  We propose a new phenomenological approach for describing the dynamics of
wetting front propagation in porous media. Unlike traditional models, the
proposed approach is based on dynamic nature of the relation between capillary
pressure and medium saturation. We choose a modified phase-field model of
solidification as a particular case of such dynamic relation. We show that in
the traveling wave regime the results obtained from our approach reproduce
those derived from the standard model of flow in porous media. In more general
case, the proposed approach reveals the dependence of front dynamics upon the
flow regime.
