饱和多孔热弹性体自由表面p波的反射

利用建立的饱和多孔介质中热弹性波的弥散方程,研究了平面p波在自由界面上的反射问题,获得反射系数的表达式。通过算例分析了饱和多孔弹性介质的热膨胀系数对p1波传播速度的影响,进而考虑界面透水与不透水两种工况,讨论了不同频率、入射角和表面排水条件对各反射波幅值的影响特性。结果表明:热物性参数对波的传播有一定的影响,频率、入射角和表面排水条件对两类压缩波、剪切波和热波的反射幅值的影响较大。

Reflection of p-wave at free surface of thermal elastic saturated porous medium

Based on the presented diffusion equation of porothermoelastic waves by the authors, the problem of reflection of plane p-wave on a free interface is investigated and the expressions of the reflection coefficient are derived. Then, the effect of thermal expansion coefficient of the porothermoelasticity on the propagation speed of p1 in the medium is discussed firstly, further more, considered the drainage and no drainage conditions, the effect frequency, incidence angle on the amplitude characteristics of reflection wave is analyzed, and the effect of interfacial pervious and impervious conditions is also discussed. It is shown that the thermal physical parameters have a certain effect on the propagation of thermoelastic waves, and such parameters as frequency, incidence angle and surface drainage conditions can affect the reflection amplitude of two types of compression wave, shear wave and thermal wave.