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Bibliography

Adler, P., Jacquin, C., and Quiblier, J., 1990, Flow in simulated porous media: Int. J. of Multiphase Flow, 16, 691-712.

Adler, P., Jacquin, C., and Thovert, J.-F., 1992, The formation factor of reconstructed porous media: Water Resources Res., 28, 1571.

Arns, C. H., Knackstedt, M. A., Pinczewski, W. V., and Mecke, K. R., 2001, Euler-Poincarè characteristics of classes of disordered media: Phys. Rev. E, 63, 031112.

Arns, C. H., Knackstedt, M. A., Pinczewski, W. V., and Garboczi, E. G., 2001, Accurate estimation of transport properties from microtomographic images, Geophys. Res. Lett., 28, 3361-3364.

Arns, C. H., 2001, The influence of morphology on physical properties of reservoir rocks, Ph.D. thesis, University of New South Wales, Sydney, Australia.

Auzerais, F. M., Dunsmuir, J., Ferreol, B. B., Martys, N., Olson, J., Ramakrishnan, T. S., Rothman, D. H., and Schwartz, L. M., 1996, Transport in sandstone: A study based on three dimensional microtomography: Geophys. Res. Lett., 23, 705-708.

Bentz, D., and Martys, N., 1994, Hydraulic radius and transport in reconstructed model three-dimensional porous media: Transport in Porous Media, 17, 221-238.

Berge, P. A., Berryman, J. G., and Bonner, B. P., 1993, Influence of microstructure on rock elastic properties: Geophys. Res. Lett., 20, 2619-2622.

Berryman, J. G., 1980, Long-wavelength propagation in composite elastic media: J. Acoustic Soc. Am., 69, 416-424.

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., 1999, Tutorial: Origin of Gassmann's equations, Geophysics, 64, 1627-1629.

Budiansky, B., 1965, On the elastic moduli of some heterogeneous materials: J. Mech. Phys. Solids, 13, 223-227.

Castagna, J. P., Batzle, M. L., and Kan, T. K., 1993, Rock physics--The link between rock properties and AVO response in John P. Castagna and Milo M. Backus, Eds., Offset-dependent reflectivity -- theory and practice of AVO analysis: Investigations in Geophysics Series, Soc. Expl. Geophys., 8, 135-171.

Dunsmuir, J. H., Ferguson, S. R., and D'Amico, K. L., 1991, Design and operation of an imaging X-ray detector for microtomography: IOP Conference Series, 121, 257-261.

Flannery, B. P., Deckman, H. W., Roberge, W. G., and D'Amico, K. L., 1987, Three-dimensional X-ray microtomography: Science, 237, 1439-1444.

Fredrich, J., Menendez, B., and Wong, T. F., 1995, Imaging the pore structure of geomaterials: Science, 268, 276-279.

Garboczi, E. J., and Day, A. R., 1995, An algorithm for calculating the effective linear elastic properties of heterogeneous materials: Three-dimensional results for composites with equal phase poisson ratios: J. Mech. Phys. Solids, 43, 1349-1362.

Garboczi, E. J., Finite element and finite difference programs for computing the linear electric and linear elastic properties of digital images of random materials, Technical report, NIST Internal Report 6269, 1998.

Gassmann, F., 1951, Über die Elastizität poroser Medien, Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich, 96, 1-23.

Hadwiger, H., 1957, Vorlesungen über Inhalt, Oberfläche und Isoperimetrie: Springer, New York.

Han, D.-H., 1986, Effects of porosity and clay content on acoustic properties of sandstones and unconsolidated sediments: Ph.D. thesis, Stanford University.

Hashin, Z., and Shtrikman, S., 1962, A variational approach to the theory of effective magnetic permeability of multiphase materials: J. Appl. Phys., 33, 3125-3131.

Hashin, Z., and Shtrikman, S., 1963, A variational approach to the elastic behaviour of multiphase materials: J. Mech. Phys. Solids, 11, 127-140.

Hashin, Z., 1983, Analysis of composite materials: a survey: J. Appl. Mech., 50, 481-505.

Hill, R., 1965, A self-consistent mechanics of composite materials: J. Mech. Phys. Solids, 13, 213-222.

Jacobs, K., Herminghaus, S., and Mecke, K. R., 1998, Thin polymer films rupture via defects: Langmuir, 14, 965-969.

