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Unformatted text preview: PGE 312  FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 4 Key 1/7 1. Problem 61 The amount of gas in the vessel is 38086 scf ( ) ( ) 3 100 10.73 60 460 38086 14.65 P V n R T psi ft lbmol R R lb mol nRT V s c f P p s i a = ⋅ + ⋅ − ⋅ − ⋅ − ⋅ − = = = = = = = = = = = = o 2. Problem 68 The volume is 1.53*10 10 scf o Use Eq. 62 (McCain) to calculate Bg. From example 310; Z = 0.951. ( ) ( ) ( ) 3 0.951 194 460 0.02827 0.02827 4.61 10 3810 R z T c f Bg P psia scf ° − + = = = ⋅ = = = ⋅ = = = ⋅ = = = ⋅ o Calculate the gas reserve ( ) ( ) ( ) ( ) ( ) 2 10 3 43560 / 640 21 0.18 1 0.33 43560 (1 ) 1.53 10 4.61 10 ft acre acres ft Ah Sw G scf Bg φ − − − = = = ⋅ = = = ⋅ = = = ⋅ = = = ⋅ ⋅ 3. Problem 610 Calculate pseudoreduced properties of the gas mixture. Then determine Z. (1) (2) (3) (4) (5) (6) Component Mole fract. MW Tci ( R ) Pci (psia) Tci*yi Pci*yi H2S 0.1 34.0800 672.4 1300 67.240 130.000 CO2 0.05 44.0100 547.9 1071 27.395 53.550 N2 0.021 28.0134 227.5 493.1 4.778 10.355 Methane 0.7030 16.0430 343 666 241.361 468.479 Ethane 0.0620 30.0700 550 707 34.095 43.803 Propane 0.0370 44.0970 666 616 24.642 19.499 nButane 0.0270 58.1230 765 550 20.655 13.230 1.0000 420.1655 743.83 Correct for the presence of H2S. From Fig. 312, ε = 2 1 &R ' 420.16 21 399.16 pc pc T T R ε = − = − = − = − = − = = − = = − = = − = o PGE 312  FALL 2003 Physical and Chemical Behavior of Petroleum Fluids Homework 4 Key 2/7 ( ) ( ) ( ) ( ) ( ) 2 2 ' ' 1 743.83 399.16 420.16 0.1 1 0.1 21 703.49 pc pc pc pc H S H S P T P T y y psia ε = + − + − + − + − = + − + − + − + − = 5434 P 7 . 7 2 703.49 pr pc P p s i a P p s i a = = = = = = = = = = = = (257 460) 1.79 (399.16) pr pc T R T T R + ° + ° + ° + ° = = = = = = = = = = = = ° From Fig. 37 (McCain); Z = 1 .02 ( ) ( ) ( ) 3 1.02 257 460 0.02827 0.02827 3.804 10 5434.7 R z T c f Bg P psia scf ° − + = = = ⋅ = = = ⋅ = = = ⋅ = = = ⋅ 4. Problem 612 Calculate pseudoreduced properties of the gas mixture. Calculate the apparent molecular weight of the gas mixture. Then determine Z. (1) (2) (3) (4) (5) (6) (7) (8) Component Mole fract. MW MWi*Yi MWi*Yi/ ∑ MWi*Yi Tci ( R ) Pci (psia) Tci*yi Pci*yi H2S 0.0000 34.0800 0.0000 0.0000 672.4 1300 0.000 0.000 CO2 0.0167 44.0100 0.7350 0.0323 547.9 1071 9.150 17.886 N2 0.0032 28.0134 0.0896 0.0039 227.5 493.1 0.728 1.578 Methane 0.7108 16.0430 11.4034 11....
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 Spring '08
 Peters
 psia, Equation of state, bg

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