Numerical Simulation of Two Phase Oil-Water Flow Model Using the IMPES Method

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OCTOBER, 2016
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Abstract
The two phase ow model for simulating oil/water ow in petroleum reservoir simulation at the secondary recovery stage is reviewed. The formulation of two phase ow equations using the governing equations; conservation of mass, conservation of momentum, saturation and capillary pressure relations are considered and results in a coupled system of equations. The Implicit Pressure Explicit Saturation (IMPES) solution approach is employed as a numerical technique. Incompressible and slightly compressible reservoir conditions are investigated and compared numerically. The results indicate that slightly compressible conditions are more realistic and the relative errors between the fluids being incompressible and slightly compressible are linear in time.
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A thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the Degree of Master of Philosophy in Applied Mathematics,
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