Analytical solutions of polymer transport in porous media under magnetic effect

Abstract

The analytical solution is helpful for understanding the mechanism and physical impacts and validating a numerical method through the model issue. This paper is devoted to developing analytical solutions for the problem of magnetic polymer transport in porous media. The mathematical model has been firstly developed then the analytical solutions have been obtained. The magnetization is treated as a nonlinear function of the magnetic field strength. The effects of the parameters of magnetic/polymer/rock on the polymer concentration, pressure and velocity have been investigated. It was found that the magnetization enhances velocity and concentration; and has a significant effect on concentration for high permeabilities. Also, it was found that for high permeabilities the advection dominates, but for lower permeabilities the diffusion dominates. As the adsorption rate increases the polymer solution concentration decreases.

Editorial: Advanced modeling and simulation of flow in subsurface reservoirs with fractures and wells for a sustainable industry

“…The changing of saturation, velocity, stress, and temperature field in fractured porous media is directly relevant to reservoir recovery and production. In this special issue, El-Amin [6] developed analytical solutions for magnetic polymer transport in porous media, in which the magnetization was treated as a nonlinear function of the magnetic field strength and the effects of the magnetic/polymer/rock properties on the polymer concentration, pressure, and velocity were investigated. Gao et al [7] proposed a new thermodynamically consistent energy-based model for two-phase flows in heterogeneous and fractured media, which was free of the gradient energy.…”