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Unformatted text preview: Exam 2 Key PGE 331 Fundamentals of Reservoir Engineering Open book, notes. Read each problem carefully and show all work. 1. Layered Reservoir and Decline Curves. (10 points) For a non-communicating layered reservoir with a Dykstra-Parsons coefficient of 0.8 estimate the decline exponent and initial decline rate. The reservoir is entirely in depletion flow and all layers are draining into the same vertical wellbore. From Fig. 9-10 the decline exponent is about 0.75 and the decline rate is 150%/year. 2. Viscous Crossflow Derivation. (20 points) For a two-layer reservoir in perfect communication both depleting into the same vertical wellcore, derive an expression for the crossflow rate in terms of the layer properties. The reservoir is entirely in depletion flow. The starting equation for this is For layer 1: V p1 c t1 d P 1 dt = -θ 1 + θ ΞΦ For layer 2: V p2 c t2 d P 2 dt = -θ 1- θ ΞΦ Adding and assuming perfect communication gives V p1 c t1 + ς π2 χ τ2 ( 29 δ Π δτ = - ϑ...
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- Fall '07