Normal frequencies of modulated waves in porous media (Q1360781)

The study is concerned with the wave propagation in a porous medium saturated with a viscous fluid which in partially bound by the solid phase. The solid skeleton in deformable, and the system in subjected to the temperature variations. Hence, the authors must take into account the complicated nonlinear interacting phenomena of slow motion of solid and fluid phases, their velocities, deformations, stresses and temperatures. It is therefore necessary to write the laws of conservation of mass, momentum, etc, for the solid and fluid phases, together with the thermodynamic and rheological relations. A large part of the study in devoted to quote these equations from the previously established studies. The method of solution is the classical and well-known asymptotic method. However, the application of this method to the presented set of equation which are highly nonlinear and coupled, is a new feature of the study, together with the interpretation of theoretical results in terms of wave properties.