# HW1Key - PGE 331 Homework 1 Key 1 Darcy's Law Calculations...

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PGE 331 Homework 1 Key 1. Darcy's Law Calculations. This problem deals with the one-dimensional flow of a fluid in a linear reservoir. There are two wells on opposite ends of the reservoir that are a distance L apart. The reservoir has thickness h and cross-sectional width W. It is horizontal at a sub-surface depth of 8000 ft. a. (1.5 points) Sketch this reservoir and the flow within it. This is a very simple sketch as per below. W h L Injector Producer Flow b. (2 points) One of the wells is an injector whose bottom hole pressure is constant at 10% below a typical fracturing pressure. Estimate the bottom hole pressure of the injector. The bottom hole pressure is given by surf frac frac P D F p + = which yields, putting in the values given in the lecture notes, () psia psia ft ft psi p frac 5615 7 . 14 8000 7 . 0 = + = psia P P frac inj 5053 9 . 0 = × = One could also use the equation on p. 13. For the latter, the equation becomes: + = D p D p p f 2 1 3 which on solution gives psia ft ft psi

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HW1Key - PGE 331 Homework 1 Key 1 Darcy's Law Calculations...

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