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    IPR DUA FASA

    Muhammad Taufq Fathaddin

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    I. Vogel Equation

    qo = fow rate, STB/Dqma = fow rate ! Pw" = #, STB/DPw" = fowing $ottom %ole &re''ure,

    &'iPr = re'er(oir &re''ure, &'i

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    E am&le )Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ p ! = "00 psi

    1# Determine q ma$2# %&nstru't P %ur*e+# Determine q at p ! = 1000 psi

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    Solution

    1# Determine q ma$@,=0 =

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    Solution2# %&nstru't P %ur*e

    Pwf, psi q, STB/D0 1111.1

    200 1080.0400 1031.1

    600 964.4800 880.0

    1000 777.81200 657.81400 520.0

    1600 364.41800 191.12000 0.0

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    Solution+# Find q !&r P ! = 1000 psi

    P ! = 1000 psi - q = ...#/ ,T D (&btained!r&m Fi ure Tab3e)

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    II. *arri'on Equation

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    E am&le )Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ p ! = "00 psi

    1# Determine q ma$2# %&nstru't P %ur*e+# Determine q at p ! = 1000 psi

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    Solution

    1# Determine q ma$@,=0 =

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    Solution2# %&nstru't P %ur*e

    pwf, psi q, STB/D0 1127.4

    200 1083.2400 1030.2

    600 966.9800 891.21000 800.51200 692.11400 562.41600 407.31800 221.72000 0.0

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    Solution+# Find q !&r P ! = 1000 psi

    P ! = 1000 psi - q = /00#" ,T D (&btained!r&m Fi ure Tab3e)

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    III. Pu+ o Su-arno Equation

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    E am&le )Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ p ! = "00 psi

    1# Determine q ma$2# %&nstru't P %ur*e+# Determine q at p ! = 1000 psi

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    Solution

    1# Determine q ma$@,=0 =

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    Solution2# %&nstru't P %ur*e

    Pwf, psi q, STB/D0 1063.0

    200 1051.0400 1021.4

    600 974.1800 908.51000 823.41200 716.81400 586.01600 427.01800 234.82000 0

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    Solution+# Find q !&r P ! = 1000 psi

    P ! = 1000 psi - q = /2+#4 ,T D (&btained!r&m Fi ure Tab3e)

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    IV. lin' Equation

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    E am&le )Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ p ! = "00 psi

    1# Determine q ma$2# %&nstru't P %ur*e+# Determine q at p ! = 1000 psi

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    Solution

    1# Determine q ma$@,=0 =

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    Solution2# %&nstru't P %ur*e

    Pwf, psi q, STB/D0 1088.9

    200 1056.3400 1020.5

    600 977.0800 921.01000 847.01200 749.51400 622.31600 459.41800 254.12000 0.0

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    Solution+# Find q !&r P ! = 1000 psi

    P ! = 1000 psi - q = /4. ,T D (&btained!r&m Fi ure Tab3e)

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    E am&le )Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ p ! = "00 psi

    1# Determine q ma$2# %&nstru't P %ur*e+# Determine q at p ! = 1000 psi

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    Solution

    1# Determine q ma$@,=0 =

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    Solution2# %&nstru't P %ur*e

    Pwf, psi q, STB/D0 1190.3

    200 1122.8400 1043.8

    600 953.4800 851.51000 738.11200 613.41400 477.11600 329.41800 170.32000 0

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    Solution+# Find q !&r P ! = 1000 psi

    P ! = 1000 psi - q = .+/#1 ,T D (&btained!r&m Fi ure Tab3e)

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    0ema1Tau2q Equation

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    E am&le )Diketahui:Pr = 2000 psi (pb = 2000 psi)Q = 1000 bpd @ p ! = "00 psi

    1# Determine q ma$2# %&nstru't P %ur*e+# Determine q at p ! = 1000 psi

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    Solution

    1# Determine q ma$@,=0 =

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    Solution2# %&nstru't P %ur*e

    Pwf, psi q, STB/D0 1156.9

    200 1104.7400 1038.4

    600 958.0800 863.5

    1000 754.91200 632.11400 495.3

    1600 344.31800 179.22000 0

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    Solution+# Find q !&r P ! = 1000 psi

    P ! = 1000 psi - q = ."4#5 ,T D (&btained!r&m Fi ure Tab3e)

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    Ta'- 3 )

    6i*en data:Pr = 1+4" psia (Pb = +000 psia)7 test sh& s q = +21 bpd at a 8& in

    pressure &! .15 psia#7P 9 40 and , = 0%a3'u3ate:(1)# q &ma$ at 1+4" psia

    (2)# %&nstru't P %ur*e usin & e3-;arris&n- Pudi ins- and 6ema?Taufq Meth&ds

    (+)# D t i t P ! 5"0 i