Spring09_Test3_Key

Spring09_Test3_Key - 1 PGE 312 SPRING 2009 Physical and...

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1 PGE 312 - SPRING 2009 Physical and Chemical Behavior of Petroleum Fluids I Test #3, 50 Minutes Solution Key Problem 1 (30 points) A dry gas field owned by your company has the following properties and production history. Area = 850 acres Porosity = 13% Net pay thickness = 54 ft Initial water saturation = 0.52 Reservoir temperature e = 164 ºF Table 1. Gas Production History C u m u l a t i v e Reservoir Gas Gas Time Pressure Z-Factor Production P/Z (years) (psia) (MMMscf) (psia) 0.0 1798 0.869 0.00 2069.04 0.5 1680 0.870 0.96 1931.03 1.0 1540 0.880 2.12 1750.00 1.5 1428 0.890 3.21 1604.49 2.0 1335 0.900 3.92 1483.33 Note: MMMscf = scf 9 10 a. Calculate the initial gas in place by volumetrics. Give your answer in standard cubic feet (scf). ( ) () ( ) ( ) ( ) ( ) ( ) ( ) 8 9 3 43560 1 43560 850 54 0.13 1 0.52 1.248 10 14.63 10 8.526 10 0.02827 0.869 164 460 1798 wi gi gi Ah S HCPV G BB x x scf x φ == + ⎡⎤ ⎢⎥ ⎣⎦ =
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2 b. Plot an appropriate graph that can be used to determine the initial gas in place from the production history. Please use all the available data. A graph paper is provided for your convenience. The material balance equation for a dry gas reservoir is given by 1 ii p PP P G ZZ Z G ⎛⎞ =− ⎜⎟ ⎝⎠ The graph of vs p P G Z should be linear and will extrapolate to G at 0. P Z = Figure 1 shows the graph based on the given production history. Figure 1. vs p P G Z for dry gas reservoir.
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This note was uploaded on 04/21/2010 for the course PGE 312 taught by Professor Peters during the Spring '08 term at University of Texas.

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Spring09_Test3_Key - 1 PGE 312 SPRING 2009 Physical and...

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