The mechanisms of spatial and temporal earthquake clustering

作者: E. A. Jagla , A. B. Kolton

DOI: 10.1029/2009JB006974

关键词: Magnitude (mathematics)Simple (abstract algebra)Cluster analysisGeologyFunction (mathematics)Basis (linear algebra)Power lawRelaxation (approximation)Global statisticsStatistical physics

摘要: The number of earthquakes as a function magnitude decays power law. This trend is usually justified using spring-block models, where slips with the appropriate global statistics have been numerically observed. However, prominent spatial and temporal clustering features are not reproduced by this kind modeling. We show that when model complemented mechanism allowing for structural relaxation, realistic earthquake patterns obtained. proposed does need to include phenomenological velocity weakening friction law, traditional models do, since behavior effectively induced relaxational well. In way, provides also simple microscopic basis widely used rate-and-state equations rock friction.

参考文章(80)
Giuseppe Lacidogna, Alberto Carpinteri, Earthquakes and acoustic emission Taylor & Francis (BALKEMA). pp. 1- 199 ,(2007)
O. M. Braun, Yuri S. Kivshar, The Frenkel-Kontorova Model Concepts, Methods, and Applications Springer. ,(2004)
Leticia F. Cugliandolo, Dynamics of glassy systems arXiv: Condensed Matter. ,(2002)
Gianfranco Durin, Stefano Zapperi, The Barkhausen effect arXiv: Materials Science. pp. 181- 267 ,(2004) , 10.1016/B978-012480874-4/50014-2
R. Burridge, L. Knopoff, Model and theoretical seismicity Bulletin of the Seismological Society of America. ,vol. 57, pp. 341- 371 ,(1967)
Sébastien Moulinet, Alberto Rosso, Werner Krauth, Etienne Rolley, Width distribution of contact lines on a disordered substrate. Physical Review E. ,vol. 69, pp. 035103- ,(2004) , 10.1103/PHYSREVE.69.035103
Agnès Helmstetter, Bruce E. Shaw, Afterslip and aftershocks in the rate‐and‐state friction law Journal of Geophysical Research. ,vol. 114, ,(2009) , 10.1029/2007JB005077
André Niemeijer, Chris Marone, Derek Elsworth, Healing of simulated fault gouges aided by pressure solution: Results from rock analogue experiments Journal of Geophysical Research. ,vol. 113, ,(2008) , 10.1029/2007JB005376