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Coupling of a Two Phase Gas Liquid Compositional 3D Darcy Flow with a 1D Compositional Free Gas Flow

  • Konstantin Brenner
  • Roland Masson
  • Laurent Trenty
  • Yumeng Zhang
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)

Abstract

A model coupling a three dimensional gas liquid compositional Darcy flow and a one dimensional compositional free gas flow is presented. The coupling conditions at the interface between the gallery and the porous media account for the molar normal fluxes continuity for each component, the gas liquid thermodynamical equilibrium, the gas pressure continuity and the gas and liquid molar fractions continuity. This model is applied to the simulation of the mass exchanges at the interface between the repository and the ventilation excavated gallery in a nuclear waste geological repository. The convergence of the Vertex Approximate Gradient discretization is analysed for a simplified model coupling the Richards approximation in the porous media and the gas pressure equation in the gallery.

Keywords

Porous Medium Capillary Pressure Relative Permeability Homogeneous Dirichlet Boundary Condition Molar Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The authors would like to thank Andra for its financial support.

References

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    Eymard, R., Guichard, C., Herbin, R., Masson, R.: Gradient schemes for two-phase flow in heterogeneous porous media and richards equation. ZAMM J. Appl. Math. Mech. (2013). doi: 10.1002/zamm.201200206
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    Masson, R., Trenty, L., Zhang, Y.: Formulations of two-phase liquid gas compositional darcy flows with phase transitions (2013). http://hal.archives-ouvertes.fr/hal-00910366
  4. 4.
    Mosthaf, K., Baber, K., Flemisch, B., Helmig, R., Leijnse, A., Rybak, I., Wohlmuth, B.: A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow. Water Resour. Res. 47(10), 16 (2011)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Konstantin Brenner
    • 1
  • Roland Masson
    • 1
  • Laurent Trenty
    • 2
  • Yumeng Zhang
    • 1
  1. 1.Laboratoire de Mathématiques J.A. Dieudonné UMR CNRS 7251 and Team CoffeeUniversité Nice Sophia Antipolis, CNRS and INRIA Sophia Antipolis MéditerranéeNiceFrance
  2. 2.AndraChatenay-MalabryFrance

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