ANÁLISIS NODAL

DATOS DE PRINCIPALES

Datos del Reservorio

Presion de Reservorio ( Psia ) 5000

Temperatura de Reservorio ( ºF ) 270

Datos de Fluido

Gravedad Especifica del Gas SGg 0.65

Gravedad del Condensado ( API ) 58.8

Relacion Gas Condendado ( Pc/Bbl ) 42711

Datos linea de Surgencia

Presion Base (Psia) 14.7

Temperatura Base ( ºR ) 520

Datos de la Roca Reservorio

Espesor Neto Permeable ( pies ) " Hn " = 62

Espesor Baleado ( pies ) " Hp " = 48

0.35Radio de Drene ( pies ) " re " = 1000

0.18

Permeabilidad efectiva al Gas (md) " K " = 1.23

Daños de Formación " S " = 17

Datos de los Baleos

Penetración de la Bala "Lp" (pies) = 0.88

0.021

Radio Externo de la penetración "Rc" ( Pies ) = 0.063

Densidad de las perforaciones (Balas/pie) = 12

0.4

Datos de la Tubería de Producción

Temperatura en Cabeza estática (ºF) = 138

Presión en Cabeza estática (Psia) = 9030

Profundidad vertical verdadera "TVD" ( Ft ) = 9447

Profundidad Medida "MD" ( Ft ) = 10014

Rugosidad relativa "e/d" 0.0012

Dureza 100

Diametro Interno "ID" (Pulg) = 2.445

0

Radio del Pozo ( pies ) " rw " =

Porosidad (fracción) " f " =

Radio Interno de la penetración "Rp" ( Pies ) =

Tipo de Baleo (Sobre o Bajo Balanceado) =

Angulo de Inclinación de la Tubería ( º ) =

Componente %Metano 87.54

Etano 4.54

Propano 2.51

Iso-Butano 0.35

Butano Normal 0.97

Iso-Pentano 0.31

Pentano Normal 0.39

Hexano 0.56

Heptano 0.6

Octano 0.28

Nonanos 0.23

Decanos+ 0.6

Nitrogeno 1.03

Dióxido de Carbono 0.09

Gás Sulfídrico 0.00

TOTAL 100

Datos de Prueba

Período de flujoChoque Duracion Presion (Pwf) Presion (Pwh)

Periodo Fondo Cabeza

CK/64" hr psia psia

estática inicial 24 10300 9030

fluxo 1 12 12 7815 5950

fluxo 2 16 12 6009 4380

fluxo 3 20 12 4865 3350

fluxo 4 24 12 3978 2460

fluxo estendido 16 38 6188 4500

Datos de Prueba

Caudal Caudal Caudal

Gas Condensado Agua

MMscf/d BPD BPD

0 0 0

4.817 72 6

6.296 88 11

7.337 98 17

8.08 109 17

6.281 89 10

DETERMINACION DE LA PRESION DE ROCIO

POR ANALISIS EN BASE A LA COMPOSICION DEL GAS

Nemeth & KennedyComposición del Gas

Constantes Livianos

A -2.06E-02 H -0.11381195 % N2 1.03

B 6.6259728 I 6.25E-04 % CO2 0.09

C -4.47E-03 J -1.07E-06 % H2S 0.00

D 1.04E-04 K 10.746622 % METH 87.54

E 3.27E-02 L 2.06985 % ETH 4.54

F -3.65E-03 M 170.00738 % PROP 2.51

G 7.43E-05 % IBUT 0.35

% N-BUT 0.97

% IPEN 0.31

% N-PEN 0.39

% N-HEX 0.56

Calculos para los Pesados

componentes pesados % N-HEP 0.6

%C7+ = 1.71 % N-OCT 0.28

C7+ = 0.0171 % N-NON 0.23

Den C7+ = 0.71189 % N-DEC 0.6

MW C7+ = 121.044

% TOTAL 100

PUNTO DE ROCÍO

Temp. Yacimiento ( ºR ) = 730

Presión de Rocío ( Psia ) = 2443

POR ANALISIS EN BASE A DATOS DE PRODUCCION

Cálculos Para los componentes pesadosRelación Gas Condensado (Pc/Bbl ) = 42711Gravedad Específica Gas = 0.65Gravedad Específica Cond. ( API ) = 58.8Gravedad Específica Condensado = 0.7436Gravedad Específica Mezcla = 0.7112

Primer Correlación Segunda Correlación

%C7+ = (GCR/70680)^-0.8207 %C7+ = 10260*(GCR*SGg)^ -0.8499%C7+ = 1.512 %C7+ = 1.59

Pd = K1*(GCR^K2/C7^K3 * K8 * API ^ (K4*Tr^K5 - K6*C7^K7))

K1= 346.7765K2= 0.09741K3= -0.29478K4= -0.04783K5= 0.28126K6= 0.00068K7= 1.90633K8= 8.41763

PUNTO DE ROCÍO

Temp. Yacimiento ( ºR ) = 730

Presión de Rocío ( Psia ) = 3665

%C7+ = 10260*(GCR*SGg)^ -0.8499

Cálculos Zona Monofásica Cálculos Zona Bifásica

Presión Reservorio ( Psia ) = 5000 Presión de Rocío ( Psia ) =Temperatura Resservorio ( º R ) = 730 Gravedad Específica Condensado =Gravedad Específica Gas = 0.65 Gravedad Específica Mezcla =Presión Crítica ( Psia ) = 668 Presión Crítica ( Psia ) =

Temperatura Crítica ( ºR ) = 371 Temperatura Crítica ( ºR ) =Temperatura Reducida = 1.966 Temperatura Reducida =

Peso Molecular del Gas ( Lb/Mol ) = 18.83 Peso Molecular Mezcla ( Lb/Mol ) =

Relación Agua Gas (Bbl/MMPcd) = 86.25 Yield (Bbl/MMPcd) =

Para hallar Z Constantes de Viscosidad Constantes de Viscosidad

A = 0.6129 X = 5.0390 X =C = 0.03805 Y = 1.3922 Y =D = 1.12795 K = 148.70 K =

ZONA MONOFÁSICO

Presion Ppr B FACTOR DENSIDAD VISCOSIDAD Bg( Psi ) Z mono grs/cc cp scf/cf5000 7.488 2.5278 1.012 0.1902 0.0245 2394500 6.740 2.1605 0.985 0.1759 0.0233 2214050 6.066 1.8518 0.964 0.1617 0.0222 2033645 5.459 1.5915 0.950 0.1478 0.0211 1863281 4.913 1.3716 0.940 0.1343 0.0202 1692952 4.422 1.1852 0.935 0.1216 0.0194 1532657 3.980 1.0268 0.932 0.1097 0.0188 138

