Capillary forces in the acoustics of patchy-saturated porous media

Details Capillary forces in the acoustics of patchy-saturated porous media Capillary forces in the acoustics of patchy-saturated porous media

2002-12-20

arxiv.org/abs/cond-mat/0212534v2

JASA 114 (2003) 2596

Physics

Condensed Matter

Disordered Systems and Neural Networks

27 pages, 3 figures

Scientific paper

10.1121/1.1621009

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 $\tilde{K}(\omega)$ 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 $\tilde{K}(\omega)$.

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