Multi-scale Periodic Homogenization of Ionic Transfer in Cementitious Materials
In this communication, we perform a multi-scale periodic homogenization of Nernst-Planck and Poisson-Boltzmann equations describing the ionic transfer in saturated cementitious materials. Two models of ionic transfer are established successively. The first one by periodic homogenization from the Debye length scale to the capillary porosity scale, taking into account the electrical double layer phenomenon. The second model is obtained by upscaling the same ionic transfer equations from the capillary porosity scale to the material’s scale. Numerical simulations on porous media with more or less complex periodic microstructures are then carried out. Comparisons with existing experimental data are also presented and discussed.