A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media

V.M. Devigne, I.S. Pop, C.J. Duijn, van, T. Clopeau

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Abstract

In this paper we analyze a numerical scheme for a dissolution and precipitation model in porous media. We focus here on the chemistry, which is modeled by a parabolic problem that is coupled through the boundary conditions to an ordinary differential inclusion defined on the boundary. We use a regularization approach for constructing a semi-implicit scheme that is stable and convergent. For dealing with the emerging time discrete nonlinear problems, we propose a simple fixed-point iterative procedure. The paper is concluded by numerical results.
Original languageEnglish
Pages (from-to)895-919
JournalSIAM Journal on Numerical Analysis
Volume46
Issue number2
DOIs
Publication statusPublished - 2008

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