ZONA BIFÁSICA

Presion Ppr FACTOR DENSIDAD VISCOSIDAD Bg( Psi ) Z Bifa grs/cc cp scf/cf2443 3.658 0.928 0.1109 0.0185 1271954 2.927 0.901 0.0914 0.0175 1051563 2.341 0.880 0.0748 0.0167 861251 1.873 0.864 0.0610 0.0161 701000 1.498 0.851 0.0495 0.0157 57800 1.199 0.841 0.0401 0.0154 46640 0.959 0.833 0.0324 0.0152 37512 0.767 0.827 0.0261 0.0150 30

Cálculos Zona Bifásica

Presión de Rocío ( Psia ) = 2443Gravedad Específica Condensado = 0.7436Gravedad Específica Mezcla = 0.7112Presión Crítica ( Psia ) = 662Temperatura Crítica ( ºR ) = 380Temperatura Reducida = 1.919Peso Molecular Mezcla ( Lb/Mol ) = 20.60

Yield (Bbl/MMPcd) = 23.41

Constantes de Viscosidad Constantes de Z

5.0567 Ao = 2.24353

1.3887 A1 = -0.0375281

145.46 A2 = -3.56539

A3 = 0.0008292

A4 = 1.53428

A5 = 0.131987

DETERMINACIÓN DEL PSEUDO POTENCIAL

Presión FACTOR Viscosidad P/UZ Acumulado M ( P )( Psi ) Z cp Psi/cp Psi^2/cp M ( P ) MMPsi^2/cp5000 1.012 0.0245 201510 198877036 1318815119 13194500 0.985 0.0233 196244 173613508 1119938083 11204050 0.964 0.0222 189564 150304907 946324575 9463645 0.950 0.0211 181560 129029595 796019669 7963281 0.940 0.0202 172431 109858329 666990074 6672952 0.935 0.0194 162452 92819547 557131744 5572657 0.932 0.0188 151930 63200356 464312197 4642443 0.928 0.0185 142576 130356322 401111842 4011954 0.901 0.0175 124262 90130640 270755520 2711563 0.880 0.0167 106359 61298737 180624880 1811251 0.864 0.0161 89701 41136230 119326143 1191000 0.851 0.0157 74763 27312977 78189913 78800 0.841 0.0154 61735 17983336 50876937 51640 0.833 0.0152 50606 11763330 32893601 33512 0.827 0.0150 41250 21130271 21130271 21

POR MEDIO DE REGRESIÓN EXPONENCIAL

Y = 3E-05x2 + 0,1379x - 47,618

M (P) = 3E-05(P^2) + 0,1379(P) - 47,618

Coeficientes de la Ecuación

A = 3.00E-05B = 0.1379C = -47.618

DM(P)

0 1000 2000 3000 4000 5000 60000

200

400

600

800

1000

1200

1400

f(x) = 3.50397183280488E-05 x² + 0.102455940925526 x − 53.9755337013175

Determinacion del Pseudo Potencial

Presion (PSI)

Pseu

do

po

ten

cia

l m

(p)

DETERMINACIÓN DEL PSEUDO POTENCIAL

M (P) realMMPsi^2/cp

139211801003854728621531468336241172120825331

0 1000 2000 3000 4000 5000 60000

200

400

600

800

1000

1200

1400

f(x) = 3.50397183280488E-05 x² + 0.102455940925526 x − 53.9755337013175

Determinacion del Pseudo Potencial

Presion (PSI)

Pseu

do

po

ten

cia

l m

(p)

CONSTRUCCIÓN DE IPR PARA EN BASE A DATOS DE RESERVORIO

METODO DE JONE BLOUNT GLAZE

Be = 1.817E+10 Be = 5.693E+10

PRODUCCIÓN EN AGUJERO ABIERTO DEL RESERVORIO PRODUCCIÓN A TRAVÉS DE LOS BALEOS

Coeficiente Coeficiente Caída CAUDAL Coeficiente Coeficiente

Asumida de Turbulencia Laminar de Presión CALCULADO de Turbulencia Laminar

( Psi ) A B Psi^2 MMPCD A B

5000 0.02243 8187 0 0 3876.773 15843

4500 0.02182 7566 4750000 0.627 3771.126 14641

4050 0.02137 7050 8597500 1.215 3692.490 13641

3645 0.02105 6624 11713975 1.758 3636.948 12819

3281 0.02083 6278 14238320 2.251 3600.476 12147

2952 0.02071 5997 16283039 2.690 3579.219 11604

2657 0.02066 5771 17939262 3.075 3569.695 11167

2443 0.02056 5653 19033671 3.327 3552.718 10939

1954 0.01996 5189 21181549 4.020 3449.898 10041

1563 0.01950 4850 22556192 4.567 3370.090 9385

1251 0.01914 4600 23435963 4.991 3307.811 8902

1000 0.01886 4416 23999016 5.314 3258.989 8544

800 0.01864 4278 24359370 5.559 3220.574 8278

640 0.01846 4175 24589997 5.744 3190.252 8079

512 0.01832 4098 24737598 5.882 3166.258 7929

PWF

0 1 2 3 4 5 6 7 8 9 10

0

1000

2000

3000

4000

5000

6000

IPR Comparativos

Metodo Jones Blount Glaze

Metodo Darcys

Metodo Pseudo Presion

Blount Glaze con Perf

Darcy con Perf.

Pseudo Presion con Perf.

Caudal de Gas MMPCD

Pre

sio

n P

si

0 1 2 3 4 5 6 7 8 9 10

0

1000

2000

3000

4000

5000

6000

IPR Comparativos

Metodo Jones Blount Glaze

Metodo Darcys

Metodo Pseudo Presion

Blount Glaze con Perf

Darcy con Perf.

Pseudo Presion con Perf.

Caudal de Gas MMPCD

Pre

sio

n P

si

CONSTRUCCIÓN DE IPR PARA EN BASE A DATOS DE RESERVORIO

METODO DE JONE BLOUNT GLAZE METODO DE DARCY

f = 0.77Factor Coseny = 0.8878Constante C = 3.03374E-06

PRODUCCIÓN A TRAVÉS DE LOS BALEOS

Relación CAUDAL Relación

Caudal/Perfo Calculado Asumida CALCULADO Caudal/Perfo Calculado

MPCD ( Psi ) ( Psi ) MMPCD MPCD ( Psi )

0 5000 5000 0.000 0 50001.088 4498 4500 0.558 0.969 44982.110 4044 4050 1.084 1.882 40453.053 3635 3645 1.572 2.728 36363.908 3265 3281 2.016 3.500 32674.671 2930 2952 2.413 4.190 29345.338 2627 2657 2.763 4.796 26325.776 2405 2443 2.992 5.195 24116.979 1892 1954 3.628 6.299 19027.929 1469 1563 4.134 7.176 14848.664 1113 1251 4.528 7.860 11369.226 803 1000 4.830 8.386 8379.652 511 800 5.061 8.786 5659.972 110 640 5.235 9.08810.212 512 5.365 9.315

PWF PWF PWF

Srw

reT

hkC

Mpcd

Srw

reZT

PfwhkQg

75.0)ln(

10703

75.0)ln(

)(Pr10703

6

226

0 1 2 3 4 5 6 7 8 9 10

0

1000

2000

3000

4000

5000

6000

IPR Comparativos

Metodo Jones Blount Glaze

Metodo Darcys

Metodo Pseudo Presion

Blount Glaze con Perf

Darcy con Perf.

