Numerical Verification of the Cross-Property Connections Between Electrical Conductivity and Fluid Permeability of a Porous Material

摘要

In this paper we provide numerical verification on the cross-property connection between effective fluid permeability and effective electrical conductivity. A set of 10 different microstructural patterns has been generated using a molecular dynamics algorithm. The problems are solved numerically using homogenous boundary conditions. The volumetric average over a cubic volume is used to obtain with the effective electrical conductivity and the effective fluid permeability. The tortuosity of the porous phase τ p was estimated by assuming a non-conductive solid phase, the inverse problem was solved to get the tortuosity of the matrix τ s . The accuracy of the cross-property connection developed by Sevostianov and Shrestha (2010) is verified, an error of less than 1% is found.