发帖
雷达卡
摘要翻译：
本文以二维弹簧块体（Burridge-Knopoff）模型为基础，选取速度弱化特性作为本构摩擦定律，数值研究了地震间隔时间的统计特性。通过调整断层的动力学参数，即刚度和摩擦特性，讨论了频率分布的统计特性和叠加时间的累积分布。我们对这些模型参数进行了优化，以再现自然界中的迭代时间统计；频率分布和累积分布可以分别用幂律和Zipf-Mandelbrot型幂律来描述。在最优情况下，古腾堡-里克特定律的b值和波传播速度比与实际地震的结果一致。随着震级阈值的增大，叠加时间分布趋于指数分布。因此，除了小震级事件外，地震的时间序列是一个泊松过程，这在自然界是可以观察到的。我们发现，从二维BK（原始）模型推导出的迭代时间统计量可以有效地再现真实地震的迭代时间统计量，从而可以从迭代时间统计量的角度来认识模型的真实感。
---
英文标题：
《Interoccurrence time statistics in the two-dimensional Burridge-Knopoff
earthquake model》
---
作者：
Tomohiro Hasumi
---
最新提交年份：
2007
---
分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--
---
英文摘要：
We have numerically investigated statistical properties of the so-called interoccurrence time or the waiting time, i.e., the time interval between successive earthquakes, based on the two-dimensional (2-D) spring-block (Burridge-Knopoff) model, selecting the velocity-weakening property as the constitutive friction law. The statistical properties of frequency distribution and the cumulative distribution of the interoccurrence time are discussed by tuning the dynamical parameters, namely, a stiffness and frictional property of a fault. We optimize these model parameters to reproduce the interoccurrence time statistics in nature; the frequency and cumulative distribution can be described by the power law and Zipf-Mandelbrot type power law, respectively. In an optimal case, the b-value of the Gutenberg-Richter law and the ratio of wave propagation velocity are in agreement with those derived from real earthquakes. As the threshold of magnitude is increased, the interoccurrence time distribution tends to follow an exponential distribution. Hence it is suggested that a temporal sequence of earthquakes, aside from small-magnitude events, is a Poisson process, which is observed in nature. We found that the interoccurrence time statistics derived from the 2-D BK (original) model can efficiently reproduce that of real earthquakes, so that the model can be recognized as a realistic one in view of interoccurrence time statistics.
---
PDF链接：
https://arxiv.org/pdf/708.0372
京公网安备 11010802022788号
