The Weibull-log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge-Knopoff Earthquake model

Physica A: Statistical Mechanics and its Applications

Volumn 388, Issue 4, 2009, Pages 483-490

  Hasumi, Tomohiro ^a   Akimoto, Takuma ^a   Aizawa, Yoji ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

Burridge Knopoff model; Interoccurrence time; Log Weibull distribution; Seismicity; Weibull distribution; Weibull log Weibull transition

Indexed keywords

DISTRIBUTION FUNCTIONS; EARTHQUAKES;

BURRIDGE-KNOPOFF MODEL; INTEROCCURRENCE TIME; LOG-WEIBULL DISTRIBUTION; SEISMICITY; WEIBULL;

WEIBULL DISTRIBUTION;

EID: 57349120498     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2008.10.022     Document Type: Article

References (22)

1. Rundle J.B., Turcotte D.L., Shcherbakov R., Klein W., and Sammis C. Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems. Rev. Geophys. 41 (2003) 1019
2. Gutenberg B., and Richter C.F. Magnitude and energy of earthquakes. Ann. Geophys. 9 (1956) 1
3. Omori F. On the after-shocks of earthquakes. J. Coll. Sci., Imp. Univ. Tokyo 7 (1894) 111
4. Corral A. Long-term clustering, scaling, and universality in the temporal occurrence of earthquakes. Phys. Rev. Lett. 92 (2004) 108501
5. Lindman M., Jonsdottir K., Roberts R., Lund B., and Bodvarsson R. Earthquakes descaled: On waiting time distributions and scaling laws. Phys. Rev. Lett. 94 (2005) 108501
6. Shcherbakov R., Yakovlev G., Turcotte D.L., and Rundle J.B. Model for the distribution of aftershock interoccurrence times. Phys. Rev. Lett. 95 (2005) 218501
7. Bak P., Christensen K., Danon L., and Scanlon T. Unified scaling law for earthquakes. Phys. Rev. Lett 88 (2002) 178501
8. Abaimov S.G., Turcotte D.L., and Rundle J.B. Recurrence-time and frequency-slip statistics of slip events on the creeping section of the San Andreas fault in central California. Geophys. J. Int. 170 (2007) 1289
9. Hasumi T., Akimoto T., and Aizawa Y. The Weibull-Log-weibull distribution for interoccurrence times of earthquakes. Physica A 388 (2009) 491
10. T. Hasumi, C. Chen, T. Akimoto, Y. Aizawa, The Weibull-log Weibull transition of interoccurrence times for synthetic and natural earthquakes, arXiv:0808.2793
11. Akimoto T., and Aizawa Y. Large fluctuations in the stationary-nonstationary chaos transition. Prog. Theor. Phys. 114 (2005) 737
12. Burridge R., and Knopoff L. Model and theoretical seismicity. Bull. Seismol. Soc. Am. 57 (1967) 341
13. Mori T., and Kawamura H. Simulation study of earthquakes based on the two-dimensional Burridge-Knopoff model with long-range interactions. Phys. Rev. E 77 (2008) 051123
14. Xia J., Gould H., Klein W., and Rundle J.B. Near-mean-field behavior in the generalized Burridge-Knopoff earthquake model with variable-range stress transfer. Phys. Rev. E 77 (2008) 031132
15. Lippiello E., de Arcangelis L., and Godano C. Memory in self-organized criticality. Europhys. Lett. 72 (2005) 678
16. Abaimov S.G., Turcotte D.L., Shcherbakov R., and Rundle J.B. Recurrence and interoccurrence behavior of self-organized complex phenomena. Nonlinear Processes Geophys. 14 (2007) 455
17. Hasumi T. Interoccurrence time statistics in the two-dimensional Burridge-Knopoff earthquake model. Phys. Rev. E 76 (2007) 026117
18. Abe S., and Suzuki N. Scale-free statistics of time interval between successive earthquakes. Physica A 350 (2005) 588
19. Carlson J.M., Langer J.S., Shaw B.E., and Tang C. Intrinsic properties of a Burridge-Knopoff model of an earthquake fault. Phys. Rev. A 44 (1991) 884
20. Abaimov S.G., Turcotte D.L., Shcherbakov R., Rundle J.B., Yakovlev G., Goltz C., and Newman W.I. Earthquakes: Recurrence and interoccurrence times. Pure Appl. Geophys. 165 (2008) 777
21. Huillet T., and Raynaud H.F. Rare events in a log-Weibull scenario: Application to earthquake magnitude data. Eur. Phys. J. B 12 (1999) 457
22. Matthews M.V., Ellsworth W.L., and Reasenberg P.A. A Brownian model for recurrent earthquakes. Bull. Seismol. Soc. Am. 92 (2002) 2233