Three-scale asymptotic expansion for flow in two-scale porous media
Tomohiro SAWADA, Junpei TETSUKA, Tetsuya MATSUDA, Junichi MATSUMOTO · Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu · 2019
This paper presents an asymptotic homogenization method for flow in porous media with two-scale porosity that allows us to predict Darcy’s permeability tensor of the hierarchical micro-structure. The Darcy’s tensor is given by homogenizing the Stokes equation expanded to three characteristic scales that capture the macro- and two-scale micro-structures of the porous media, respectively.