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EJERCICIO NO. 1

Calcular las propiedades del fluido y el Pseudo potencial con los siguientes datos DATOS

SGg= Ty= Py=

0.68 180 ºF 6500 psia

CÁLCULOS Cálculo de la Pc y Tc

Pc=706−51 . 7∗GEg −11 .1∗GEg 2 Ppc =

665.71 psia

Tc=187+ 330∗GEg−71. 5∗GEg Tpc =

2

378.3384 ºR

Cálculo de la Pr "para cada presión asumida" (la temperatura se asume contante)

Tpr =

T Tpc

Ppr =

P Ppc

Cálculo del factor z para cada presión asumida

Z =A +

1− A +CP D Pr exp B

Donde:

0 .5

A =1. 39( T pr −0 . 92)

B =( 0 .62−0 . 23T pr ) P pr +

− 0. 36 T pr −0 .101

(

0. 066 0 . 32 − 0 . 037 P2pr + 9 T −1 P6p ( ) T pr −0 . 86 10 pr

C =0 . 132 −0 . 32 log T

)

pr

D= anti log ( 0 .3106 −0 . 49 T pr +0 . 182 4 T 2pr ) Cálculo de la densidad del gas para cada presión [gr/cc]

ρg=0. 016018463374∗

PMg Z∗10 .732∗T

PM g = PM aira∗γg

PMg =

19.6945 lb/lbmol

Cálculo de la viscosidad del gas para cada presión [cp]

μ=10−4 K EXP ( Xρ Y ) X =3,5 + X =

986 +0, 01 M T 5.23757

Y =2,4 − 0,2 X Y =

1.352486

( 9,4 +0, 02 M ) T 1,5 K= 209 +19 M +T

K =

129.6371002935

Cálculo del factor volumétrico del gas para cada presión [ft3/scf]

B g = 0. 0283

ZT [ ft 3 / scf ] P

Cálculo del M(p)

 m( p1 )  2 *    

Presión (psi) 0 1000 2000 3000



P0 P1  1 * z1 0 * z0 2 

Ppc (psi) 665.71136 665.71136 665.71136 665.71136



 * (P  P ) 1 0

m( p 2 )  2

  

Tpc (ºR) 378.3384 378.3384 378.3384 378.3384

Ppr 0.0000 1.5022 3.0043 4.5065

Tpr 1.6916 1.6916 1.6916 1.6916

A 0.5110 0.5110 0.5110 0.5110

665.71136 665.71136 665.71136

378.3384 378.3384 378.3384

6.0086 7.5108 9.0129

1.6916 1.6916 1.6916

0.5110 0.5110 0.5110

6500

665.71136

378.3384

9.7640

1.6916

0.5110

m(p) [MMPSI^2/CP]

4000 5000 6000

DE 1800 1600

f(x) = 2.06324899293051E R² = 0.9999830446

1400 1200 1000 800 600 400 200 0 0

1000

2000

JERCICIO NO. 1

s siguientes datos:

r+

0 . 32 10

9 ( T pr −1 )

P6pr





P2 P1  2 * z2  1 * z1 2 

m( p 2 )  2 *    



 * (P  P ) 2 1   

TABLA DE RESULTADOS B 0.0000 0.4425 1.0763 1.9026

C 0.0589 0.0589 0.0589 0.0589

D 1.0085 1.0085 1.0085 1.0085

Factor Z 1.0000 0.9140 0.8564 0.8530

Densidad [gr/cc] 0.0000 0.0503 0.1073 0.1615

X 5.2376 5.2376 5.2376 5.2376

2.9260 4.1586 5.6250

0.0589 0.0589 0.0589

1.0085 1.0085 1.0085

0.8968 0.9690 1.0540

0.2049 0.2370 0.2615

5.2376 5.2376 5.2376

6.4590

0.0589

1.0085

1.0985

0.2718

5.2376

DETERMINACION DEL M(P)

4899293051E-005x^2 + 0.1205436818x - 3.4433165933 30446

2000

3000 PRESION [PSI]

4000

5000

6000

Y 1.3525 1.3525 1.3525 1.3525

K 129.6371 129.6371 129.6371 129.6371

Viscosidad (cp)

0.0130 0.0142 0.0167 0.0202

Bg

(ft3/scf) 0.0166 0.0078 0.0051

P/ µ*Z 0.0000 76999.7107 139488.4171 173857.8176

ΔM (p)* 10^6 0.0000 76.9997 216.4881 313.3462

1.3525 1.3525 1.3525

129.6371 129.6371 129.6371

0.0239 0.0274 0.0304

0.0041 0.0035 0.0032

186269.1223 188526.4993 187033.8986

360.1269 374.7956 375.5604

1.3525

129.6371

0.0319

0.0031

185699.6821

186.3668

33

6000

7000

M(p) Acumulado (Mmpsi^2/cp)

0.0000 76.9997 293.4878 606.8341

M (p) Real (Mmpsi^2/cp) 0.0000 132.9620 318.8620 544.7620

966.9610 1341.7566 1717.3170

810.6620 1116.5620 1462.4620

1903.6838

1650.4120

EJERCICIO N

Calcular las propiedades del fluido y el Pseudo potencial con los siguientes datos DATOS

SGg= Ty= Py= RGC= API=

0.68 180 6500 65000 55

PESO MOLECULAR

PM g =PM aira∗γg

ºF psia PC/BBL PC/BBL

GAS HÚMEDO

YIELD

21.979919571 0.7587131367

SG del Condensado

SGg +

4591∗SG o

RGC 1123 1+ RGC 0.721129592

SGm= SG de la Mezcla

CALCULO DE LA PRESION DE ROCÍO

%C 7+ =10260∗( RGC∗SGg )−0 .8499 %C7

1.098769

K1 K2 K3 K4 K5 K6 K7 K8

346.77647 0.09741 -0.229478 -0.04783 0.28126 0.00068 1.90633 8.41763

[

( K 4∗T K 5 −K 6∗C7 + ) RGC K 2 Pd= K 1∗ ∗K 8∗API C K3 7+

Presión de Rocío

2986 PSI

]

REGION MONOFÁSICA CÁLCULOS Cálculo de la Pc y Tc

Pc= 677−15∗GEm− 37 .5∗GEm 2

Ppc =

669.86 psia

Tc=168+ 325∗GEm −12. 5∗GEm Tpc = 383.22 ºR

2

Cálculo de la Pr "para cada presión asumida" (la temperatura se asume contante)

Tpr =

T Tpc

Ppr =

P Ppc

Cálculo del factor z para cada presión asumida

Z =A +

1− A +CP D Pr exp B 0 .5

A =1. 39( T pr −0 . 92)

−0. 36 T pr −0 .101

B =( 0 .62−0 . 23T pr ) P pr +

(

0. 066 0 . 32 6 − 0 . 037 P2pr + 9 T −1 P pr ( pr ) T pr −0 . 86 10

C =0 .132 −0 . 32 log T pr D= anti log ( 0 .3106−0 . 49 T pr +0 . 182 4 T 2pr ) Cálculo de la densidad del gas para cada presión [gr/cc]

ρg= 0. 016018463374∗

PMg Z∗10 .732∗T

PM g = PM aira∗γg

PMg =

19.6945 lb/lbmol

de la viscosidad del gas para cada presión [cp] −4

μ=10

Donde:

Y K EXP ( Xρ )

)

X =3,5 + X =

986 + 0, 01 M T 5.23757

Y =2,4 − 0,2 X Y =

1.352486

K=

K =

( 9,4 +0, 02 M ) T 1,5 209 +19 M +T 129.63710029

Cálculo del factor volumétrico del gas para cada presión [ft3/scf]

B g = 0. 0283

ZT [ ft 3 / scf ] P

Cálculo del M(p)





P0 P1  1 * z1 0 * z0 2 

m( p1 )  2 *    



 * (P  P ) 1 0   

TABLA DE RESULTADOS Presión(psi)

Ppc(PSI)

Tpc(ºr)

