Acoustics equations in poroelastic media

We study the acoustics equations in poroelastic mediawhich were obtained by the author previously in result of homogenization of the exact dimensionless equations describing the joint motion of an elastic solid skeleton and a viscous fluid in the pores on the microscopic level. A small parameter in this model is the ratio ɛ of the average size l of the pores to the characteristic size L of the physical region under consideration. The homogenized equations (the limit regimes of the exact model as ɛ tends to zero) depend on the dimensionless parameters of the model, which depend on the small parameter, and are small or large quantities as ɛ tends to zero. On assuming that the solid skeleton is periodic, we analyze the concrete form of acoustics equations for the simplest periodic structures.