Non-isothermal compositional liquid gas Darcy flow: formulation, soil-atmosphere boundary condition and application to high energy geothermal simulations

Laurence Beaude (1, 2) , Konstantin Brenner (2, 1) , Simon Lopez (3) , Roland Masson (2, 1) , Farid F. Smaï (3)

1 COFFEE - COmplex Flows For Energy and Environment
2 LJAD - Laboratoire Jean Alexandre Dieudonné
3 BRGM - Bureau de Recherches Géologiques et Minières (BRGM)

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 thermody-namic 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 close to the surface.

Mots clés: finite volume scheme; porous medium drying; outflow boundary condition; geothermal energy; soil-atmosphere boundary condition; Non-isothermal compositional Darcy flow

Domaines: Mathématiques [math]; Analyse numérique [math.NA]

Laurence Beaude, Konstantin Brenner, Simon Lopez, Roland Masson, Farid F. Smaï. Non-isothermal compositional liquid gas Darcy flow: formulation, soil-atmosphere boundary condition and application to high energy geothermal simulations. Computational Geosciences, 2019, ⟨10.1007/s10596-018-9794-9⟩. ⟨hal-01702391v2⟩