A constitutive model for fault gouge deformation in dynamic rupture simulations

Journal of Geophysical Research: Solid Earth

Volumn 113, Issue 12, 2008, Pages

  Daub, Eric G ^a   Carlson, Jean M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION MECHANISM; FAULT GOUGE; NUMERICAL MODEL; SHEAR ZONE; SLIP RATE;

EID: 61449168925     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2007JB005377     Document Type: Article

References (75)

1. Aagaard, B. T., J. F. Hall, and T. H. Heaton (2001), Characterization of near-source ground motions with earthquake simulations, Earthquake Spectra, 17, 177-207.
2. Abercrombie, R. E., and J. R. Rice (2005), Can observations of earthquake scaling constrain slip weakening?, Geophys. J. Int., 162, 406-424, doi:10.1111/j.1365-246X.2005.02579.x.
3. Andrews, D. J. (1976a), Rupture propagation with finite stress in antiplane strain, J. Geophys. Res., 81, 3575-3582.
4. Andrews, D. J. (1976b), Rupture velocity of plane strain shear cracks, J. Geophys. Res., 81, 5679-5687.
5. Archuleta, R. J. (1984), A faulting model for the 1979 Imperial Valley earthquake, J. Geophys. Res., 89, 4559-4585.
6. Bizzarri, A., and M. Cocco (2003), Slip-weakening behavior during the propagation of dynamic ruptures obeying rate- and state-dependent friciton laws, J Geophys. Res., 108(B8), 2373, doi:10.1029/ 2002JB002198.
7. Bizzarri, A., and M. Cocco (2005), 3D dynamic simulations of spontaneous rupture propagation governed by different constitutive laws with rake rotation allowed, Ann. Geophys., 48(2), 279-299.
8. Bizzarri, A., M. Cocco, D. J. Andrews, and E. Boschi (2001), Solving the dynamic rapture problem with different numerical approaches and constitutive laws, Geophys. J. Int., 143(3), 656-678, doi:10.1046/ j.1365-246x.2001.01363.x.
9. Blanpied, M. L., T. E. Tullis, and J. D. Weeks (1998), Effects of slip, slip rate, and shear heating on the friction of granite, J. Geophys. Res., 103(B1), 489-512, doi:10.1029/97JB02480.
10. Bouchon, M., M. P. Bonin, H. Karabulut, M. N. Toksöz, M. Dietrich, and A. Rosakis (2001), How fast is rupture during an earthquake? New insights from the 1999 Turkey earthquakes, Geophys. Res. Lett., 28(14), 2723-2726, doi:10.1029/2001GL013112.
11. Carlson, J. M., and J. S. Langer (1989), Mechanical model of an earthquake fault, Phys. Rev. A, 40, 6470-6484.
12. Chester, F. M., and J. S. Chester (1998), Ultracataclasite structure and friction processes of the Punchbowl fault, San Andreas system, California, Tectonophysics, 295, 199-221.
13. Cocco, M., and A. Bizzari (2002), On the slip-weakening behavior of rate-and-state dependent constitutive laws, Geophys. Res. Lett., 29(11), 1516, doi:10.1029/2001GL013999.
14. Cochard, A., and R. Madariaga (1994), Dynamic faulting under rate-dependent friction, Pure Appl. Geophys., 142(3-4), 419-445.
15. Cochard, A., and R, Madariaga (1996), Complexity of seismicity due to highly rate-dependent friction, J. Geophys. Res., 101, 25,321-25,336, doi:10.1029/96JB02095.
16. Daub, E. G., M. L. Manning, and J. M. Carlson (2008), Shear strain localization in elastodynamic rupture simulations, Geophys. Res. Lett., 35, L12310, doi:10.1029/2008GL033835.
17. Day, S. M. (1982), Three-dimensional simulation of spontaneous rupture: The effect of non-uniform prestress, Bull. Seismol. Soc. Am., 72, 1881-1902.
