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 Subsubsection 4.8.2.1: Constant Isotropic Permeability Up Subsection 4.8.2: Permeability Materials Subsubsection 4.8.2.3: Holmes-Mow 

4.8.2.2 Exponential Isotropic Permeability

The material type for exponential isotropic permeability is “perm-exp-iso”. The following material parameters must be defined:
<perm> isotropic hydraulic permeability in the reference state [L /F t]
<M> exponential strain-dependence coefficient ( ) [ ]
This isotropic material model has the general form where is the determinant of the deformation gradient. For this material model, where is the referential solid volume fraction of the porous solid matrix. Pore closure occurs as approaches from above, in which case the permeability reduces to zero,
figure ../Figures/FigPermExpIso.png
Figure 4.1 Exponential isotropic permeability, showing dependence of on material parameter , when and .
Representative variations of are shown in Figure 4.1↑.
Example:
<permeability name="Permeability" type="perm-exp-iso">
  <perm>0.001</perm>
  <M>1.5</M>
</permeability>


 Subsubsection 4.8.2.1: Constant Isotropic Permeability Up Subsection 4.8.2: Permeability Materials Subsubsection 4.8.2.3: Holmes-Mow