Extended Permeability model based on Olivella&Alonso.

This property must be a medium property, it computes the permeability in dependence of the strain

The base model was proposed in [2] and it was further investigated in [31] . This extended Version features three orthotropic fracture planes.

The model takes the form of

$\mathbf{k} = k_\text{m} \mathbf{I} + \sum \limits_{i=1}^3 \frac{b_i}{a_i} \left( \frac{b_i^2}{12} - k_\text{m} \right) \left( \mathbf{I} - \mathbf{M}_i \right)$

with

$\mathbf{M}_i = \vec{n}_i \otimes \vec{n}_i$

and

$b_i = b_{i0} + \Delta b_i \\ \Delta b_i = a_i \langle \mathbf{\epsilon} : \mathbf{M}_i - \varepsilon_{0i} \rangle$

where

$k_\text{m}$	permeability of undisturbed material
$b_i$	fracture aperture of each fracture plane
$b_{i0}$	initial aperture of each fracture plane
$a_i$	mean fracture distance of each fracture plane
$\vec{n}_i$	fracture normal vector of each fracture plane
$\varepsilon_{i0}$	threshold strain of each fracture plane

Child parameters, attributes and cases

Additional info

Used in the following test data files