## Projects

**Simulation of two-phase Darcy flows in fractured porous media with discrete fracture matrix models (DFM) ** in collaboration with Konstantin Brenner, Mayya Groza, Julian Hennicker, Joubine Aghili, El Houssaine Quenjel

- The objective of this project is to investigate the modelization and discretization of
two-phase flow in fractured porous media coupling the Darcy flow in the fracture network
represented as 2D surfaces with the Darcy flow in the surrounding 3D matrix. It leads to the so called hybrid
dimensional Darcy flow models.
- Two PhD students, Mayya Groza and Julian Hennicker
have worked on this project in collaboration with Laurent Jeannin
and Jean Frédéric Thebault from GDFSuez EP and Storengy
(funding the PhD of Mayya Groza) and with Pierre Samier from TOTAL (funding the PhD of Julian Hennicker).
The PhD of Maya Groza has focused on models with continuous pressure at the matrix fracture interface assuming that the fractures are
acting as drains. The PhD of Julian Hennicker has investigated the case of discontinuous pressure models at the matrix fracture interface which
can account for fractures acting both as drains or barriers. The models that we investigate take into account gravity effects as well
as the saturation jumps induced by the discontinuous capillary pressure curves at the matrix fracture interfaces.
- During the postdoctoral fellowship of Joubine Aghili in collaboration with Laurent Trenty from Andra, we have investigate gas liquid discrete fracture matrix models with highly contrasted permeability and capillary pressures. A local nonlinear interface solver has been developed to obtain a robust nonlinear convergence. We also extended the hybrid dimensional model to take into account phase transitions and fickian diffusion.
- With El Houssaine Quenjel founded by the ANR CHARMS project, we investigated total velocity formulations combined with nodal approximations to make possible large DFM 3D simulation on tetrahedral meshes. We also proved the convergence of the Two Point Flux Approximation scheme for heterogeneous models with discontinuous capillary pressures and using a natural variable formulation, avoiding the cumbersome use of the global pressure.

- 3D two-phase flow with a continuous phase pressures Discrete Fracture-Matrix model with 1000 randomly generated fractures (discrete fracture network and mesh generated by Geraldine Pichot and Patrick Laug from Inria Serena and Gamma3 teams)

- 2D two phase flow with a discontinuous phase pressures Discrete Fracture-Matrix model

Updated 06-02-2022