eprintid: 1504 rev_number: 16 eprint_status: archive userid: 2 dir: disk0/00/00/15/04 datestamp: 2015-02-16 13:47:41 lastmod: 2017-02-08 12:21:42 status_changed: 2015-04-27 12:11:01 type: article metadata_visibility: show creators_name: Sornette, Anne creators_name: Sornette, Didier corp_creators: Laboratoire de Physique de la Matiere Condensee, CNRS UMR 6622 and Universite de Nice-Sophia Antipolis, Nice, France corp_creators: Department of Earth and Space Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA title: Renormalization of earthquake aftershocks ispublished: pub subjects: MP2_3 divisions: EPOS-P full_text_status: none abstract: Assume that each earthquake can produce a series of aftershock independently of its size according to its “local” Omori's law with exponent 1 + θ. Each aftershock can itself trigger other aftershocks and so on. The global observable Omori's law is found to have two distinct power law regimes, the first one with exponent p− = 1-θ for time t < t* ∼ κ^(−1/θ), where 0 < 1 − κ < 1 measures the fraction of triggered earthquakes per triggering earthquake, and the second one with exponent p+ = 1 + θ for larger times. The existence of these two regimes rationalizes the observation of Kisslinger and Jones [1991] that the exponent p seems positively correlated to the surface heat flow: a higher heat flow is a signature of a higher crustal temperature, which leads to larger strain relaxation by creep, corresponding to fewer events triggered per earthquake, i.e. to a larger κ, and thus to a smaller t*, leading to an effective measured exponent more heavily weighted toward p+ > 1. date: 1999-07-01 date_type: published publication: Geophysical Research Letters volume: 26 number: 13 publisher: American Geophysical Union pagerange: 1981-1984 id_number: doi:10.1029/1999GL900394 refereed: TRUE issn: 0094-8276 official_url: http://dx.doi.org/10.1029/1999GL900394 access_IS-EPOS: limited owner: Publisher citation: Sornette, Anne and Sornette, Didier (1999) Renormalization of earthquake aftershocks. Geophysical Research Letters, 26 (13). pp. 1981-1984. DOI: https://doi.org/10.1029/1999GL900394