eprintid: 1413 rev_number: 15 eprint_status: archive userid: 2 dir: disk0/00/00/14/13 datestamp: 2015-02-23 13:05:25 lastmod: 2017-02-08 12:21:35 status_changed: 2015-04-27 12:10:51 type: article metadata_visibility: show creators_name: Gomberg, Joan creators_name: Reasenberg, Paul creators_name: Cocco, Massimo creators_name: Belardinelli, M. E. corp_creators: U.S. Geological Survey, Memphis, Tennessee, USA corp_creators: U.S. Geological Survey, Menlo Park, California, USA corp_creators: Istituto Nazionale di Geofisica e Vulcanologia, Rome, Italy corp_creators: Settore di Geofisica, Dipartimento di Fisica, Universita´ di Bologna, Bologna, Italy title: A frictional population model of seismicity rate change ispublished: pub subjects: SS divisions: EPOS-P full_text_status: none abstract: We study models of seismicity rate changes caused by the application of a static stress perturbation to a population of faults and discuss our results with respect to the model proposed by Dieterich (1994). These models assume a distribution of nucleation sites (e.g., faults) obeying rate-state frictional relations that fail at constant rate under tectonic loading alone, and predicts a positive static stress step at time t0 will cause an immediate increased seismicity rate that decays according to Omori’s law. We show one way in which the Dieterich model may be constructed from simple general ideas, illustrated using numerically computed synthetic seismicity and mathematical formulation. We show that seismicity rate changes predicted by these models (1) depend on the particular relationship between the clock-advanced failure and fault maturity, (2) are largest for the faults closest to failure at t0, (3) depend strongly on which state evolution law faults obey, and (4) are insensitive to some types of population heterogeneity. We also find that if individual faults fail repeatedly and populations are finite, at timescales much longer than typical aftershock durations, quiescence follows a seismicity rate increase regardless of the specific frictional relations. For the examined models the quiescence duration is comparable to the ratio of stress change to stressing rate ∆τ/τ, which occurs after a time comparable to the average recurrence interval of the individual faults in the population and repeats in the absence of any new load perturbations; this simple model may partly explain observations of repeated clustering of earthquakes. date: 2005-04-22 date_type: published publication: Journal of Geophysical Research volume: 110 number: B5 publisher: American Geophysical Union pagerange: 1-10 id_number: doi:10.1029/2004JB003404 refereed: TRUE issn: 0148-0227 official_url: http://dx.doi.org/10.1029/2004JB003404 access_IS-EPOS: limited owner: Publisher citation: Gomberg, Joan and Reasenberg, Paul and Cocco, Massimo and Belardinelli, M. E. (2005) A frictional population model of seismicity rate change. Journal of Geophysical Research, 110 (B5). pp. 1-10. DOI: https://doi.org/10.1029/2004JB003404