Conditions governing the occurrence of supershear ruptures under slip-weakening friction

Journal of Geophysical Research: Solid Earth

Volumn 112, Issue 7, 2007, Pages

  Dunham, Eric M ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK; FAULT; RAYLEIGH WAVE; RESIDUAL STRENGTH; RUPTURE; SHEAR; SLIP;

EID: 34548538200     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2006JB004717     Document Type: Article

References (77)

1. Aagaard, B. T., and T. H. Heaton (2004), Near-source ground motions from simulations of sustained intersonic and supersonic fault ruptures, Bull. Seismol. Soc. Am., 94(6), 2064-2078, doi:10.1785/0120030249.
2. Aagaard, B. T., T. H. Heaton, and J. F. Hall (2001), Dynamic earthquake ruptures in the presence of lithostatic normal stresses: Implications for friction models and heat production, Bull. Seismol. Soc. Am., 91(6), 1765-1796.
3. 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.
4. Abraham, F. F., and H. Gao (2000), How fast can cracks propagate?, Phys. Rev. Lett., 84(14),3113-3116, doi:10.1103 /PhysRevLett.84.311.
5. Achenbach, J. D., and J. G. Harris (1978), Ray method for etastodynamic radiation from a slip zone of arbitrary shape, J. Geophys. Res., 83, 2283-2291.
6. Aki, K., and P. Richards (2002), Quantitative Seismology, University Science Books, Sausalito, California.
7. Andrews, D. J. (1976), Rupture velocity of plane strain shear cracks, J. Geophys. Res., 81, 5679-5687.
8. Andrews, D. J. (1985), Dynamic plane-strain shear rupture with a slip-weakening friction law calculated by a boundary integral method, Bull. Seismol. Soc. Am., 75(1), 1-21.
9. Antipov, Y. A., O. Obrezanova, and J. R. Willis (2004), A fracture criterion of "Barenblatt" type for an intersonic shear crack, Math. Mech. Solids, 9(3), 271-283, doi:10.1177/1081286504038457.
10. Archuleta, R. J. (1984), A faulting model for the 1979 Imperial Valley earthquake, J. Geophys. Res., 89, 4559-4585.
11. Barenblatt, G. I. (1962), Mathematical theory of equilibrium cracks, Adv. Appl. Mech., 7, 56-129.
12. Bernard, P., and D. Baumont (2005), Shear Mach wave characterization for kinematic fault rupture models with constant supershear rupture velocity, Geophys. J. Int., 162(2), 431-447, doi:10.1111/ j.1365-246X.2005.02611.x.
13. Bhat, H. S., R. Dmowska, G. C. P. King, Y. Klinger, and J. R. Rice (2007), Off-fault damage patterns due to supershear ruptures with application to the 2001 Mw 8.1 Kokoxili (Kunlun) Tibet earthquake, J. Geophys. Res., 112, B06301, doi:10.1029/2006JB004425.
14. Bilby, B. A., A. H. Cottrell, and K. H. Swinden (1963), The spread of plastic yield from a notch, Proc. R. Soc. London Ser. A, 272(1350), 304-314.
15. Bouchon, M., and M. Vallée (2003), Observation of long supershear rupture during the magnitude 8.1 Kunlunshan earthquake, Science, 301, 824-826, doi:10.1126/science.1086832.
16. Bouchon, M., M. N. Toksöz, H. Karabulut, M.-P. Bouin, M. Dietrich, M. Aktar, and M. Edie (2000), Seismic imaging of the 1999 Izmit (Turkey) rupture inferred from the near-fault recordings, Geophys. Res. Lett., 27(18), 3013-3016, doi:10.1029/2000GL011761.
17. Bouchon, M., M.-P. Bonin, H. Karabulut, M. N. Toksöz, M. Dietrich, and A. J. Rosakis (2001), How fast is rupture during an earthquake? New insights from the 1999 Turkey earthquakes, Geophys. Res. Lett., 28, 2723-2726, doi:10.1029/2001GL013112.
18. Bouchon, M., M. N. Toksöz, H. Karabulut, M.-P. Bouin, M. Dietrich, M. Aktar, and M. Edie (2002), Space and time evolution of rupture and faulting during the 1999 Izmit (Turkey) earthquake, Bull. Seismol. Soc. Am., 92(1), 256-266, doi:10.1785/0120000845.
19. Broberg, K. B. (1994), Intersonic bilateral slip, Geophys. J. Int., 119, 706-714.
20. Broberg, K. B. (1995), Intersonic mode II crack expansion, Arch. Mech., 47, 859-871.
21. Broberg, K. B. (1999a), Cracks and Fracture, Elsevier, New York..
22. Broberg, K. B. (1999b), Intersonic mode II crack acceleration, Fatigue Fract. Eng. Mater. Struct., 22, 17-24.
23. Burridge, R. (1973), Admissible speeds for plane-strain shear cracks with friction but lacking cohesion, Geophys. J. R. Astron. Soc., 35, 439-455.