Pseudo Presion con Perf.

Caudal de Gas MMPCD

Pre

sio

n P

si

0 1 2 3 4 5 6 7 8 9 10

0

1000

2000

3000

4000

5000

6000

IPR Comparativos

Metodo Jones Blount Glaze

Metodo Darcys

Metodo Pseudo Presion

Blount Glaze con Perf

Darcy con Perf.

Pseudo Presion con Perf.

Caudal de Gas MMPCD

Pre

sio

n P

si

METODO DE PSEUDO PRESION

CAUDAL Relación

M (p) real CALCULADO Caudal/Perfo Calculado

( Psi ) MMPCD MPCD ( Psi )

1392 0 0 50001180 28 48.6 32621003 55 95.9854 81 141.2728 106 183.9621 129 223.4531 149 259.4468 164 284.0336 204 353.5241 237 412.3172 265 460.9120 288 500.482 307 532.153 321 557.331 332 577.2

PSEUDO PRESION PWF

CONSTRUCCIÓN DE IPR PARA EN BASE A DATOS DE PRODUCCON

METODO SIMPLIFICADO

Período de flujoPresion (Pwf) Caudal Diferencial

Fondo Gas Presion (P^2)

psia MMscf/d MMPSI^2estática inicial 10300 0 106.09

fluxo 1 7815 4.817 45.02fluxo 2 6009 6.296 69.98fluxo 3 4865 7.337 82.42fluxo 4 3978 8.08 90.27

Determinación de los Coeficientes de Prueba

De Gráfica AOF = 9.11 MPCD

Factor n = 0.7434Factor C = 0.000009839 MMPCD/Psi^2

Presion de fondo Caudal

Pwf (psia) Asumida Qsc (Mmscfd)10300 0.00

1 10 100 1000

0.10

1.00

10.00

100.00

1000.00

PRUEBA ISOCRONAL - METODO SIMPLIFICADO

Column E

CAUDAL DE GAS MMpcd

Dif

ere

nc

ial

de

Pre

sio

n P

SI^

2

24

221

241

loglog

loglog

wfRwfR pppp

qqn nwfR

g

pp

qC

22

qsc=0 . 000009839 (PR2 −Pwf

2 )0 ,7434

9270 2.658240 4.267210 5.526180 6.545150 7.364120 8.003090 8.492060 8.841030 9.04

0 9.11

0 1 2 3 4 5 6 7 8 9 10

0

2000

4000

6000

8000

10000

12000

IPR Comparativos

Metodo Jones Blount Glaze

Metodo Simplificado

Método LIT

Caudal de Gas MMPCD

Pre

sio

n P

si

CONSTRUCCIÓN DE IPR PARA EN BASE A DATOS DE PRODUCCON

METODO JONES BLOUNT GLAZE

Período de flujoPresion (Pwf) Caudal

Fondo Gas

psia MMscf/destática inicial 10300 0 106.09

fluxo 1 7815 4.817 45.02 9.345fluxo 2 6009 6.296 69.98 11.115fluxo 3 4865 7.337 82.42 11.234fluxo 4 3978 8.08 90.27 11.171

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

De Fig. A = 8.3157 Mmpsia^2/Mmscfd

B = 0.5596953228

Ecuacion General

Presion de fondo Caudal

Pwf (psia) Asumida Qsc (MMscfd)

10300 09270 2.12

DP^2 MM Psia^2

DP^2/Qg MMPsia^2/MMPcd

4 5 6 7 8 9-5.000-3.000-1.0001.0003.0005.0007.0009.000

11.00013.00015.000

f(x) = 0.562982720299172 x + 6.98243665928839

METODO BLOUNT GLAZE

Qg (MMPCD)

DP

(MM

Ps

ia^

2)

/ Q

g (

MM

Pc

d)

q=−A −

+ √A2+4B ( pR2 −pwf2 )

2B

8240 3.687210 4.896180 5.865150 6.624120 7.213090 7.662060 7.971030 8.15

0 8.22

0 1 2 3 4 5 6 7 8 9 10

0

2000

4000

6000

8000

10000

12000

IPR Comparativos

Metodo Jones Blount Glaze

Metodo Simplificado

Método LIT

Caudal de Gas MMPCD

Pre

sio

n P

si

METODO LIT

Período de flujoPresion (Pwf) Caudal Pseudo Potencial Diferencial

Fondo Gas M(p) Del M(p)

psia MMscf/d Mmpsi¨2/cp Mmpsi¨2/cp

estática inicial 10300 0 4555fluxo 1 7815 4.817 2862 1693fluxo 2 6009 6.296 1864 2691fluxo 3 4865 7.337 1333 3222fluxo 4 3978 8.08 976 3580

26.53 11186

Nº de Puntos Válidos = 4

Coeficiente Laminar A = 228.810077

Coeficiente Turbulento B = 28.12

Determinacion de coeficiente Laminar y Turbulento "A" e "B"

3 6 9

200

250

300

350

400

450

500

Análise Gráfico para determinaros coeficientes A e B

Qsc (MMscfd)

D m

(p)/

Qs

c (

ps

ia^

2/c

p/s

cfd

)

1 10 100

1

10

100

1000

10000

PRUEBA ISOCRONAL - METODO ANÁLISIS LIT

CAUDAL DE GAS MMpcd

De

l M

(p)-

bQ

g^

2

Presion de fondo

Pwf (psia) Asumida

10300927082407210618051504120309020601030

0

1 10 100

1

10

100

1000

10000

PRUEBA ISOCRONAL - METODO ANÁLISIS LIT

CAUDAL DE GAS MMpcdD

el

M(p

)-b

Qg

^2

q=−A −

+ √A2+4B (m(PR )−m(PWf ))2B

Del M(p)/Qg Qg^2Del M(p)-bQg^2

Mmpsi¨2/cp/Mmscfd (MMscf/d)^2

351.50 23.20 1041427.44 39.64 1577439.16 53.83 1709443.04 65.29 1744

1661.14 181.96 6070.33

3 6 9

200

250

300

350

400

450

500

Análise Gráfico para determinaros coeficientes A e B

Qsc (MMscfd)