18. Dieterich, J. H. (1972), Time-dependent friction in rocks, J. Geophys. Res., 77(20), 3690-3697.
19. Dieterich, J. H. (1979), Modeling of rock friction: 1. Experimental results and constitutive equations, J. Geophys. Res., 84(B5), 2161-2168.
20. Dieterich, J. H., and B. D. Kilgore (1994), Direct observation of frictional contacts - New insights for state dependent properties, Pure Appl. Geophys., 143(1-3), 283-302.
21. Di Toro, G., D. L. Goldsby, and T. E. Tullis (2004), Friction falls towards zero in quartz rock as slip velocity approaches seismic rates, Nature, 427, 436-439.
22. Drummond, C., and J. Israelachvili (2000), Dynamic behavior of confined branched hydrocarbon lubricant fluids under shear, Macromolecules, 33, 4910-4920.
23. Dunham, E. M., and R. J. Archuleta (2004), Evidence for a supershear transient during the 2002 Denali fault earthquake, Bull. Seismol. Soc. Am., 94(6), 256-268, doi:10.1785/0120040616.
24. Dunham, E. M., and R. J. Archuleta (2005), Near-source ground motion from steady state dynamic rupture pulses, Geophys. Res. Lett., 32, L03302, doi:10.1029/2004GL021793.
25. Eyring, H. J. (1936), Viscosity, plasticity, and diffusion as examples of absolute reaction rates, J. Chem. Phys., 4, 283-291.
26. Falk, M. L., and J. S. Langer (1998), Dynamics of viscoplastic deformation in amorphous solids, Phys. Rev. E, 57(6), 7192-7205.
27. Falk, M. L., and J. S. Langer (2000), From simulation to theory in the physics of deformation and fracture, MRS Bull., 25(5), 40-45.
28. Favreau, P., I. R. Ionescu, and M. Canrpillo (1999), On dynamic sliding with rate- and state-dependent friction laws, Geophys. J. Int., 139(3), 671-678, doi:10.1046/j.1365-246x.1999.00970.x.
29. Frye, K. M., and C. Marone (2002), The effect of humidity on granular friction at room temperature, J. Geophys. Res., 107(11), 2309, doi:10.1029/2001JB000654.
30. Geubelle, P. H., and J. R. Rice (1995), A spectral method for 3-dimensional elastodynamic fracture problems, J. Mech. Phys. Solids, 43(11), 1791-1824.
31. Guatteri, M., and P. Spudich (2000), What can strong-motion data tell us about slip-weakening fault-friction laws?, Bull. Seismol. Soc. Am., 90, 98-116, doi:10.1785/0119990053.
32. Guatteri, M., P. Spudich, and G. C. Beroza (2001), Inferring rate and state friction parameters from rupture models of the 1995 Hyogo-ken Nambu (Kobe) earthquake, J. Geophys. Res., 106(B11), 26,511-26,521, doi:10.1029/2001JB000294.
33. Harris, R. A., and S. M. Day (1993), Dynamics of fault interaction: parallel strike-slip faults, J. Geophys. Res., 98, 4461-4472.
34. Heaton, T. H. (1990), Evidence for and implications of self-healing pulses of slip in earthquake rupture, Phys. Earth Planet. Inter, 64(1), 1-20.
35. Hickman, S. H. (1991), Stress in the lithosphere and the strength of active faults, Rev. Geophys., 29, 759-775.
36. Hirose, T., and T. Shimamoto (2005), Growth of molten zone as a mechanism of slip weakening of simulated faults in gabbro during fricitonal melting, J. Geophys. Res., 110(B5), B05202, doi:10.1029/2004JB003207.
37. Ida, Y. (1972), Cohesive force across the tip of a longitudinal-shear crack and Griffith's specific surface energy, J. Geophys. Res., 77(20), 3796-3805.
38. Ide, S., and M. Takeo (1997), Determination of constitutive relations of fault slip based on seismic wave analysis, J. Geophys. Res., 102(B12), 27,379-27,391, doi:10.1029/97JB02675.
