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.
References
Ben Gharbia, I., Jaffré, J.: Gas phase appearance and disappearance as a problem with complementarity constraints. Math. Comput. Simul. (2013)
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)
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)
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)
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)
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)
Schmidt, E.: Properties of Water and Steam in S.I. Units. Springer-Verlag (1969)
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).
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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
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DOI: https://doi.org/10.1007/978-3-319-57394-6_34
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