D m

(p)/

Qs

c (

ps

ia^

2/c

p/s

cfd

)

1 10 100

1

10

100

1000

10000

PRUEBA ISOCRONAL - METODO ANÁLISIS LIT

CAUDAL DE GAS MMpcd

De

l M

(p)-

bQ

g^

2

Pseudo Potencial CaudalM(p) Qsc (MMscfd)4555 0

3809 1.75

3126 2.44

2506 2.93

1950 3.31

1458 3.62

1030 3.86

665 4.06

364 4.22

126 4.34

-48 4.42

1 10 100

1

10

100

1000

10000

PRUEBA ISOCRONAL - METODO ANÁLISIS LIT

CAUDAL DE GAS MMpcd

De

l M

(p)-

bQ

g^

2

zona 3 zona 2PRESION CAUDAL IP PRESION CAUDAL IP

ASUMIDA CALCULADO Indice de Prod. ASUMIDA CALCULADO Indice de Prod.

Psi MMPCD MMpcd/MMPSI^2 Psi MMPCD MMpcd/MMPSI^2

5000 0 3.242 3749 0 2.5464500 15.4 3.242 3374 6.8 2.5464000 24.2 2.689 2999 12.3 2.4313500 30.8 2.416 2624 16.7 2.3303000 35.9 2.244 2249 20.3 2.2572500 39.9 2.128 1874 23.1 2.1912000 42.8 2.038 1500 25.1 2.1261500 44.8 1.969 1125 26.5 2.0721000 45.9 1.912 750 27.3 2.023500 46.3 1.871 375 27.6 1.984

0 47.1 1.884 0 28.4 2.021

0 10 20 30 40 50 60 70 80 90

0

1000

2000

3000

4000

5000

6000

IPR COMPUESTO

IPR ZONA 2

IPR ZONA 3

IPR COM-PUESTOIPR ZONA 1

CAUDAL DE GAS MMPCD

PR

ES

ION

PS

I

IPR Compuesto 3+2 zona 1CAUDAL Presion Pwf. IP PRESION CAUDAL IP

COMPUESTO Combinada Indice de Prod. ASUMIDA CALCULADO Indice de Prod.

MMPCD Psi MMpcd/MMPSI^2 Psi MMPCD MMpcd/MMPSI^2

0 4493 5.79 3000 0 1.2322.2 4044 5.79 2700 2.1 1.2336.5 3560 4.86 2400 3.4 1.0547.5 3101 4.49 2100 4.6 1.0056.2 2650 4.27 1800 5.9 1.0263.0 2205 4.11 1500 6.7 0.9967.9 1762 3.98 1200 7.1 0.9471.3 1321 3.87 900 7.8 0.9573.2 880 3.77 600 8.4 0.9773.9 440 3.70 300 8.8 0.9975.5 0 3.74 0 9.1 1.01

0 10 20 30 40 50 60 70 80 90

0

1000

2000

3000

4000

5000

6000

IPR COMPUESTO

IPR ZONA 2

IPR ZONA 3

IPR COM-PUESTOIPR ZONA 1

CAUDAL DE GAS MMPCD

PR

ES

ION

PS

I

IPR Compuesto1+2+3CAUDAL Presion Pwf.

ASUMIDO Combinada

MMPCD Psi

0 426924.30 384239.90 338352.10 294462.10 250869.70 208775.00 167079.10 124981.60 83182.70 41584.61 0

0 10 20 30 40 50 60 70 80 90

0

1000

2000

3000

4000

5000

6000

IPR COMPUESTO

IPR ZONA 2

IPR ZONA 3

IPR COM-PUESTOIPR ZONA 1

CAUDAL DE GAS MMPCD

PR

ES

ION

PS

I

ANALISIS DE LA COLUMNA DE FLUIDO VERTICALFLUJO MONOFASICO

METODO DE LA PRESION Y TEMPERATURA MEDIA

Primera Prueba

Caudal de Gas Presion fondo Presion en Cabeza S e^sQsc (MMscfd) (psia) estimada (psia)

0.00 10300 8332 0.2783 1.32082.12 9270 7499 0.2970 1.34583.68 8240 6666 0.3184 1.37494.89 7210 5833 0.3429 1.40905.86 6180 4999 0.3708 1.44896.62 5150 4166 0.4012 1.49367.21 4120 3333 0.4297 1.53697.66 3090 2500 0.4468 1.56337.97 2060 1666 0.4412 1.55468.15 1030 833 0.4132 1.51168.22 0 0 0.3795 1.4615

Temp. Média Pres. Média Ppc Tpc PprºR PSI (PSI) (oR)

664.00 9316 658.7 392.8 14.143664.00 8384 658.7 392.8 12.729664.00 7453 658.7 392.8 11.315664.00 6521 658.7 392.8 9.900664.00 5590 658.7 392.8 8.486664.00 4658 658.7 392.8 7.072664.00 3726 658.7 392.8 5.657664.00 2795 658.7 392.8 4.243664.00 1863 658.7 392.8 2.829664.00 932 658.7 392.8 1.414664.00 0 658.7 392.8 0

NRe=20 q γ gμ d

S=0 ,0375 γ g (TVD )/T̄ Z̄

pwf2 =pwh

2 EXP ( S )+25 γ g q

2 T̄ Z̄ f (MD ) (EXP (S ) −1)

S d5

grupo1=25 γ g q

2 T̄ Z̄ f (MD ) (EXP (S ) −1 )

S d5

;

pwf =pwh (1+2 , 5 x 10 −5H )

Segunda Prueba

Caudal de Gas Presion fondo Presion en Cabeza S e^sQsc (MMscfd) (psia) estimada (psia)

0.00 10300 8962 0.2725 1.31322.12 9270 7982 0.2919 1.33903.68 8240 7001 0.3143 1.36934.89 7210 6025 0.3402 1.40525.86 6180 5058 0.3699 1.44766.62 5150 4105 0.4022 1.49517.21 4120 3171 0.4319 1.54017.66 3090 2246 0.4476 1.56457.97 2060 1251 0.4365 1.54738.15 1030 0 0.3975 1.48818.22 0 0 0.3795 1.4615

Temp. Média Pres. Média Ppc Tpc PprºR PSI (PSI) (oR)

664.00 9631 658.7 392.8 14.621664.00 8626 658.7 392.8 13.096664.00 7620 658.7 392.8 11.569664.00 6617 658.7 392.8 10.046664.00 5619 658.7 392.8 8.530664.00 4628 658.7 392.8 7.025664.00 3646 658.7 392.8 5.535664.00 2668 658.7 392.8 4.051664.00 1655 658.7 392.8 2.513664.00 515 658.7 392.8 0.782664.00 0 658.7 392.8 0

