NONLINEAR WAVES IN SATURATED POROUS MEDIUM

The present paper deals with the investigation of one-dimensional problem of the propagation of nonlinear waves in saturated porous medium with complex rheology. Nonlinear evolution equation describing the processes of propagation of nonlinear waves in two-phase continuums is obtained. As a first approximation, a dispersion equation for the speed of stationary running linear waves is obtained and in the second approximation ? nonlinear evolution equation, a measure of the effect of non-linearity which is highly dependent on the speed of the wave dispersion, dissipation of energy, the rheology of solid particular and interfacial interaction forces. The effect of various parameters on the wave characteristics is studied.