Ppr

Tpr

660.67 660.67 660.67

383.22 383.22 383.22

0.0000 1.5136 3.0272

1.6701 1.6701 1.6701

2986

660.67

383.22

4.5197

1.6701

4000 5000 6000

669.86 669.86 669.86

383.22 383.22 383.22

5.9714 7.4642 8.9571

1.6701 1.6701 1.6701

6500

669.86

383.22

9.7035

1.6701

(p) [MMPSI^2/CP]

0 1000 2000

DET 1800 1600

f(x) = 2.06324899293051E-00

m(p) [MMPSI^2/C

DET 1800 1600

f(x) = 2.06324899293051E-00 R² = 0.9999830446

1400 1200 1000 800 600 400 200 0 0

1000

2000

EJERCICIO NO. 1

n los siguientes datos:

15.384615 BF/MMPC

REGION BIFÁSICA

Pc=756 . 8−131∗GEm−3 . 6∗ Ppc =

Tc=169 . 2+349 .5∗GEm− 7 Tpc =

387.0171924

Cálculo del factor z para cada presión A0

e contante)

+

660.67

A1 A2 A3 A4 A5

2.24353 -0.0375281 -3.56539 0.000829231 1.53428 0.131987

Z = Ao+ A 1*Pr +

0 . 32 10

9 ( T pr −1 )

6

P pr

A2 + A 3*P Tr

 m( p 2 )  2 *    

A



P2 P1  2 * z2 1 * z1 2 



 * (P  P ) 2 1   

B

C

D

Factor Z

-

-

-

-

0.5016 0.5016 0.5016

3.0080 4.2903 5.8351

0.0607 0.0607 0.0607

1.0023 1.0023 1.0023

0.5016

6.7257

0.0607

1.0023

Densidad [gr/cc]

0.6587 0.7235 0.7920

0.0000 0.0635 0.1160

0.8633

0.1589

0.8903 0.9638 1.0497

0.2064 0.2383 0.2625

1.0946

0.2728

DETERMINACION DEL M(P)

4899293051E-005x^2 + 0.1205436818x - 3.4433165933

DETERMINACION DEL M(P)

4899293051E-005x^2 + 0.1205436818x - 3.4433165933 0446

2000

3000 PRESION [PSI]

4000

5000

6000

IFÁSICA

31∗GEm−3 . 6∗GEm

2

psia

49 .5∗GEm− 74∗GEm2 ºR

z para cada presión asumida

r+

A2 A4 Pr + A 3*Pr 2 + + A 5∗ 2 Tr Tr Tr

3

X

Y

K

Viscosidad (cp)

Bg

(ft3/scf)

5.2376 5.2376 5.2376

1.3525 1.3525 1.3525

129.6371 129.6371 129.6371

0.0130 0.0147 0.0172

0.0131 0.0072

5.2376

1.3525

129.6371

0.0200

0.0052

5.2376 5.2376 5.2376

1.3525 1.3525 1.3525

129.6371 129.6371 129.6371

0.0241 0.0275 0.0306

0.0040 0.0035 0.0032

5.2376

1.3525

129.6371

0.0320

0.0030

3

6000

7000

P/ µ*Z

ΔM (p)* 10^6

0.0000 94017.4474 146594.5489

0.0000 94.0174 240.6120

172690.0377 186493.3098 188511.9838 186914.7615 185553.0667

M(p) Acumulado (MMPSI^2/CP)

M (p) Real (MMPSI^2/CP)

0 94 335

0 133 319

314.8138

649

541

364.2128 375.0053 375.4267

1014 1389 1764

811 1117 1462

186.2339

1950

1650

ZONA BIFÁSICA

ZONA MONOFÁSICA

DATOS 10477 psi

Presión de reservorio

270 ºF 59 0.65

Temperatura de reservorio API Gravedad específica gas

18.7135 LB/LB*MOL

PESO MOLECULAR

Choque Período de flujo

Duración (hrs)

Pwf (psia)

24 12 12 12 12 38

10477 7815 6009 4865 3978 6188

CK/64" estática inicial

12 16 20 24 16

flujo 1 flujo 2 flujo 3 flujo 4 FLUJO EXTENDIDO Sumatoria Metodo Lit

METODO DE FETKOV

n

log q1  log q 4     log p 2  p 2  log p 2  p 2  R R wf 1  wf 4   

Determinacion Coeficiente de Prueba e AOF n

0.787

C

0.000004

C 

p

AOF

9.13

Mscfd

AOF Sup.

Presion de Reservorio ^2

109.8 Mmpsi^2

PRUEBA ISOCRONAL 1000.00

Diferencial de Presion PSI^2

100.00

10.00

1.00

0.10 1

10

Inflow Performance Curve

q sc =0, 0197 ( Presion de fondo Pwf (psia) Asumida 10477.00 9429.30 8381.60 7333.90 6286.20 5238.50 4190.80 3143.10 2095.40 1047.70

2 2 0, 747 P R − Pwf

)

Caudal Qsc (Mmscfd) 0.00 2.47 4.09 5.38 6.43 7.28 7.96 8.48 8.84 9.06

CAUDAL DE GAS M

0.00

9.13

Pwf(psia)

Inflow Performance ISOCRO 12000.00

10000.00

8000.00

6000.00

4000.00

2000.00

0.00 0.00

1.00

2.00

3.00

4.00

5.00

6.00

Qsc(Mscfd)

Pwf(psia)

Inflow Performance 12000.00

10000.00

8000.00

6000.00

4000.00

2000.00

0.00

4000.00

2000.00

0.00 0.00

1.00

2.00

3.00

4.00

5.00

6.00

Qsc(Mmscfd)

0 1048 2095 3143 4191 5239 6286 7334 8382 9429 10477

Temperatura (oF) 270 270 270 270 270 270 270 270 270 270 270

Ppc Psi

(oR)

730 730 730 730 730 730 730 730 730 730 730

Tpc (oR)

667.71 667.71 667.71 667.71 667.71 667.71 667.71 667.71 667.71 667.71 667.71

371.29 371.29 371.29 371.29 371.29 371.29 371.29 371.29 371.29 371.29 371.29

7000

6000

5000

P) [MMPSI^2/CP)

Presion Psi

4000

3000

f(x) =

M(P) [MMPSI^2/

4000

3000

2000

1000

0 0

ANALISIS DE RESERVORIO-MÉTODOS DE

Prueba Isocronal Pcab (psia)

9030 5950 4380 3350 2460 4500

Qg (MMPCD)

Qo (BPD)

RGP (PC/BBL)

Qw (BPD)

4.817 6.296 7.337 8.08 6.281 26.53

72 88 98 109 89

66903 71545 74867 74128 70573

6 11 17 17 10

DE FETKOVITCH

C 

 p R2

qg 2  p wf

n

SOCRONAL 13.91

Dp / Qg (psi^2/Mmpcd)

11.91

100

CAUDAL DE GAS MMpcd

(

1000

Caudal(Assum) Qsc (Mmscfd) 0.00 0.91 1.83 2.74 3.65 4.57 5.48 6.39 7.31 8.22

1/ n 0,5

( ) )

q sc pwf = p 2 − R C

Presion de fondo Pwf (psia) 10477.00 10192.12 9775.61 9273.09 8689.01 8016.65 7239.22 6324.31 5205.47 3708.42

9.91 7.91 5.91 3.91 1.91 -0.09 4

9.13

0.00

ce ISOCRONAL

5.00

6.00

Mscfd)

ormance

7.00

8.00

9.00

10.00

5.00

6.00

7.00

8.00

9.00

10.00

mscfd)

CÁLCULO DEL PSEUDOPOTENCIAL Ppr

0 1.5695548298 3.1376119927 4.7071668225 6.2767216523 7.846276482 9.414333645 10.9838884747 12.5534433045 14.1215004675 15.6910552972

Tpr

1.966111509 1.966111509 1.966111509 1.966111509 1.966111509 1.966111509 1.966111509 1.966111509 1.966111509 1.966111509 1.966111509

A

0.6128861959 0.6128861959 0.6128861959 0.6128861959 0.6128861959 0.6128861959 0.6128861959 0.6128861959 0.6128861959 0.6128861959 0.6128861959

B

C

0 0.319206317 0.749636579 1.292118208 1.946313637 2.712275549 3.589222366 4.579026502 5.681227362 6.895106477 8.223700445

0.038045393 0.038045393 0.038045393 0.038045393 0.038045393 0.038045393 0.038045393 0.038045393 0.038045393 0.038045393 0.038045393

M(p)

f(x) = 2.65958577158334E-005x^2 + 0.3648477465x

0

2000

4000

6000

PRESION (PSI)

8000

O-MÉTODOS DE PRUEBA

y = 3E-05x2 + 0,364x - 214,2 3.00E-05 0.364 -214.2

A B C

ocronal Diferencial Presion (P^2) MMPSI^2

Pseudo Potencial M(p) MMPSI^2/cp

DP^2/Q (MMPSIA^2/MMPCD)

109.77 48.69 73.66 86.10 93.94 71.48

6892 4463 3056 2267 1709 3187

10.11 11.70 11.73 11.63 11.38

METODO JONES, BLOUNT AND GLAZE

2 2 PR −P wf =4172 , 4

q+0, 0283 q

Determinacion de coeficientes "A" e "B" e AOF

A B B' B'/B

0.4652091846 8.3157 12.43 1.4942111753

Mmpsia^2/Mmscfd Mmpsia^2/Mmscfd

2

8.834

AOF Tras.

