热弹性波在层状介质中传播的一类反射问题的解
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摘要
本文作为基础理论研究,从热弹性波方程组出发,求出了热弹性波在层状介质中传播的解析解,并给出了热弹性波对于平面夹层的反射波,透射波及其伴随的具有相同传播速度的温度波。此时,反射系数、透射系数均为复数表明,反射波、透射波的振幅及相位都受介质的物性参数、夹层厚度及入射波频率的影响。这些与弹性波不同的结果会在地震勘探、地震工程等有关问题的研究中得到应用。
As a basic theoretical research,this article started from the thermoelasticity wave equations and extracted the analytical solutions of thermoelasticity wave propagating in stratified medium.We give the reflected wave and transmission wave of thermoelasticity wave affecting on the interlayer,and temperature wave with the same propagation velocity.Here the reflection coefficient and transmission coefficient are complex,which show that in this case,the amplitudes and phases of reflected wave and transmission wave are affected by physical property parameter,thickness of the interlayer and the frequency of incident wave.These different results from the elastic waves can be applied in seismic exploration,earthquake engineering and other related issues.
引文
[1]徐红玉,陈殿云,杨先健.弹性介质中平面SH波通过夹层时的传播特征[J].岩石力学与工程学报,2003,22(8):18-16.
    [2]范留明,李宁.软弱夹层的透射模型及其隔震特性研究[J].岩石力学与工程学报,2005,24(14):25-31.
    [3]刘文堂,胡顺田,李军,等.热弹性介质中波的衰减性质及Q值[J].地震,2008,28(2):39-45.
    [4]胡顺田,刘文堂,李军,等.热弹性介质中波的一类反射问题的解[J].地震,2008,28(2):46-53.

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