PGE323_final_exam(2006) - PGE 323 Final Exam Open book and...

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PGE 323 Final Exam Open book and notes May 11, 2006 Pope 1. (a) Write Darcy's law for three-phase, three dimensional flow assuming a diagonal permeability tensor but make no other assumptions. (b) Does this general form of Darcy's law apply even if the fluid compositions change? Is it valid if the temperature is not constant? Is it valid for unsteady state flow? Is it valid for compressible flow? (c) The coefficients in Darcy's law must be measured just as coefficients in other similar equations such as Fourier's law must be measured. In particular, the relative permeability of each phase must be measured. Explain the steady state method for measuring three- phase flow relative permeability in reservoir cores. Use both sketches and equations to explain your answer. List all assumptions and simplifications used in this method. 2. (a) Derive a mass balance for two-phase flow of oil and water in a permeable medium using cylindrical coordinates. Assume an isotropic medium. Do not assume constant fluid
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PGE323_final_exam(2006) - PGE 323 Final Exam Open book and...

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