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

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  • Hasumi, Tomohiro
  • Akimoto, Takuma
  • Aizawa, Yoji

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.

Suggested Citation

  • Hasumi, Tomohiro & Akimoto, Takuma & Aizawa, Yoji, 2009. "The Weibull–log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge–Knopoff Earthquake model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 483-490.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:483-490
    DOI: 10.1016/j.physa.2008.10.022
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    1. Hasumi, Tomohiro & Akimoto, Takuma & Aizawa, Yoji, 2009. "The Weibull–log Weibull distribution for interoccurrence times of earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 491-498.
    2. T. Huillet & H.-F. Raynaud, 1999. "Rare events in a log-Weibull scenario - Application to earthquake magnitude data," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 12(3), pages 457-469, December.
    3. Abe, Sumiyoshi & Suzuki, Norikazu, 2005. "Scale-free statistics of time interval between successive earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 588-596.
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    Cited by:

    1. Hristopulos, Dionissios T. & Mouslopoulou, Vasiliki, 2013. "Strength statistics and the distribution of earthquake interevent times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 485-496.
    2. Hasumi, Tomohiro & Akimoto, Takuma & Aizawa, Yoji, 2009. "The Weibull–log Weibull distribution for interoccurrence times of earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 491-498.

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