39. Kanamori, H., and T. H. Heaton (2000), Microscopic and macroscopic physics of earthquakes, in Geocomplexity and the Physics of Earthquakes, Geophys. Monogr. Ser., vol. 120, edited by J. B. Rundle, D. L. Turcotte, and W. Klein, pp. 147-163, AGU, Washington, D. C.
40. Lachenbruch, A. H. (1980), Frictional heating, fluid pressure, and the resistance to fault motion, J. Geophys. Res., 85(B11), 6097-6112.
41. Langer, J. S. (2009), Shear-transformation-zone theory of plastic deformation near the glass transition, Phys. Rev. E, 77, 021502, doi:10.1103/PhysRevE.77.021502.
42. Lapusta, N., and J. R. Rice (2003a), Nucleation and early seismic propagation of small and large events in a crustal earthquake model, J. Geophys. Res., 108(134), 2205, doi:10.1029/2001JB000793.
43. Lapusta, N., and J. R. Rice (2003b), Low-heat and low-stress operation in earthquake models of statically strong but dynamically weak faults, Eos Trans. AGU, 84(46), Fall Meet. Suppl., Abstract S51B-02.
44. Lapusta, N., J. R. Rice, Y. Ben-Zion, and G. Zheng (2000), Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction, J. Geophys. Res., 105(B10), 23,765-23,789, doi:10.1029/2000JB900250.
45. Lemaitre, A. (2002), Rearrangements and dilatancy for sheared dense materials, Phys. Rev. Lett., 89(19), 195503, doi:10.1103/ PhysRevLett. 89.195503.
46. Lemaitre, A., and J. M. Carlson (2004), Boundary lubrication with a glassy interface, Phys. Rev. E, 69(6), 061611, doi:10.1103/ PhysRevE. 69.061611.
47. Li, Y.-G., J. E. Vidale, S. M. Day, D. D. Oglesby, and E. Cochran (2003), Postseismic fault healing on the rupture zone of the 1999 M 7.1 Hector Mine, California, earthquake, Bull. Seismol. Soc. Am, 93, 854-869, doi:10.1785/0120020131.
48. Lois, G., A. Lemaitre, and J. M. Carlson (2005), Numerical tests of constitutive laws for dense granular flows, Phys. Rev. E, 72, 051303, doi:10.1103/PbysRevE.72.051303.
49. Madariaga, R., K. B. Olsen, and R. J. Archuleta (1998), Modeling dynamic rupture in a 3D earthquake fault model, Bull. Seismol. Soc. Am., 88, 1182-1197.
50. Mair, K., and C. Marone (1999), Friction of simulated fault gouge for a wide range of velocities and normal stresses, J. Geophys. Res., 104(B12), 28,899-28,914, doi:10.1029/1999JB900279.
51. Manning, M. L., J. S. Langer, and J. M. Carlson (2007), Strain localization in a shear transformation zone model for amorphous solids, Phys. Rev. E, 76(5), 056106, doi:10.1103/PhysRevE.76.056106.
52. Marone, C. (1998), Laboratory-derived friction laws and their application to seismic faulting, Annu. Rev. Earth Planet. Sci., 26, 643-696.
53. Marone, C., and B. Kilgore (1993), Scaling of the critical slip distance for seismic faulting with shear strain in fault zones, Nature, 362(6421), 618-621.
54. Marone, C., J. E. Vidale, and W. Ellsworth (1995), Fault healing inferred from time dependent variations in source properties of repeating earthquakes, Geophys. Res. Lett., 22(22), 3095-3098, doi:10.1029/95GL03076.
55. Morgan, J. K., and M. S. Boettcher (1999), Numerical simulations of granular shear zones using the distinct element method: 1. Shear zone kinematics and the micromechanics of localization, J. Geophys,. Res., 104(132), 2703-2720, doi:10.1029/1998JB900056.
