Recurrent frequency-size distribution of characteristic events

Abaimov, Sergey and Tiampo, Kristy F. and Turcotte, Donald L. and Rundle, John B. (2009) Recurrent frequency-size distribution of characteristic events. Nonlinear Processes in Geophysics (16). pp. 333-350.

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Abstract

Statistical frequency-size (frequency-magnitude) properties of earthquake occurrence play an important role in seismic hazard assessments. The behavior of earthquakes is represented by two different statistics of its appearance: interoccurrent behavior in a region and recurrent behavior at a given point on a fault (or at a given fault). The interoccurrent behavior has been investigated by many authors. The interoccurrent frequency-size statistics are known to be scale invariant and obey the power-law Gutenberg-Richter distribution. However, it is expected that the recurrent behavior is different from the interoccurrent behavior. Many attempts have been made to investigate the recurrent frequency-size behavior of earthquakes but, to date, the question is open because historic earthquake sequences do not contain enough events to reconstruct the necessary statistics. To overcome this lack of data, this paper investigates the recurrent frequency-size behavior of characteristic events at a given point on a fault or at a given fault for three model systems. First, the sequences of creep events at a creeping section of the San Andreas fault are investigated. The applicability of the Brownian passage-time, lognormal, and Weibull distributions to the recurrent frequency-size statistics of slip events is tested and the Weibull distribution is found to be the best-fit distribution. To verify this result the behaviors of numerical slider-block and sand-pile models are investigated and the Weibull distribution is confirmed as the applicable distribution for these models as well. Exponents β of the best-fit Weibull distributions for the observed creep event sequences and for the slider-block model are found to have similar values ranging from 1.6 to 2.2 with the corresponding aperiodicities Cv of the applied distribution ranging from 0.47 to 0.64.

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Item Type: Article
Uncontrolled Keywords: earthquake statistics, characteristic events, recurrent frequency-size distribution, Weibull distribution, creep events
Subjects: Methodology > Method and procesing > Collective properties of seismicity > Source size distribution
Project: IS-EPOS project