Ionic transfer in charged porous media. Periodic homogenization and parametric study on 2D microstructures
Résumé
In this paper we propose a macroscopic model for ionic diffusion in saturated porous media, taking into account the electrical double layer phenomenon. This model is established by periodic homogenization technique of Nernst-Planck and Poisson-Boltzmann equations at Debye length. The electrical double layer potential appears explicitly in the homogenized ionic diffusion equation and in the homogenized diffusion tensor expression. A numerical parametric study is conducted on more or less complex periodic microstructure to highlight the influence of electrocapillary interactions on the homogenized diffusion tensor and ionic transfer.