TY - JOUR

T1 - The Weibull-log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge-Knopoff Earthquake model

AU - Hasumi, Tomohiro

AU - Akimoto, Takuma

AU - Aizawa, Yoji

PY - 2009/2/15

Y1 - 2009/2/15

N2 - 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.

AB - 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.

KW - Burridge-Knopoff model

KW - Interoccurrence time

KW - Log-Weibull distribution

KW - Seismicity

KW - Weibull distribution

KW - Weibull-log Weibull transition

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U2 - 10.1016/j.physa.2008.10.022

DO - 10.1016/j.physa.2008.10.022

M3 - Article

AN - SCOPUS:57349120498

VL - 388

SP - 483

EP - 490

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 4

ER -