Abstract
The motion equations of anisotropic media, coupled to the mass conservation and thermo-equilibrium equations of fluid, are studied here based on the standard space of physical presentation for consolidation of anisotropic saturated soils, in which a new compressible thermo-elastic model is induced. A set of uncoupled equation of elastic waves in anisotropic saturated solids is deduced. The results show that the elastic waves and speeds of elastic waves is affected by both anisotropic subspaces of solids and thermal and compressive coupling coefficients between fluid and solid. Based on these laws, we discuss the elastic wave behaviour for isotropic solids.
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