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REFLECTION AND TRANSMISSION OF INHOMOGENEOUS WAVES AT THE PLANE INTERFACE BETWEEN TWO DISSIMILAR SWELLING POROUS HALF-SPACES

Volume 6, Edição 1, 2015, pp. 51-69
DOI: 10.1615/SpecialTopicsRevPorousMedia.v6.i1.50
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RESUMO

The present work deals with the reflection and transmission phenomena of inhomogeneous plane harmonic waves striking obliquely at the plane interface between two dissimilar swelling porous half-spaces saturated with immiscible fluids. Two problems have been considered: (i) when an inhomogeneous dilatational wave is made incident at the interface; (ii) when an inhomogeneous shear wave is made incident at the interface. Appropriate boundary conditions for an impermeable interface between the dissimilar porous half-spaces are formulated. Equations providing the amplitude ratios and explicit expressions for the partitioning of incident energy among various reflected/transmitted waves have been presented. A numerical simulation is conducted for reservoir rock (sandstone) saturated with gas (CO2)-water mixture in the lower half-space and Massillon sandstone permeated by an air-water mixture in the upper half-space. The variations of the amplitude ratios and corresponding energy ratios against the angle of incidence and frequency parameter have been illustrated graphically. It has been verified that during reflection/transmission phenomena, the sum of energy ratios is equal to unity at each angle of incidence.

CITADO POR
  1. Goyal Suraj, Singh Dilbag, Tomar S. K., Rayleigh-Type Surface Waves in a Swelling Porous Half-Space, Transport in Porous Media, 113, 1, 2016. Crossref

  2. Kumar Rajneesh, Batra Divya, Fundamental solution of steady oscillation in swelling porous thermoelastic medium, Acta Mechanica, 231, 8, 2020. Crossref

  3. Goyal Suraj, Bhagwan Jai, Tomar S.K., Elastic waves at the plane interface of swelling porous half-space and viscoelastic half-space with voids, International Journal of Mechanical Sciences, 188, 2020. Crossref

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