A strain dependent intrinsic permeability model.

The model was proposed in [46] and it was further investigated in [47] .

The model takes the form of

$\mathbf{k} =f(\epsilon_v) e^{b_1 {\bar\epsilon}^p}\mathbf{k}_0$

with

$f(\epsilon_v)= \begin{cases} 10^{b_2 \epsilon_v}, & \epsilon_v <=0\\ 10^{b_3 \epsilon_v}, & \epsilon_v >0 \end{cases}$

where

$\epsilon_v$	the volumetric strain,
${\bar\epsilon}^p$	the equivalent plastic strain,
$\mathbf{k}_0$	the initial intrinsic permeability,
$b_1,\,b_2,\,b_3$	the three parameters.

Note: In [46] and [47] , from the point of view of experiment of permeability change, the symbols of $\Delta \epsilon_v$ and $\Delta {\bar\epsilon}^p$ are used for $\epsilon_v$ and ${\bar\epsilon}^p$ , respectively. That means that the symbols of $\Delta \epsilon_v$ and $\Delta {\bar\epsilon}^p$ refer to the increment of the volumetric strain and the increment of the equivalent plastic strain, respectively, from the beginning of the experiment.

Child parameters, attributes and cases

Additional info