Propagation of Rayleigh waves in unsaturated porothermoelastic media
Hongbo Liu, Fengxi Zhou, Liye Wang, Ruiling Zhang
Abstract
Summary Based on the frame of elastic theory for unsaturated porous medium, considering the influence of thermal effect, the propagation characteristics of Rayleigh wave in unsaturated porous media are studied. Firstly, the thermoelastic wave equations for three‐phase porous media are established, in which the mass balance equations, generalized Darcy law, momentum balance equations, and generalized non‐Fourier heat conduction law are taken into account. Secondly, through theoretical derivation, the dispersion equation of Rayleigh wave for unsaturated porothermoelastic media is given by introducing the potential functions. Finally, the variations of the phase velocity of Rayleigh wave are analyzed with numerical examples. The results show that the thermal conductivity has little effect on the phase velocity of Rayleigh wave. The phase velocity of Rayleigh wave increase with increasing of the thermal expansion coefficient and media temperature.