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.

中文翻译：

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瑞利波在非饱和多孔热弹性介质中的传播

基于非饱和多孔介质的弹性理论框架，考虑热效应的影响，研究了瑞利波在非饱和多孔介质中的传播特性。首先，建立了三相多孔介质的热弹性波动方程，其中考虑了质量平衡方程，广义达西定律，动量平衡方程和广义非傅立叶热传导定律。其次，通过理论推导，通过引入势函数，给出了不饱和多孔热弹性介质的瑞利波频散方程。最后，通过数值算例分析了瑞利波的相速度变化。结果表明，导热系数对瑞利波的相速度影响很小。