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A finite element approach for multiphase fluid flow in porous media

Author

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  • Mroginski, Javier L.
  • Di Rado, H.Ariel
  • Beneyto, Pablo A.
  • Awruch, Armando M.

Abstract

The main scope of this work is to carry out a mathematical framework and its corresponding finite element (FE) discretization for the partially saturated soil consolidation modelling in presence of an immiscible pollutant. A multiphase system with the interstitial voids in the grain matrix filled with water (liquid phase), water vapour and dry air (gas phase) and with pollutant substances, is assumed. The mathematical model addressed in this work was developed in the framework of mixture theory considering the pollutant saturation–suction coupling effects. The ensuing mathematical model involves equations of momentum balance, energy balance and mass balance of the whole multiphase system. Encouraging outcomes were achieved in several different examples.

Suggested Citation

  • Mroginski, Javier L. & Di Rado, H.Ariel & Beneyto, Pablo A. & Awruch, Armando M., 2010. "A finite element approach for multiphase fluid flow in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 76-91.
    • Handle: RePEc:eee:matcom:v:81:y:2010:i:1:p:76-91
    DOI: 10.1016/j.matcom.2010.07.001
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    References listed on IDEAS

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    1. Abreu, E. & Douglas, J. & Furtado, F. & Marchesin, D. & Pereira, F., 2006. "Three-phase immiscible displacement in heterogeneous petroleum reservoirs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(1), pages 2-20.
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    Cited by:

    1. Grunwald, Norbert & Maßmann, Jobst & Kolditz, Olaf & Nagel, Thomas, 2020. "Non-iterative phase-equilibrium model of the H2O-CO2-NaCl-system for large-scale numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 46-61.

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