Fault rupture between dissimilar materials: Ill-posedness, regularization, and slip-pulse response

Journal of Geophysical Research: Solid Earth

Volumn 105, Issue B11, 2000, Pages 25891-25907

  Cochard, A ^a,b   Rice, J R ^a  

^a HARVARD UNIVERSITY   (United States)

^b LABORATOIRE DE GÉOLOGIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC PROPERTY; FAULT SLIP; FAULTING; STRESS CHANGE;

EID: 0034518080     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2000jb900230     Document Type: Article

References (51)

1. Achenbach, J. D., and H. I. Epstein, Dynamic interaction of a layer and a half-space, J. Eng. Mech. Div., EM5, 27-42, 1967.
2. Adams, G. G., Self-excited oscillations of two elastic half-spaces sliding with a constant coefficient of friction, J. Appl. Mech., 62, 867-872, 1995.
3. Adams, G. G., Steady sliding of two elastic half-spaces with friction reduction due to interface stick-slip, J. Appl. Mech., 65, 470-475, 1998.
4. Andrews, D. J., and Y. Ben-Zion, Wrinkle-like slip pulse on a fault between different materials, J. Geophys. Res., 102, 553-571, 1997.
5. Beeler, N. M., and T. E. Tullis, Self-healing slip pulses in dynamic rupture models due to velocity-dependent strength, Bull. Seismol. Soc. Am., 86, 1130-1148, 1996.
6. Ben-Zion, Y., Properties of seismic fault zone waves and their utility for imaging low-velocity structures, J. Geophys. Res., 103, 12,567-12,585, 1998.
7. Ben-Zion, Y., and D. J. Andrews, Properties and implications of dynamic rupture along a material interface, Bull. Seismol. Soc. Am., 88, 1085-1094, 1998.
8. Beroza, G. C., and T. Mikumo, Short slip duration in dynamic rupture in the presence of heterogeneous fault properties, J. Geophys. Res., 101, 22,449-22,460, 1996.
9. Bouchon, M., and D. Streiff, Propagation of a shear crack on a non-planar fault: A method of calculation, Bull. Seismol. Soc. Am., 87, 61-66, 1997.
10. Breitenfeld, M. S., and P. H. Geubelle, Numerical analysis of dynamic debonding under 2D in-plane and 3D loading, Int. J. Fract., 93, 13-38, 1998.
11. Brune, J. N., S. Brown, and P. A. Johnson, Rupture mechanism and interface separation in foam ruber models of earthquakes: A possible solution to the heat flow paradox and the paradox of large overthrusts, Tectonophysics, 218, 59-67, 1993.
12. Bureau, L., T. Baumberger, and C. Caroli, Shear response of a frictional interface to a normal load modulation, Phys. Rev. E, in press, 2000.
13. Chester, F. M., J. P. Evans, and R. L. Biegel, Internal structure and weakening mechanisms of the San Andreas Fault, J. Geophys. Res., 98, 771-786, 1993.
14. Cochard, A., and R. Madariaga, Dynamic faulting under rate-dependent friction, Pure Appl. Geophys., 142, 419-445, 1994.
15. Cochard, A., and R. Madariaga, Complexity of seismicity due to highly rate dependent friction, J. Geophys. Res., 101, 25,321-25,336, 1996.
16. Cochard, A., and J. R. Rice, A spectral method for numerical elastodynamic fracture analysis without spatial replication of the rupture event, J. Mech. Phys. Solids, 45, 1393-1418, 1997.
17. Day, S. M., Three-dimensional finite difference simulation of fault dynamics: Rectangular faults with fixed rupture velocity, Bull. Seismol. Soc. Am., 72, 705-727, 1982.
18. s, and seismicity, J. Geophys. Res., 103, 21,099-21,120, 1998.
19. Feng, R., and T. V. McEvilly, Interpretation of seismic reflection profiling data for the structure of the San Andreas fault zone, Bull. Seismol. Soc. Am., 73, 1701-1720, 1983.
20. Geubelle, P. H., and J. R. Rice, A spectral method for three-dimensional elastodynamic fracture problems, J. Mech. Phys. Solids, 43, 1791-1824, 1995.
21. Gibson, L. J., and M. F. Ashby, Cellular Solids: Structure and Properties, 2nd ed., Cambridge Univ. Press, New-York, 1999.
22. Harris, R. A., and S. M. Day, Dynamics of fault interaction: Parallel strike-slip faults, J. Geophys. Res., 98, 4461-4472, 1993.
23. Harris, R. A., and S. M. Day, Effect of a low-velocity zone on a dynamic rupture, Bull. Seismol. Soc. Am., 87, 1267-1280, 1997.
24. Heaton, T. H., Evidence for and implications of self-healing pulses of slip in earthquake rupture, Phys. Earth Planet. Inter., 64, 1-20, 1990.
