kuliah3 ipr dua fasa

IPR DUA FASA

Muhammad Taufiq Fathaddin

I. Vogel Equation

qo = flow rate, STB/Dqmax = flow rate @ Pwf = 0, STB/DPwf = flowing bottom hole pressure,

psiPr = reservoir pressure, psi

Example 1Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ pwf = 500 psi

1. Determine q max2. Construct IPR Curve3. Determine q at pwf = 1000 psi

Solution

1. Determine qmax@S=0 =

Solution2. Construct IPR Curve

Pwf, psi q, STB/D0 1111.1

200 1080.0400 1031.1600 964.4800 880.0

1000 777.81200 657.81400 520.01600 364.41800 191.12000 0.0

Solution3. Find q for Pwf = 1000 psi Pwf = 1000 psi , q = 777.8 STB/D (obtained

from Figure/Table)

II. Harrison Equation

Example 1Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ pwf = 500 psi

1. Determine q max2. Construct IPR Curve3. Determine q at pwf = 1000 psi

Solution

1. Determine qmax@S=0 =

Solution2. Construct IPR Curve

pwf, psi q, STB/D0 1127.4

200 1083.2400 1030.2600 966.9800 891.2

1000 800.51200 692.11400 562.41600 407.31800 221.72000 0.0

Solution3. Find q for Pwf = 1000 psi Pwf = 1000 psi , q = 800.5 STB/D (obtained

from Figure/Table)

III. Pudjo Sukarno Equation

Example 1Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ pwf = 500 psi

1. Determine q max2. Construct IPR Curve3. Determine q at pwf = 1000 psi

Solution

1. Determine qmax@S=0 =

Solution2. Construct IPR Curve

Pwf, psi q, STB/D0 1063.0

200 1051.0400 1021.4600 974.1800 908.5

1000 823.41200 716.81400 586.01600 427.01800 234.82000 0

Solution3. Find q for Pwf = 1000 psi Pwf = 1000 psi , q = 823.4 STB/D (obtained

from Figure/Table)

IV. Klins Equation

Example 1Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ pwf = 500 psi

1. Determine q max2. Construct IPR Curve3. Determine q at pwf = 1000 psi

Solution1. Determine qmax@S=0 =

Solution2. Construct IPR Curve

Pwf, psi q, STB/D0 1088.9

200 1056.3400 1020.5600 977.0800 921.0

1000 847.01200 749.51400 622.31600 459.41800 254.12000 0.0

Solution3. Find q for Pwf = 1000 psi Pwf = 1000 psi , q = 847 STB/D (obtained

from Figure/Table)

V. Wiggins Equation

qo = flow rate, STB/Dqmax = flow rate @ Pwf = 0, STB/DPwf = flowing bottom hole pressure,

psiPr = reservoir pressure, psi

Example 1Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ pwf = 500 psi

1. Determine q max2. Construct IPR Curve3. Determine q at pwf = 1000 psi

Solution

1. Determine qmax@S=0 =

Solution2. Construct IPR Curve

Pwf, psi q, STB/D0 1190.3

200 1122.8400 1043.8600 953.4800 851.5

1000 738.11200 613.41400 477.11600 329.41800 170.32000 0

Solution3. Find q for Pwf = 1000 psi Pwf = 1000 psi , q = 738.1 STB/D (obtained

from Figure/Table)

Gema-Taufiq Equation

Example 1Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ pwf = 500 psi

1. Determine q max2. Construct IPR Curve3. Determine q at pwf = 1000 psi

Solution

1. Determine qmax@S=0 =

Solution2. Construct IPR Curve

Pwf, psi q, STB/D

0 1156.9200 1104.7400 1038.4600 958.0800 863.5

1000 754.91200 632.11400 495.31600 344.31800 179.22000 0

Solution3. Find q for Pwf = 1000 psi Pwf = 1000 psi , q = 754.9 STB/D (obtained

from Figure/Table)

Task # 1Given data:Pr = 1345 psia (Pb = 3000 psia)A test shows q = 321 bpd at a flowing

pressure of 719 psia.API > 40 and S = 0Calculate:(1). qomax at 1345 psia(2). Construct IPR Curve using Vogel,

Harrison, Pudjo Sukarno Method, Klins, Wiggins, and Gema-Taufiq Methods

(3). Determine q at Pwf = 950 psi