Mmscfd

METODO DE JONES, BLOUNT & GLAZ 13.91

Dp / Qg (psi^2/Mmpcd)

11.91 9.91 7.91 5.91 3.91 1.91 -0.09 4

6

8

Ecuacion General Inflow Performance Curve

q=

+ −A −

√A

2

+ 4 B ( p2R − p2wf ) 2B

Presion de fondo Pwf (psia) Asumida

10477.00 9429.30 8381.60 7333.90 6286.20 5238.50 4190.80 3143.10 2095.40 1047.70

Caudal Qsc (Mmscfd) 0.00 2.23 3.90 5.21 6.26 7.09 7.74 8.23 8.57 8.77

10

12

Caudal de Gas Mmpcd

14

0.00

8.83

Inflow Performance (IPR) JONES, BLOUN 12000.00

10000.00

Pwf(psia)

8000.00

6000.00

4000.00

2000.00

0.00 0.00

1.00

2.00

3.00

4.00

5.00

Qsc(Mmscfd

Inflow Performance

12000.00

Pwf(psia)

10000.00

8000.00

6000.00

4000.00

2000.00

0.00

Pwf(

6000.00

4000.00

2000.00

0.00 0

2

4

6

Qsc(Mmscfd)

NCIAL D

FACTOR

DENSIDAD grs/cc

Z

1.1279498512 1.1279498512 1.1279498512 1.1279498512 1.1279498512 1.1279498512 1.1279498512 1.1279498512 1.1279498512 1.1279498512 1.1279498512

1 0.9574715546 0.9339909798 0.9375657843 0.9702338805 1.0271267799 1.1007644262 1.1846956931 1.2743694822 1.3671717518 1.4620487885

0.3648477465x - 214.2594661677

0 0.0418804174 0.0858256189 0.1282679725 0.1652786753 0.1951641051 0.218502087 0.2368698007 0.251667939 0.2638870985 0.2741894102

8000

(PSI)

10000

12000

ECUACIÓN DEL M(p) (VER FINAL DE LA HOJA)

Diferencial Del M(p) MMPSI¨2/cp

Del M(p)/Qg

Qg^2

MMPSI^2/cp/MMPCD

MMPCD^2

2430 3836 4626 5184 3705 16076

504.42 609.30 630.47 641.58 589.95 2385.76

23.20 39.64 53.83 65.29 39.45 181.96

puntos válidos a tomar

4

BLOUNT AND GLAZE

0, 0283 q

Obtencion de lo

2 At=

∑

Δ m ( p) q N∑

B" e AOF Coeficiente Laminar

Coeficiente Turbulento

Potencial transiente Potencial Estabilizado

Ecuacion del pseudo

m ( p R ) −m ( p wf ) =

ES, BLOUNT & GLAZE

650.00

600.00

12

dal de Gas Mmpcd

cambiar formula en ves de a b

Caudal(Assum) Qsc (Mmscfd) 0.00 0.88 1.77 2.65 3.53 4.42 5.30 6.18 7.07 7.95

14

16

√

pwf = p2R −( Aq+ Bq2 ) Presion de fondo Pwf (psia)

10477 10102 9676 9190 8636 7998 7254 6368 5269 3774

18

D m(p)/Qsc (psia^2/cp/scfd)

0

700.00

550.00

500.00

450.00

400.00

350.00

300.00

250.00

200.00

150.00

100.00

50.00

0.00

Inflow Performance Curve

Presion de fond Pwf (psia) As 10477.00 9429.30 8381.60 7333.90 6286.20 5238.50 4190.80 3143.10 2095.40 1047.70

0

8.83

0.00

(IPR) JONES, BLOUNT AND GLAZE

3.00

AOF

AOF 4.00

5.00

6.00

7.00

Qsc(Mmscfd)

nflow Performance LIT AOF

8.00

9.00

10.00

4

6

8

10

12

Qsc(Mmscfd)

X

5.0378199315 5.0378199315 5.0378199315 5.0378199315 5.0378199315 5.0378199315 5.0378199315 5.0378199315 5.0378199315 5.0378199315 5.0378199315

Y

1.3924360137 1.3924360137 1.3924360137 1.3924360137 1.3924360137 1.3924360137 1.3924360137 1.3924360137 1.3924360137 1.3924360137 1.3924360137

K

83.564347667 83.564347667 83.564347667 83.564347667 83.564347667 83.564347667 83.564347667 83.564347667 83.564347667 83.564347667 83.564347667

VISCOSIDAD CP 0.0083564348 0.0088797443 0.0098551043 0.0111525752 0.0126020494 0.0140249981 0.0153181396 0.0164631078 0.0174759153 0.0183783589 0.0191891323

Bg scf/cf 0 53.0031841175 108.6195260187 162.3338875806 209.1740391818 246.9965595084 276.5327349034 299.7786186157 318.506904874 333.9712770499 347.0097174347

2000

METODO LIT

tencion de los coeficiente laminar y turbulento "A" y "B"

=

∑

Δ m ( p) 2 q −∑ Δ m ( p ) ∑ q ∑ q N ∑ q2 −∑ q ∑ q

B=

N ∑ Δ m ( p )−∑

Δ

N ∑ q 2 −∑ q ∑

Coeficientes Laminar e Turbulento "A" e "B"

iciente Laminar

A A'

317.856895494 326.13

MMpsia^2/cp/MMscfd MMpsia^2/cp/MMscfd

iciente Turbulento

B

42.0025746416

MMpsia^2/cp/(MMscfd)^2

ncial transiente

AOF trans.

9.57

Mmscfd

ncial Estabilizado

AOF Est.

9.50

Mmscfd

acion del pseudo potencial

m ( p R ) −m ( p wf ) =

317.857

q sc



42.003

2

q sc

METODO LIT 700.00 650.00 600.00 550.00 500.00 450.00 400.00 350.00 300.00 250.00 200.00 150.00 100.00 50.00 0.00 4

5

6

7

8

9

10

Qsc (MMscfd)

w Performance Curve

Pseudo Presio Delta M(p) M(P) (MmPSI/Mmpsi/cp 3404 3488 2958 3935 2532 4361 2125 4767 1739 5154 1372 5521 1025 5868 698 6195 391 6502 103 6789

Caudal de Gas MMscfd 6.08 6.61 7.09 7.52 7.92 8.29 8.63 8.94 9.22 9.48

11

12

13

-164

10.00

7057

9.72

12

P/UZ

DEL M(P)

PSI/CP

PSI/CP

0 123264 227604 300585 342768 363682 372798 376030 376368 375263 373439

0 129180281.154383 367358531.391898 553542319.390072 674233880.472108 740359175.723568 771094675.349699 784771898.403066 788512604.982763 786957434.687325 784639834.481791

M(P) PSI/CP

M(P) MMPSI^2/CP

0 129180281 496538813 1050081132 1724315012 2464674188 3235768863 4020540762 4809053367 5596010802 6380650636

0 129 497 1050 1724 2465 3236 4021 4809 5596 6381

IT

A" y "B" Δ m ( p) ∑q q N ∑ q 2 −∑ q ∑ q

N ∑ Δ m ( p )−∑

B"

