3D dynamic simulations of spontaneous rupture propagation governed by different constitutive laws with rake rotation allowed

Annals of Geophysics

Volumn 48, Issue 2, 2005, Pages 279-299

  Bizzarri, Andrea ^a   Cocco, Massimo ^a  

^a ISTITUTO NAZIONALE DI GEOFISICA E VULCANOLOGIA   (Italy)

Author keywords

Earthquake dynamics; Friction laws; Numerical modeling; Rake rotation; Slip time history

Indexed keywords

EARTHQUAKE RUPTURE;

EID: 22944440700     PISSN: 15935213     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (65)

1. Andrews, D.J. (1973): A numerical study of tectonic stress release by underground explosions, Bull. Seismol. Soc. Am., 63 (4), 1375-1391.
2. Andrews, D.J. (1976a): Rupture propagation with finite stress in antiplane strain, J. Geophys. Res., 81 (20), 3575-3582.
3. Andrews, D.J. (1976b): Rupture velocity of plane strain shear cracks, J. Geophys. Res., 81 (32), 5679-5687.
4. 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.
5. Andrews, D.J. (1994): Dynamic growth of mixed-mode shear cracks, Bull. Seismol. Soc. Am., 84 (4), 1184-1198.
6. Andrews, D.J. (1999): Test of two methods for faulting in finite-difference calculations, Bull. Seismol. Soc. Am., 89 (4), 931-937.
7. Andrews, D.J. (2002): A fault constitutive relation accounting for thermal pressurization of pore fluid, J. Geophys. Res., 107 (B12), 2363, doi: 10.1029/2002JB001942.
8. Aochi, H., E. Fukuyama and M. Matsu'ura (2000): Selectivity of spontaneous rupture propagation on a branched fault, Geophys. Res. Lett., 27 (22), 3635-3638.
9. Archuleta, R.J. and S.M. Day (1980): Dynamic rupture in a layered medium: the 1996 Parkfield earthquake, Bull. Seismol. Soc. Am., 70, 671-689.
10. Beeler, N.M., T.E. Tullis and J.D. Weeks (1994): The roles of time and displacement in the evolution effect in rock friction, Geophys. Res. Lett., 21 (18), 1987-1990.
11. Bizzarri, A. (2003): Earthquake dynamics and fault interactions, Ph.D. Thesis in Geophysics (Università degli Studi di Bologna).
12. Bizzarri, A. and M. Cocco (2003): Slip-weakening behavior during the propagation of dynamic ruptures obeying to rate- and state-dependent friction laws, J. Geophys. Res., 108 (B8), 2373, doi: 10.1029/2002JB002198.
13. Bizzarri, A. and M. Cocco (2004): Thermal pressurization in 3D dynamic spontaneous models with cohesive zone, Eos, Trans. Am. Geophys. Un., 85 (47), abstr. T23A-0572.
14. Bizzarri, A. and M. Cocco (2005a): A thermal pressurization model for the spontaneous dynamic rupture propagation on a 3D fault, Part I. Methodological approach, J. Geophys. Res. (submitted).
15. Bizzarri, A. and M. Cocco (2005b): A thermal pressurization model for the spontaneous dynamic rupture propagation on a 3D fault, Part II. Traction evolution and dynamic parameters, J. Geophys. Res. (submitted).
16. Bizzarri, A., M. Cocco, D.J. Andrews and E. Boschi (2001): Solving the dynamic rupture problem with different numerical approaches and constitutive laws, Geophys. J. Int., 144, 656-678.
17. Bouchon, M., M.-P. Bouin, H. Karabulut, N.N. Toksoz, 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 (14), 2723-2726.
18. Brodsky, E.E. and H. Kanamori (2001): Elastohydrodynamic lubrication of faults, J. Geophys. Res., 106 (B8), 16,357-16,374.
19. Burridge, R. (1973): Admissible speeds for plane-strain self-similar shear cracks with friction but lacking cohesion, Geophys. J. R. Astron. Soc., 35, 439-455.
