Modelling of counter current imbibition phenomenon in two-phase fluid flows through fractured heterogeneous porous media under the effect of magnetic field

Abstract

In this paper, the counter-current imbibition phenomenon is discussed in a fractured heterogeneous porous medium under the effect of magnetic field due to the presence of magnetic fluid particles in injected fluids as well as the effects of inclination, capillarity, relative permeability and the viscosity variation of native fluids on saturation rate and on the recovery rate are considered. The homotopy analysis method is used to derive an expression for finding the saturation profiles and to study the recovery rate of the reservoir with some interesting choices of parameters.