Analytical Solution of a Steady and Transient Single Phase Flow Equation in a Petroleum Reservoir

Industrial revolution had steadily mounted pressure on the demand for oil and its subproducts, which had necesitated the study and understanding ofoilfields and oil exploration processes. In order to increase production, information obtained from fluid filtration process as well as pressure drop profile using appropriate mathematical model is essential.This article investigatedthe presure distribution when a single phase fluid flow through a horizontal homogeneous porous medium. The scenario was represented by a partial dfferental equation which we solved analytically, using seperation of variables techniques. We first obtained the steady state solution and there after, the transient solution. Our result, from the general solution obtained revealed that as time becomes very large, the transient solution reduces to the steady state solution.