The pulsed action on fluid-saturated nonlinearly deformed porous media is considered. A mathematical model of a nonlinear two-velocity medium was obtained on the basis of the method of conservation laws. The model is thermodynamically consistent and hyperbolic in the reversible approximation. The numerical model is based on Godunov's explicit scheme with the use of a parallel computational algorithm. Numerical modeling of non-equilibrium nonstationary processes in heterophase deformable media for various modes of the pulsed action was made for various values of thermodynamic and kinetic parameters. Dilatancy areas are correlated with a partial density distribution of the saturating fluid. The approach proposed can be used to simulate the operation of oil collectors and in geophysical prospecting.