Nonlinear waves on fluid-fluid interface in porous media as the model of gas-oil fields

The new mathematical model is proposed to describe the gravity-elasastic deformations of the interface between two fluids in weakly deformable porous media. Instead of a cumbersome system of flow equations linked by the kinetica and dynamica conditions at the interface, the new model represents a system of PDE written explicitly with respect to the vertical coordinate of the interface and the interface pressure.