20. Cocco, M. and A. Bizzarri (2002): On the slip-weakening behavior of rate- and state-dependent constitutive laws, Geophys. Res. Lett., 29 (11), 11,1-11,4.
21. Das, S. and K. Aki (1977a): A numerical study of two-dimensional spontaneous rupture propagation, Geophys. J. R. Astron. Soc., 50, 643-668.
22. Das, S. and K. Aki (1977b): Fault plane with barriers: a versatile earthquake model, J. Geophys. Res., 82 (36), 5658-5670.
23. Das, S. and B.V. Kostrov (1983): Breaking of a single asperity: rupture process and seismic radiation, J. Geophys. Res., 88 (B5), 4277-4288.
24. Day, S.M. (1977): Finite element analysis of seismic scattering problems, Ph.D. Thesis (University of California, San Diego).
25. Day, S.M. (1982a): Three-dimensional finite difference simulation of fault dynamics: rectangular faults with fixed rupture velocity, Bull. Seismol. Soc. Am., 72, 705-727.
26. Day, S.M. (1982b): Three-dimensional finite difference simulation of spontaneous rupture: the effect of nonuniform prestress, Bull. Seismol. Soc. Am., 72, 1881-1902.
27. Dieterich, J.H. (1979a): Modeling of rock friction, 1. Experimental results and constitutive equations, J. Geophys. Res., 84 (B5), 2161-2168.
28. Dieterich, J.H. (1979b): Modeling of rock friction, 2. Simulation of preseismic slip, J. Geophys. Res., 84 (B5), 2169-2175.
29. Dieterich, J.H. and G. Conrad (1984): Effect of humidity on time- and velocity-dependent friction in rocks, J. Geophys. Res., 89 (B6), 4196-4202.
30. Fukuyama, E. and R. Madariaga (1998): Rupture dynamics of a planar fault in a 3D elastic medium: rate- and slip-weakening friction, Bull. Seismol. Soc. Am., 88 (1), 1-17.
31. Fukuyama, E., T. Mikumo and K.B. Olsen (2003): Estimation of the critical slip-weakening distance: theoretical background, Bull. Seismol. Soc. Am., 93 (4), 1835-1840.
32. Guatteri, M. and P. Spudich (1998): Coseismic temporal changes of slip direction: the effect of absolute stress on dynamic rupture, Bull. Seismol. Soc. Am., 88 (3), 777-789.
33. 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
34. Hughes, T.J.R. (1987): The Finite Element Method - Linear Static and Dynamic Finite Element Analysis (Prentice-Hall Inc.), pp. 803.
35. 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.
36. 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.
37. Linker, M.F. and J.H. Dieterich (1992): Effects of variable normal stress on rock friction: observations and constitutive equations, J. Geophys. Res., 97 (B4), 4923-4940.
38. Madariaga, R. (1976): Dynamics of an expanding circular fault, Bull. Seismol. Soc. Am., 66, 639-666.
39. Mair, K. and C. Marone (1999): Friction of simulated fault gauge for a wide range of slip velocities and normal stresses, J. Geophys. Res., 104 (B12), 28,899-28,914.
40. Mair, K., K.M. Frye and C. Marone (2002): Influence of grain characteristic on the friction of granular shear zones, J. Geophys. Res., 107 (B10), 2219, doi: 10.1029/2001JB000516.
41. Marone, C. and B. Kilgore (1993): Scaling of the critical slip distance for seismic faulting with shear strain in fault zones, Nature, 362, 618-621.
42. Marone, C., C.B. Raleigh and C.H. Scholz (1990): Frictional behavior and constitutive modeling of simulated fault gouge, J. Geophys. Res., 95 (B5), 7007-7025.
43. Mikumo, T. and T. Miyatake (1978): Dynamical rupture process on a three-dimensional fault with non-uniform frictions and near-field seismic waves, Geophys. J. R. Astron. Soc., 54, 417-438.
