Abstract In the applied mathematics literature solitary gravity–capillary water waves are modelled by approximating standard governing equations for a Korteweg-de Vries equation (for strong surface tension) or nonlinear Schrödinger weak tension). These formal arguments have been justified sophisticated techniques such as spatial dynamics and centre-manifold reduction methods on one hand variati...

It is known that the three important parameters: resistivity, capillary pressure, and relative permeability, are all a function of fluid saturation in a porous medium. This implies that there may be a correlation among the three parameters. There have been many papers on the approach to inferring relative permeability from capillary pressure data. However the literature on the interrelationship...