Papers on Rock Physics: Elasticity and Transport Coefficients of Random Media

General information: +


J. G. Berryman, ``Bounds and estimates for transport coefficients of random and porous media with high contrasts,'' Journal of Applied Physics 97, 063504 (2005).

J. G. Berryman, ``Bounds and estimates for elastic constants of random polycrystals of laminates,'' International Journal of Solids and Structures 42, 3730-3743 (2005).

J. G. Berryman, ``Thermal conductivity of porous media,'' Applied Physics Letters 86, 032905 (2005).


J. G. Berryman, ``Bounds on elastic constants for random polycrystals of laminates,'' Journal of Applied Physics 96, 4281-4287 (2004).

J. G. Berryman, ``Poroelastic shear modulus dependence on pore-fluid properties arising in a model of thin isotropic layers,'' Geophysical Journal International 157, 415--425 (2004).

J. G. Berryman, ``Elastic and poroelastic analysis of Thomsen parameters for seismic waves in finely layered VTI media,'' to appear in March-April issue of Geophysics.

J. G. Berryman, ``Poroelastic fluid effects on shear for rocks with soft anisotropy,'' to appear in Geophysical Journal International .

J. G. Berryman, ``Modeling high-frequency acoustic velocities in patchy and partially saturated porous rock using differential effective medium theory,'' International Journal of Multiscale Computational Engineering 2, 115-131 (2004).


J. G. Berryman, S. R. Pride, and H. F. Wang, ``A differential scheme for elastic properties of rocks with dry or saturated cracks,'' Geophysical Journal International 151, 597--611 (2002).


E. J. Garboczi and J. G Berryman, ``Elastic moduli of a material containing composite inclusions: Effective medium theory and finite element computations,'' Mechanics of Materials 33, 455-470 (2001).


E. J. Garboczi and J. G Berryman, ``New effective medium theory for the diffusivity or conductivity of a multi-scale concrete microstructure material,'' Concrete Science and Engineering 2, 88-96 (2000).


J. G. Berryman, V. Grechka, and P. A. Berge, ``Analysis of Thomsen parameters for finely layered VTI media,'' Geophysical Prospecting 47, 959-978 (1999).

J. Dvorkin, J. Berryman, and A. Nur, ``Elastic moduli of cemented sphere packs,'' Mechanics of Materials 31, 461-469 (1999).

L. V. Gibiansky, G. W. Milton, and J. G.Berryman, ``On the effective viscoelastic moduli of two-phase media. III. Rigorous bounds on the complex shear modulus in two dimensions,'' Proc. Royal Soc. London A 455, 2117--2149 (1999).


D. L. Johnson, L. M. Schwartz, D. Elata, J. G. Berryman, B. Hornsby, and A. N. Norris, ``Linear and nonlinear elasticity of granlar media: Stress-induced anisotropy of a random sphere pack,'' ASME Journal of Applied Mechanics 65, 380-388 (1998).


G. W. Milton and J. G. Berryman, ``On the effective viscoelastic moduli of two-phase media. II. Rigorous bounds on the complex shear modulus in three dimensions,'' Proc. Royal Soc. London A 453, 1849--1880 (1997). r

J. G. Berryman and P. A. Berge, Critique of two explicit schemes for estimating elastic properties of multiphase composites, Mechanics of Materials 22, 149-164 (1996). r y

D. Elata and J. G. Berryman, Contact force-displacement laws and the mechancial behavior of random packs of identical spheres, Mechanics of Materials 24, 229-240 (1996). r


P. A. Berge, B. P. Bonner, and J. G. Berryman, `` Ultrasonic velocity-porosity relationships for sandstone analogs made from fused glass beads,'' Geophysics 60, 108-119 (1995).

