Abstract
Abstract In this paper, the counter-current Imbibition phenomenon is considered in a fractured heterogeneous porous medium with the consideration of different porous materials like fine sand, volcanic sand and glass beads and magnetic field effect. The Homotopy analysis method is used here to derive an expression for finding the saturation profiles in a fractured heterogeneous porous medium with and without considering the magnetic field effect. Simulation results are developed for the saturation profiles to study the effect of inclination and the viscosity variation of native fluids on the saturation rate and the recovery rate of the reservoir with some interesting choices of parameters.
Highlights
Imbibition phenomenon is a process in which some uid lled in porous medium comes in to contact with other uid by which the solid is being preferentially wetted, as a result the wetting uid will ow spontaneously through the solid walls of the pores into the medium and on the other side the residual uid will be expelled
In this paper, the counter-current Imbibition phenomenon is considered in a fractured heterogeneous porous medium with the consideration of di erent porous materials like ne sand, volcanic sand and glass beads and magnetic eld e ect
Standnes [22] experimentally studied the e ect of boundary conditions on oil recovery in presence of co- and counter-current spontaneous imbibition.Tavassoli and Zimmerman [23] studied this phenomena in a strongly water-wet system and derived an expression for the saturation pro les through an approximate analytical approach withthe consideration of viscosity of the native uid.Behbani et al.[5] derived an expression for the saturation pro le in counter-current imbibition phenomena which shows that the behavior of twodimensional displacement can be predicted by using a one-dimensional model.While Ruth et al [20] analyzed the same phenomena in a semi-in nite porous medium with the consideration of capillary pressure and relative permeability as a unique function of saturation which is independent of the nature of displacement and time
Summary
Imbibition phenomenon is a process in which some uid lled in porous medium comes in to contact with other uid by which the solid is being preferentially wetted, as a result the wetting uid will ow spontaneously through the solid walls of the pores into the medium and on the other side the residual uid will be expelled. Standnes [22] experimentally studied the e ect of boundary conditions on oil recovery in presence of co- and counter-current spontaneous imbibition.Tavassoli and Zimmerman [23] studied this phenomena in a strongly water-wet system and derived an expression for the saturation pro les through an approximate analytical approach withthe consideration of viscosity of the native uid.Behbani et al.[5] derived an expression for the saturation pro le in counter-current imbibition phenomena which shows that the behavior of twodimensional displacement can be predicted by using a one-dimensional model.While Ruth et al [20] analyzed the same phenomena in a semi-in nite porous medium with the consideration of capillary pressure and relative permeability as a unique function of saturation which is independent of the nature of displacement and time. Meher and Mehta [12] considered capillary pressure and studied this phenomena in a homogenous porous media analytically through an exponential self-similar solutions tech-
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