[case] RelativePermeabilityUdell

A simple relative permeability function proposed by Kent S Udell [39].

Definition:

\[ k_{\text{rel}}^{\alpha} =\left(S^{\text{eff}}_{\alpha}\right)^{3}\]

where

• \(k_{\text{rel}}^{\alpha}\) is relative permeability of phase \(\alpha\)
• \(S^{\text{eff}}_{\alpha}\) is the effective saturation of phase \(\alpha\)

This class handles the wetting (liquid) phase portion of this relative permeability property, i,e with \(\alpha=L\) for the relative permeability function.

This property must be a medium property, it computes the permeability reduction due to saturation as function of capillary pressure.

Child parameters, attributes and cases

• [tag] min_relative_permeability
• [tag] residual_gas_saturation
• [tag] residual_liquid_saturation

Additional info

No additional info.

Used in the following test data files

Used in no end-to-end test cases.