The Weibull–log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge–Knopoff Earthquake model
The Weibull–log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge–Knopoff Earthquake model
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DOI：
10.1016/j.physa.2008.10.022
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发表时间：
2008-08
影响因子：
3.3
通讯作者：
Tomohiro Hasumi;Takuma Akimoto;Yoji Aizawa
中科院分区：
文献类型：
--
作者：
Tomohiro Hasumi;Takuma Akimoto;Yoji Aizawa
在分析由二维Burbridge-Knopoff模型建立的合成地震目录时，我们发现相隔时间的概率分布，即相继事件之间的时间间隔，可以用威布尔分布和对数威布尔分布的叠加来清楚地描述。此外，间隔时间统计量依赖于断层的摩擦性质和刚度，表现为威布尔-对数威布尔转变，即随着震级阈值的增加，分布函数从对数-威布尔区域转变为威布尔区域。我们加强了对这一模型的新见解；该模型可以被认为是一个机械模型，提供了威布尔-对数威布尔转变的框架。
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.