Generalization of Gassmann equations for porous media saturated with a solid material

Geophysics

Volumn 72, Issue 6, 2007, Pages

  Ciz, Radim ^a   Shapiro, Serge A ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; ELASTIC MODULI; ELASTICITY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; POROSITY; ROCKS; SOLIDS; STRESSES;

ELASTIC PROPERTIES; GASSMANN EQUATIONS; POROUS FRAME; ROCK FRAME; SOLID-SATURATED POROUS ROCK;

POROUS MATERIALS;

COMPUTER SIMULATION; DEFORMATION; ELASTIC MODULUS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; POROUS MEDIUM; ROCK MECHANICS;

EID: 36148957511     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2772400     Document Type: Article

References (11)

1. Arns, C., M. Knackstedt, W. Pinczewski, and E. Garboczi, 2002, Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment: Geophysics, 67, 1396-1405. gpy GPYSA7 0016-8033 10.1190/1.1512785
2. Biot, M. A., 1962, Mechanics of deformation and acoustic propagation in porous media: Journal of Applied Physics, 33, 1482-1498. jap JAPIAU 0021-8979 10.1063/1.1728759
3. Brown, R. J. S., and J. Korringa, 1975, On the dependence of the elastic properties of a porous rock on the compressibility of the pore fluid: Geophysics, 40, 608-616. gpy GPYSA7 0016-8033 10.1190/1.1440551
4. Garboczi, E. J., and A. R. Day, 1995, An algorithm for calculating the effective linear elastic properties of heterogeneous materials: Three dimensional results for composites with equal phase Poisson ratios: Journal of the Mechanics and Physics of Solids, 43, 1349-1362. jmx JMPSA8 0022-5096 10.1016/0022-5096(95)00050-S
5. Gassmann, F., 1951, Über die Elastizität poröser Medien: Vierteljahrsschrift der Naturforschende Gesellschaft, 96, 1-23. bsv ZZZZZZ 0042-5672
6. Hashin, Z., and S. Shtrikman, 1963, A variational approach to the elastic behavior of multiphase materials: Journal of the Mechanics and Physics of Solids, 11, 127-140. jmx JMPSA8 0022-5096 10.1016/ 0022-5096(63)90060-7
7. Hill, R., 1963, Elastic properties of reinforced solids, Some theoretical principles: Journal of the Mechanics and Physics of Solids, 11, 357-372. jmx JMPSA8 0022-5096 10.1016/0022-5096(63)90036-X
8. Mavko, G., T. Mukerji, and J. Dvorkin, 1998, Rock physics handbook: Cambridge University Press.
9. Saenger, E. H., N. Gold, and S. A. Shapiro, 2000, Modeling the propagation of elastic waves using a modified finite-difference grid: Wave Motion, 31, 77-92. wvm WAMOD9 0165-2125 10.1016/ S0165-2125(99)00023-2
10. Saenger, E. H., S. A. Shapiro, and Y. Keehm, 2005, Seismic effects of viscous Biot-coupling, finite difference simulations on micro-scale: Geophysical Research Letters, 32, L14310. gpr GPRLAJ 0094-8276 10.1029/ 2005GL023222
11. Shapiro, S. A., and A. Kaselow, 2005, Porosity and elastic anisotropy of rocks under tectonic stress and pore-pressure changes: Geophysics, 70, no. 5, N27-N38. gpy GPYSA7 0016-8033 10.1190/1.2073884