CALCULO DEL IPR

Ejercicio 4.1.-Se tienen una prueba isocronal y se desea conocer el potencial del reservorio y el IPR para los mtodos simplificado, Jones Blount Glaze y LIT.

Datos:

Pr = 10477 psi. Tr = 270 F Tc = 95 F Prof. = 14300 ft. API = 59 SGg = 0.65

Prueba Isocronal.

Periodo de FlujoChoqueDuracin Presin FondoPresin CabezaCaudal de GasCaudal BPDCaudal BPD

Periodo PwfPwhMMscfdCondensadoAgua

Ck/64hrspsiapsia

Estado Inicial24104779044

Flujo 11212781559504,817726

Flujo 21612600943809,2968811

Flujo 32012486533507,3779817

Flujo42412397824608,0810917

Flujo Extendido1638618845006,2818910

Mtodo Simplificado.

Mtodo Simplificado

Pr = 10477Presin FondoDiferencial Caudal de Gas

PwfPresin^2MMscfd

psiaMmpsi^2

104770

781548,6933044,817

600973,6594486,296

486586,0993047,377

397893,9430458,08

618871,4761856,281

Graficar Diferencial de Presin versus el Caudal

CALCULO DE CAUDALES A DIFERENTES PwfPwf(psi)Q(MMscf)

104770,00

94294,42

83827,42

73349,85

628611,84

523913,46

419114,76

314315,75

209516,45

104816,86

017,00

Mtodo de Jones, Blount Glaze.

Pr = 10477Presin FondoDiferencial Caudal de GasDP^2 / Q

PwfPresin^2MMscfdMmpsi^2/MMscfd

psiaMmpsi^2

10477109,767529

781548,6933044,81710,11

600973,6594486,29611,7

486586,0993047,37711,67

397893,9430458,0811,63

618871,4761856,28111,38

De acuerdo a los valores obtenidos por la grafica y el ajuste lineal

A = interseccin con eje Y (a caudal = 0)=0,4463

B = Pendiente (ndice de turbulencia)=8,366

Pwf(psi)Q(MMscf)

104770,00

9429194,57

8382319,97

7334413,02

6286484,96

5239541,08

4191584,45

3143616,78

2095639,20

1048652,40

0656,76

AOF=656.76

Anlisis LIT

Pseudo Potencial

PresinViscosidad Factor ZP/uzDel m(p)Del m(p)Del m(p)

PsiaCppsi/cpAcumuladoAcumulado

0010000

20000,01740,9332123170,3051246340610,2246340610,2246,3406102

40000,02220,9702185714,4714617769553,1864110163,3864,1101633

60000,02681,1029202992,653777414248,916415244121641,524412

80000,03051,2796204982,0897815949485,424574738982457,473898

100000,03331,4712204119,2906818202760,532756766583275,676658

104770,03391,518203594,234194479351,234701560093470,156009

Presin FondoDiferencial Caudal de GasDP^2 / QPseudo PotencialDelta Delta M(p)/QgQ^2DelM(p)-bQg

PwfPresin^2MMscfdMmpsi^2/MMscfdMmpsi^2/cpM(p)MMscfd^2

PsiaMmpsi^2Mmpsi^2/cp

10477109,7675293521,260906

781548,6933044,81710,112294,7255941226,535312254,6323,2698,13

600973,6594486,29611,71584,1452341937,115672307,6739,641034,28

486586,0993047,37711,671184,8671042336,393802316,7154,421096,92

397893,9430458,0811,63902,42298912618,837917324,1165,291131,79

618871,4761856,28111,381650,1868831871,074023297,8939,45972,56

Sumatoria32,8519989,9567271501,012224933,68

Calculo se los Parametros A y B

Calculo del AOF usando m(Pwf)=0

Calculo de A' y AOFest

Calculo del Caudal del Gas

Pwf(psi)Q(MMpcd)

