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NMT PET 524 - PET 524 Homework No. 4

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PET 524 Fluid Flow in Porous Media Homework No. 4 Assigned: Nov. 9, 2010 Due: Nov. 23, 2010 Problem 1 Suppose two wells exist 250 feet apart, due west of a north – south trending fault. Well A has been flowing for 8 days at a rate of 350 bpd. Well B has been producing for 4 days at a constant rate of 500 bpd. The skin factor for both wells is +0. Reservoir and well properties are given below. Pi = 3,000 psia B = 1.13 rbbl/stb  = 0.50 cp k = 25 md. h = 50 ft. ct = 2 x 10-5 psi-1  = 0.16 rw = 0.333 ft. Calculate the pressure in both wells at the end of eight days. faultAd=250ftB250ftProblem 2 A new stimulation technique is to drill small diameter jetted laterals penetrating the formation of interest. Three laterals of length, L and diameter, d are drilled at an angle of 120 apart. Consider the formation has constant thickness, h, bounded above and below with no flow boundaries. The reservoir is infinite-acting in the lateral plane. Starting with conservation of mass, derive (do not solve) an expression for fluid flow for the given problem. Include initial and boundary conditions. State all assumptions. 120120120Ldwellboreno flow boundaryno flow boundaryhlateralTop view3D


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NMT PET 524 - PET 524 Homework No. 4

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