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Capillary forces in the acoustics of patchy-saturated porous media

Yaroslav Tserkovnyak·David Linton Johnson
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Abstract

A linearized theory of the acoustics of porous elastic formations, such as rocks, saturated with two different viscous fluids is generalized to take into account a pressure discontinuity across the fluid boundaries. The latter can arise due to the surface tension of the membrane separating the fluids. We show that the frequency-dependent bulk modulus $\tilde{K}(ω)$ for wave lengths longer than the characteristic structural dimensions of the fluid patches has a similar analytic behavior as in the case of a vanishing membrane stiffness and depends on the same parameters of the fluid-distribution topology. The effect of the capillary stiffness can be accounted by renormalizing the coefficients of the leading terms in the low-frequency asymptotic of $\tilde{K}(ω)$.

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BibTeXRIS

Yaroslav Tserkovnyak, David Linton Johnson. 2003-11-09. Capillary forces in the acoustics of patchy-saturated porous media. https://doi.org/10.1121/1.1621009

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