Tercera Prueba

Caudal de Gas Presion fondo Presion en Cabeza S e^sQsc (MMscfd) (psia) estimada (psia)

0.00 10300 8988 0.2722 1.31292.12 9270 8003 0.2917 1.33873.68 8240 7015 0.3141 1.36914.89 7210 6032 0.3401 1.40515.86 6180 5060 0.3699 1.44756.62 5150 4103 0.4022 1.49527.21 4120 3168 0.4319 1.54027.66 3090 2246 0.4476 1.56457.97 2060 1250 0.4365 1.54738.15 1030 0 0.3975 1.48818.22 0 0 0.3795 1.4615

Temp. Média Pres. Média Ppc Tpc PprºR PSI (PSI) (oR)

664.00 9644 658.7 392.8 14.641664.00 8636 658.7 392.8 13.111664.00 7627 658.7 392.8 11.580664.00 6621 658.7 392.8 10.052

664.00 5620 658.7 392.8 8.532664.00 4627 658.7 392.8 7.024664.00 3644 658.7 392.8 5.532664.00 2668 658.7 392.8 4.050664.00 1655 658.7 392.8 2.513664.00 515 658.7 392.8 0.782664.00 0 658.7 392.8 0

0 1 2 3 4 5 6 7 8 90

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

Well Tubing PerformancePresion y Temp.Média

CaudaLde Gas MMPCD

Pre

sio

n p

si

ANALISIS DE LA COLUMNA DE FLUIDO VERTICALFLUJO MONOFASICO

METODO DE LA PRESION Y TEMPERATURA MEDIA

No Fator Grupo 1 Presion Comparacion

Reynolds Friccion Cabeza (psi)0 0 0 8962 8332

333354 0.02143 183111 7982 7499617469 0.02105 511025 7001 6666884504 0.02091 843894 6025 5833

1154505 0.02083 1129531 5058 49991449488 0.02077 1351747 4105 41661801782 0.02072 1518638 3171 33332248619 0.02069 1659094 2246 25002784317 0.02066 1811230 1251 16663296309 0.02064 1992185 8333599804 0.02063 2161362 0

Tpr A B C D FACTOR Peso Molecular

Z medio lbm/lb-mol1.690 0.510 13.338 0.059 1.008 1.364 20.6041.690 0.510 10.661 0.059 1.008 1.278 20.6041.690 0.510 8.467 0.059 1.008 1.192 20.6041.690 0.510 6.638 0.059 1.008 1.107 20.6041.690 0.510 5.095 0.059 1.008 1.023 20.6041.690 0.510 3.784 0.059 1.008 0.946 20.6041.690 0.510 2.674 0.059 1.008 0.883 20.6041.690 0.510 1.747 0.059 1.008 0.849 20.6041.690 0.510 0.994 0.059 1.008 0.860 20.6041.690 0.510 0.412 0.059 1.008 0.918 20.6041.690 0.510 0.000 0.059 1.008 1.000 20.604

T̄=[ (Twf+T ts /2 ) ]

pwf2 =pwh

2 EXP ( S )+25 γ g q

2 T̄ Z̄ f (MD ) (EXP (S ) −1)

S d5

p̄= ( pwf + pts) /2

1√ f

=1 . 14−2 log( ed +21 . 25NRe

0 . 9 );

; ;

No Fator Grupo 1 Presion Comparacion

Reynolds Friccion Cabeza (psi)0 0 0 8988 8962

328178 0.02144 185916 8003 7982609888 0.02106 516671 7015 7001877298 0.02091 849465 6032 6025

1151095 0.02083 1131837 5060 50581455061 0.02077 1349050 4103 41051825141 0.02072 1512748 3168 31712302441 0.02068 1656699 2246 22462887846 0.02065 1825709 1250 12513453285 0.02063 2052973 03599804 0.02063 2161362 0

Tpr A B C D FACTOR Peso Molecular

Z medio lbm/lb-mol1.690 0.510 14.379 0.059 1.008 1.393 20.6041.690 0.510 11.303 0.059 1.008 1.300 20.6041.690 0.510 8.832 0.059 1.008 1.207 20.6041.690 0.510 6.812 0.059 1.008 1.115 20.6041.690 0.510 5.139 0.059 1.008 1.026 20.6041.690 0.510 3.745 0.059 1.008 0.943 20.6041.690 0.510 2.587 0.059 1.008 0.879 20.6041.690 0.510 1.635 0.059 1.008 0.848 20.6041.690 0.510 0.850 0.059 1.008 0.869 20.6041.690 0.510 0.207 0.059 1.008 0.955 20.6041.690 0.510 0.000 0.059 1.008 1.000 20.604

No Fator Grupo 1 Presion Comparacion

Reynolds Friccion Cabeza (psi)0 0 0 8989 8988

327967 0.02144 186033 8003 8003609578 0.02106 516906 7015 7015877010 0.02091 849690 6033 6032

1150969 0.02083 1131923 5060 50601455229 0.02077 1348970 4103 41031825544 0.02072 1512650 3168 31682302549 0.02068 1656696 2246 22462888043 0.02065 1825740 1250 12503453285 0.02063 2052973 03599804 0.02063 2161362 0

Tpr A B C D FACTOR Peso Molecular

Z medio lbm/lb-mol1.690 0.510 14.424 0.059 1.008 1.394 20.6041.690 0.510 11.331 0.059 1.008 1.301 20.6041.690 0.510 8.847 0.059 1.008 1.208 20.6041.690 0.510 6.819 0.059 1.008 1.116 20.604

1.690 0.510 5.141 0.059 1.008 1.026 20.6041.690 0.510 3.744 0.059 1.008 0.943 20.6041.690 0.510 2.585 0.059 1.008 0.879 20.6041.690 0.510 1.634 0.059 1.008 0.848 20.6041.690 0.510 0.849 0.059 1.008 0.869 20.6041.690 0.510 0.207 0.059 1.008 0.955 20.6041.690 0.510 0.000 0.059 1.008 1.000 20.604

0 1 2 3 4 5 6 7 8 90

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

Well Tubing PerformancePresion y Temp.Média

CaudaLde Gas MMPCD

Pre

sio

n p

si

Densidad X Y K Viscosidad(Gr/cm3) CP

0.316 5.191 1.362 132.770 0.0390.304 5.191 1.362 132.770 0.0370.290 5.191 1.362 132.770 0.0350.273 5.191 1.362 132.770 0.0320.253 5.191 1.362 132.770 0.0300.228 5.191 1.362 132.770 0.0270.195 5.191 1.362 132.770 0.0230.152 5.191 1.362 132.770 0.0200.100 5.191 1.362 132.770 0.0170.047 5.191 1.362 132.770 0.014