24. Burridge, R., and J. R. Willis (1969), The self-similar problem of the expanding elliptical crack in an anisotropic solid, Proc. Camb. Philol. Soc., 66, 443-468.
25. Burridge, R., G. Conn, and L. B. Freund (1979), The stability of a rapid mode II shear crack with finite cohesive traction, J. Geophys. Res., 85, 2210-2222.
26. Campillo, M., and I. R. Ionescu (1997), Initiation of antiplane shear instability under slip dependent friction, J. Geophys. Res., 102(B9), 20,363-20,371.
27. Das, S., and K. Aki (1977), A numerical study of two-dimensional spontaneous rupture propagation, Geophys. J. R. Astron. Soc., 50, 643-668.
28. Day, S. M. (1992a), Three-dimensional finite difference simulation of fault dynamics: Rectangular faults with fixed rupture velocity, Bull. Seismol. Soc. Am., 72, 705-727.
29. Day, S. M. (1982b), Three-dimensional simulation of spontaneous rupture: The effect of nonuniform prestress, Bull. Seismol. Soc. Am., 72, 1881-1902.
30. Dugdale, D. S. (1960), Yielding of steel sheets containing slits, J. Mech. Phys. Solids, 8, 100-104.
31. Dunham, E. M. (2005), Dissipative interface waves and the transient response of a three-dimensional sliding interface with Coulomb friction, J. Mech. Phys. Solids, 53(2), 327-357, doi:10.1016/ j.jmps.2004.07.003.
32. Dunham, E. M., and R. J. Archuleta (2004), Evidence for a supershear transient during the 2002 Denali Fault earthquake, Bull. Seismol. Soc. Am., 94(6B), S256-S268, doi:10.1785/0120040616.
33. 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.
34. Dunham, E. M., P. Favreau, and J. M. Carlson (2003), A supershear transition mechanism for cracks, Science, 299, 1557-1559.
35. Ellsworth, W. L., et al. (2004), Near-field ground motion of the 2002 Denali Fault, Alaska, earthquake recorded at Pump Station 10, Earthq. Spectra, 20(3), 597-615, doi:10.1193/1.1778172.
36. Eshelby, J. D. (1969), The elastic field of a crack extending non-uniformly under general antiplane loading, J. Mech. Phys. Solids, 17, 177-199.
37. Favreau, P., M. Campillo, and I. R. Ionescu (1999), Initiation of in-plane shear instability under slip-dependent friction, Bull. Seismol. Soc. Am., 89, 1280-1295.
38. Favreau, P., M. Campillo, and I. R. Ionescu (2002), Initiation of shear instability in three-dimensional elastodynamics, J. Geophys. Res., 107, (B7), 2147, doi:10.1029/2001JB000448.
39. Fossum, A. F., and L. B. Freund (1975), Nonuniformly moving shear crack model of a shallow focus earthquake mechanism, J. Geophys. Res., 80, 3343-3347.
40. Freund, L. B. (1972a), Crack propagation in an elastic solid subjected to general loading: I. Constant rate of extension, J. Mech. Phys. Solids, 20, 129-140.
41. Freund, L. B. (1972b), Crack propagation in an elastic solid subjected to general loading: II. Non-uniform rate of extension, J. Mech. Phys. Solids, 20, 141-152.
42. Freund, L. B. (1998), Dynamic Fracture Mechanics, Cambridge Univ. Press, New York.
43. Fukuyama, E., and K. B. Olsen (2002), A condition for super-shear rupture propagation in a heterogeneous stress field, Pure Appl. Geophys., 157, 2047-2056.
44. Gao, H., Y. Huang, and F. F. Abraham (2001), Continuum and atomistic studies of intersonic crack propagation, J. Mech. Phys. Solids, 49, 2113-2132.
45. Geubelle, P. H., and J. R. Rice (1995), A spectral method for three-dimensional elastodynamic fracture problems, J. Mech. Phys. Solids, 43, 1791-1824.
46. Gonzalez, S. (2003), Foam rubber and numerical simulations of near-fault seismic directivity, Master's thesis, San Diego State Univ., San Diego, Calif..
47. Guatteri, M., and P. Spudich (2000), What can strong-motion data tell us about slip-weakening fault-friction laws, Bull. Seismol. Soc. Am., 90(1), 98-116, doi:10.1785/0119990053.
48. Guo, G., W. Yang, and Y. Huang (2003a), Intersonic crack growth under time-dependent loading, Int. J. Solids Struct., 40(11), 2757-2765, doi:10.1016/S0020-7683(03)00095-4.
49. Guo, G., W. Yang, Y. Huang, and A. J. Rosakis (2003b), Sudden deceleration or acceleration of an intersonic shear crack, J. Mech. Phys. Solids, 51, 311-331.
50. Huang, Y., and H. Gao (2001), Intersonic crack propagation: Part I. The fundamental solution, J. Appl. Mech., 68, 169-175.
51. Huang, Y., and H. Gao (2002), Intersonic crack propagation: Part II. Suddenly stopping crack, J. Appl. Mech., 69, 76-80.
