Prev Subsection 5.9.1: Constant Isotropic Permeability Up Section 5.9: Hydraulic Permeability Subsection 5.9.3: Holmes-Mow Next
5.9.2 Exponential Isotropic Permeability
This isotropic material has a permeability that varies as a function of the determinant of the deformation gradient. Its general form is where, Pore closure occurs as approaches from above, in which case the permeability reduces to zero, In the special case when , the permeability becomes constant. In the limit of infinitesimal strains, the permeability has the form
For the type of isotropic permeability given in (5.9.2-1), the spatial permeability tangent with respect to the solid matrix strain has the general form where in this case.