Fall 2010 Test 3_Key

Fall 2010 Test 3_Key - 1 PGE 312 FALL 2010 Physical and...

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1 PGE 312 – FALL 2010 Physical and Chemical Behavior of Petroleum Fluids I Test #3, 50 Minutes Solution Key Problem 1 (30 points) Your company has discovered a dry gas reservoir with the following characteristics: Reservoir temperature = 180˚F Initial reservoir pressure = 8000 psia Z-factor at initial pressure = 1.26 After the reservoir has produced 200x10 6 scf of gas, the reservoir pressure was measured and found to be 5600 psia. The Z-factor at this pressure is 1.04. a. Determine the initial gas in place in standard cubic feet. Material balance equation for a dry gas reservoir is given by 1 ii p PP P G ZZ Z G     (1) Given the initial pressure and one production datum point at a lower pressure, Eq.(1) can be solved directly for the initial gas in place as  6 9 8000 200 10 1.26 1.316 10 8000 5600 1.26 1.04 i p i i i P G Z G P P   scf b. Determine the hydrocarbon pore volume in reservoir cubic feet. For a dry gas reservoir, another version of the material balance equation is given by p g HCPV G B  G ( 2 ) Eq.(2) is valid at any time including at initial conditions when there was no production ( ). If we apply Eq.(2) at the initial conditions, then 0 p G gi HCPV GB ( 3 )
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2    3 1.26 180 460 res cu ft 0.02827 0.02827 2.850 10 8000 scf i gi i ZT B P        936 1.316 10 2.850 10 3.751 10 res cu ft HCPV 
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This note was uploaded on 11/27/2011 for the course PGE 312 taught by Professor Peters during the Spring '08 term at University of Texas.

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Fall 2010 Test 3_Key - 1 PGE 312 FALL 2010 Physical and...

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