44. Mikumo, T., K.B. Olsen, E. Fukuyama and Y. Yagi (2003): Stress-breakdown time and slip-weakening distance inferred from slip-velocity functions on earthquake faults, Bull. Seismol. Soc. Am., 93 (1), 264-282.
45. Ohnaka, M. (2003): A constitutive scaling law and a unified comprehension for frictional slip failure, shear fracture of intact rocks, and earthquake rupture, J. Geophys. Res., 108 (B2), 2080, doi: 10.1029/2000JB000123.
46. Ohnaka, M. and L. Shen (1999): Scaling of the shear rupture process from nucleation to dynamic propagation: implications of geometric irregularity of the rupturing surfaces, J. Geophys. Res., 104 (B1), 817-844.
47. Ohnaka, M. and T. Yamashita (1989): A cohesive zone model for dynamic shear faulting based on experimentally inferred constitutive relation and strong motion source parameters, J. Geophys. Res., 94 (B4), 4089-4104.
48. Okubo, P.G. (1989): Dynamic rupture modeling with laboratory-derived constitutive relations, J. Geophys. Res., 94 (B9), 12,321-12,335.
49. Olsen, K.B., R. Madariaga and R.J. Archuleta (1997): Three-dimensional dynamic simulation of the 1992 Landers earthquake, Science, 278, 834-838.
50. Palmer, A.C. and J.R. Rice (1973): The growth of slip surfaces in the progressive failure of over consolidated clay, Proc. R. Soc. London, Ser. A, 332, 527-548.
51. Prakash, V. (1998): Frictional response of sliding interfaces subjected to time varying normal pressure, J. Tribol., 120, 97-102.
52. Press, W.H., S.A. Teukolsky, W.T. Vetterling and B.P. Flannery (1992): Numerical Recipes in FORTRAN - The Art of Scientific Computing (Cambridge Univ. Press), 2nd edition, pp. 992.
53. Quin, H. (1990): Dynamic stress drop and rupture dynamics of the October 15, 1979 Imperial Valley, California, earthquake, Tectonophysics, 175, 93-117.
54. Ranjith, K. and J.R. Rice (1999): Stability of quasi-static slip in a single degree of freedom elastic system with rate and state dependent friction, J. Mech. Phys. Solids, 47, 1207-1218.
55. Rice, J.R. (1993): Spatio-temporal complexity of slip on a fault, J. Geophys. Res., 98, 9885-9907.
56. Rosakis, A.J., O. Samudrala and D. Coker (1999): Cracks faster than shear wave speed, Science, 284, 1337-1340.
57. Ruina, A.L. (1983): Slip instability and state variable friction laws, J. Geophys. Res., 88 (B2), 10,359-10,370.
58. Scholz, C.H. (1990): The Mechanics of Earthquakes and Faulting (Cambridge Univ. Press), pp. 439.
59. Spudich, P. (1992): On the inference of absolute stress levels from seismic radiation, Tectonophys., 211, 99-106.
60. Terzaghi, K., R.B. Peck and G. Mesri (1996): Soil Mechanics in Engineering Practice (John Wiley, Hoboken, N.J.), 3rd edition, pp. 592.
61. Tinti, E., A. Bizzarri, A. Piatanesi and M. Cocco (2004): Estimates of slip weakening distance for different dynamic rupture models, Geophys. Res. Lett., 31, L02611, doi: 10.1029/2003GL018811.
62. Tinti, E., A. Bizzarri and M. Cocco (2005): Modeling the dynamic rupture propagation on heterogeneous faults with rate- and state-dependent friction, Ann. Geophysics, 48 (2), 327-345 (this volume).
63. Virieux, J. and R. Madariaga (1982): Dynamic faulting studied by a finite difference method, Bull. Seismol. Soc. Am., 72 (2), 345-369.
64. Wang, H.F. (2000): Theory of Linear Poroelasticity (Princeton Univ. Press, Princeton, N.J.), pp. 287.
65. Xia, K., A.J. Rosakis and H. Kanamori (2004): Laboratory earthquakes: the sub-Rayleigh-to-supershear rupture transition, Science, 303, 1859-1861.