^2/cp/MMscfd ^2/cp/MMscfd

^2/cp/(MMscfd)^2

11

12

13

14

15

Pseudo Presion Caudal de gas Mmpcd Asumida M(P) (MmPSI/cp) 0 6892 6550 0.96 6130 1.91 5633 2.87 5059 3.83 4409 4.79 3681 5.74 2876 6.70 1994 7.66 1036 8.62

9.57

0

DATOS 10477 psi

Presión de reservorio

220 ºF 50 0.65 50000 pc/bbl 18.7135 LB/LB*MOL

Temperatura de reservorio API Gravedad específica gas Relación Gas-Condensado PESO MOLECULAR

Choque PERIODO DE FLUJO

Duración (hrs)

Pwf (psia)

24 12 12 12 12 38

10477 7815 6009 4865 3978 6188

CK/64" estática inicial

12 16 20 24 16

flujo 1 flujo 2 flujo 3 flujo 4 FLUJO EXTENDIDO Sumatoria Metodo Lit

METODO DE FETKOVIT

n

log q1  log q 4     log p 2  p 2  log p 2  p 2  R wf 1  wf 4    R

Determinacion Coeficiente de Prueba e AOF n

0.787

C 

 p R2

C AOF

0.000004 9.13

Mscfd

Presion de Reservorio ^2

109.8 Mmpsi^2

PRUEBA ISOCRONAL 1000.00

Diferencial de Presion PSI^2

100.00

10.00

1.00

0.10 1

10

Inflow Performance Curve

q sc =0, 0197 ( Presion de fondo Pwf (psia) Asumida 10477.00 9429.30 8381.60 7333.90 6286.20 5238.50 4190.80 3143.10

2 2 0, 747 P R − Pwf

)

Caudal Qsc (Mmscfd) 0.00 2.47 4.09 5.38 6.43 7.28 7.96 8.48

CAUDAL DE GAS MM

2095.40 1047.70 0.00

8.84 9.06 9.13

Pwf(psia)

Inflow Performance ISOCRON 12000.00

10000.00

8000.00

6000.00

4000.00

2000.00

0.00 0.00

1.00

2.00

3.00

4.00

5.00

6.00

Qsc(Mscfd)

Pwf(psia)

Inflow Performance 12000.00

10000.00

8000.00

6000.00

4000.00

2000.00

6000.00

4000.00

2000.00

0.00 0.00

1.00

2.00

3.00

4.00

5.00

6.00

Qsc(Mmscfd)

Temperatura

0 1048 2095

(oF) 220 220 220

2789 4191 5239 6286 7334 8382 9429 10477

220 220 220 220 220 220 220 220

Ppc Psi

(oR)

Tpc (oR)

680 680 680

662.56 662.56 662.56

379.00 379.00 379.00

680 680 680 680 680 680 680 680

668.91 668.91 668.91 668.91 668.91 668.91 668.91 668.91

391.14 391.14 391.14 391.14 391.14 391.14 391.14 391.14

7000

6000

5000

P) [MMPSI^2/CP)

Presion Psi

4000

3000

2000

f(x) = 2

M(P) [MMPSI^2/C

4000

3000

2000

1000

0 0

ANALISIS DE RESERVORIO-MÉTODOS DE PR

SG del Condensado

0.77961433

SG de la Mezcla

0.70573341

y = 2E

20.445097

PMm

GAS HÚMEDO

YIELD

20 BF/MMPC

Prueba Isocronal Pcab (psia)

Qg (MMPCD)

Qo (BPD)

RGP (PC/BBL)

Qw (BPD)

4.817 6.296 7.337 8.08 6.281 26.53

72 88 98 109 89

66903 71545 74867 74128 70573

6 11 17 17 10

9030 5950 4380 3350 2460 4500

DE FETKOVITCH

C 

 p R2

qg 2  p wf

n

B A

A´ A´/A

ISOCRONAL 13.91

Dp / Qg (psi^2/Mmpcd)

11.91

100

CAUDAL DE GAS MMpcd

(

pwf =

Caudal(Assum) Qsc (Mmscfd) 0.00 0.91 1.83 2.74 3.65 4.57 5.48 6.39

p2 R−

1000

1 / n 0,5

( ) ) q sc C

Presion de fondo Pwf (psia) 10477.00 10192.12 9775.61 9273.09 8689.01 8016.65 7239.22 6324.31

9.91 7.91 5.91 3.91 1.91 -0.09 4.5

7.31 8.22 9.13

5205.47 3708.42 0.00

ce ISOCRONAL

5.00

6.00

Mscfd)

ormance

7.00

8.00

9.00

10.00

0

6.00

7.00

8.00

9.00

10.00

mscfd)

CÁLCULO DEL PSEUDOPOTENCIAL Ppr

Tpr

A

B

C

0 1.5817533094 3.1619973122

1.7942074921 1.7942074921 1.7942074921

-

-

-

4.169050446 6.2654284471 7.8321593019 9.3973951846 10.9641260394 12.5308568942 14.0960927768 15.6628236317

1.7385185556 1.7385185556 1.7385185556 1.7385185556 1.7385185556 1.7385185556 1.7385185556 1.7385185556

0.5306943 0.5306943 0.5306943 0.5306943 0.5306943 0.5306943 0.5306943

2.88032036 4.0796225 5.48545738 7.12232105 9.02475209 11.2451855 13.8672336

0.055142614 0.055142614 0.055142614 0.055142614 0.055142614 0.055142614 0.055142614

M(p)

f(x) = 2.10681300962853E-005x^2 + 0.4336426411x

0

2000

4000

6000

PRESION (PSI)

8000

-MÉTODOS DE PRUEBA

y = 2E-05x2 + 0,433x - 233,0

ECUACIÓN DEL M(p) (ver final de la

2.00E-05 0.433 -233

A B C

cronal Diferencial Presion (P^2) MMPSI^2

DP^2/Q (MMPSIA^2/MMPCD)

109.77 48.69 73.66 86.10 93.94 71.48

Pseudo Potencial M(p) MMPSI^2/cp

Diferencial Del M(p) MMPSI¨2/cp

6499 4372 3091 2347 1806 3212

10.11 11.70 11.73 11.63 11.38

2127 3408 4152 4693 3287 14379

METODO JONES, BLOUNT AND GLAZE

2 2 PR −P wf =4172 , 4

q+0, 0283 q

Determinacion de coeficientes "A" e "B" e AOF

A B

0.4652091846 8.3157

Mmpsia^2/Mmscfd

2

B' B'/B AOF Tras.

12.43 1.4942111753 8.834

Mmpsia^2/Mmscfd Mmscfd

METODO DE JONES, BLOUNT & GLAZE 13.91

Dp / Qg (psi^2/Mmpcd)

11.91 9.91 7.91 5.91 3.91 1.91 -0.09 4.5

5

5.5

6

6.5 7 Caudal de Gas Mmpcd

Ecuacion General Inflow Performance Curve

q=

+ −A −

√ A + 4 B( p 2

10477.00 9429.30 8381.60 7333.90 6286.20 5238.50 4190.80 3143.10

)

cambiar formula en ves de a b

2B

Presion de fondoCaudal Pwf (psia) Asumida

2 2 R − pwf

Qg >Asumido

Qsc (Mmscfd) 0.00 2.23 3.90 5.21 6.26 7.09 7.74 8.23

(MMPCD)) 0.00 0.88 1.77 2.65 3.53 4.42 5.30 6.18

7.5

2095.40 1047.70 0.00

7.07 7.95 8.83

8.57 8.77 8.83

Inflow Performance (IPR) JONES, BLOUN 12000.00

10000.00

6000.00

4000.00

2000.00

0.00 0.00

1.00

2.00

3.00

4.00

5.00

Qsc(Mmscfd)

Inflow Performance L

12000.00

10000.00

Pwf(psia)

Pwf(psia)

8000.00

8000.00

6000.00

4000.00

Pwf(psia

8000.00

6000.00

4000.00

2000.00

0.00 0

2

4

6

Qsc(Mmscfd)

