A NUMERICAL SCHEME FOR THE PORE-SCALE SIMULATIONOF CRYSTAL DISSOLUTION AND PRECIPITATIONIN POROUS MEDIA

摘要

In this paper we analyze a numerical scheme for a dissolution and precipitationmodel in porous media. We focus here on the chemistry, which is modeled by a parabolic problemthat is coupled through the boundary conditions to an ordinary differential inclusion defined on theboundary. We use a regularization approach for constructing a semi-implicit scheme that is stableand convergent. For dealing with the emerging time discrete nonlinear problems, we propose a simplefixed-point iterative procedure. The paper is concluded by numerical results.