52. Kostrov, B. V. (1966), Unsteady propagation of longitudinal shear cracks, J. Appl. Math. Mech., 30, 1241-1248.
53. Kostrov, B. V. (1975), On the crack propagation with variable velocity, Int. J. Fract., 11, 47-56.
54. 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), 23,765-23,790, doi:10.1029/2000JB900250.
55. Madariaga, R. (1977), High-frequency radiation from crack (stress drop) models of earthquake faulting, Geophys. J. R. Astron. Soc., 51, 625-651.
56. Madariaga, R., and K. B. Olsen (2000), Criticality of rupture dynamics in 3-D, Pure Appl. Geophys., 157, 1991-2001.
57. Madariaga, R., S. Peyrat, and K. B. Olsen (2000), Rupture dynamics in 3D: A review, in Problems in Geophysics for the New Millennium, edited by E. Boschi, G. Ekström, and A. Morelli, Editrice Compositori, Bologna, Italy.
58. Muskhelishvili, N. I. (1953), Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics, translated from Russian edited by J. R. M. Radok, Springer, New York.
59. Needleman, A. (1999), An analysis of intersonic crack growth under shear loading, J. Appl. Mech., 66(4), 847-857.
60. Nielsen, S., and R. Madariaga (2003), On the self-healing fracture mode, Bull. Seismol. Soc. Am., 93(6), 2375-2388, doi:10.1785/0120020090.
61. Obrezanova, O., and J. R. Willis (2003), Stability of intersonic shear crack propagation, J. Mech. Phys. Solids, 51(11), 1957-1970, doi:10.1016/j.jmps.2003.09.008.
62. Olsen, K. B., R. Madariaga, and R. J. Archuleta (1997), Three-dimensional dynamic simulation of the 1992 Landers earthquake, Science, 278, 834-838.
63. Pao, Y.-H., and R. R. Gajewski (1977), The generalized ray theory and transient responses of layered elastic solids, in Physical Acoustics, vol. 13, edited by W. P. Mason and R. N. Thurston, pp. 183-265, Springer, New York.
64. Ren, S., N. N. Hsu, and D. G. Eitzen (2002), Transient Green's tensor for a layered solid half-space with different interface conditions, J. Res. Natl. Inst. Stand. Technol., 107(5), 445-473.
65. Rice, J. R. (2006), Heating and weakening of faults during earthquake slip, J. Geophys. Res., 111(B5), B05311, doi:10.1029/2005JB004006.
66. Rice, J. R., and K. Uenishi (2002), Slip development and instability on a heterogeneously loaded fault with power-law slip-weakening, Eos Trans. AGU, 83(47), Fall Meet. Suppl., Abstract S42H-08.
67. Richards, P. G. (1973), The dynamic field of a growing plane elliptical shear crack, Int. J. Solids Struct., 9, 843-861.
68. Richards, P. G. (1976), Dynamic motions near an earthquake fault: A three-dimensional solution, Bull. Seismol. Soc. Am., 66, 1-32.
69. Rosakis, A. J., O. Samudrala, and D. Coker (1999), Cracks faster than the shear wave speed, Science, 284, 1337-1340.
70. Rose, L. R. F. (1991), The stress-wave radiation from growing cracks, Int. J. Fract., 17(1), 45-60.
71. Somerville, P. G., N. F. Smith, R. W. Graves, and N. A. Abrahamson (1997), Modification of empirical strong ground motion attenuation relations to include the amplitude and duration effects of rupture directivity, Seismol. Res. Lett., 68, 199-222.
72. Spudich, P., and E. Cranswick (1984), Direct observation of rupture propagation during the 1979 Imperial Valley earthquake using a short baseline accelerometer array, Bull. Seismol. Soc. Am., 74(6), 2083-2114.
73. Spudich, P., B. S. J. Chiou, R. Graves, N. Collins, and P. Somerville (2004), A formulation of directivity for earthquake sources using isochrone theory, U.S. Geol Surv. Open File Rep., 2004-1268.
74. Uenishi, K., and J. R. Rice (2003), Universal nucleation length for slip-weakening rupture instability under nonuniform fault loading, J. Geophys. Res., 108(B1), 2042, doi:10.1029/2001JB001681.
75. Uenishi, K., and J. R. Rice (2004), Three-dimensional rupture instability of a slip-weakening fault under heterogeneous loading, Eos Trans. AGU, 85(47), Fall Meet. Suppl., Abstract S13E-04.
76. Willis, J. R. (1973), Self-similar problems in elastodynamics, Phil. Trans. R. Soc. London Ser. A, 247, 435-491.
77. Xia, K., A. J. Rosakis, and H. Kanamori (2004), Laboratory earthquakes: The sub-Rayleigh-to-supershear transition, Science, 303(5665), 1859-1861, doi:10.1126/science.1094022.