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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • I.S. Pop

    (CASA, Technische Universiteit Eindhoven)

  • V.M. Devigne

    (ENS des Mines, Centre SITE
    Université Claude Bernard Lyon I, Institut Camille Jordan)

  • C.J. van Duijn

    (CASA, Technische Universiteit Eindhoven)

  • T. Clopeau

    (Université Claude Bernard Lyon I, Institut Camille Jordan)

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.

Suggested Citation

  • I.S. Pop & V.M. Devigne & C.J. van Duijn & T. Clopeau, 2006. "A Numerical Scheme for the Micro Scale Dissolution and Precipitation in Porous Media," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 362-370, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_30
    DOI: 10.1007/978-3-540-34288-5_30
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