Skip to main content

Non-isothermal Compositional Two-Phase Darcy Flow: Formulation and Outflow Boundary Condition

  • Conference paper
  • First Online:
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems (FVCA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 200))

Included in the following conference series:

  • 1316 Accesses

Abstract

This article deals with the modelling and formulation of compositional gas liquid Darcy flow. Our model includes an advanced boundary condition at the interface between the porous medium and the atmosphere accounting for convective mass and energy transfer, liquid evaporation, and liquid outflow. The formulation is based on a fixed set of unknowns whatever the set of present phases. The thermodynamical equilibrium is expressed as complementary constraints. The model and its formulation are applied to the simulation of the Bouillante high energy geothermal field in Guadeloupe characterized by a high temperature closed to the surface.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  1. Ben Gharbia, I., Jaffré, J.: Gas phase appearance and disappearance as a problem with complementarity constraints. Math. Comput. Simul. (2013)

    Google Scholar 

  2. Brenner, K., Groza, M., Jeannin, L., Masson, R., Pellerin, J.: Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media (Working paper or preprint, 2016)

    Google Scholar 

  3. Droniou, J.: Finite volume schemes for diffusion equations: Introduction to and review of modern methods. Math. Models Methods Appl. Sci. 24(8), 1575–1619 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lauser, A., Hager, C., Helmig, R., Wohlmuth, B.: A new approach for phase transitions in miscible multi-phase flow in porous media. Adv. Water Resour. 34, 957–966 (2011)

    Article  Google Scholar 

  5. Masson, R., Trenty, L., Zhang, Y.: Formulations of two phase liquid gas compositional Darcy flows with phase transitions. Int. J. Finite Vol. 11, 34 (2014)

    MathSciNet  Google Scholar 

  6. O’Sullivan, M.J., Pruess, K., Lippmann, M.J.: Geothermal reservoir simulation: the state-of-practice and emerging trends. Geothermics 30(4), 395–429 (2001)

    Article  Google Scholar 

  7. Schmidt, E.: Properties of Water and Steam in S.I. Units. Springer-Verlag (1969)

    Google Scholar 

Download references

Acknowledgements

We would like to thank the BRGM and the Provence-Alpes-Côte d’Azur Region for the co-funding of the PhD of Laurence Beaude as well as the support of the CHARMS ANR project (ANR-16-CE06-0009).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. Beaude .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Beaude, L., Brenner, K., Lopez, S., Masson, R., Smai, F. (2017). Non-isothermal Compositional Two-Phase Darcy Flow: Formulation and Outflow Boundary Condition. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_34

Download citation

Publish with us

Policies and ethics