simulation of imbibition phenomena in fluid flow through fractured heterogeneous porous media with different porous materials

In this paper, the counter – current imbibition phenomenon in a fractured heterogeneous porous media is studied with the consideration of different types of porous materials like volcanic sand and fine sand and adomian decomposition method is applied to find the saturation of wetting phase and the recovery rate of the reservoir. a simulation result is developed to study the saturation of wetting phase in volcanic as well as in fine sand with the recovery rate of the oil reservoir with the choices of some interesting parametric value. this problem has a great importance in the oil recovery process.