Abstract

Aftershock sequences have been identified for 60 earthquakes (K ≥ 11) from the catalog of the Institute of Seismology, National Academy of Sciences, Kyrgyz Republic (to be referred to as KIS in what follows). The catalog includes 56 259 events that have occurred in Tien Shan and North Pamir during the period from 1980 to 2001. We have obtained some statistical characteristics of the catalog and determined its completely reported part. A map of seismic activity has been made. We determined some parameters of main events and aftershock sequences. The lowest number of aftershocks was 3 events, the largest number was 2370, the shortest duration of the aftershock process was 2 days and the longest 2046 days. The earthquake catalog and the aftershock sequences were treated from the standpoint of nonequilibrium thermodynamics using the Tsallis statistic (the parameters q and a). We sought to obtain a description of earthquakes over energy using a modified stick-slip earthquake source model and the principle of maximum entropy. This approach was used to obtain a quantitative estimate of the nonextensive Tsallis parameter q for seismicity, as well as to estimate the variation of that parameter just before a large earthquake and during aftershocks. It was shown that seismicity is a system with memory and long-range spatial correlations. The Tsallis parameter q for aftershock sequences exceeds the value of q based on the entire catalog, thus indicating an unstable state of the earthquake-generating system during aftershocks. One observed a sharp increase in the Tsallis parameter q in an area that includes the precursory area before the main event and a sharp drop at once after it, gradually returning to the average level observed before the main event.

中文翻译：

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天山和北帕米尔北部发生中度地震后余震的非扩展分析

摘要

已经确定了60次地震的余震序列（K≥11）来自吉尔吉斯共和国国家科学院地震研究所的目录（以下简称为KIS）。该目录包括1980到2001年之间在天山和北帕米尔发生的56 259个事件。我们已经获得了该目录的一些统计特征，并确定了其完整报告的部分。绘制了地震活动图。我们确定了主要事件和余震序列的一些参数。余震次数最少的是3次，最多的是2370次，余震过程的最短持续时间为2天，最长的2046天。从非平衡热力学的角度，使用Tsallis统计量处理了地震目录和余震序列（参数q和a）。我们试图使用改进的粘滑地震源模型和最大熵原理来获得关于能量之上的地震的描述。该方法用于获得非扩展的Tsallis参数q的地震定量估计，以及在大地震之前和余震期间估计该参数的变化。结果表明，地震活动性是一个具有记忆和长期空间相关性的系统。余震序列的Tsallis参数q超过整个目录的q值，因此表明余震期间地震发生系统处于不稳定状态。有人观察到Tsallis参数q急剧增加 在包括主要事件之前的先兆区域并在其之后立即急剧下降的区域中，逐渐返回到主要事件之前观察到的平均水平。