|
|
 |
|||||||||||||||||
|
|||||||||||||||||
 |
|||||||||||||||||
| JOURNAL HOME | HELP | CONTACT PUBLISHER | SUBSCRIBE | ARCHIVE | SEARCH | TABLE OF CONTENTS |
LABORATOIRE D'ETUDE GÉOPHYSIQUE DE STRUCTURES PROFONDES INSTITUT DE PHYSIQUE DU GLOBE UNIVERSITÉ DE PARIS VI, 75230 PARIS CEDEX 05, France
DÉPARTEMENT DE SCIENCES PHYSIQUES DE LA TERRE UNIVERSITÉ PARIS VII, PARIS, France
Abstract
We have developed a finite difference method that is especially adapted to the study of dynamic shear cracks. We studied a number of simple earthquake source models in two and three dimensions with special emphasis on the modeling of the stress field. We compared our numerical results for semi-infinite and self-similar shear cracks with the few exact solutions that are available in the literature. We then studied spontaneous rupture propagation with the help of a maximum stress criterion. From dimensional arguments and a few simple examples, we showed that the maximum stress criterion depended on the physical dimensions of the fault. For a given maximum stress intensity, the finer the numerical mesh, the higher the maximum stress that had to be adopted. A study of in-plane cracks showed that at high rupture velocities, the numerical results did not resolve the stress concentration due to the rupture front from the stress peak associated with the shear wave propagating in front of the crack. We suggest that this is the reason why transonic rupture velocities are found in the numerical solutions of in-plane faulting when the rupture resistance is rather low. Finally, we studied the spontaneous propagation of an initially circular rupture. Two distinct modes of nucleation of the rupture were studied. In the first, a plane circular shear crack was formed instantaneously in a uniformly prestressed medium. After a while, once stress concentrations had developed around the crack edge, the rupture started to grow. In the second type of nucleation, a preexisting circular crack became unstable at time t = 0 and started to grow. The latter model appeared to us as a more realistic simulation of earthquake triggering. In this case, the initial stress was nonuniform and was the static field of the preexisting fault.
This article has been cited by other articles:
|
|
 |
|
  V. M. Cruz-Atienza, K. B. Olsen, and L. A. Dalguer Estimation of the Breakdown Slip from Strong-Motion Seismograms: Insights from Numerical Experiments Bulletin of the Seismological Society of America, December 1, 2009; 99(6): 3454 - 3469. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
The Importance of the Dynamic Source Effects on Strong Ground Motion during the 1999 Chi-Chi, Taiwan, Earthquake: Brief Interpretation of the Damage Distribution on Buildings Bulletin of the Seismological Society of America, October 1, 2004; 91(5): 1112 - 1127.
|
|
|
|
|
|
H. Aochi and R. Madariaga The 1999 Izmit, Turkey, Earthquake: Nonplanar Fault Structure, Dynamic Rupture Process, and Strong Ground Motion Bulletin of the Seismological Society of America, June 1, 2003; 93(3): 1249 - 1266. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
What Can Strong-Motion Data Tell Us about Slip-Weakening Fault-Friction Laws? Bulletin of the Seismological Society of America, February 1, 2000; 90(1): 98 - 116.
