Seismic Reflection from an Interface Between an Elastic Solid and a Fractured Porous Medium with Partial Saturation |
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Authors: | Ashish Arora S K Tomar |
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Institution: | 1.Department of Mathematics,Kanya Mahavidyalya,Jalandhar,India;2.Department of Mathematics,Panjab University,Chandigarh,India |
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Abstract: | The theory of Tuncay and Corapcioglu (Transp Porous Media 23:237–258, 1996a) has been employed to investigate the possibility
of plane wave propagation in a fractured porous medium containing two immiscible fluids. Solid phase of the porous medium
is assumed to be linearly elastic, isotropic and the fractures are assumed to be distributed isotropically throughout the
medium. It has been shown that there can exist four compressional waves and one rotational wave. The phase speeds of these
waves are found to be affected by the presence of fractures, in general. Of the four compressional waves, one arises due to
the presence of fractures in the medium and the remaining three are those encountered by Tuncay and Corapcioglu (J Appl Mech
64:313–319, 1997). Reflection and transmission phenomena at a plane interface between a uniform elastic half-space and a fractured
porous half-space containing two immiscible fluids, are analyzed due to incidence of plane longitudinal/transverse wave from
uniform elastic half-space. Variation of modulus of amplitude and energy ratios with the angle of incidence are computed numerically
by taking the elastic half-space as granite and the fractured porous half-space as sandstone material containing non-viscous
wetting and non-wetting fluid phases. The results obtained in case of porous half-space with fractures, are compared graphically
with those in case of porous half-space without fractures. It is found that the presence of fractures in the porous half-space
do affect the reflection/transmission of waves, which is responsible for raising the reflection and lowering the transmission
coefficients. |
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Keywords: | |
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