MicroScopic and MacroScopic Modeling of Non-Isothermal Flow through Porous Media

Macroscopic modeling of fluid flow and thermal diffusion, in a porous medium, requires the description of equivalent properties (permeability, conductivity and diffusivity). However, depending on the microstructure topology of the porous medium and the fluid flow regime at the microscopic scale, great disparities in equivalent properties values can be obtained. The aim of this work is to describe, at the microscopic scale, thermal diffusion and fluid flow for different regimes and quantify how microstructural properties influence macroscopic effective response. After importing the microstructure on a representative volume element (RVE), 2D and 3D strategies are compared. Results are then discussed with literature data and equivalent phenomenological model comparison to validate the numerical approach.