104770,00

942979,02

8382140,34

7334254,09

6286357,18

5239448,98

4191526,19

3143557,72

2095582,64

1048599,14

0605,05

_1429983605.unknown

_1429984088.unknown

_1429984236.unknown

_1429984529.unknown

_1429984218.unknown

_1429984045.unknown

_1399904849.xlsGrfico1

48693304

73659448

86099304

93943045

FETKOVICH

METODO SIMPLIFICADO (FETKOVICH)

PERIODO DE FLUJOPwf(psi)Q(MMscf)Pr^2-Pwf^2

Estatica inicial104770.00000

flujo 178157.318048693304

flujo 260099.148073659448

flujo 3486511.148086099304

flujo 4397812.467093943045

flujo extendido61887.200071476185

AOF(MMscf)nCPr^2

17.000.810.000005153109767529

CALCULO DE CAUDALES A DIFERENTES Pwf

Pwf(psi)Q(MMscf)

55450.00

50001.56

40003.34

30004.58

20005.41

10005.90

5006.02

06.06

06.06

06.06

06.06

CALCULO DE Pwf A DIFERENTES CAUDALES

Q(MMscf)Pwf(psi)

05545.00

76.60.00

136.50.00

243.370.00

331.690.00

400.770.00

450.290.00

467.650.00

480.070.00

487.520.00

17.000.00

FETKOVICH

IPR(FETKOVICH)

Hoja2

Hoja3

_1399906591.xlsGrfico1

0

246.340610235

864.1101633274

1641.5244122234

2457.4738976418

3275.6766581802

3470.1560094

Del m(p) Acumulado

presin psia

M(p) MMpsi^2/cp

Pseudo Potencial

Resultados

Prueba Isocronal.

Periodo de FlujoChoqueDuracinPresin FondoPresin CabezaCaudal de GasCaudal BPDCaudal BPD

PeriodoPwfPwhMMscfdCondensadoAgua

Ck/64hrspsiapsia

Estado Inicial24104779044

Flujo 11212781559504.817726

Flujo 21612600943809.2968811

Flujo 32012486533507.3779817

Flujo42412397824608.0810917

Flujo Extendido1638618845006.2818910

Mtodo Simplificado

Pr = 10477Presin FondoDiferencialCaudal de GasCaudal de Gas

PwfPresin^2MMscfdMMscfd

psiaMmpsi^2IPR

10477109.7675290

781548.6933044.8174.8138836254

600973.6594486.2966.6675470679

486586.0993047.3777.5387963127

397893.9430458.088.0742419341

618871.4761856.2816.5115186058

500084.7675297.4468726538

2500103.5175298.7151171407

1000108.7675299.061126877

0109.7675299.126625747

C=0.00000429

n=0.787

Mtodo de Jones Blount & Glaze.

Pr = 10477Presin FondoDiferencialCaudal de GasDP^2 / Q

PwfPresin^2MMscfdMmpsi^2/MMscfd

0.4463psiaMmpsi^2

8.36610477109.767529

781548.6933044.81710.11

600973.6594486.29611.7

486586.0993047.37711.67

397893.9430458.0811.63

618871.4761856.28111.38

Presin FondoCaudal de Gas

PwfMMscfd

psiaIPR

104770

94292.23

83823.9

62866.26

52397.09

41917.74

31438.23

20958.57

08.83

Analisi Lit

Presin FondoDiferencialCaudal de GasDP^2 / QPseudo PotencialDeltaDelta M(p)/QgQ^2DelM(p)-bQg