NCIAL D

FACTOR

-

Z 0.7329687211 0.7920414807 0.8552013143

1.0233405849 1.0233405849 1.0233405849 1.0233405849 1.0233405849 1.0233405849 1.0233405849

0.8748050994 0.9176416336 0.9917722873 1.0786564205 1.1704175703 1.2637367594 1.3575124044 1.4516666704

DENSIDAD grs/cc

X 0 0.0543504197 0.1006248425

5.137135 5.137135 5.137135

0.1309429969 0.1876005458 0.216983133 0.2393761016 0.2573887845 0.2724460929 0.2853063089 0.2964555493

5.137135 5.137135 5.137135 5.137135 5.137135 5.137135 5.137135 5.137135

0.4336426411x - 233.0488916082

SI)

8000

10000

12000

N DEL M(p) (ver final de la hoja)

Del M(p)/Qg

Qg^2

MMPSI^2/cp/MMPCD

MMPCD^2

441.46 541.27 565.90 580.81 523.27 2129.43

23.20 39.64 53.83 65.29 39.45 181.96

puntos válidos a tomar

4

NT AND GLAZE

Obtencion de los coefic

At=

∑

Δ m ( p) 2 q −∑ ∑ q N ∑ q2 −∑ q ∑

Coeficientes L Coeficiente Laminar

Coeficiente Turbulento Potencial transiente Potencial Estabilizado

Ecuacion del pseudo potencial

m ( p R ) −m ( p wf ) =

LOUNT & GLAZE

700.00 650.00

7 Gas Mmpcd

7.5

√

8

pwf = p2R −( Aq+ Bq2 )

8.5

D m(p)/Qsc (psia^2/cp/scfd)

600.00 550.00 500.00 450.00 400.00 350.00 300.00 250.00 200.00 150.00 100.00 50.00 0.00 4

Inflow Performance Curve

Pwf (psia)

Pwf (psia) Asumida

10477 10102 9676 9190 8636 7998 7254 6368

10477.00 9429.30 8381.60 7333.90 6286.20 5238.50 4190.80 3143.10

5

5269 3774 0

2095.40 1047.70 0.00

) JONES, BLOUNT AND GLAZE

AOF

AOF 4.00

5.00

6.00

Qsc(Mmscfd)

w Performance LIT AOF

7.00

8.00

9.00

10.00

4

6

8

10

12

Qsc(Mmscfd)

Y

K

VISCOSIDAD CP 1.372573 76.7920288087 0.0076792029 1.372573 76.7920288087 0.0084389296 1.372573 76.7920288087 0.0095661559

0 68.7850189193 127.3491859235

1.372573 1.372573 1.372573 1.372573 1.372573 1.372573 1.372573 1.372573

165.7193556098 237.4242402139 274.6103711101 302.9505527541 325.7471151535 344.8034031116 361.0790860201 375.1893858165

76.7920288087 76.7920288087 76.7920288087 76.7920288087 76.7920288087 76.7920288087 76.7920288087 76.7920288087

0.0105266346 0.012873208 0.0144306266 0.0158060714 0.017047129 0.0181869537 0.0192411561 0.0202200637

Bg pcs/pc

Cálculo del factor z para cada presión asumida A0 A1 A2 A3 A4 A5

Z = Ao + A 1 *Pr +

2.24353 -0.0375281 -3.56539 0.000829231 1.53428 0.131987

A2 A4 Pr + A 3 *Pr 2 + + A 5∗ 2 Tr Tr Tr

Z = Ao + A 1 *Pr +

A2 A4 Pr + A 3 *Pr 2 + + A 5∗ 2 Tr Tr Tr

CALCULO DE LA PRESION DE ROCÍO

−0 .8499

%C 7+ =10260∗( RGC∗SGg ) %C7

1.398697358

[

K2

RGC Pd= K 1∗ ∗K 8∗API C K3

K7

346.77647 0.09741 -0.229478 -0.04783 0.28126 0.00068 1.90633

K8

8.41763

K2 K3 K4 K5 K6

7+

7+

K7)

]

2788.71 PSI

Presión de Rocío K1

( K 4∗T K 5 −K 6∗C

METODO LIT

encion de los coeficiente laminar y turbulento "A" y "B"

=

∑

Δ m ( p) 2 q −∑ Δ m ( p ) ∑ q ∑ q N ∑ q2 −∑ q ∑ q

B=

Δ m ( p) ∑q q N ∑ q 2 −∑ q ∑ q

N ∑ Δ m ( p )−∑

Coeficientes Laminar e Turbulento "A" e "B"

ente Laminar

A A'

249.648399009 MMpsia^2/cp/MMscfd 255.54 MMpsia^2/cp/MMscfd

ente Turbulento

B

42.6249572164 MMpsia^2/cp/(MMscfd)^2

ial transiente

AOF trans.

9.76

Mmscfd

ial Estabilizado

AOF Est.

9.71

Mmscfd



42.625

cion del pseudo potencial

m ( p R ) −m ( p wf ) =

249.648

q sc

2

q sc

METODO LIT 700.00 650.00 600.00 550.00 500.00 450.00 400.00 350.00 300.00 250.00 200.00 150.00 100.00 50.00 0.00 4

5

6

7

8

9

10

11

12

Qsc (MMscfd)

Performance Curve

Delta M(p) M(P) (MmPSI/cp) Mmpsi/cp 6499 0 5628 871 4801 1698 4018 2481 3279 3220 2584 3915 1933 4566 1326 5173

Qg MMscfd 0.00 2.46 4.03 5.24 6.24 7.09 7.83 8.47

Qg Mmpcd 0 0.98 1.95 2.93 3.90 4.88 5.86 6.83

13

14

15

762 243 0

10.00

5737 6256 6499

9.04 9.54 9.76

7.81 8.79 9.76

12

P/UZ

DEL M(P)

PSI/CP

Pr A 5∗ Tr

PSI/CP

M(P) PSI/CP

M(P) MMPSI^2/CP

0 156793 256082

0 164318807 432279349

0 164318807 596598155

0 164 597

302833 354779 366059 368695 367577 364696 360986 356934

387727021 922159672 755438238 769287621 771613547 767422612 759789388 752380084

984325176 1906484848 2661923086 3431210708 4202824255 4970246866 5730036255 6482416338

984 1906 2662 3431 4203 4970 5730 6482

dew point

Pr A 5∗ Tr

5 −K 6∗C

7+

K7)

]

" y "B"

Δ m ( p) ∑q q 2 −∑ q ∑ q

−∑

12

13

14

M(P) (MmPSI/cp) 6499 6215 5849 5402 4874 4265 3574 2803

15

1950 1015 0

Datos de Reservorio Presion de Reservorio

10477.00 191.00 138.00 134.00 21.00 0.354 1200.00 0.20 21.00 8.10 0.50

Pr

Temperatura de Reservorio

Tr

Temperatura Fluyente en Cabeza

Tc

Espesor Neto Permeable

Hn

Espesor Perforado

Hp

Radio de pozo

Rw

Radio de Drene

Rd

Porosidad

%

Permeabilidad del Gas

Kg

Dano de Formacion

S

Saturacion de agua

Sw

Permeabilidad relativa al Gas

0.25 0.20 0.881 0.021 0.063 12.00 0.40

Krg

Saturacion irreductible

Swi

Penetracion de la Bala

Lp

Rp Rc Densidad de las Perforaciones Tipo de perforacion sobre o bajo balance

psia oF oF pies pies pies pies % md % % % pies pies pies

balas/pie %

Datos de Fluido Gravedad Especifica del Gas

SGg

Gravedad del Condensado

API

Relacion Gas Condendado

0.66 60.0 90000 Pc/Bbl

RGC

BLOUNT GLAZE

2

2

PR − P wf = A q+ B q

2

−12

A=

3 . 16∗10

∗β∗SGg∗Tr∗Z hp 2∗rw

( (

1. 424∗103∗μ∗Tr∗Z∗ ln 0 . 472 B=

K∗h

) )

re +S rw

( (

1. 424∗103∗μ∗Tr∗Z∗ ln 0 . 472 B=

K∗h

2 . 33∗10 β= K 1 . 201

q=

−A

+ −

√A

2

3.18E+09 6.02E+08

Beta psi^-1 PRESION ASUMIDA PSIA

Term. Turb.

