In this research, we present analytical solution of two phase incompressible flow through a homogeneous porous medium. Water was injected at one end of the porous medium to stimulate oil recovery at the other end. From the modelled equations, we are able to determine pressure variation at different depth profiles. The results revealed increase in pressure as depth increases. This is in line with what is obtainable in practical scenarios.
Bandi et al. [Phys. Rev. E 79, 016309 (2009)] reported a closed form expression for the probability density function of the product of two correlated normal random variables and proposed an approximation for the distribution of its mean. Here, we question the closed form expression and derive exact expressions for the distribution of the mean. The proposed approximation is shown to be poor.
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