LMA-IPRA, CNRS/UPPA, UMR 5142
Numerical simulation by homogenization of multiphase flow in heterogeneous porous media
The modeling of multiphase flow in porous formations is important for both the management of petroleum reservoirs and environmental remediation. Petroleum engineers need to model multiphase flow for production of hydrocarbons from petroleum reservoirs. Hydrologists and soil scientists are concerned with underground water flow in connection with applications to civil and agricultural engineering, and, of course, the design and evaluation of remediation technologies in water quality control rely on the properties of underground fluid flow. More recently, modeling multiphase flow received an increasing attention in connection with the disposal of radioactive waste and sequestration of CO2.
In this talk, we focus our attention on the modeling of immiscible compressible two-phase flow in heterogeneous porous media, in the framework of the geological disposal of radioactive waste. The processes modelled are two-phase (water and hydrogen) immiscible compressible two-component transient flow in a heterogeneous porous medium under isothermal conditions. The three-dimensional (3D) model represents a module of a repository for high-level waste in a clay host rock. We will present a mathematical upscaling method combined to a vertex-centred finite volume discretization and numerical results for 2D and 3D benchmarks.
