Note on a Novel Model for Capillary Pressure in Porous Media

Abstract

Recently a new empirical model for the capillary pressure in porous media has been proposed (see Foroughi et al. in Transp Porous Media 145:683–696, 2022). In the present Note some of the mathematical features of this model are discussed in more detail. The focus is the lowest slope $\left| {{\text{d}}\,\overline{P}_{{\text{c}}} /{\text{d}}\,S_{{\text{e}}} } \right|_{{{\text{min}}}}$ of the pressure–saturation curves $\overline{P}_{{\text{c}}} = \overline{P}_{{\text{c}}} \left( {S_{{\text{e}}} } \right)$. In this respect an absolute minimum, as well as dual saturation-exponents have been detected.