A Numerical Scheme for the Micro Scale Dissolution and Precipitation in Porous Media

I.S. Pop (), V.M. Devigne (), C.J. van Duijn () and T. Clopeau
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I.S. Pop: CASA, Technische Universiteit Eindhoven
V.M. Devigne: ENS des Mines, Centre SITE
C.J. van Duijn: CASA, Technische Universiteit Eindhoven
T. Clopeau: Université Claude Bernard Lyon I, Institut Camille Jordan

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 362-370 from Springer

Abstract: Abstract In this paper we discuss numerical method for a pore scale model for precipitation and dissolution 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. A semi-implicit time stepping is combined with a regularization approach to construct a stable and convergent numerical scheme. For dealing with the emerging time discrete nonlinear problems we propose here a simple fixed point iterative procedure.

Keywords: Porous Medium; Cation Concentration; Nonlinear Elliptic Problem; Porous Skeleton; Pore Scale Model (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_30

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DOI: 10.1007/978-3-540-34288-5_30

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