Abstract of the paper ``Effective medium approximation for elastic constants of
porous solids with microscopic heterogeneity''
Formulas for the scattering from an inhomogeneous sphere in a fluid-saturated
porous medium are used to construct a self-consistent effective medium appoximation
for the coefficients in Biot's equations of poroelasticity
[J. Acoust. Soc. Am. 28, 168 (1956)] when the material constituting the porous solid frame is not homogeneous on the microscopic scale.
The discussion is restricted to porous materials exhibiting both macroscopic
and microscopic isotropy.
Brown and Korringa [Geophysics 40, 608 (1975)] have previously found the general form of these
coefficients. The present results give explicit estimates of all the coefficients
in terms of the moduli of the solid constituents. The results are also shown to be
completely consistent with the well-known results of Gassmann and of Biot
and Willis, as well as those of Brown and Korringa.
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