Numerical Simulation of Two Phase Oil-Water Flow Model Using the IMPES Method
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Date
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.
Description
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,