Analytic Analysis for Oil Recovery During Cocurrent Imbibition in Inclined Homogeneous Porous Medium

This paper focuses on the analysis of cocurrent imbibition phenomenon which occurs during secondary oil recovery process.In cocurrent imbibition, a strongly wetting phase(water) displaces a non-wetting phase(oil) spontaneously under the influence of capillary forces such that the oil moves in the same direction to the water. We use an optimal homotopy analysis method to derive an approximate analytical expression for saturation of water when the viscosity of the non-wetting phase is non-negligible