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.
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