PwfPresin^2MMscfdMmpsi^2/MMscfdMmpsi^2/cpM(p)MMscfd^2

psiaMmpsi^2Mmpsi^2/cp

10477109.7675293521.2609059715

781548.6933044.81710.112294.72559366861226.5353123029254.6323.2698.13

600973.6594486.29611.71584.14523363181937.1156723397307.6739.641034.28

486586.0993047.37711.671184.86710377822336.3938021933316.7154.421096.92

397893.9430458.0811.63902.42298911342618.8379168581324.1165.291131.79

618871.4761856.28111.381650.18688313771871.0740228338297.8939.45972.56

Sumatoria32.8519989.95672652781501.012224933.68

Presin FondoPseudoCaudal de Gas

PwfPotencialMMscfd

psiaMmpsi^2/cpIPR

1047736530

781523734.712

600916266.4938

486512047.373

39789047.9573

618816966.34

009.56

Resultados

Qg MMscfd

Diferencial de Presin MMpsi^2

Mtodo simplificado

Pseudo Potencial

Qg MMscfd

DP/Qg MMpsi^2/MMscfd

Mtodo de Blount Glaze

y = 0,4463x + 8,366

Hoja3

Caudal de Gas MMscfd IPR

Qg MMscfd

Pwf psia

IPR

Qg MMscfd

DelM(p)-bQg^2

Analisis LIT

Caudal de Gas MMscfd IPR

Qg MMscfd

Pfw Psi

IPR

Pseudo Potencial

PresinViscosidadFactor ZP/uzDel m(p)Del m(p)Del m(p)

PsiaCppsi/cpAcumuladoAcumulado

0010000

20000.01740.9332123170.30511748246340610.23496246340610.23496246.340610235

40000.02220.9702185714.471428757617769553.092474864110163.327434864.1101633274

60000.02681.1029202992.653019245777414248.8960041641524412.223441641.5244122234

80000.03051.2796204982.089689913815949485.4183172457473897.641762457.4738976418

100000.03331.4712204119.290579323818202760.5384733275676658.180233275.6766581802

104770.03391.518203594.23399054194479351.2198253470156009.400053470.1560094

Presin FondoPseudo

PwfPotencial

psiaMmpsi^2/cp

104773521.2609059715

78152294.7255936686

60091584.1452336318

48651184.8671037782

3978902.4229891134

61881650.1868831377

Del m(p) Acumulado

presin psia

M(p) MMpsi^2/cp

Pseudo Potencial

MBD00090436.xls

Grfico3

0

0

10477

7815

6009

4865

3978

6188

5000

2500

1000

0

IPR

Qg MMscfd

Pfw psi

Hoja1

Prueba Isocronal.

Periodo de FlujoChoqueDuracinPresin FondoPresin CabezaCaudal de GasCaudal BPDCaudal BPD

PeriodoPwfPwhMMscfdCondensadoAgua

Ck/64hrspsiapsia

Estado Inicial24104779044

Flujo 11212781559504.817726

Flujo 21612600943809.2968811

Flujo 32012486533507.3779817

Flujo42412397824608.0810917

Flujo Extendido1638618845006.2818910

Mtodo Simplificado

Pr = 10477Presin FondoDiferencialCaudal de GasIPR

PwfPresin^2MMscfd

psiaMmpsi^2

10477109.7675290

781548.6933044.8174.8138836254

600973.6594486.2966.6675470679

486586.0993047.3777.5387963127

397893.9430458.088.0742419341

618871.4761856.2816.5115186058

500084.7675297.4468726538

2500103.5175298.7151171407

1000108.7675299.061126877

0109.7675299.126625747

C=0.00000429

n=0.787

Mtodo de Jones Blount & Glaze.

Pr = 10477Presin FondoDiferencialCaudal de GasDP^2 / Q

PwfPresin^2MMscfdMmpsi^2/MMscfd

0.4463psiaMmpsi^2

8.36610477109.767529

781548.6933044.81710.11

600973.6594486.29611.7

486586.0993047.37711.67

397893.9430458.0811.63

618871.4761856.28111.38

Hoja1

0

0

0

0

0

Qg MMscfd

Diferencial de Presin MMpsi^2

Mtodo simplificado

Hoja2

0

0

0

0

0

Qg MMscfd

DP/Qg MMpsi^2/MMscfd

Mtodo de Blount Glaze

y = 0,4463x + 8,366

Hoja3

0

0

0

0

0

0

0

0

0

0

0

0

IPR

Qg MMscfd

Pfw psi

_1160032747.unknown