HWK 3-solution

# HWK 3-solution - PGE 362 Production Engineering HWK 3 This...

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PGE 362 Production Engineering HWK 3 This assignment is due at lecture time on Friday, Sept. 28, 2007. (1) Please compute the flowing surface pressure for a gas well with the following data. Bottom hole pressure (P1) = 4000 psi Bottom hole temperature (T1) = 200 deg F Depth = 8000’ Hole Angle from horizontal = 90 degrees Tubing ID = 2” Surface temperature (T2) = 100 deg F Gas gravity = 0.7 Gas Flow Rate = 2,000 MScf/Day Please use the PPS software in the LRC to estimate the gas properties. You may assume a hydraulically smooth pipe Iterate until the pressure change is less than 2%. Please refer to section 7-3 in the text. The surface pressure is unknown. Therefore, the average values for gas viscosity and z factor are also unknown. Iteration 1: Assume the gas properties do not change between P1 and P2. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 Re 1/ 4 0.25 Re 2 2 2 1 From PPS at 150 deg F avg temperature: 0.0254 cp z=0.88 0.7 2000 20.09 20.09 553,661 2 0.0254 0.0791 0.0791 0.0029 553,661 0.0375 0.7 sin 90 8,000 0.0375 sin 0.391 0.88 460 150 q N D f N L s zT p p e μ γ μ γ θ = = = = = = = - - = = = - + = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 3 5 2 2 2 0.391 3 0.391 2 5 2 2.685 10 1 sin 0.0029 0.88 460 150 2000 4000 2.685 10 1 sin 90 2 3,276 psi s s f zTq x e D p e x e p θ - - - - + - + = + - =

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Iteration 2:
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