The Weibull–log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge–Knopoff Earthquake model

Tomohiro Hasumi, Takuma Akimoto and Yoji Aizawa

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 4, 483-490

Abstract: In analyzing synthetic earthquake catalogs created by a two-dimensional Burridge–Knopoff model, we have found that a probability distribution of the interoccurrence times, the time intervals between successive events, can be described clearly by the superposition of the Weibull distribution and the log-Weibull distribution. In addition, the interoccurrence time statistics depend on frictional properties and stiffness of a fault and exhibit the Weibull–log Weibull transition, which states that the distribution function changes from the log-Weibull regime to the Weibull regime when the threshold of magnitude is increased. We reinforce a new insight into this model; the model can be recognized as a mechanical model providing a framework of the Weibull–log Weibull transition.

Keywords: Weibull–log Weibull transition; Burridge–Knopoff model; Interoccurrence time; Seismicity; Weibull distribution; Log-Weibull distribution (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:4:p:483-490

DOI: 10.1016/j.physa.2008.10.022

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