56. Nielsen, S. B., and J. M. Carlson (2000), Rupture pulse characterization: Self-healing, self-similar, expanding solutions in a continuum model of fault dynamics, Bull. Seismol. Soc. Am., 90, 1480-1497, doi:10.1785/0120000021.
57. Nielsen, S. B., J. M. Carlson, and K. B. Olsen (2000), Influence of friction and fault geometry on earthquake rupture, J. Geophys. Res., 105(133), 6069-6088, doi:10.1029/1999JB900350.
58. O'Hara, K., K. Mizoguchi, T. Shimamoto, and J. C. Hower (2006), Experimental frictional heating of coal gouge at seismic slip rates: Evidence for devolotization and thermal pressurization of gouge fluids, Tectonophysics, 424, 109-119, doi:10.1016/jtecto.2006.07.007.
59. Okubo, P. (1989), Dynamic rupture modeling with laboratory-derived constitutive relations, J. Geophys. Res., 94(B9), 12,321-12,335.
60. Perrin, G., J. R. Rice, and G. Zheng (1995), Self-healing slip pulse on a frictional surface, J. Mech. Phys. Solids, 43, 1461-1495.
61. Rice, J. R. (1983), Constitutive relations for fault slip and earthquake instabilities, Pure Appl. Geophys., 121, 443-475.
62. Rice, J. R. (2006), Heating and weakening of faults during earthquake slip, J. Geophys. Res., 111, B05311, doi:10.1029/2005JB004006.
63. Rice, J. R., and A. L. Ruina (1983), Stability of steady frictional slipping, J. Appl. Mach., 50, 343-349.
64. Rice, J. R., N. Lapusta, and K. Ranjith (2001), Rate and state dependent friction and the stability of sliding between elastically deformable solids, J. Mech. Phys. Solids, 49, 1865-1898.
65. Rosakis, A. J., O. Samudrala, and D. Coker (1999), Cracks faster than the shear wave speed, Science, 284, 1337-1340.
66. Ruina, A. L. (1980), Friction laws and instabilities: A quasistatic analysis of some dry frictional behavior, Ph.D. thesis, Brown Univ.y, Providence, R. I.
67. Ruina, A. L. (1983), Slip instability and state variable friction laws, J. Geophys. Res., 88, 10,359-10,370.
68. Scott, G. D., and D. M. Kilgour (1969), The density of random close packing of spheres, J. Phys. D: Appl. Phys., 2, 863-866, doi:10.1088/0022-3727/2/6/311.
69. Segall, P., and J. R. Rice (1995), Ditatancy, compaction, and slip instability of a fluid-infiltrated fault, J. Geophys. Res., 100(B11), 22,155-22,171, doi:10.1029/95JB02403.
70. Shaw, B. E., and J. R. Rice (2000), Existence of contiuum complexity in the elastodynamics of repeated fault ruptures, J. Geophys. Res., 105(B10), 23,791-23,810, doi:10.1029/2000JB900203.
71. Sibson, R. H. (1994), An assessment of field evidence for "Byerlee" friction, in Faulting, Friction and Earthquake Mechanics, Part 1, pp. 645-662, Birkhaeuser, Basel, Switzerland.
72. Sleep, N. H. (1995), Ductile creep, compaction, and rate and state dependent friction within major fault zones, J. Geophys. Res., 100(B7), 13,065-13,080, doi:10.1029/94JB03340.
73. Tsutsumi, A., and T. Shimamoto (1997), High-velocity frictional properties of gabbro, Geophys. Res. Lett., 24(6), 699-702, doi:10.1029/97GL00503.
74. Tullis, T. E., and D. L. Goldsby (2003), Flash melting of crustal rocks at almost seismic slip rates, Eos Trans. AGU, 84(46), Fall Meet. Suppl., Abstract S51B-05.
75. Zheng, G., and J. R. Rice (1998), Conditions under which velocity-weakening friction allows a self-healing versus a crack-like mode of rupture, Bull. Seismol. Soc. Am., 88, 1466-1483.