25. Honig, G., and U. Hirdes, A method for the numerical inversion of Laplace transforms, J. Comput. Appl. Math., 10, 113-132, 1984.
26. Johnson, E., On the initiation of unidirectional slip, Geophys. J. Int., 101, 125-132, 1990.
27. Johnson, E., The influence of the lithospheric thickness on bilateral slip, Geophys. J. Int., 108, 151-160, 1992.
28. Lachenbruch, A. H., and J. H. Sass, Heat flow and energetics of the San Andreas fault zone, J. Geophys. Res., 85, 6185-6222, 1980.
29. Li, Y.-G., K. Aki, D. Adams, A. Hasemi, and H. K. Lee, Seismic guided waves trapped in the fault zone of the Landers, California, earthquake of 1992, J. Geophys. Res., 99, 11,705-11,722, 1994.
30. Linker, M. F., and J. H. Dieterich, Effects of variable normal stress on rock friction: Observations and constitutive equations, J. Geophys. Res., 97, 4923-4940, 1992.
31. Lippmann, H., Mechanics of bumps in coal mines: A discussion of violent deformations in the sides of roadways in coal seams, Appl. Mech. Rev., 40, 1033-1043, 1987.
32. Lomnitz-Adler, J., Model for steady state friction, J. Geophys. Res., 96, 6121-6131, 1991.
33. Magistrale, H., and C. Sanders, P-wave image of the Peninsular Ranges batholith, southern California, Geophys. Res. Lett., 22, 2549-2552, 1995.
34. Martins, J. A. C., and F. M. F. Simões, On some sources of instability/ill-posedness in elasticity problems with Coulomb's friction, in Contact mechanics, edited by M. Raous, M. Jean, and J. J. Moreau, pp. 95-106, Plenum, New York, 1995.
35. Mora, P., and D. Place, Simulation of the frictional stick-slip instability, Pure Appl. Geophys., 143, 61-87, 1994.
36. Oglesby, D. D., R. J. Archuleta, and S. B. Nielsen, earthquakes on dipping faults: The effects of broken symmetry, Science, 280, 1055-1059, 1998.
37. Olsen, K. B., R. Madariaga, and R. J. Archuleta, Three-dimensional dynamic simulation of the 1992 Landers earthquake, Science, 278, 834-838, 1997.
38. Perrin, G., J. R. Rice, and G. Zheng, Self-healing slip pulse on a frictional surface, J. Mech. Phys. Solids, 43, 1461-1495, 1995.
39. Prakash, V., Frictional response of sliding interfaces subjected to time varying normal pressures, J. of Tribol., 120, 97-102, 1998.
40. Prakash, V., and R. J. Clifton, Time resolved dynamic friction measurements in pressure-shear, in Experimental Techniques in the Dynamics of Deformable Solids, edited by K. T. Ramesh, AMD vol. 165, pp. 33-48, Appl. Mech. Div., ASME, New York, 1993.
41. Ranjith, K., and J. R. Rice, Slip dynamics at an interface between dissimilar materials, J. Mech. Phys. Solids, in press, 2000.
42. Renardy, M., Ill-posedness at the boundary for elastic solids sliding under Coulomb friction, J. of Elasticity, 27, 281-287, 1992.
43. Rice, J. R., Slip pulse at low driving stress along a frictional fault between dissimilar media, Eos Trans. AGU, 78(46), Fall Meet. Suppl., F464, 1997.
44. Richardson, E., and C. Marone, Effects of normal stress vibrations on frictional heating, J. Geophys. Res., 104, 28,859-28,878, 1999.
45. Rubin, A. M., and D. Gillard, Aftershock asymmetry/rupture directivity among central San Andreas fault microearthquakes, J. Geophys. Res., 105, 19,095-19,109, 2000.
46. Simões, F. M. F., and J. A. C. Martins, Instability and ill-posedness in some friction problems, Int. J. Eng. Sci., 36, 1265-1293, 1998.
47. Weertman, J. J., Dislocations moving uniformly on the interface between isotropic media of different elastic properties, J. Mech. Phys. Solids, 11, 197-204, 1963.
48. Weertman, J. J., Unstable slippage across a fault that separates elastic media of different elastic constants, J. Geophys. Res., 85, 1455-1461, 1980.
49. York, G., and T. Dede, Plane strain numerical modelling of mining induced seismicity through the effects of mine geometry, backfill and dyke material, on tabular reefs at great depth, in Rockbursts and Seismicity in Mines, edited by S. J. Gibowicz and S. Lasocki, pp. 167-172, A. A. Balkema, Brookfield, Vt., 1997.
50. Zheng, G., and J. R. Rice, Conditions under which velocity-weakening friction allows a self-healing versus a cracklike mode of rupture, Bull. Seismol. Soc. Am., 88, 1466-1483, 1998.
51. Zoback, M. D., et al., New evidence on the state of stress on the San Andreas fault system, Science, 238, 1105-1111, 1987.