Term. Flujo Darcy B

A

0

0.00797 0.00745 0.00693 0.00642 0.00590 0.00541 0.00499 0.00472 0.00470 #VALUE! #VALUE!

309.1 272.7 237.6 204.0 171.9 141.9 114.5 91.4 75.1 #VALUE! #VALUE!

12000

10000

Presion Psi

10477 9429 8382 7334 6286 5239 4191 3143 2095 1048

10

+ 4 B ( p2R − p2 wf ) 2B

8000

6000

) )

re +S rw

Pr 6000

4000

2000

0 0.00

Presion

Temperatura

Psi 10477 9429 8382 7334 6286 5239 4191 3143 2095 1048

(oF) 191 191 191 191 191 191 191 191 191 191

0

191

100.00

651 651 651 651 651 651 651 651 651 651 651

Ppc Psi 665.103004402 665.103004402 665.103004402 665.103004402 665.103004402 665.103004402 665.103004402 665.103004402 665.103004402 665.103004402 665.103004402

(oR)

Ppc Psi

(oR)

CALCULO DEL M(p) Presion Psi 0 1048 2095 3143 4191 5239 6286 7334 8382 9429 10477

Temperatura (oF) 191 191 191 191 191 191 191 191 191 191 191

651 651 651 651 651 651 651 651 651 651 651

665.10 665.10 665.10 665.10 665.10 665.10 665.10 665.10 665.10 665.10 665.10

MÉTODO DE RE

RESERVORIO DE

SGg +

RGC 1123 1+ RGC

SGm =

SG del Condensado SG de la Mezcla PMm GAS SECO

4591∗SG o

0.7389033943 0.6890939223 19.9630509294

11.11

YIELD

GLAZE

BLOUNT GLAZE (PERFORACIONES)

(

−12

3 . 16∗10

Tr∗Z

(

ln 0 . 472

A=

) )

re +S rw

∗β∗SGg∗Tr∗Z∗

1 Rp

Lp 2

(

1. 424∗103∗μ∗Tr∗Z∗ ln B=

Kp∗Lp

R R

(

ln 0 . 472

∗10

) )

re +S rw

2. 33∗10 β= Kp 1 . 201

10

201

p2R −

p2 wf

q=

)

−A −+

Beta psi^-1 Pr^2-Pwf^2 PSI^2 0 20855831 39516310 55981440 70251219 82325647 92204724 99888451 105378504 108669854 109767529

CAUDAL CALCULADO MMPCD 0.00 37.68 60.28 78.86 95.49 110.90 124.94 136.18 141.94 #VALUE! #VALUE!

Termino

√

10

A 2 + 4 B ( p2R − p2wf ) 2B 1.81E+09

Termino

A

B

153 143 133 123 113 104 96 90 90 78 72

8340 7359 6412 5504 4640 3829 3090 2467 2191 1533 1236

Comparacion Metodos IPR Reservorio

100.00

200.00

300.00

400.00 Caudal de Gas MMPCD

Tpc (oR) 380.4491883491 380.4491883491 380.4491883491 380.4491883491 380.4491883491 380.4491883491 380.4491883491 380.4491883491 380.4491883491 380.4491883491 380.4491883491

Tpc (oR)

380.45 380.45 380.45 380.45 380.45 380.45 380.45 380.45 380.45 380.45 380.45

Ppr

Tpr

A

15.752447261 14.1772025349 12.6019578088 11.0267130827 9.4514683566 7.8762236305 6.3009789044 4.7257341783 3.1504894522 1.5752447261 0

1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053

0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894

Ppr

Tpr

A

0 1.5756957841 3.1498880416 4.7255838257 6.3012796097 7.8769753938 9.4511676513 11.0268634354 12.6025592194 14.176751477 15.752447261

1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053 1.7111352053

0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894 0.5193376894

3500

f(x) = 8.78516306649292E-00 M(P) [MMPSI^^/CP]

3000

2500

2000

1500

1000

500

0 0

2000

4000

TODO DE RESERVORIO

SERVORIO DE GAS SECO

∗SG o

GC 3 C

BF/MMPC

GLAZE (PERFORACIONES)

METODO DE DARCY

(

∗β∗SGg∗Tr∗Z∗

1 1 − Rp Rc

Lp 2

(

03∗μ∗Tr∗Z∗ ln Kp∗Lp

Rc Rp

)

)

[

]

703∗10−6∗Kg∗hn∗( Pr−Pwf 2 ) q= ∗Fk re μg∗Tr∗Z∗ ln −0. 75+S rw

(

(( √

Fk=1− f 1+7∗

)

)

( rw ) *cos ( f ∗90 ) 2∗f ∗Hn

)

3∗10 p 1. 201

2

+4 B(

(( √

Fk=1− f 1+7∗

10

p2R − p2wf

hp f= hn

)

2B

f= FK=

Caud./Perf. MPCD 0.0 149.5 239.2 312.9 378.9 440.1 495.8 540.4 563.2 #VALUE! #VALUE!

)

( rw ) *cos ( f ∗90 ) 2∗f ∗Hn

0.16 0.8399918978

PRESION Fluy.Fondo PSI

CAUDAL CALCULADO MMPCD

Caud./Perf.

10477 9199 7817 6325 4636 2373

0.00 12.61 27.42 45.25 67.36 95.65 132.75 180.18 231.21 #VALUE!

0.00 50.03 108.80 179.58 267.30 379.57 526.79 715.00 917.51 #VALUE!

#VALUE!

#VALUE!

MMPCD

os IPR Reservorio de Gas Seco Column B Column J Column B Darcy con perforaciones Pseudo presión Pseudo presión con perforaciones

)

400.00

500.00

600.00

700.00

dal de Gas MMPCD

B

C

D

15.572869377 12.3931270314 9.802249008 7.6553766785 5.8527081678 4.3289928929 3.0444268312 1.9769485154 1.1159357578 0.4573031013 0

0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902

1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431

B

C

D

FACTOR Z 1.45930 1.36403 1.26893 1.17417 1.08057 0.99099 0.91329 0.86305 0.86049 #VALUE! #VALUE!

FACTOR Z

0 0.4574628644 1.1156458085 1.9768565855 3.0446508468 4.3296606773 5.8523922966 7.6555638847 9.8031458084 12.3923090233 15.572869377

0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902 0.05734902

1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431 1.0143970431

1 0.9145008718 0.8605041934 0.8630464517 0.9133005099 0.9910304073 1.0805478318 1.1741805925 1.2689616488 1.3639998097 1.459304048

M(p)

6306649292E-006x^2 + 0.2442758305x - 130.1770788667

4000

6000

PRESION [PSI]

8000

10000

E DARCY

METODO DE LA PSEUDO PRESION

]

hn∗( Pr−Pwf 2 ) ∗Fk re −0. 75+S rw

)

)

( rw ) *cos ( f ∗90 ) ∗f ∗Hn

)

703∗10

2

−6

∗Hn∗ K∗( Mpr − Mp rd T ∗Z ∗U∗ ln −0 . 75 +S rw

( (

)

¿¿ ¿ Qsc = ( ¿ )∗1000∗Fk

)

( rw ) *cos ( f ∗90 ) ∗f ∗Hn

ciones

on perforaciones

)

y = 9E-06x2 + 0,244x - 130,1

ECUACION PSEUDOPOTENCIAL

obtenida de la hoja de cálculo M(

a= b= c=

PRESION Fluy.Fondo PSI 10477 9391 8245 6988 5494 3319

SEUDOPRESION ASUMIDA (M(p)) PSIA/cp

9.00E-06 0.244 -130.1

CAUDAL CALCULADO MMPCD

Caud./Perf. MPCD

3414 2971 2547 2143 1759 1395 1051 726 421 135

0.00 73.11 142.96 209.56 272.89 332.97 389.79 443.35 493.67 540.70

0 290 567 832 1083 1321 1547 1759 1959 4105

-130

584.49

4278

700.00

DENSIDAD grs/cc 0.32861 0.31641 0.30233 0.28589 0.26627 0.24195 0.21003 0.16669 0.11146 #VALUE! #VALUE!

