Abstract We present an analytical model to compute frequency-dependent relative permeability functions for partially saturated porous media accounting viscous coupling effects. For this, we consider the oscillatory motion of two immiscible fluid phases and solve Navier–Stokes equations at pore scale using suitable interface conditions between fluids. These calculations are combined with general...

Predicting the permeability of porous media in saturated and partially conditions is crucial importance many geo-engineering areas, from water resources to vadose zone hydrology or contaminant transport predictions. Many models have been proposed literature estimate properties such as porosity, grain size pore size. In this study, we develop a model for by one two fluid phases with all physical...