[case] GasPressureDependentPermeability

A gas pressure dependent intrinsic permeability model.

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

The model takes the form of

$$\mathbf{k} = f(p_g)\, \mathbf{k}_0 = \left\{ \begin{array}{cc} (1+a_1 p_g) \mathbf{k}_0 & p_g \leq p_\text{thr} \\ (a_2 (p_g - p_\text{thr}) + 1 + a_1 p_\text{thr}) \mathbf{k}_0 & p_g > p_\text{thr} \end{array} \right.$$

where $\mathbf{k}$ is the permeability, $\mathbf{k}_0$ is the initial intrinsic permeability, $p_g$ is the gas pressure, $a_1$, $a_2$ and $p_\text{thr}$ are three parameters. The threshold pressure and gas pressure, $p_g$ , $p_\text{thr}$, are in Pascal, and the $a_1$ and $a_2$ are dimensionless, representing the values reported in [47], and permeabilities, $\mathbf{k}$ and $\mathbf{k}_0$ are in $m^2$.

Child parameters, attributes and cases

• [tag] a1
• [tag] a2
• [tag] initial_permeability
• [tag] maximum_permeability
• [tag] minimum_permeability
• [tag] pressure_threshold

Additional info

No additional info.

Used in the following test data files

Used in no end-to-end test cases.