The motion equations of anisotropic media, coupled to the mass conservation and thermoequilibrium equations of fluid, are\nstudied here based on the standard space of physical presentation for thermoelastic dynamics of anisotropic saturated porous\nsolids. By introducing a new compressible thermo-elastic model, a set of uncoupled equations of elastic waves are deduced. The\nresults show that the elastic waves and speeds of elastic waves are affected by both anisotropic subspaces of solids and thermal and\ncompressive coupling coefficients between fluid and solid. Based on these laws, we discuss the propagation behaviour of elastic\nwaves for various anisotropic solids.
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