Journal
GEOPHYSICAL PROSPECTING
Volume 61, Issue 5, Pages 1035-1055Publisher
WILEY-BLACKWELL
DOI: 10.1111/1365-2478.12049
Keywords
Saturated porous solid; Immiscible pore-fluids; Attenuated waves; Inhomogeneous propagation; Reflection and transmission coefficients
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Funding
- CSIR, New Delhi (India) [09/105 (0169)/2008-EMR-1]
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The phenomenon of reflection and transmission of plane harmonic waves at the plane interface between two dissimilar poroelastic solids saturated with two immiscible viscous fluids is investigated. Both porous media are considered dissipative due to the presence of viscosity in pore-fluids. Four attenuated (three dilatational and one shear) waves propagate in such a dissipative porous medium. A finite non-dimensional parameter is used to define the effective connections between the surface-pores of two media at their common interface. Another finite parameter represents the gas-share in the saturation of pores. An attenuated wave in a dissipative medium is described through the specification of directions of propagation and maximum attenuation. A general representation of an attenuated wave is defined through its inhomogeneous propagation, i.e., different directions for propagation and attenuation. Incidence of an inhomogeneous wave is considered at the interface between two dissipative porous solids. This results in four reflected and four transmitted inhomogeneous waves. Expressions are derived for the partition of incident energy among the reflected and transmitted waves. Numerical examples are studied to determine the effects of saturating pore fluid, frequency, surface-pore connections and wave inhomogeneity on the strengths of reflected and transmitted waves. Interaction energy due to the interference of different (inhomogeneous) waves is calculated in both the dissipative porous media to verify the conservation of incident energy.
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