Abstract
The phenomena of reflection and refraction of plane waves incident obliquely at a plane interface between uniform elastic solid half-space and porous solid containing liquid filled bound pores and two-phase fluid in connected pores has been analyzed. The amplitude ratios of the reflected and refracted waves to that of the incident wave are calculated as a non- singular system of linear algebraic equations. These amplitude ratios are used further to derive the expressions for the partition of incident energy among the reflected and refracted waves. Partition of incident energy among the reflected and refracted waves is studied for incidence of P and SV waves. The conservation of the energy across the interface is verified. The effect of gas saturation, wave frequency, capillary pressure and bound liquid film on the amplitude ratios and energy partitions are studied in the numerical example.
Highlights
A poroelastic solid is considered as an elastic matrix with a Newtonian fluid filling its connected pores
Propagation of harmonic plane waves is considered in a partially saturated porous solid containing liquid filled bound pores and a connected pore space saturated by two-phase fluid, identified as gas and liquid
Following Sharma and Saini (2012), in a partially saturated porous solid containing liquid filled bound pores and a connected pore space saturated by two-phase fluid, three dilatational waves and one shear wave propagate
Summary
A poroelastic solid is considered as an elastic matrix with a Newtonian fluid filling its connected pores. Sharma and Saini (2012) studied the wave propagation in porous solid containing liquid filled bound pores and two-phase fluid in connected pores. Kumar and Sharma (2013) studied the reflection and transmission of attenuated waves at the boundary between two dissimilar poroelastic solids saturated with two immiscible viscous fluids. The present work generalizes the reflection at the free surface studied by Sharma and Saini (2012) to the reflection-refraction phenomenon at the plane interface between uniform elastic solid and porous solid saturated with two miscible/immiscible fluids containing liquid filled bound pores. An energy matrix is calculated, which defines the shares of two waves reflected to elastic solid and four waves refracted to saturated porous solid containing liquid filled bound pores. The effects of gas saturation, wave frequency, capillary pressure and bound liquid film on the amplitude ratios and energy partitions are depicted graphically and discussed
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