地震间隔时间的不对称性
Asymmetry in earthquake interevent time intervals
摘要：
在这里，我们集中在一个基本的统计测量地震目录，以前没有研究过，不对称的interevent时间序列（例如，反映了余震多于自发地震的趋势）。我们将不对称度量定义为正间隔时间增量减去负增量的数量与增量的总数（正加负）之间的比率。这种不对称性普遍存在于时间序列数据的非线性地球物理系统，如河流流量衰减缓慢，增长迅速。我们发现，地震间隔时间序列是显着的不对称性，其中的不对称性函数表现出显着的交叉弱不对称大滞后指数。我们认为，大森定律可以与大的不对称性在短时间间隔下的交叉，而重叠的余震序列和自发事件可以与快速衰减的不对称性以上的交叉。我们表明，最近修改的ETAS模型与两个触发过程相比，标准的ETAS模型，只有一个更好地再现不对称性。
英文摘要：
Here we focus on a basic statistical measure of earthquake catalogs that has not been studied before, the asymmetry of interevent time series (e.g., reflecting the tendency to have more aftershocks than spontaneous earthquakes). We define the asymmetry metric as the ratio between the number of positive interevent time increments minus negative increments and the total (positive plus negative) number of increments. Such asymmetry commonly exists in time series data for non-linear geophysical systems like river flow which decays slowly and increases rapidly. We find that earthquake interevent time series are significantly asymmetric, where the asymmetry function exhibits a significant crossover to weak asymmetry at large lag-index. We suggest that the Omori law can be associated with the large asymmetry at short time intervals below the crossover whereas overlapping aftershock sequences and the spontaneous events can be associated with a fast decay of asymmetry above the crossover. We show that the asymmetry is better reproduced by a recently modified ETAS model with two triggering processes in comparison to the standard ETAS model which only has one.
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