ftct 2.40E-06 1/psiB 1.27 bbl/STB

rw 0.29 ftµ 0.6 cpØ 0.112

Determinar Xn

m' 0.21 pis/BPDb' 0.56

Calcular permeabilidad y daño

k 14.4425479

s -3.66732827

METODO SEMILOG

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 20

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

1.2

deltaP/q vs Xn

Xn

delta

P/q

teq, hr Pi 2906 psih 40 ft

1 ct 2.40E-06 1/psi1.5 B 1.27 bbl/STB

1.89 rw 0.29 ftµ 0.6 cp

3.30628981606 Ø 0.1123.7070199364

4.208411499984.71200120431

6.123656618556.595551782287.055556368097.48080455734

9.4120723864510.2206360685

13.311175870614.2392603372

21.320971116222.4075405904

Caclular m'26.2190074748 m' 0.26880806

b' 0.5430.3574268918

32.1223792992

61.376200516562.9506182857

mD

1 100

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

pwf vs teqΔP/q

teq

ΔP/q

METODO TDS

teq, hr Pi 2906 psih 40 ft

1 ct 2.40E-06 1/psi1.5 B 1.27 bbl/STB

1.89 rw 0.29 ftµ 0.6 cp

3.30628981606 Ø 0.1123.7070199364

4.208411499984.71200120431

Lectura datos6.123656618556.59555178228 (teq)r 3.304 hr7.05555636809 (teq*(ΔP/q)')r 0.08 psi/STB7.48080455734 (ΔP/q)r 0.681 psi/STB

9.4120723864510.2206360685 k 16.811625 mD

13.3111758706 s -3.0952885214.2392603372

21.320971116222.4075405904

26.2190074748

30.3574268918

32.1223792992

61.376200516562.9506182857

mD

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 20

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

1.2

deltaP/q vs Xn

Xn

delta

P/q

1 100

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

pwf vs teqΔP/q

teq

ΔP/q

t, horas q, BPD Pwf, psi Xn pi 44120 4412 vis 0.8

0.105 180 4332 -0.9790 rw 0.1980.151 177 4302 -0.8120 ct 1.70E-050.217 174 4264 -0.6500 B 1.1360.313 172 4216 -0.4900 h 69

0.45 169 4160 -0.3290 por 0.0390.648 166 4099 -0.16800.934 163 4039 -0.0080

1.34 161 3987 0.1470 Calcular k y s1.94 158 3952 0.3100 Usando tecnicas convencionales y modernas2.79 155 3933 0.46904.01 152 3926 0.62805.78 150 3926 0.78408.32 147 3927 0.94509.99 145 3928 1.030014.4 143 3931 1.183020.7 140 3934 1.343029.8 137 3937 1.5020

43 134 3941 1.662061.8 132 3944 1.817074.2 130 3946 1.903089.1 129 3948 1.9800107 127 3950 2.0650128 126 3952 2.1400154 125 3954 2.2190185 123 3956 2.3040

Usando tecnicas convencionales y modernas

t, horas q, BPD Pwf, psi Xn ΔP, psi ΔP/q, psi/BPD0 0 4412 1. Calcular ΔP/q (psi/BPD)

0.105 180 4332 -0.9788 80 0.444444444440.151 177 4302 -0.8123 110 0.621468926550.217 174 4264 -0.6497 148 0.850574712640.313 172 4216 -0.9714 196 1.13953488372

0.45 169 4160 -0.6984 252 1.491124260360.648 166 4099 -0.1683 313 1.885542168670.934 163 4039 -0.0080 373 2.28834355828

1.34 161 3987 0.1470 425 2.63975155281.94 158 3952 0.3100 460 2.911392405062.79 155 3933 0.4690 479 3.090322580654.01 152 3926 0.6280 486 3.197368421055.78 150 3926 0.7840 486 3.248.32 147 3927 0.9450 485 3.299319727899.99 145 3928 1.0300 484 3.3379310344814.4 143 3931 1.1830 481 3.3636363636420.7 140 3934 1.3430 478 3.4142857142929.8 137 3937 1.5020 475 3.46715328467

43 134 3941 1.6620 471 3.5149253731361.8 132 3944 1.8170 468 3.5454545454574.2 130 3946 1.9030 466 3.5846153846289.1 129 3948 1.9800 464 3.59689922481107 127 3950 2.0650 462 3.63779527559128 126 3952 2.1400 460 3.65079365079154 125 3954 2.2190 458 3.664185 123 3956 2.3040 456 3.70731707317

pi 4412vis 0.8rw 0.198ct 1.70E-05 m 1.68129774B 1.136 b' 2.4h 69por 0.039

-1.5000 -1.0000 -0.5000 0.0000 0.5000 1.0000 1.5000 2.0000 2.50000

0.5

1

1.5

2

2.5

3

3.5

4

Column F

Xn

ΔP/q

1. Calcular ΔP/q (psi/BPD)

k 1.27378209 mD

s -3.60227605

-1.5000 -1.0000 -0.5000 0.0000 0.5000 1.0000 1.5000 2.0000 2.50000

0.5

1

1.5

2

2.5

3

3.5

4

Column F

Xn

ΔP/q

t, horas q, BPD Pwf, psi Xn ΔP, psi ΔP/q, psi/BPD teq,hr0 0 4412

0.105 180 4332 -0.9788 80 0.44444444444 0.10500.151 177 4302 -0.8123 110 0.62146892655 0.15410.217 174 4264 -0.6497 148 0.85057471264 0.22400.313 172 4216 -0.9714 196 1.13953488372 0.1068

