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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Strength statistics and the distribution of earthquake interevent times
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Strength statistics and the distribution of earthquake interevent times

机译：强度统计和地震间隔时间的分布

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摘要

The Weibull distribution is often used to model the earthquake interevent times distribution (ITD). We propose a link between the earthquake ITD on single faults with the Earth's crustal shear strength distribution by means of a phenomenological stick-slip model. For single faults or fault systems with homogeneous strength statistics and power-law stress accumulation we obtain the Weibull ITD. We prove that the moduli of the interevent times and crustal shear strength are linearly related, while the time scale is an algebraic function of the scale of crustal shear strength. We also show that logarithmic stress accumulation leads to the log-Weibull ITD. We investigate deviations of the ITD tails from the Weibull model due to sampling bias, magnitude cutoff thresholds, and non-homogeneous strength parameters. Assuming the Gutenberg-Richter law and independence of the Weibull modulus on the magnitude threshold, we deduce that the interevent time scale drops exponentially with the magnitude threshold. We demonstrate that a microearthquake sequence from the island of Crete and a seismic sequence from Southern California conform reasonably well to the Weibull model.
机译：威布尔分布通常用于对地震间隔时间分布（ITD）进行建模。我们通过现象学粘滑模型提出了单断层地震ITD与地球地壳抗剪强度分布之间的联系。对于具有均匀强度统计和幂律应力累积的单个故障或故障系统，我们获得了威布尔ITD。我们证明了相互作用时间的模量与地壳抗剪强度呈线性关系，而时间尺度是地壳抗剪强度尺度的代数函数。我们还表明，对数应力累积会导致对数Weibull ITD。我们调查由于抽样偏差，幅度临界值阈值和非均匀强度参数导致的ITD尾部与Weibull模型的偏差。假设古腾堡-里希特定律和威布尔模量在量级阈值上的独立性，我们推论事件间隔时间尺度随量级阈值呈指数下降。我们证明，来自克里特岛的微地震序列和来自南加州的地震序列与Weibull模型相当吻合。

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