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Scaling properties of the Parkfield aftershock sequence

Robert Shcherbakov, Donald L. Turcotte and John B. Rundle
Scaling properties of the Parkfield aftershock sequence (in Special issue on the 2004 Parkfield earthquake and the Parkfield Earthquake Prediction Experiment, Ruth A. Harris (prefacer) and J. Ramon Arrowsmith (prefacer))
Bulletin of the Seismological Society of America (September 2006) 96 (4B): S376-S384


Aftershock sequences present a unique opportunity to study the physics of earthquakes. Important questions concern the fundamental origin of three widely applicable scaling laws: (1) Gutenberg-Richter frequency-magnitude scaling, (2) Omori's law for aftershock decay rates, and (3) Bath's law for the difference between the magnitude of the largest aftershock and a mainshock. The high-resolution Parkfield seismic network provided the opportunity for detailed studies of the aftershock sequence following the 28 September 2004, M 6.0 Parkfield earthquake. In this article it is shown that aftershocks satisfy the Gutenberg-Richter scaling relation only for relatively large times after the mainshock. There is a systematic time delay for the establishment of this scaling law. The temporal evolution of the rates of occurrence of aftershocks is quantified using the generalized Omori's law. This scaling law contains two characteristic times c and tau . The analysis suggests that the parameter c plays the role of a characteristic time for the establishment of Gutenberg-Richter scaling. This time increases systematically with a decreasing lower magnitude cutoff. The systematic time delay is attributed to a cascade of energy from long wavelengths to short wavelengths. The parameter tau is a measure of the average time until the first aftershock occurs. We find that tau slightly varies with the lower magnitude cutoff of the sequence. We also note that the largest aftershock inferred from an extrapolation of Gutenberg-Richter scaling, M 5.0, is equal to the largest observed aftershock. This scaling associated with the universal applicability of Bath's law is attributed to a constant partitioning of energy between a mainshock and its associated aftershock sequence. We also give in this article the distribution of interoccurrence times between successive aftershocks. We show that this distribution is well approximated by a nonhomogeneous Poissons process driven by the modified Omori's law. The self-consistency between interoccurrence statistics and decay rates is taken as further evidence for the applicability of our studies.

ISSN: 0037-1106
EISSN: 1943-3573
Serial Title: Bulletin of the Seismological Society of America
Serial Volume: 96
Serial Issue: 4B
Title: Scaling properties of the Parkfield aftershock sequence
Title: Special issue on the 2004 Parkfield earthquake and the Parkfield Earthquake Prediction Experiment
Author(s): Shcherbakov, RobertTurcotte, Donald L.Rundle, John B.
Author(s): Harris, Ruth A.prefacer
Author(s): Arrowsmith, J. Ramonprefacer
Affiliation: University of California, Center for Computational Science and Engineering, Davis, CA, United States
Affiliation: U. S. Geological Survey, Menlo Park, CA, United States
Pages: S376-S384
Published: 200609
Text Language: English
Publisher: Seismological Society of America, Berkeley, CA, United States
References: 36
Accession Number: 2006-075804
Categories: Seismology
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. geol. sketch map
N35°40'00" - N36°15'00", W120°45'00" - W120°15'00"
Secondary Affiliation: Arizona State University, USA, United States
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Abstract, Copyright, Seismological Society of America. Reference includes data from GeoScienceWorld, Alexandria, VA, United States
Update Code: 200643
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