eprintid: 1417 rev_number: 20 eprint_status: archive userid: 2 dir: disk0/00/00/14/17 datestamp: 2015-02-10 14:19:04 lastmod: 2017-02-08 12:21:36 status_changed: 2015-04-27 12:10:52 type: article metadata_visibility: show creators_name: Kagan, Yan Y. creators_id: ykagan@ucla.edu corp_creators: Department of Earth and Space Sciences, University of California, Los Angeles, California, USA title: Earthquake slip distribution: A statistical model ispublished: pub subjects: MP2_2 divisions: EPOS-P full_text_status: none abstract: The purpose of this paper is to interpret slip statistics in a framework of extended earthquake sources. We first discuss deformation pattern of the Earth’s surface from earthquakes and suggest that continuum versus block motion controversy can be reconciled by a model of the fractal distribution of seismic sources. We consider earthquake slip statistical distributions as they can be inferred from seismic moment-frequency relations and geometrical scaling for earthquakes. Using various assumptions on temporal earthquake occurrence, these distributions are synthesized to evaluate the accuracy of geologic fault slip determinations and to estimate uncertainties in long-term earthquake patterns based on paleoseismic data. Because the seismic moment distribution is a power law (Pareto), a major part of the total seismic moment is released by major earthquakes, M >= 10^19.5 N m (moment magnitude m >= 7); for these large earthquakes the rupture is confined to the upper brittle crust layer. We review the various moment- frequency and earthquake scaling relationships and apply them to infer the slip distribution at area- and site-specific regions. Simulating the seismic moment and strain accumulation process demonstrates that some synthetics can be interpreted as examples of a quasiperiodic sequence. We demonstrate the application of the derived slip statistical relations by analyzing the slip distribution and history of the San Andreas fault at Wrightwood, California date: 2005-03-23 date_type: published publication: Journal of Geophysical Research volume: 110 number: B5 publisher: American Geophysical Union pagerange: 1-15 id_number: doi:10.1029/2004JB003280 refereed: TRUE issn: 0148-0227 official_url: http://dx.doi.org/10.1029/2004JB003280 access_IS-EPOS: limited owner: Publisher citation: Kagan, Yan Y. (2005) Earthquake slip distribution: A statistical model. Journal of Geophysical Research, 110 (B5). pp. 1-15. DOI: https://doi.org/10.1029/2004JB003280