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AbstractReflection of a seismic wave from a plane interface
between two elastic media does not depend on the frequency. If one of
the media is poroelastic and fluid-saturated, then the reflection
becomes frequency-dependent. This paper presents a low-frequency
asymptotic formula for the reflection of seismic plane p-wave from a
fluid-saturated porous medium. The obtained asymptotic scaling of the
frequency-dependent component of the reflection coefficient shows that
it is asymptotically proportional to the square root of the product of
the reservoir fluid mobility and the frequency of the signal. The
dependence of this scaling on the dynamic Darcy's law relaxation time
is investigated as well. Derivation of the main equations of the
theory of poroelasticity from the dynamic filtration theory reveals
that this relaxation time is proportional to Biot's tortuosity
parameter. |
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