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HW-05-09-Keyp3

# HW-05-09-Keyp3 - PETE 311 Spring-2009 Homework#5 Problem 3...

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PETE 311 Spring-2009 Homework #5 Problem 3. Oil (5 cp) is being produced from a 50-md permeability reservoir at rate of 40,000 bbl/day. The pressure at the well, P w , is measured to be 2000 psia. Given that the reservoir radius, r e , is 2000 ft, the wellbore radius, r w , is 0.5 ft, and the reservoir thickness, h, is 30 ft. Find the pressure at the boundary of the drainage area, P e . Start from Darcy’s law for radial geometry And integrate from a poit r to the well, to the expression for pressure as a function of r as shown below Note the constant appears due to conversion of units and the (2Pi), as we saw before for linear case): 1. Use the differential form of Darcy’s equation to derive the flow equation for spherical flow of incompressible liquid in a hemispherical shaped reservoir, with a well that

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HW-05-09-Keyp3 - PETE 311 Spring-2009 Homework#5 Problem 3...

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