0 5.191 1.362 132.770 0.013

Densidad X Y K Viscosidad(Gr/cm3) CP

0.320 5.191 1.362 132.770 0.0400.307 5.191 1.362 132.770 0.0380.292 5.191 1.362 132.770 0.0350.275 5.191 1.362 132.770 0.0320.254 5.191 1.362 132.770 0.0300.227 5.191 1.362 132.770 0.0260.192 5.191 1.362 132.770 0.0230.146 5.191 1.362 132.770 0.0190.088 5.191 1.362 132.770 0.0160.025 5.191 1.362 132.770 0.014

0 5.191 1.362 132.770 0.013

Densidad X Y K Viscosidad(Gr/cm3) CP

0.320 5.191 1.362 132.770 0.0400.307 5.191 1.362 132.770 0.0380.292 5.191 1.362 132.770 0.0350.275 5.191 1.362 132.770 0.032

0.254 5.191 1.362 132.770 0.0300.227 5.191 1.362 132.770 0.0260.192 5.191 1.362 132.770 0.0230.146 5.191 1.362 132.770 0.0190.088 5.191 1.362 132.770 0.0160.025 5.191 1.362 132.770 0.014

0 5.191 1.362 132.770 0.013

ANALISIS DE LA COLUMNA DE FLUIDO VERTICALFLUJO MONOSAFICO

MÉTODO CULLENDER AND SMITH

Upper Half of Flow String

Simpson`s Rule

Caudal de Gas Presion de Fondo Left Hand Side F^2 TmedQsc (MMscfd) Pozo (psia) eq. 4.49 e 4.50 ºR

0 10300 133541 0 6642.12 9270 133541 0.00049 6643.68 8240 133541 0.00148 6644.89 7210 133541 0.00262 6645.86 6180 133541 0.00374 6646.62 5150 133541 0.00478 6647.21 4120 133541 0.00568 6647.66 3090 133541 0.00641 6647.97 2060 133541 0.00694 6648.15 1030 133541 0.00726 6648.22 0 133541 0.00737 664

Lower Half of Flow String

Primera Prueba

Presion fondo Pwf/(Twf*Zwf) Cos 0º Iwf ImfPozo (psia)

F=0 ,10796 q

d2 ,612d<4 ,277 in . F=

0 ,10337 q

d2 ,582d>4 ,277 in .;

I=

pZT

0 ,001 ( pTZ )

2 TVDMD

+F2

18 ,75 γ g (MD )=( pmf−p tf ) ( Imf + Itf ) 18 ,75 γ g (MD )=( pwf−pmf ) ( Iwf+ Imf )

18 ,75 γ g (MD )∗2=( pwf−ptf )

3 ( I tf+4 I mf+ Iwf )

;

F=0 ,10796 q

d2 ,612d<4 ,277 in . F=

0 ,10337 q

d2 ,582d>4 ,277 in .;

I=

pZT

0 ,001 ( pTZ )

2 TVDMD

+F2

18 ,75 γ g (MD )=( pmf−p tf ) ( Imf + Itf ) 18 ,75 γ g (MD )=( pwf−pmf ) ( Iwf+ Imf )

18 ,75 γ g (MD )∗2=( pwf−ptf )

3 ( I tf+4 I mf+ Iwf )

TVDMD

=cosθ;

10300 9.768 1.00 102.38 102.389270 9.393 1.00 105.88 105.888240 8.954 1.00 109.66 109.667210 8.431 1.00 114.41 114.416180 7.790 1.00 120.91 120.915150 6.980 1.00 130.46 130.464120 5.935 1.00 145.08 145.083090 4.617 1.00 166.55 166.552060 3.080 1.00 187.54 187.541030 1.488 1.00 157.07 157.07

0 0 1.00 0 0

Presion Ppc Tpc Ppr TprPSI (PSI) (oR)

10300 663.61 386 15.521 1.8939270 663.61 386 13.969 1.8938240 663.61 386 12.417 1.8937210 663.61 386 10.865 1.8936180 663.61 386 9.313 1.8935150 663.61 386 7.761 1.8934120 663.61 386 6.208 1.8933090 663.61 386 4.656 1.8932060 663.61 386 3.104 1.8931030 663.61 386 1.552 1.893

0 663.61 386 0.000 1.893

Segunda Prueba

Presion Media Pmf/(Tmf*Zmf) Cos 0º Iwf ImfPozo (psia)

9648 10.51 1.00 102.380 95.1158639 10.08 1.00 105.876 98.7467631 9.57 1.00 109.661 102.8406626 8.97 1.00 114.406 107.9245628 8.26 1.00 120.908 114.7574638 7.35 1.00 130.457 124.9463660 6.18 1.00 145.085 140.8732689 4.68 1.00 166.547 165.3861704 2.90 1.00 187.537 188.961605 0.95 1.00 157.065 116.847

0 0 1.00 0 0

Presion Fluyente Ppc Tpc Ppr TprPSI (PSI) (oR)

9648 665.103 380.449 14.506 1.7458639 665.103 380.449 12.989 1.7457631 665.103 380.449 11.474 1.7456626 665.103 380.449 9.963 1.7455628 665.103 380.449 8.461 1.7454638 665.103 380.449 6.974 1.7453660 665.103 380.449 5.503 1.745

2689 665.103 380.449 4.043 1.7451704 665.103 380.449 2.562 1.745605 665.103 380.449 0.909 1.745

0 665.103 380.449 0.000 1.745

Tercera Prueba

Presion media Pmf/(Tmf*Zmf) Cos 0º Iwf ImfPozo (psia)

9624 10.503 1.00 102.380 95.2148617 10.068 1.00 105.876 98.8437612 9.561 1.00 109.661 102.9306609 8.967 1.00 114.406 108.0025613 8.248 1.00 120.908 114.9204627 7.343 1.00 130.457 125.0853653 6.168 1.00 145.085 141.0662688 4.674 1.00 166.547 165.4331705 2.902 1.00 187.537 188.947542 0.853 1.00 157.065 106.763

0 0.000 1.00 0.000 0.000

Presion Fluyente Ppc Tpc Ppr TprPSI (PSI) (oR)

9624 665.103 380.449 14.470 1.7458617 665.103 380.449 12.956 1.7457612 665.103 380.449 11.444 1.7456609 665.103 380.449 9.937 1.7455613 665.103 380.449 8.440 1.7454627 665.103 380.449 6.957 1.7453653 665.103 380.449 5.492 1.7452688 665.103 380.449 4.041 1.7451705 665.103 380.449 2.564 1.745542 665.103 380.449 0.816 1.745

0 665.103 380.449 0.000 1.745

0 1 2 3 4 5 6 7 8 9

0

2000

4000

6000

8000

10000

12000

Well Tubing PerformanceCullender and Smith

Caudal (MMpcd)

Pre

sio

n e

n C

ab

eza

de

Po

zo

(P

sia

)

0 1 2 3 4 5 6 7 8 9

0

2000

4000

6000

8000

10000

12000

Well Tubing PerformanceCullender and Smith

Caudal (MMpcd)P

res

ion

en

Ca

be

za

de

Po

zo

(P

sia

)

ANALISIS DE LA COLUMNA DE FLUIDO VERTICALFLUJO MONOSAFICO

MÉTODO CULLENDER AND SMITH

Lower Half of Flow String

Lower Half of Flow String

Pmf

F=0 ,10337 q

d2 ,582d>4 ,277 in .

