“…More generally, the pore pressure diffusion seems to be a triggering mechanism for earthquake swarms [33]. There is a huge interest toward the research in wave propagation in porous media, starting with Biot's early works [5,34,35], continuing with the studies by Wilson and Aifantis [12], Beskos et al [14], Beskos and Papadakis [15], Shankland et al [36], Berryman and Wang [37], and with more recent studies by Olny and Boutin [18], Mu¨ller et al [31], Svanadze [38], Ciarletta et al [39], Straughan [40], Davis et al [41], Gales x and Chirit xa˘ [42], Chirit xaȃ nd Arusoaie [43], and Chirit xa˘and Gales x [44]. Based on the results by Nield [45], Franchi et al [46], and Svanadze [47], Chirit xa˘ [48] develops a mathematical model able to describe the evolutive behavior of triple porous media under local thermal non-equilibrium hypothesis: taking into account anisotropic and inhomogeneous materials, the constitutive equations are given, showing the terms connecting pressures and temperatures at the different pore scales.…”