Viscosity-Splitting scheme for concentration equation of miscible displacement with solute absorption in porous media

A lot of chemical reagents have been used to improve recovery ratio in petroleum exploitation, this process refers to solute absorption problem. On the condition of incompressible fluid, its mathematical scheme can be put in the form which is coupling nonlinear partial difference equations about pressure, concentration, and solute concentration absorbing on the media surface. This paper introduces the miscible displacement problem first and then gives one operator-splitting method: Viscosity-Splitting method and its error analysis.