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Finite volume approximation of a diffusion–dissolution model and application to nuclear waste storage

Author

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  • Angelini, O.
  • Chavant, C.
  • Chénier, E.
  • Eymard, R.
  • Granet, S.

Abstract

The study of two phase flow in porous media under high capillary pressures, in the case where one phase is incompressible and the other phase is gaseous, shows complex phenomena. We present in this paper a numerical approximation method, based on a two pressures formulation in the case where both phases are miscible, which is shown to also handle the limit case of immiscible phases. The space discretization is performed using a finite volume method, which can handle general grids. The efficiency of the formulation is shown on three numerical examples related to underground waste disposal situations.

Suggested Citation

  • Angelini, O. & Chavant, C. & Chénier, E. & Eymard, R. & Granet, S., 2011. "Finite volume approximation of a diffusion–dissolution model and application to nuclear waste storage," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2001-2017.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:10:p:2001-2017
    DOI: 10.1016/j.matcom.2010.12.016
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    Cited by:

    1. Dia, Ben Mansour & Saad, Bilal & Saad, Mazen, 2021. "Modeling and simulation of partially miscible two-phase flow with kinetics mass transfer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 186(C), pages 29-40.

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