DENSIDAD grs/cc 0 0.0524525398 0.1114346875 0.166686172 0.2100357995 0.2419640148 0.2662684707 0.2858876345 0.3023350673 0.3164030705 0.3286098069

X

Y

K

5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432

1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114

131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958

X

Y

K

5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432 5.2142234432

1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114 1.3571553114

131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958 131.3375985958

x - 130.1770788667

00

10000

12000

ON

2

pr − Mpwf

−0 . 75 +S

∗Fk

)

2

)

ON PSEUDOPOTENCIAL

a hoja de cálculo M(p)

PRESION Fluy.Fondo PSI 10477 8645 4878 #VALUE! #VALUE!

VISCOSIDAD

Bg

CP 0.041539681 0.0392128842 0.0367261045 0.0340670482 0.0312084431 0.0280835165 0.0245915087 0.0207706813 0.0171264979 #VALUE!

PCS/pc 389.851838183 375.37460991 358.67348666 339.165640182 315.897028652 287.042555622 249.171156826 197.756622193 132.229231243 #VALUE!

#VALUE!

#VALUE!

VISCOSIDAD CP 0.0131337599 0.0144489592 0.0171252479 0.0207703125 0.0245922135 0.028085088 0.031207875 0.0340673108 0.0367270858 0.0392121955 0.041539681

Bg scf/cf 0 62.2279635135 132.202438479 197.750977638 249.17954605 287.058127832 315.892132764 339.167661729 358.680353598 375.370168739 389.851838183

pc/PCS 0.00256508 0.00266401 0.00278805 0.00294841 0.00316559 0.0034838 0.00401331 0.00505672 0.00756262 #VALUE! #VALUE!

P/UZ

DEL M(P)

PSI/CP

PSI/CP

0 0 79312 83119299.7 142165 231887250 175334 332739899 186598 379304884 188229 392817994 186409 392245263 183345 387501474 179851 380628930 176291 372880612 172834 365882518

M(P) PSI/CP

0 83119300 315006550 647746449 1027051333 1419869327 1812114590 2199616065 2580244995 2953125607 3319008125

M(P)

Recalculo

MMPSI^2/CP

MMPSI^2/CP

0 83 315 648 1027 1420 1812 2200 2580 2953 3319

0 135 421 726 1051 1395 1759 2143 2547 2971 3414

Datos de Reservorio Presion de Reservorio

10477.00 psia

Temperatura de Reservorio

Tr

191.00 o F

Espesor Neto Permeable

H

134.00 pies

Espesor Perforado

21.00 pies

Radio de pozo

0.354 pies

Radio de Drene

1200.00 pies

Porosidad

0.20 %

Permeabilidad del Gas

21.00 md

Dano de Formacion

S

8.10

Saturacion de agua

0.50 %

Permeabilidad relativa al Gas

Krg

Penetracion de la Bala

0.25 % 0.881 pies

Lp

Rp

0.021 pies

Rc

0.063 pies

Densidad de las Perforaciones

12.00

balas/pie 0.40 %

Tipo de perforacion sobre o bajo balance Datos de Fluido Gravedad Especifica del Gas

SGg

0.66

Gravedad del Condensado

API

60.0

Relacion Gas Condendado

50000

RGC

Pc/Bbl

BLOUNT GLAZE

2

2

PR −P wf = A q+ B q

2

−12

A=

3 . 16∗10

∗β∗SGg∗Tr∗Z hp 2∗rw

((

1. 424∗103∗μ∗Tr∗Z∗ ln 0 . 472 B=

K∗h

) )

re +S rw

((

1. 424∗103∗μ∗Tr∗Z∗ ln 0 . 472 B=

K∗h

2 . 33∗10 β= K 1 . 201

q= Beta psi^-1 PRESION ASUMIDA PSIA

+ −A −

√

2B 3.18E+09 6.02E+08

A

0

10

A 2 + 4 B ( p2R − p2wf )

Term. Turb.

10477 9429 8382 7334 6286 5239 4191 3143 2675 1628

) )

re +S rw

0.00825 0.00770 0.00716 0.00661 0.00607 0.00555 0.00508 0.00477 0.00484 0.02345 0.02040

BIFASICO MONOFASICO Term. Flujo Darcy B 323.5 284.8 247.5 211.8 177.9 146.0 116.9 92.0 84.1 65.3 45.4

Pr^2-Pwf^2 PSI^2 0 20855831 39516310 55981440 70251219 82325647 92204724 99888451 102610169 107118368 109767529

Presion

Temperatura

Psi 10477 9429 8382 7334 6286 5239 4191 3143 2675 1628

(oF) 191 191 191 191 191 191 191 191 191 191

0

191

651 651 651 651 651 651 651 651 651 651 651

Ppc Psi 668.67506 668.67506 668.67506 668.67506 668.67506 668.67506 668.67506 668.67506 661.722361 661.722361 661.722361

Tpc (oR) 393.019511 393.019511 393.019511 393.019511 393.019511 393.019511 393.019511 393.019511 380.495424 380.495424 380.495424

(oR)

Ppc Psi

Tpc (oR)

(oR)

CALCULO DEL M(p) Presion Psi 0 1628 2675

Temperatura (oF) 191 191 191

651 651 651

661.72 661.72 661.72

380.50 380.50 380.50

191 191 191 191 191 191 191 191

651 651 651 651 651 651 651 651

668.68 668.68 668.68 668.68 668.68 668.68 668.68 668.68

393.02 393.02 393.02 393.02 393.02 393.02 393.02 393.02

3500

f(x) = 0.0 M(P) [MMPSI^2/CP]

3143 4191 5239 6286 7334 8382 9429 10477

3000

2500

2000

1500

1000

500

0 0

2

2

MÉTODO DE RESER RESERVORIO DE GAS

SGg +

4591∗SG o

RGC 1123 1+ RGC

SGm =

SG del Condensado

0.7389033943

SG de la Mezcla

0.7118577838

PMm

GAS HÚMEDO

20.6225199977

20 BF/MMPC

YIELD

BLOUNT GLAZE (PERFORACIONES)

(

−12

3 . 16∗10 A=

) )

re +S rw

∗β∗SGg∗Tr∗Z∗

1 1 − Rp Rc

Lp 2

(

1. 424∗103∗μ∗Tr∗Z∗ ln B=

Kp∗Lp

Rc Rp

)

)

0

) )

re +S rw

(

B=

2 . 33∗10 β= Kp 1. 201

10

q=

−A −+

0.00 36.73 58.99 77.37 93.90 109.36 123.69 135.40 137.18 203.39 209.44

)

10

√ A + 4 B( p − p 2

2 R

2 wf

)

2B

Beta psi^-1 CAUDAL CALCULADO MMPCD

Rc Rp

Kp∗Lp

1.81E+09

Termino

Termino

Caud./Perf.

A

B

158 148 137 127 117 106 98 92 93 85 74

8732 7688 6681 5717 4801 3942 3154 2483 2269 1762 1225

12000

10000

esion Psi

2

1. 424∗103∗μ∗Tr∗Z∗ ln

8000

MPCD 0.0 145.8 234.1 307.0 372.6 434.0 490.8 537.3 544.4 1351.5 1375.5

Compar

Presion Psi

10000

8000

6000

4000

2000

0 0.00

100.00

Ppr

Tpr

A

B

15.6682978346 14.1014680511 12.5346382677 10.9678084842 9.4009787007 7.8341489173 6.2673191338 4.7004893504 4.042970831 2.4596784082 0

1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.7109272772 1.7109272772 1.7109272772

0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914 -

20.8628877508 15.6046737731 11.7386285917 8.8286913718 6.5744334161 4.7794340907 3.3238732953 2.1413404757 -

Ppr

Tpr

A

B

-

-

0 2.4602463151 4.042970831

1.7109272772 1.7109272772 1.7109272772

200.00

4.7003398009 6.2676182328 7.8348966646 9.4006796018 10.9679580337 12.5352364655 14.1010194027 15.6682978346

1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154 1.6564063154

0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914 0.4955099914

2.1412394232 3.324123641 4.7802026998 6.5740518039 8.8289339706 11.7398991545 15.6033920424 20.8628877508

