An Approximate Solution of Instability Phenomenon in Heterogeneous Porous Media with Mean Pressure

In important instability phenomenon arising in secondary oil recovery process, the flow of two immiscible fluids displacement in heterogeneous porous media with mean pressure effect has been discussed analytically. The phenomenon is formulated mathematically as a water-oil double phase flow problem. An approximate solution of non-linear partial differential equation of instability phenomenon has been obtained in term of ascending power series which represents saturation of injected water in instability phenomenon. The solution gives rise phase saturation distribution of injected water by using appropriate boundary condition and its graphical and numerical presentation given by using MATLAB.