Realistic spatial and temporal earthquake distributions in a modified Olami-Feder-Christensen model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 4, 2010, Pages

  Jagla, E A ^a  

^a CENTRO ATÓMICO BARILOCHE   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC SURFACES; FRICTIONAL PROPERTIES; GUTENBERG-RICHTER LAW; LIMITING CASE; MAIN SHOCK; OLAMI-FEDER-CHRISTENSEN MODELS; OMORI LAW; SEISMICITY PATTERN; SLIP SURFACES; TEMPORAL AND SPATIAL CORRELATION; WEAKENING EFFECT;

FRICTION;

EARTHQUAKES;

EID: 77951705642     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.046117     Document Type: Article

References (29)

1. R. Burridge and L. Knopoff, Bull. Seismol. Soc. Am. 57, 341 (1967).
2. J. M. Carlson, J. S. Langer, and B. E. Shaw, Rev. Mod. Phys. 66, 657 (1994). 10.1103/RevModPhys.66.657
3. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987). 10.1103/PhysRevLett.59.381
4. P. Bak and C. Tang, J. Geophys. Res. 94, 15635 (1989). 10.1029/JB094iB11p15635
5. B. Gutenberg and C. F. Richter, Ann. Geophys. (C.N.R.S.) 9, 1 (1956).
6. Z. Olami, Hans Jacob S. Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992). 10.1103/PhysRevLett.68.1244
7. P. Grassberger, Phys. Rev. E 49, 2436 (1994). 10.1103/PhysRevE.49.2436
8. C. H. Scholz, The Mechanics of Earthquakes and Faulting (Cambridge University Press, Cambridge, England, 2002).
9. F. Omori, J. Coll. Sci., Imp. Univ. Tokyo 7, 111 (1894).
10. T. Utsu, Geophys. Mag. 30, 521 (1961)
11. T. Utsu, Y. Ogata, and S. Matsu'ura, J. Phys. Earth 43, 1 (1995).
12. Y. Ben-Zion, Rev. Geophys. 46, RG4006 (2008). 10.1029/2008RG000260
13. E. A. Jagla, Phys. Rev. E 76, 046119 (2007). 10.1103/PhysRevE.76.046119
14. C. Marone, Nature (London) 391, 69 (1998) 10.1038/34157
15. C. Marone, Annu. Rev. Earth Planet Sci. 26, 643 (1998). 10.1146/annurev.earth.26.1.643
16. J. H. Dieterich, J. Geophys. Res. 84, 2161 (1979) 10.1029/JB084iB05p02161
17. A. Ruina, J. Geophys. Res. 88, 10359 (1983). 10.1029/JB088iB12p10359
18. Note that if the inclusion of this randomness did not produce any qualitative change in the behavior of the system, then it would have been sensible to work in the case σ = 0.
19. J. H. Dieterich and B. D. Kilgore, Faulting, Friction, and Earthquake Mechanics, Part II (Birkhauser, Basel, 1994), pp. 283-302.
20. B. N. J. Persson, Sliding Friction, Physical Principles and Applications (Springer, Berlin, 2000).
21. Hainzl studied the inclusion of some sort of relaxation in the OFC model and obtained results for aftershocks that look quite similar to those to be shown here. I note, however, that the way in which relaxation is included in is not at the level of the fundamental dynamical variables of the system, but it is an externally prescribed rearrangement of the stresses in the system after an event, following an ad hoc dependence on time, of an exponential form. Here, the implementation is done directly in the evolution equations of the u 's, with minimal assumptions.
22. S. Hainzl, G. Zoller, and J. Kurths, J. Geophys. Res. 104, 7243 (1999) 10.1029/1998JB900122
23. S. Hainzl, G. Zoller, and J. Kurths, Nonlinear Processes Geophys. 7, 21 (2000).
24. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, England, 1995).
25. E. A. Jagla and A. B. Kolton, J. Geophys. Res. (to be published).
26. S. Zapperi, P. Cizeau, G. Durin, and H. E. Stanley, Phys. Rev. B 58, 6353 (1998). 10.1103/PhysRevB.58.6353
27. A. Rosso, P. Le Doussal, and K. Wiese, Phys. Rev. B 80, 144204 (2009). 10.1103/PhysRevB.80.144204
28. S. Hergarten and H. J. Neugebauer, Phys. Rev. Lett. 88, 238501 (2002). 10.1103/PhysRevLett.88.238501
29. E. A. Jagla (unpublished).