0.45 169 4160 -0.6984 252 1.49112426036 0.20030.648 166 4099 -0.1683 313 1.88554216867 0.67870.934 163 4039 -0.0080 373 2.28834355828 0.9817

1.34 161 3987 0.1470 425 2.6397515528 1.40281.94 158 3952 0.3100 460 2.91139240506 2.04172.79 155 3933 0.4690 479 3.09032258065 2.94444.01 152 3926 0.6280 486 3.19736842105 4.24625.78 150 3926 0.7840 486 3.24 6.08148.32 147 3927 0.9450 485 3.29931972789 8.81059.99 145 3928 1.0300 484 3.33793103448 10.715214.4 143 3931 1.1830 481 3.36363636364 15.240520.7 140 3934 1.3430 478 3.41428571429 22.029329.8 137 3937 1.5020 475 3.46715328467 31.7687

43 134 3941 1.6620 471 3.51492537313 45.919861.8 132 3944 1.8170 468 3.54545454545 65.614574.2 130 3946 1.9030 466 3.58461538462 79.983489.1 129 3948 1.9800 464 3.59689922481 95.4993107 127 3950 2.0650 462 3.63779527559 116.1449128 126 3952 2.1400 460 3.65079365079 138.0384154 125 3954 2.2190 458 3.664 165.5770185 123 3956 2.3040 456 3.70731707317 201.3724

pi 4412vis 0.8rw 0.198ct 1.70E-05 kB 1.136h 69por 0.039

m'b'

-119.634342

0.1000 1.0000 10.0000 100.0000 1000.00000

0.5

1

1.5

2

2.5

3

3.5

4

DeltaP/q vs log t

10^Xn

delta

P/q

1.681297742.4

k 1.27378209 mD

s -3.60227605

0.1000 1.0000 10.0000 100.0000 1000.00000

0.5

1

1.5

2

2.5

3

3.5

4

DeltaP/q vs log t

10^Xn

delta

P/q

t, horas q, BPD Pwf, psi Xn ΔP, psi ΔP/q, psi/BPD teq teq*(ΔP/q)'0 0 4412 0 0

0.105 180 4332 -0.979 80 0.44444444444 0.1050 #DIV/0!0.151 177 4302 -0.812 110 0.62146892655 0.1541 0.559596420.217 174 4264 -0.650 148 0.85057471264 0.2240 0.709933010.313 172 4216 -0.971 196 1.13953488372 0.1068 0.87904997

0.45 169 4160 -0.698 252 1.49112426036 0.2003 1.024926620.648 166 4099 -0.168 313 1.88554216867 0.6787 1.091712970.934 163 4039 -0.008 373 2.28834355828 0.9817 1.03727361

1.34 161 3987 0.147 425 2.6397515528 1.4028 0.85533371.94 158 3952 0.31 460 2.91139240506 2.0417 0.612186252.79 155 3933 0.469 479 3.09032258065 2.9444 0.393686184.01 152 3926 0.628 486 3.19736842105 4.2462 0.20620025.78 150 3926 0.784 486 3.24 6.0814 0.139769798.32 147 3927 0.945 485 3.29931972789 8.8105 0.194957159.99 145 3928 1.03 484 3.33793103448 10.7152 0.1641368814.4 143 3931 1.183 481 3.36363636364 15.2405 0.1050640720.7 140 3934 1.343 478 3.41428571429 22.0293 0.1423231529.8 137 3937 1.502 475 3.46715328467 31.7687 0.13770839

43 134 3941 1.662 471 3.51492537313 45.9198 0.1070988561.8 132 3944 1.817 468 3.54545454545 65.6145 0.1705884174.2 130 3946 1.903 466 3.58461538462 79.9834 0.1406685889.1 129 3948 1.98 464 3.59689922481 95.4993 0.14524285107 127 3950 2.065 462 3.63779527559 116.1449 0.14715756128 126 3952 2.14 460 3.65079365079 138.0384 0.07198412154 125 3954 2.219 458 3.664 165.5770 0.15414007185 123 3956 2.304 456 3.70731707317 201.3724

pi 4412vis 0.8rw 0.198 k 0.896459346238 mDct 1.70E-05B 1.136h 69por 0.039

s

-3.93745799

0.1000 1.0000 10.0000 100.0000 1000.00000.1

1

10

ΔP/qn vs Log tlog teq*(deltaP/q)' vs log t

log t

ΔP/q

- te

q*(Δ

P/q)

'