J. G. Berryman, Mixture theories for rock properties, American Geophysical Union Handbook of Physical Constants, edited by T. J. Ahrens (AGU, New York, 1995), pp. 205-228. r y

T. Mukerji, J. Berryman, G. Mavko, and P. Berge, ``Differential effective medium modeling of rock elastic moduli with critical porosity constraints,'' Geophys. Res. Lett. 22, 555-558 (1995). +


J. G. Berryman, ``Role of porosity in estimates of composite elastic constants,'' in Composite Material Technology 1993, Proceedings of the Symposium on Composite Material Technology at Houston, Texas, January 31--February 4, 1993, the 16th Annual Energy-sources Technology Conference and Exhibition, edited by D. Hui, T. J. Kozik, and O. O. Ochoa (ASME, New York, 1993), pp. 223-235. Revised version in Trans. ASME J. Energy Resources Tech. 116, 87-96 (1994). +

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

J. G. Berryman, `` Analysis of ultrasonic velocities of hydrocarbon mixtures,'' J. Acoust. Soc. Am. 93, 2666-2668 (1993). +

J. G. Berryman and P. A. Berge, ``Rock elastic properties: Dependence on microstructure,'' in Homogenization and Constitutive Modeling for Heterogeneous Materials, Proceedings of the Symposium on Homogenization and Constitutive Modeling for Heterogeneous Materials, University of Virginia, Charlottesville, Virginia, June 6-9, 1993, edited by C. S. Chang and J. W. Ju (ASME, New York, 1993), pp. 1-13. +


J. G. Berryman, ``Estimating effective moduli of composites using quantitative image analysis,'' in Random Media and Composites, edited by R. V. Kohn and G. W. Milton, Proceedings of the SIAM Workshop on Random Media and Composites, Xerox Training Center, Leesburg, VA, December 7-10, 1988 (SIAM, Philadelphia, 1989), Chapter 1, pp. 3-12. +

J. G. Berryman, ``Integrating and interpolating three-point correlation functions on a lattice,'' J. Comput. Phys. 75, 86-102 (1988). +

J. G. Berryman and G. W. Milton, ``Microgeometry of random composites and porous media,'' J. Phys. D: Appl. Phys. 21, 87-94 (1988). +


J. G. Berryman, ``Relationship between specific surface area and spatial correlation functions for anisotropic porous media'' J. Math. Phys. 28, 244-245 (1987). +

B. P. Bonner, S. E. Benson, and J. G. Berryman, ``Acoustic microscopy of rough surfaces,'' in Multiple Scattering of Waves in Random Media and Random Rough Surfaces, edited by V. V. Varadan and V. K. Varadan, Proceedings of an International Symposium held at Pennsylvania State University, University Park, PA, July 29-August 2, 1985 (Pennsylvania State University, University Park, PA, 1987), pp. 671-678. +


J. G. Berryman, ``Measurement of spatial correlation functions using image processing techniques,'' J. Appl. Phys. 57, 2374-2384 (1985). +

J. G. Berryman, ``Variational bounds on elastic constants for the penetrable sphere model,'' J. Phys. D: Appl. Phys. 18, 585-597 (1985). +


S. H. Francis, M. Slazak, and J. G. Berryman, ``Response of elastic cylinders to convective flow noise I. Homogeneous, layered cylinders,'' J. Acoust. Soc. Am. 75, 166-172 (1984). +

J. G. Berryman, ``Effective medium theory for elastic composites,'' in Elastic Wave Scattering and Propagation, edited by V. K. Varadan and V. V. Varadan, Proceedings of the Specialty Symposium on Wave Propagation and Scattering, Midwestern Mechanics Conference XVII, May 6-8, 1981, University of Michigan at Ann Arbor (Ann Arbor Science, Ann Arbor, MI, 1982), Chapt. 7, pp. 111-129. +

J. G. Berryman, ``Long-wavelength propagation in composite elastic media I. Spherical inclusions,'' J. Acoust. Soc. Am. 68, 1809-1819 (1980).

J. G. Berryman, ``Long-wavelength propagation in composite elastic media II. Ellipsoidal inclusions,'' J. Acoust. Soc. Am. 68, 1820-1831 (1980). + --- Reprinted in: Seismic and Acoustic Velocities in Reservoir Rocks, Vol. 2, Theoretical and Model Studies, edited by Z. Wang and A. Nur (Society of Exploration Geophysicists, Tulsa, Oklahoma, 1992), pp. 285-296.


J. G. Berryman, ``Theory of elastic properties of composite materials,'' Appl. Phys. Lett. 35, 856-858 (1979). +

E-mail to berryman@farne.stanford.edu