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借助Biot多孔介质中的波动方程,根据各种界面条件导出了波在两相介质各种界面上反射的一般计算公式。作为例子,数值计算了P1波入射于几种典型界面时,P1、P2和S波的反射系数与频率、入射角之间的关系。结果表明:各种波的反射系数与入射角、频率有关系,若把多孔介质当作单相均一固体处理,将会得到显著不同的结果。
Based on the wave equation in the Biot porous media, the general formulas for the reflection of the wave at various interfaces of the two-phase media were derived based on various interface conditions. As an example, the relationship between the reflection coefficient of P1, P2, and S waves and the frequency and angle of incidence when P1 waves are incident on several typical interfaces is numerically calculated. The results show that the reflection coefficients of various waves are related to the incident angle and frequency. If the porous media is treated as a single-phase homogeneous solid, significant different results will be obtained.