REFERENCES

• Avellaneda, M., 1987, Iterated homogenization, differential effective medium theory and applications: Commun.Pure Appl.Math. 40, 527-554.
• Benveniste, Y., 1987, A new approach to the application of Mori-Tanaka's theory in composite materials: Mech.Mater. 6, 147-157.
• Berryman, J. G., 1980, Long-wavelength propagation in composite elastic media II. Ellipsoidal inclusions: J. Acoust.Soc.Am. 68, 1820-1831.
• Berryman, J. G., 1985, Scattering by a spherical inhomogeneity in a fluid-saturated porous medium: J. Math.Phys. 26, 1408-1419.
• Berryman, J. G., 1986, Effective medium approximation for elastic constants of porous solids with microscopic heterogeneity: J. Appl.Phys. 59, 1136-1140.
• Berryman, J. G., 1992, Single-scattering approximations for coefficients in Biot's equations of poroelasticity: J. Acoust.Soc.Am. 91, 551-571.
• Berryman, J. G., 1995, Mixture theories for rock properties: in Ahrens, T. J., Ed., American Geophysical Union Handbook of Physical Constants: American Geophysical Union, New York, pp.205-228.
• Berryman, J. G., 1997, Generalization of Eshelby's formula for a single ellipsoidal elastic inclusion to poroelasticity and thermoelasticity: Phys.Rev.Lett. 79, 1142-1145.
• Berryman, J. G., and P. A. Berge, 1996, Critique of two explicit schemes for estimating elastic properties of multiphase composites: Mech.Mater. 22, 149-164.
• Berryman, J. G., and P. A. Berge, 1998, Exact results for anisotropic poroelasticity arising from oriented isotropic inclusions: In preparation.
• Berryman, J. G., and G. W. Milton, 1991, Exact results for generalized Gassmann's equations in composite porous media with two constituents: Geophysics 56, 1950-1960.
• Biot, M. A., 1941, General theory of three dimensional consolidation: J. Appl.Phys. 12, 155-164.
• Biot, M. A., 1962, Mechanics of deformation and acoustic propagation in porous media: J. Appl.Phys. 33, 1482-1498.
• Biot, M. A., and D. G. Willis, 1957, The elastic coefficients of the theory of consolidation: J. App.Mech. 24, 594-601.
• Brown, R. J. S., and J. Korringa, 1975, On the dependence of the elastic properties of a porous rock on the compressibility of a pore fluid: Geophysics 40, 608-616.
• Cleary, M. P., L.-W. Chen and S. M. Lee, 1980, Self-consistent techniques for heterogeneous media: ASCE J. Eng.Mech. 106, 861-887.
• Eshelby, J. D., 1957, The determination of the elastic field of an ellipsoidal inclusion, and related problems: Proc.R. Soc.London A 241, 376-396.
• Gassmann, F., 1951, Über die elastizität poröser medien: Veirteljahrsschrift der Naturforschenden Gesellschaft in Zürich 96, 1-23.
• Green, D. H. and H. F. Wang, 1986, Fluid pressure response to undrained compression in saturated sedimentary rock: Geophysics 51, 948-956.
• Gubernatis, J. E. and J. A. Krumhansl, 1975, Macroscopic engineering properties of polycrystalline materials: Elastic properties: J. Appl.Phys. 46, 1875-1883.
• Hart, D. J., and H. F. Wang, 1995, Laboratory measurements of a complete set of poroelastic moduli for Berea sandstone and Indiana limestone: J. Geophys.Res. 100, 17741-17751.
• Hill, R., 1963, Elastic properties of reinforced solids: Some theoretical principles. J. Mech.Phys.Solids 11, 357-372.
• Korringa, J., R. J. S. Brown, D. D. Thompson, and R. J. Runge, 1979, Self-consistent imbedding and the ellipsoidal model for porous rocks: J. Geophys.Res. 84, 5591-5598.
• Kuster, G. T. & M. N. Toksöz, 1974, Velocity and attenuation of seismic wave in two-phase media. Part I.Theoretical formulations & Part II.Experimental results: Geophysics 39, 587-618.
• Milton, G. W., 1985, The coherent potential approximation is a realizable effective medium theory: Commun.Math.Phys. 99, 463-500.
• Mori, T., and K. Tanaka, 1973, Average stress in matrix and average elastic energy of materials with misfitting inclusions: Acta Metal. 21, 571-574.
• Norris, A. N., 1985, A differential scheme for the effective moduli of composites: Mech.Mater. 4, 1-6.
• Rice, J. R., and M. P. Cleary, 1976, Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents: Rev.Geophys.Space Phys. 14, 227-241.
• Skempton, A. W., 1954, The pore-pressure coefficients A and B: Geotechnique 4, 143-147.
• Walpole, L. J., 1969, On the overall elastic moduli of composite materials: J. Mech.Phys.Solids 17, 235-251.
• Walsh, J. B., 1969, New analysis of attenuation in partially melted rock: J. Geophys.Res. 74, 4333-4337.
• Weng, G. J., 1984, Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions: Int.J. Eng.Sci. 22, 845-856.
• Wu, T. T., 1966, The effect of inclusion shape on the elastic moduli of a two-phase material: Int.J. Solids Struct. 2, 1-8.