HWK 8 solution - Production Engineering PGE 362 Homework 8...

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Unformatted text preview: Production Engineering PGE 362 Homework 8 This is due in lecture time on Nov. 2, 2007. 10 points possible. (1) Please construct on one graph an inflow performance relation based on Vogel's Equation for the following conditions. (a) p = ? psi Bo = 1.5 bbl/STB =0.4 cp pb = 3560 psi BHT=180 deg F Oil = 40 deg API GOR = 900 Scf/STB qo1 = 500 STBO/Day qo 2 = 1000 STBO/Day re = 1050 ' k o =10 md rw = 0.17 ' h=100' g = 0.7 WOR=0 pwf 1 = 3192 psi pwf 2 = 2827 psi Use the well tests in Vogel's Equation to determine the maximum flow rate and the average reservoir pressure at this time. 2 2827 2827 qmax = - 0.2 1 - 0.8 /1000 p p 2 3192 3192 -qmax = - - 0.2 1 - 0.8 / 500 p p 2 2 3192 3192 2827 2827 1 - 0.8 / 1 - 0.8 /1000 - 0.2 500 = - 0.2 p p p p 2 p 2 - 0.2 ( 2 ) p ( 3192 ) - 0.8 ( 2 ) ( 3192 ) = p 2 - 0.2 p ( 2827 ) - 0.8 ( 2827 ) 2 2 p 2 - 711.4 p - 9908639.2 = 0 p = 3524 psi qmax 2 2827 2827 = 1000 / - 0.2 1 - 0.8 = 3080 STBO/Day 3524 3524 (calculations are worth 2 points) (b) the same reservoir conditions except that p = 2000 psi J* = p k o = 7 md Bo =1.293 bbl/STB and = 0.53 cp. qmax 3080 1.8 = 1.8 = 1.573 p 3524 J* = J* f p ( k0 / Bo ) f ( ko / Bo ) p = 1.573 ( 7 /1.293 / 0.53) ( 10 /1.5 / 0.4 ) = 0.964 2 J* pf p p f - 0.2 wf - 0.8 wf qof = 1 p f 1.8 pf 2 pwf 0.964 ( 2000 ) pwf - 0.2 qof = 1 - 0.8 1.8 2000 2000 (calculations are worth 2 points) The flow test data of part (a) is no longer valid for part (b). 4000 3500 3000 2500 Pwf (psi) 2000 1500 1000 500 0 0 500 1000 1500 2000 2500 3000 3500 Oil Rate (STBO/Day) 3524 psi 2000 psi (graph is worth 1 point) (2) Using the reservoir data of part (1) please construct the vertical lift performance lines on the graph for 3 " (3" ID) and 2 7/8" (2.5" ID) tubing. Depth=8000' Surface temperature=100 deg F Surface pressure=125 psi Pipe roughness=0.0006 Please use the Beggs and Brill correlation. 4000 3500 3000 2500 Pwf (psi) 2000 1500 1000 500 0 0 500 1000 1500 2000 2500 3000 3500 Oil Rate (STBO/Day) 3524 psi 2000 psi 2 7/8" tubing 3 1/2" tubing (graph is worth 3 points) (3) Using your graph, please predict the maximum flow rate for each tubing size. (2 points) Average Pressure Maximum Oil Rate (STBO/Day) (psi) 2 7/8" 3 " (a) 3524 2050 2300 (b) 2000 600 650 ...
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This homework help was uploaded on 04/07/2008 for the course PGE 362 taught by Professor Bommer during the Spring '08 term at University of Texas at Austin.

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