Joshi, M., 1974, A class of stochastic models for porous materials, Ph.D. thesis, University of Kansas, Lawrence.

Lin, C., and Cohen, M. H., 1982, Quantitative methods for microgeometric modelling: J. Appl. Phys., 53, 4152-4165.

Lindquist, B., and Venkatarangan, A., 1999, Investigating 3D geometry of porous media from high resolution images: Phys. and Chem. of the Earth, 24, 87.

Lindquist, W. B., Venkatarangan, A., Dunsmuir, J., and Wong, T. F., 2000, Pore and throat size distributions measured from synchrotron x-ray tomographic images of Fontainbleau sandstones: J. Geophys. Res., 105B, 21508.

Mavko, G., Mukerji, T., and Dvorkin, J., 1998, The rock physics handbook: Cambridge University Press, Cambridge.

Mecke, K. R., and Stoyan, D., Eds., July 2000, Statistical physics - the art of analyzing and modeling spatial structures, volume 554 of Lecture Notes in Physics Springer, Berlin.

Mecke, K. R., 1996, Morphological characterization of patterns in reaction diffusion systems: Phys. Rev. E, 4794-4800.

Milton, G. W., 1981, Bounds on the electromagnetic, elastic, and other properties of two-component composites: Phys. Rev. Lett., 46, 542-545.

Milton, G. W., 1982, Bounds on the elastic and transport properties of two-component composites: J. Mech. Phys. Solids, 30, 177-191.

Nur, A., Marion, D., and Yin, H., 1991, Wave velocities in sediments in Hovem, J., Richardson, M. D., and Stoll, R. D., Eds., Shear Waves in Marine sediments: Kluwer Academic, 131-140.

Nur, A., Mavko, G., Dvorkin, J., and Galmundi, D., 1995, Critical porosity: the key to relating physical properties to porosity in rocks: Proc. 65th Ann Int. Meeting Soc. Expl. Geophys., 878.

Oh, W., and Lindquist, W. B., 1999, Image thresholding by indicator kriging: IEEE Transactions on Pattern Analysis and Machine Intelligence, 21, 590.

Oren, P., and Bakke, S., 2000, Process-based reconstruction of sandstones and prediction of transport properties: Transport in Porous Media, submitted.

Quiblier, J., 1984, A new three-dimensional modeling technique for studying porous media: J. Colloid Interface Sci., 98, 84-102.

Raymer, L. L., Hunt, E. R., and Gardner, J. S., 1980, An improved sonic transit time to porosity transform: 21st Annual Logging Symposium, Trans. Soc. Prof. Well Log Analysts, Paper P.

Roberts, A. P., and Garboczi, E. J., 2000, Elastic properties of model porous ceramics, J. Amer. Ceramic Society, 83, 3041-3048.

Roberts, A. P., and Knackstedt, M., 1996, Structure-property correlations in model composite materials: Phys. Rev. E, 54, 2313-2328.

Roberts, A. P., 1997, Statistical reconstruction of three-dimensional porous media from two-dimensional images: Phys. Rev. E, 56, 3203-3214.

Santaló, L. A., 1953, Introduction to integral geometry: Hermann & Cie Editeurs, Paris.

Schwartz, L. M., Auzerais, F. M., Dunsmuir, J., Martys, N., Bentz, D. P., and Torquato, S., 1994, Transport and diffusion in three-dimensional composite media: Physica A, 207, 28-36.

Spanne, P., Thovert, J., Jacquin, J., Lindquist, W. B., Jones, K., and Coker, D., 1994, Synchotron computed microtomography of porous media: topology and transports: Phys. Rev. Lett., 73, 2001-2004.

Thovert, J.-F., Yousefian, F., Spanne, P., Jacquin, C. G., and Adler, P. M., 2001, Phys. Rev. E, 63, 061307.

Wyllie, M., Gregory, A., and Gardner, G., 1956, Elastic wave velocities in heterogeneous and porous media: Geophysics, 21, 41-70.

Wyllie, M., Gregory, A., and Gardner, G., 1958, An experimental investigation of factors affecting elastic wave velocities in porous media: Geophysics, 23, 459-493.

Wyllie, M., Gardner, G., and Gregory, A., 1963, Studies of elastic wave attenuation in porous media: Geophysics, 27, 569-589.

Yeong, C. L. Y., and Torquato, S., 1998, Reconstructing random media: Phys. Rev. E, 57, 495-506.


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