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Numerical Simulation of Two-Phase Flow through Heterogeneous Porous Media

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Abstract

A mixed finite element method is combined to finite volume schemes on structured and unstructured grids for the approximation of the solution of incompressible flow in heterogeneous porous media. A series of numerical examples demonstrates the effectiveness of the methodology for a coupled system which includes an elliptic equation and a nonlinear degenerate diffusion–convection equation arising in modeling of flow and transport in porous media.

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Authors and Affiliations

  1. Université Cadi Ayyad, F.S.S.M., BP 2390, Marrakech, Maroc

    M. Afif

  2. Université de Pau, LMA–CNRS, FRE2570, Av. de l'Université, 64000, Pau, France

    B. Amaziane

Authors
  1. M. Afif
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  2. B. Amaziane
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Afif, M., Amaziane, B. Numerical Simulation of Two-Phase Flow through Heterogeneous Porous Media. Numerical Algorithms 34, 117–125 (2003). https://doi.org/10.1023/B:NUMA.0000005357.26583.3e

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  • DOI: https://doi.org/10.1023/B:NUMA.0000005357.26583.3e

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