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

Tomohiro Hasumi, Takuma Akimoto, Yoji Aizawa

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)483-490
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume388
Issue number4
DOIs
Publication statusPublished - 2009 Feb 15

Fingerprint

Weibull
Earthquake
earthquakes
statistics
Statistics
Weibull Distribution
Model
catalogs
stiffness
Transition State
distribution functions
intervals
Superposition
thresholds
Stiffness
Distribution Function
Fault
Probability Distribution
Interval

Keywords

  • Burridge-Knopoff model
  • Interoccurrence time
  • Log-Weibull distribution
  • Seismicity
  • Weibull distribution
  • Weibull-log Weibull transition

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistics and Probability

Cite this

The Weibull-log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge-Knopoff Earthquake model. / Hasumi, Tomohiro; Akimoto, Takuma; Aizawa, Yoji.

In: Physica A: Statistical Mechanics and its Applications, Vol. 388, No. 4, 15.02.2009, p. 483-490.

Research output: Contribution to journalArticle

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