Abstract The problem of calculating the reflection and transmission coefficients of elastic P -wave incident from a porous half-space onto a fluid-filled crack is solved. The influence of capillary effects arising at the interface between a crack and a porous matrix on these coefficients is analyzed. In the first-order (single-) scattering approximation, the wave number of the effective P -wave propagating in a porous-fractured medium is calculated. It is shown that the hydrodynamic effects associated with fluid filtration at cracks’ boundaries in the field of an acoustic wave lead to significant frequency dispersion of the effective P -wave velocity.

中文翻译：

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弹性压缩波在不混溶流体饱和的多孔破裂介质中的传播

摘要 解决了计算从多孔半空间入射到充满流体的裂缝上的弹性纵波的反射和透射系数的问题。分析了在裂纹和多孔基体之间的界面处产生的毛细效应对这些系数的影响。在一级（单）散射近似中，计算在多孔断裂介质中传播的有效 P 波的波数。结果表明，与声波场中裂缝边界处的流体过滤相关的流体动力学效应导致有效 P 波速度的显着频率色散。