M(p) 3500

f(x) = 0.000007765x^2 + 0.2479809182x - 123.363 3000

2500

2000

1500

1000

500

0 0

2000

4000

6000 PRESION [PSI]

ODO DE RESERVORIO

RVORIO DE GAS HÚMEDO CALCULO DE LA PRESION DE ROCÍO

−0 .8499

%C 7+ =10260∗( RGC∗SGg) 1.3884623835

%C7

[

( K 4∗T RGC K 2 Pd= K 1∗ ∗K 8∗API C K3

2675.32

K4

346.77647 0.09741 -0.229478 -0.04783

K5

0.28126

K6 K7

0.00068 1.90633

K8

8.41763

K1 K2 K3

METODO DE DARCY

(

∗Tr∗Z∗

1 1 − Rp Rc

Rc r∗Z∗ ln Rp p

(

)

)

[

−K 6∗C

7+

Presión de Rocío

ACIONES)

K5

]

703∗10−6∗Kg∗hn∗( Pr−Pwf 2 ) q= ∗Fk re μg∗Tr∗Z∗ ln −0. 75+ S rw

(

)

7+K 7

)

]

(

r∗Z∗ ln

Rc Rp

)

p

2 2 R − pwf

(( √

Fk=1− f 1+7∗

f =

)

)

( rw ) *cos ( f ∗90 ) 2∗f ∗Hn

)

hp hn

f= FK=

0.16 0.8399918978

PRESION Fluy.Fondo PSI

CAUDAL CALCULADO MMPCD

Caud./Perf.

10477 9201 7820 6330 4642 2383

0.00 12.07 26.32 43.57 65.11 92.94 130.08 179.01 201.26 268.90

0.00 47.91 104.44 172.91 258.37 368.83 516.20 710.36 798.63 1067.08

300.93

1194.16

MMPCD

PRESION Fluy.Fondo PSI 10477 9392 8250 7000 5522 3392

Comparacion Metodos IPR Reservorio de Gas Sec

100.00

200.00

300.00

400.00

500.00

Caudal de Gas MMPCD

C

D

0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991 -

0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036 -

C

D

-

-

FACTOR

DENSIDAD

Z 1.46123 1.36478 1.26833 1.17192 1.07605 0.98306 0.90045 0.84498 0.85749 0.78623

grs/cc 0.33902 0.32668 0.31246 0.29590 0.27622 0.25196 0.22006 0.17588 0.14752 0.09788

0.68377

0.00000

FACTOR

DENSIDAD Z grs/cc 0.6837696586 0 0.7862525971 0.0979031104 0.8574880472 0.147520551

0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991 0.0618665991

0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036 0.9986389036

0.8449742941 0.9004624386 0.9831069926 1.0760313061 1.1719257949 1.2683620518 1.3647556989 1.4612306497

0.175875387 0.220067668 0.251971717 0.2762190657 0.2959000062 0.3124701952 0.326674249 0.3390176842

M(p)

79809182x - 123.3637311499

6000 PRESION [PSI]

8000

10000

12000

0 .8499

K 4∗T K 5 −K 6∗C

7+ K 7

)

]

PSI

METODO DE LA PSEUDO PRESION

]

∗Fk

703∗10

2

−6

∗Hn∗ K∗( Mpr − Mpwf rd T ∗Z ∗U∗ ln −0 . 75 +S rw

( (

)

¿¿ ¿ Qsc = ( ¿ )∗1000∗Fk

)

2

)

rw ¿¿ ¿ Qsc = ( ¿ )∗1000∗Fk y = 8E-06x2 + 0,248x - 123,3 ECUACION PSEUDOPOTENCIAL

obtenida de la hoja de cálculo M(p)

a= b= c=

SEUDOPRESION ASUMIDA (M(p)) PSIA/cp

8.00E-06 0.248 -123.3

CAUDAL CALCULADO MMPCD

Caud./Perf. MPCD

3353 2926 2517 2126 1752 1395 1057 735 597 302

0.00 70.36 137.83 202.40 264.07 322.85 378.73 431.72 454.44 580.25

0 279 547 803 1048 1281 1503 1713 1803 4106

-123

597.76

4175

vorio de Gas Seco Column B Column J Darcy Darcy con perforaciones Pseudo presión Pseudo presión con perforaciones

Column B Column J Darcy Darcy con perforaciones Pseudo presión Pseudo presión con perforaciones

500.00

600.00

700.00

X

Y

K

5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339

1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732

130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975

X

Y

K

5.2208181339 5.2208181339 5.2208181339

1.3558363732 1.3558363732 1.3558363732

130.1980073975 130.1980073975 130.1980073975

5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339 5.2208181339

1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732 1.3558363732

130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975 130.1980073975

Cálculo del factor z para cada presión asumida

A0 A1 A2 A3 A4 A5

2.24353 -0.0375281 -3.56539 0.000829231 1.53428 0.131987

Z = Ao + A 1 *Pr +

12000

A2 A4 + A 3 *Pr 2 + +A5 Tr Tr 2

N

2

pr − Mpwf

0 . 75 +S

∗Fk

)

2

)

∗Fk

la hoja de cálculo M(p)

PRESION Fluy.Fondo PSI 10477 8674 5050 #VALUE! #VALUE!

VISCOSIDAD

Bg

CP 0.0434210343 0.0409311404 0.0382769734 0.0354481561 0.0324226615 0.0291344725 0.0254539356 0.0213533978 0.019226094 0.0162807949

PCS/pc 389.337826777 375.166608781 358.843207723 339.818255641 317.222796903 289.356675235 252.723984477 201.986094142 169.416916556 112.412390365

0.0130198007

0

pc/PCS 0.00256846 0.00266548 0.00278673 0.00294275 0.00315236 0.00345594 0.00395689 0.00495084 0.0059026 0.00889582 #DIV/0!

VISCOSIDAD Bg P/UZ DEL M(P) CP scf/cf PSI/CP PSI/CP 0 0 0.0130198007 0 127172 207035524 0.0162817783 112.434796232 162277 303146749 0.019226094 169.416916556

M(P) PSI/CP

0 207035524 510182273

0.0213529968 0.025454683 0.0291361237 0.0324220621 0.0354484349 0.0382780193 0.0409304043 0.0434210343

201.980439841 252.73214817 289.371691453 317.21805602 339.820223904 358.849913747 375.162264657 389.337826777

ón asumida

2 A4 Pr + A 3 *Pr 2 + + A 5∗ 2 r Tr Tr

174198 182846 182901 180181 176540 172645 168797 165127

157361059 374181159 383302266 380146681 373843798 365946535 357490155 349952303

667543332 1041724491 1425026757 1805173438 2179017236 2544963771 2902453926 3252406229

M(P)

Recalculo

MMPSI^2/CP

MMPSI^2/CP

0 207 510

0 302 597

668 1042 1425 1805 2179 2545 2902 3252

735 1057 1396 1752 2126 2517 2926 3353

Datos de Reservorio Presion de Reservorio

Pr

10477.00 psia

Temperatura de Reservorio

Tr

191.00 o F

Espesor Neto Permeable

Hn

134.00 pies

Espesor Perforado

Hp

21.00 pies

Radio de pozo

Rw

0.354 pies

Radio de Drene

Rd

1200.00 pies

Porosidad

%

Permeabilidad del Gas

0.20 %

Kg

Dano de Formacion

21.00 md

S

8.10

Saturacion de agua

Sw

Permeabilidad relativa al Gas

0.50 %

Krg

0.25 %

Datos de Fluido Gravedad Especifica del Gas

SGg

0.66

Gravedad del Condensado

API

60.0

Relacion Gas Condendado

110000

RGC

Pc/Bbl

Datos Pozo Horizontal 600 pies

Longitud Pozo Horizontal

L

Permeabilidad Vertical

Kv

3 md

Efecto de Turbulencia

Dq

0

2 2 k H h∗( Pr − Pw )

q=

( {

1424∗μg∗z∗T ∗ ln

a=

L 2

{

[

(

0 . 5 + 0 . 25 +

I ani =

√

kH kV

a + √ a −( L / 2 ) L /2 2

re H L/ 2

2

4 0. 5

)]

0 .5

}

}( +

I

L/2=100 ºF

68 ºF=280 ºF

74 ºF