Two-phase damage theory and crustal rock failure: The theoretical 'void' limit, and the prediction of experimental data

Geophysical Journal International

Volumn 155, Issue 3, 2003, Pages 1057-1064

  Ricard, Yanick ^a   Bercovici, David ^b  

^a UNIVERSITÉ DE LYON   (France)

^b YALE UNIVERSITY   (United States)

Author keywords

Damage; Fracture; Sandstone

Indexed keywords

DAMAGE MECHANICS; FAILURE MECHANISM; FLUID DYNAMICS; FRACTURE MECHANICS; GEODYNAMICS; MANTLE CONVECTION; PLATE TECTONICS; RHEOLOGY; SANDSTONE;

EID: 0012370107     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2003.02112.x     Document Type: Article

References (24)

1. Baud, P., Schubnel, A. & Wong, T., 2000. Dilatancy, compaction, and failure mode in solnhofen limestone, J. geophys. Res., 105, 19 289-19 303.
2. Bercovici, D. & Ricard, Y., 2003. Energetics of a two-phase model of lithospheric damage, shear localization and plate-boundary formation, Geophys. J. Int., 152, 581-596.
3. Bercovici, D., Ricard, Y. & Richards, M., 2000. The relation between mantle dynamics and plate tectonics: a primer, in History and Dynamics of Global Plate Motions, Geophys. Monogr. Ser., Vol. 121, pp. 5-46, eds Richards, M.A., Gordon, R., & van der Hilst, R., AGU, Washington, DC.
4. Bercovici, D., Ricard, Y. & Schubert, G., 2001a. A two-phase model of compaction and damage, 1. General theory, J. geophys. Res., 106, 8887-8906.
5. Bercovici, D., Ricard, Y. & Schubert, G., 2001b. A two-phase model of compaction and damage, 3. Applications to shear localization and plate boundary formation, J. geophys. Res., 106, 8925-8940.
6. Drew, D., 1971. Averaged field equations for two-phase media, Stud. Appl. Math., 50, 133-166.
7. Fung, Y., 1977. A First Course in Continuum Mechanics. Prentice-Hall, Englewood Cliffs.
8. Griffith, A., 1921. The phenomenon of rupture and flow in solids, Phil. Trans. R. Soc. Lond., A, 221, 163-198.
9. Jaeger, J. & Cook, N., 1979. Fundamentals of Rock Mechanics, 3rd edn, Chapman and Hall, New York.
10. Jamison, W. & Teufel, L., 1979. Pore volume changes associated with failure and frictional sliding of a porous sandstone, Proc. US Rock Mech. Symp. 20, 163-170.
11. Jizba, D., 1991. Mechanical and acoustical properties of sandstones and shales, PhD thesis, Stanford University.
12. Khan, A., Xiang, Y. & Huang, S., 1991. Behavior of berea sanstone under confining pressure, I. Yield and failure surfaces, and nonlinear elastic response, Int. J. Plasticity, 7, 607-624.
13. Lyakhovsky, V., Ben-Zion, Y. & Agnon, A., 1997. Distributed damage, faulting, and friction, J. geophys. Res., 102, 27 635-27 649.
14. McKenzie, D., 1984. The generation and compaction of partially molten rock, J. Petrol., 25, 713-765.
15. Murrell, S., 1963. A criterion for brittle fracture of rocks and concrete under triaxial stress and the effect of pore pressure on the criterion, in Proc. 5th Rock Mechanics Symp., pp. 563-577, ed. Fairhurst, C., Pergamon, Oxford.
16. Ni, J. & Beckerman, C., 1991. A volume-averaged two-phase model for transport phenomena during solidification, Metall. Trans. B, 22, 349-361.
17. Ricard, Y., Bercovici, D. & Schubert, G., 2001. A two-phase model of compaction and damage, 2. applications to compaction, deformation, and the role of interfacial surface tension, J. geophys. Res., 106, 8907-8924.
18. Schock, R., Heard, H. & Stephens, D., 1973. Stress-strain behavior of a granodiorite and two graywackes on compression to 20 kilobars, J. geophys. Res., 78, 5922-5941.
19. Sleep, N., 2002. Self-organization of crustal faulting and tectonics, Int. Geol. Rev., 44, 83-96.
20. Vernik, L., Bruno M. & Bovberg, C., 1993. Empirical relations between compressive strength and porosity of siliclastic rocks, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 309, 677-690.
21. von Mises, R., 1913. Mechanik der festen korper im plastich deformablen zustand. Nachr. Ges. Wiss. Gottingen, pp. 582-592.
22. Wong, T.-F., David, C. & Zhu, W., 1997. The transition from brittle faulting to cataclastic flow in porous sandstones: mechanical deformation, J. geophys. Res., 102, 3009-3025.
23. Zhang, J., Wong, T.-F. & Davis, D., 1990, Micromechanics of pressure-induced grain crushing in porous rocks, J. geophys. Res., 95, 341-352.
24. Zhu, W. & Wong, T.-F., 1997. The transition from brittle faulting to cataclastic flow: permeability evolution, J. geophys. Res., 102, 3027-3041.