Homogenization-based modelling of wave propagation in the Biot medium with large contrasts in the permeability and poroelastic coefficients

摘要

The paper deals with the modelling of dynamics and wave propagation in fluid-saturated periodic media with large contrasts in the permeability and other poroelastic coefficients. The effective behaviour is described using a model obtained using the ho-mogenization of the heterogeneous Biot continuum relevant to the mesoscopic level at which the dual porosity is featured by low permeability, whereas the primary porosity is very compliant. All material coefficients of the homogenized model depend on the frequency of incident waves. Although this effect is low at the effective elasticity, it is more important at the Biot compressibility and the pressure-strain coupling coefficients. Numerical examples illustrate comparison between the standard single porosity and the proposed double porosity models.