18 ,75 γ g (MD )=( pwf−pmf ) ( Iwf+ Imf )

F=0 ,10337 q

d2 ,582d>4 ,277 in .

18 ,75 γ g (MD )=( pwf−pmf ) ( Iwf+ Imf )

TVDMD

=cosθ

964886397631662656284638366026891704605

0

A B C D FACTOR COMP."Z"

0.58879 9.37572 0.04328 1.08829 1.4450.58879 7.84073 0.04328 1.08829 1.3520.58879 6.44327 0.04328 1.08829 1.2610.58879 5.18032 0.04328 1.08829 1.1720.58879 4.04979 0.04328 1.08829 1.0870.58879 3.05031 0.04328 1.08829 1.0110.58879 2.18106 0.04328 1.08829 0.9510.58879 1.44156 0.04328 1.08829 0.9170.58879 0.83159 0.04328 1.08829 0.9160.58879 0.35108 0.04328 1.08829 0.9480.58879 0.00000 0.04328 1.08829 1

Pmf comparacion

9624 96488617 86397612 76316609 66265613 56284627 46383653 36602688 26891705 1704542 605

0 0

A B C D FACTOR COMP."Z"

0.53333 11.66677 0.05463 1.02556 1.3820.53333 9.48281 0.05463 1.02556 1.2910.53333 7.59983 0.05463 1.02556 1.2010.53333 5.97001 0.05463 1.02556 1.1120.53333 4.56318 0.05463 1.02556 1.0260.53333 3.35971 0.05463 1.02556 0.9500.53333 2.34291 0.05463 1.02556 0.892

0.53333 1.49849 0.05463 1.02556 0.8660.53333 0.80684 0.05463 1.02556 0.8850.53333 0.22980 0.05463 1.02556 0.9540.53333 0.00000 0.05463 1.02556 1.000

Pmf comparacion

9624 96248618 86177612 76126610 66095614 56134627 46273653 36532688 26881705 1705524 542

0 0

A B C D FACTOR COMP."Z"

0.53333 11.61100 0.05463 1.02556 1.3800.53333 9.43883 0.05463 1.02556 1.2890.53333 7.56519 0.05463 1.02556 1.1990.53333 5.94392 0.05463 1.02556 1.1100.53333 4.54491 0.05463 1.02556 1.0250.53333 3.34699 0.05463 1.02556 0.9490.53333 2.33594 0.05463 1.02556 0.8920.53333 1.49745 0.05463 1.02556 0.8660.53333 0.80767 0.05463 1.02556 0.8850.53333 0.20344 0.05463 1.02556 0.9580.53333 0.00000 0.05463 1.02556 1.000

0 1 2 3 4 5 6 7 8 9

0

2000

4000

6000

8000

10000

12000

Well Tubing PerformanceCullender and Smith

Caudal (MMpcd)

Pre

sio

n e

n C

ab

eza

de

Po

zo

(P

sia

)

0 1 2 3 4 5 6 7 8 9

0

2000

4000

6000

8000

10000

12000

Well Tubing PerformanceCullender and Smith

Caudal (MMpcd)

Pre

sio

n e

n C

ab

eza

de

Po

zo

(P

sia

)

ANÁLISIS DE LA COLUMNA DE PRODUCCION GAS - CONDENSADO

MÉTODO GRAYFracción de líquido Holdup

Pérdida de presión debido altura Rugosidad efetiva igual depende de Rv

Velocidad del fluídoPresión Caudal Gas Caudal Cond. Caudal Agua Gas Condensado Agua

Pfw MMscfd BPD BPD Pie/sg Pie/sg Pie/sg5000 0.00 0 0 0.0000 0.00000 0.000004498 0.63 15 54 0.0107 0.00039 0.000264044 1.22 28 105 0.0223 0.00076 0.000503635 1.76 41 152 0.0349 0.00109 0.000733265 2.25 53 194 0.0487 0.00140 0.000932930 2.69 63 232 0.0640 0.00167 0.001112627 3.07 72 265 0.0812 0.00191 0.001272405 3.33 78 287 0.0960 0.00207 0.001371892 4.02 94 347 0.1496 0.00250 0.001661469 4.57 107 394 0.2249 0.00284 0.001881113 4.99 117 430 0.3345 0.00311 0.00206803 5.31 124 458 0.0000 0.00331 0.00219511 5.56 130 479 0.0000 0.00346 0.00229110 5.74 134 495 0.0000 0.00357 0.00237

0 5.88 138 507 0.0000 0.00366 0.00243

H L=1−(1−λL ) (1−exp{−2 ,314 [N1 (1+205N2

)]N3})

N1=ρNS2 um4

g σ (ρL−ρg )N2=

g d2 (ρL−ρg )σ

N3=0 ,0814 [1−0 ,00554 ln(1+730 Rν

Rν+1 )]ρNS=ρg (1−λL )+ ρL λL Rν=

uso+uswusg

=usLusg

Δpf=2 f tp GM

2 dL

144 gc d ρNS

GM=ρL usL+ρg usg

Rν>0 ,007 k e=k º

Rν<0 ,007 k e=k+Rν ( kº − k0 ,0007 )

kº=28 . 5 σ

ρNS um2

Temp. Reserv Pres. Reserv Ppc Tpc Ppr TprºR PSI (PSI) (oR)

624.50 5000 665.103 380.449 7.518 1.641624.50 4498 665.103 380.449 6.762 1.641624.50 4044 665.103 380.449 6.081 1.641624.50 3635 665.103 380.449 5.465 1.641624.50 3265 665.103 380.449 4.909 1.641624.50 2930 665.103 380.449 4.405 1.641624.50 2627 665.103 380.449 3.949 1.641624.50 2405 665.103 380.449 3.616 1.641624.50 1892 665.103 380.449 2.845 1.641624.50 1469 665.103 380.449 2.208 1.641624.50 1113 665.103 380.449 1.673 1.641