|
|
|
|
 |
|
 M. S. Breitenfeld and P. H. Geubelle Parallel Implementation of a Spectral Scheme for Simulations of 3-D Dynamic Fracture Events International Journal of High Performance Computing Applications, February 1, 2000; 14(1): 26 - 38. [Abstract] [PDF]
|
|
|
|
|
|
P. Favreau, M. Campillo, and I. R. Ionescu Initiation of in-plane shear instability under slip-dependent friction Bulletin of the Seismological Society of America, October 1, 1999; 89(5): 1280 - 1295. [Abstract] [PDF]
|
|
|
|
|
|
D. J. Andrews Test of two methods for faulting in finite-difference calculations Bulletin of the Seismological Society of America, August 1, 1999; 89(4): 931 - 937. [Abstract] [PDF]
|
|
|
|
|
|
T. Sato and H. Kanamori Beginning of earthquakes modeled with the Griffith's fracture criterion Bulletin of the Seismological Society of America, February 1, 1999; 89(1): 80 - 93. [Abstract] [PDF]
|
|
|
|
|
|
T. Inoue and T. Miyatake 3D simulation of near-field strong ground motion based on dynamic modeling Bulletin of the Seismological Society of America, December 1, 1998; 88(6): 1445 - 1456. [Abstract] [PDF]
|
|
|
|
|
|
R. Madariaga, K. Olsen, and R. Archuleta Modeling dynamic rupture in a 3D earthquake fault model Bulletin of the Seismological Society of America, October 1, 1998; 88(5): 1182 - 1197. [Abstract] [PDF]
|
|
|
|
|
|
E. Fukuyama and R. Madariaga Rupture dynamics of a planar fault in a 3D elastic medium: Rate- and slip-weakening friction Bulletin of the Seismological Society of America, February 1, 1998; 88(1): 1 - 17. [Abstract] [PDF]
|
|
|
|
 |
|
 K. B. Olsen, R. Madariaga, and R. J. Archuleta Three-Dimensional Dynamic Simulation of the 1992 Landers Earthquake Science, October 31, 1997; 278(5339): 834 - 838. [Abstract] [Full Text]
|
|
|
|
|
|
M. Bour and M. Cara Test of a simple empirical Green's function method on moderate-sized earthquakes Bulletin of the Seismological Society of America, June 1, 1997; 87(3): 668 - 683. [Abstract] [PDF]
|
|
|
|
|
|
T. Ohminato and B. A. Chouet A free-surface boundary condition for including 3D topography in the finite-difference method Bulletin of the Seismological Society of America, April 1, 1997; 87(2): 494 - 515. [Abstract] [PDF]
|
|
|
|
|
|
M. Bouchon and D. Streiff Propagation of a shear crack on a nonplanar fault: A method of calculation Bulletin of the Seismological Society of America, February 1, 1997; 87(1): 61 - 66. [Abstract] [PDF]
|
|
|
|
|
|
K.-H. Yoon and G. A. McMechan 3D eight-order elastic finite-difference modeling of refraction and strong-motion data from the Coyote Lake region, California Bulletin of the Seismological Society of America, June 1, 1996; 86(3): 616 - 626. [Abstract] [PDF]
|
|
|
|
|
|
T. Mikumo and T. Miyatake Heterogeneous distribution of dynamic stress drop and relative fault strength recovered from the results of waveform inversion: the 1984 Morgan Hill, California, earthquake Bulletin of the Seismological Society of America, February 1, 1995; 85(1): 178 - 193. [Abstract] [PDF]
|
|
|
|
|
|
D. J. Andrews Dynamic growth of mixed-mode shear cracks Bulletin of the Seismological Society of America, August 1, 1994; 84(4): 1184 - 1198. [Abstract] [PDF]
|
|
|
|
|
|
H. FUJIWARA and K. IRIKURA High-frequency seismic wave radiation from antiplane cohesive zone model and fmax as source effect Bulletin of the Seismological Society of America, August 1, 1991; 81(4): 1115 - 1128. [Abstract] [PDF]
|
|
|
|
|
|
J.-C. GARIEL, R. J. ARCHULETA, and M. BOUCHON Rupture process of an earthquake with kilometric size fault inferred from the modeling of near-source records Bulletin of the Seismological Society of America, August 1, 1990; 80(4): 870 - 888. [Abstract] [PDF]
|
|
|
|
|
|
A. BAYLISS, K. E. JORDAN, B. J. LEMESURIER, and E. TURKEL A fourth-order accurate finite-difference scheme for the computation of elastic waves Bulletin of the Seismological Society of America, August 1, 1986; 76(4): 1115 - 1132. [Abstract] [PDF]
|
|
|
|
|
|
J. A. SNOKE, A. T. LINDE, and I. S. SACKS Apparent stress: An estimate of the stress drop Bulletin of the Seismological Society of America, April 1, 1983; 73(2): 339 - 348. [Abstract] [PDF]
|
|
|
|
|
|
S. M. DAY Three-dimensional simulation of spontaneous rupture: The effect of nonuniform prestress Bulletin of the Seismological Society of America, December 1, 1982; 72(6A): 1881 - 1902. [Abstract] [PDF]
|
|
|
|
|
|
S. M. DAY Three-dimensional finite difference simulation of fault dynamics: Rectangular faults with fixed rupture velocity Bulletin of the Seismological Society of America, June 1, 1982; 72(3): 705 - 727. [Abstract] [PDF]
|
|
| JOURNAL HOME | HELP | CONTACT PUBLISHER | SUBSCRIBE | ARCHIVE | SEARCH | TABLE OF CONTENTS |
