SV波在饱和多孔热弹性介质平面界面上的反射

    Reflection of SV waves at interface of saturated porous thermo-elastic media

    • 摘要: 基于Biot波动理论,建立了饱和多孔热弹性波动方程,研究了SV波在平面界面上的反射问题。在排水和不排水条件下,推导了饱和多孔介质自由边界上P1波、P2波、T波及S波反射系数的表达式。通过算例讨论了频率和排水条件对4种波反射系数的影响,结果表明:P1波中出现明显的低频放大作用,不排水工况更为明显;P2波反射系数较小,且随频率增大而增大;相对于P,S波,T波的反射系数较小。

       

      Abstract: Based on the Biot's wave theory, a thermal elastic wave equation for saturated porous media is established, and reflection of SV waves at the interface of the plane is analyzed. According to the boundary conditions, theoretical expressions for four kinds of reflection waves on the free boundaries are derived, including p1 waves, p2 waves, T-wave and S-wave. The numerical results are obtained and used to discuss the relationship of reflection amplitude for four kinds of reflection waves under frequency and drainage conditions. It is indicated that there is apparent low frequency amplification for p1 waves, and it is obvious in impermeable case. The reflection rate of p2 waves is little and increases with the increase of the frequency. There is less reflectivity of T-wave.

       

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