diff --git a/Documentation/bibliography/other.bib b/Documentation/bibliography/other.bib index 1d855d9ae13408f589224cdcd2fcd33115d80b10..93600dc78789790ddc49b2b193927532de21f027 100644 --- a/Documentation/bibliography/other.bib +++ b/Documentation/bibliography/other.bib @@ -209,3 +209,14 @@ URL = {https://doi.org/10.1680/geot.2008.58.3.157} year={1985}, publisher={Elsevier} } + +@article{lenhard1987model, + title={A model for hysteretic constitutive relations governing multiphase flow: 2. Permeability-saturation relations}, + author={Lenhard, RJ and Parker, JC}, + journal={Water Resources Research}, + volume={23}, + number={12}, + pages={2197--2206}, + year={1987}, + publisher={Wiley Online Library} +} diff --git a/MaterialLib/MPL/Properties/RelativePermeability/RelPermNonWettingPhaseVanGenuchtenMualem.h b/MaterialLib/MPL/Properties/RelativePermeability/RelPermNonWettingPhaseVanGenuchtenMualem.h index 2e1014b1e3ecaa03221b33a51bd0e5bb3210a54a..8c35d7fa4b3ad4b305a055a75cd7fcca01f5fb8b 100644 --- a/MaterialLib/MPL/Properties/RelativePermeability/RelPermNonWettingPhaseVanGenuchtenMualem.h +++ b/MaterialLib/MPL/Properties/RelativePermeability/RelPermNonWettingPhaseVanGenuchtenMualem.h @@ -20,6 +20,20 @@ namespace MaterialPropertyLib { class Medium; +/** + * van Genuchten-Mualem relative permeability function for non-wetting phase + * in terms of effective wetting-phase saturation \cite lenhard1987model : + * + * \f[k_{rel}^n= (1 - S_e)^{1/2} (1 - S_e^{1/m})^{2m}\f] + * with + * \f[S_e=\frac{S^L-S^L_r}{S^L_{\mbox{max}}-S^L_r}\f] + * where + * \f{eqnarray*}{ + * &S^L_r& \mbox{residual saturation of wetting phase,}\\ + * &S^L_{\mbox{max}}& \mbox{maximum saturation of wetting phase,}\\ + * &m\, \in (0, 1) & \mbox{ exponent.}\\ + * \f} + */ class RelPermNonWettingPhaseVanGenuchtenMualem final : public Property { public: