Asymptotic research of nonlinear wave processes in saturated porous media (Q1362198)

The study is concerned with wave propagation and interaction in a thermoviscoelastically deformable porous medium saturated with a mixture of a viscous fluid and its vapour. The investigation takes into account nonlinear effects, and dispersive and dissipative characters of the medium, fluid and gas. The model is governed by the conservation laws for mass, momentum and energy, together with relevant rheological and thermodynamic relations. The partial differential equations are highly nonlinear and coupled with one another. The situation becomes more complicated due to the existence of a viscous liquid film which is bounded to the solid skeleton. The gas is taken to be a perfect gas, so that the complication introduced by it is minimized to some extent. Many portions of this work are therefore treated by quoting differential equations and relations established in earlier studies. The method of solution in the well-known asymptotic method; however, the application of this method to such a highly complicated systems is a novelty of this study. Moreover, the interpretations of theoretical results in terms of wave properties is surely a tremendous work; the latter have been explained nicely by using graphs.