ANÁLISIS DE LA COLUMNA DE PRODUCCION GAS - CONDENSADO

MÉTODO GRAYVelocidades Superficiais

Gás

Petróleo

Água

Pérdida de Presión Hidrostática

Velocidad del fluídoMescla Densidad del Gas Fracion Líquido Fracion Gás Fracion condensado Fracion AguaPie/sg lb/pie^3 fo fw

0.00000 15.47 0.0000 0.0000 0 00.01139 14.53 0.000615 0.9994 0.2135 0.78650.02359 13.55 0.000615 0.9994 0.2135 0.78650.03673 12.55 0.000615 0.9994 0.2135 0.78650.05106 11.51 0.000615 0.9994 0.2135 0.78650.06682 10.46 0.000615 0.9994 0.2135 0.78650.08443 9.43 0.000615 0.9994 0.2135 0.78650.09945 8.63 0.000615 0.9994 0.2135 0.78650.15375 6.69 0.000615 0.9994 0.2135 0.78650.22964 5.06 0.000615 0.9994 0.2135 0.78650.33967 3.72 0.000615 0.9994 0.2135 0.78650.005500.005750.005940.00609

N3=0 ,0814 [1−0 ,00554 ln(1+730 Rν

Rν+1 )]

usg=qgA

=qsc Bg

A

usw=6,5 x 10−5 qw Bw

A

uso=6,5x 10−5 qo Bo

A

k e=k+Rν ( kº − k0 ,0007 )

ΔPHH=ρm g dz

144 gc

ρm=HL ρL+ (1−H L ) ρg

λL λg

A B C D FACTOR MaCOMP.Zmed lbm/lb-mol

0.48873 4.60198 0.06312 0.99482 0.963 19.9630.48873 3.86136 0.06312 0.99482 0.922 19.9630.48873 3.25639 0.06312 0.99482 0.889 19.9630.48873 2.75692 0.06312 0.99482 0.863 19.9630.48873 2.34121 0.06312 0.99482 0.845 19.9630.48873 1.99298 0.06312 0.99482 0.834 19.9630.48873 1.69973 0.06312 0.99482 0.83 19.9630.48873 1.49854 0.06312 0.99482 0.83 19.9630.48873 1.07416 0.06312 0.99482 0.842 19.9630.48873 0.76698 0.06312 0.99482 0.865 19.9630.48873 0.53859 0.06312 0.99482 0.892 19.963

ANÁLISIS DE LA COLUMNA DE PRODUCCION GAS - CONDENSADO

MÉTODO GRAY

Tensão Interfacial da mistura68 ºF>=T>=100 ºF 68 ºF<T<100 ºF 74 ºF>=T>=280 ºF

Densidad del Líquido Densidad de Mezcla Tension Interfacial Tension Interfacial Tension Interfacial(lb/pie^3) no slip (lb/pie^3) Gas/oil (dyna/cm) Gas/oil (dyna/cm) Gas/Agua (dyna/cm)

0.00 0.00 22.1 0.0 0.058.92 14.56 22.1 0.0 0.058.92 13.58 22.1 0.0 0.058.92 12.57 22.1 0.0 0.058.92 11.54 22.1 0.0 0.058.92 10.49 22.1 0.0 0.058.92 9.46 22.1 0.0 0.058.92 8.66 22.1 0.0 0.058.92 6.73 22.1 0.0 0.058.92 5.09 22.1 0.0 0.058.92 3.75 22.1 0.0 0.0

Densidad Gas X Y K VIS.GAS(GR/CC) CP

0.248 5.27849 1.34430 126.09673 0.0280.233 5.27849 1.34430 126.09673 0.0270.217 5.27849 1.34430 126.09673 0.0250.201 5.27849 1.34430 126.09673 0.0230.184 5.27849 1.34430 126.09673 0.0220.168 5.27849 1.34430 126.09673 0.0200.151 5.27849 1.34430 126.09673 0.0190.138 5.27849 1.34430 126.09673 0.0180.107 5.27849 1.34430 126.09673 0.0160.081 5.27849 1.34430 126.09673 0.0150.060 5.27849 1.34430 126.09673 0.014

Tensão Interfacial da mistura74 ºF<T<280 ºF

Tension Interfacial Tension de Mezcla N1 N2 N3Gas/Agua (dyna/cm) (lbm pie/sec^2)

45.65 0.000 0 0 0.081446.92 0.092 2.72E-08 138221 0.064548.49 0.094 4.14E-07 137200 0.064849.50 0.096 2.00E-06 137687 0.065150.00 0.097 6.11E-06 139510 0.065555.80 0.107 1.31E-05 129201 0.065959.70 0.114 2.51E-05 124135 0.066365.33 0.124 3.67E-05 116174 0.066766.50 0.126 1.20E-04 118703 0.067766.98 0.127 3.29E-04 121615 0.068967.25 0.127 8.30E-04 124185 0.0702

Bg BgPCS/pc pc/PCS293.90 0.0034276.13 0.0036257.52 0.0039238.42 0.0042218.71 0.0046198.86 0.0050179.14 0.0056164.03 0.0061127.21 0.007996.12 0.010470.62 0.0142

Relacion de Velocidades Fracion Holdup Gm Viscosidad de Mezcla Número de ReynoldsRv HL cp Nre0 0 0 0 0

0.060 0.471463 0.179 0.0276 120.056 0.409703 0.347 0.0256 250.052 0.373781 0.502 0.0236 390.048 0.348723 0.643 0.0226 520.043 0.331970 0.769 0.0206 680.039 0.318156 0.879 0.0196 810.036 0.310336 0.951 0.0186 930.028 0.285389 1.149 0.0166 1240.021 0.264444 1.305 0.0156 1500.015 0.245367 1.426 0.0146 174

Rugosidad efectiva Fator de Friccion Perdida de Presion por Friccion Densidad Esp. MezclaRe ftp DPf (psi) lb/pie^30 0 0 15.465

1122 0.0406 1.4923E-04 35.458262 0.0730 1.0814E-03 32.139113 0.1132 3.7915E-03 29.88065 0.1608 9.6197E-03 28.04260 0.1703 1.5997E-02 26.55055 0.1815 2.4715E-02 25.17342 0.2238 3.8941E-02 24.23838 0.2437 7.9734E-02 21.59925 0.3612 2.0152E-01 19.30116 0.6111 5.5273E-01 17.261

Perdida de Presion Hidrostática Presion en CabezaDPhh (psi) Pwh (psia)

1010 36342315 31932098 9371950 37821831 33851733 11971643 9831582 8231410 4821260 2091127 -14