Abstract

We study the propagation of longitudinal waves in a layered medium with inhomogeneous boundary conditions for two versions of wave propagation geometry—parallel and perpendicular to structure layers. The dispersion equations for a longitudinal wave are derived for the considered cases of propagation. The dispersion equations are solved for the wavenumber to determine dependences of effective longitudinal wave velocities on relative layer thickness and material parameters. The resulting dependences are used in the problems of determining the physical and mechanical characteristics of the medium based on acoustic measurements.

中文翻译：

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边界条件不均匀的层状介质在不同传播方向上纵波的色散方程

摘要

我们研究了纵向波在边界条件不均匀的分层介质中对于两种形式的波传播几何形状（平行和垂直于结构层）的传播。对于所考虑的传播情况，导出了纵波的色散方程。求解波数的色散方程，以确定有效纵向波速对相对层厚度和材料参数的依赖性。所产生的依赖性用于基于声学测量确定介质的物理和机械特性的问题中。