Calculation of Permeability for Granular Porous Media - 17030

The flow of a viscous fluid is considered to calculate the permeability of a porous medium with granular solid phase. Under the assumption of periodicity a unit cell which contains solid phase of granular shape is selected on the microscale and the flow field is calculated by solving Stokes problem in which inertial effects are ignored. A Boundary-Vale Problem is obtained by applying the theory of homogenization to slow viscous flow through porous structure on the microscale. It is shown that the permeability is dominantly determined by the flow direction along which the pressure gradient on the macro-scale is imposed. (authors)