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Statistical distribution of elapsed times and distances of seismic events: the case of the Southern Spain seismic catalogue

机译：地震事件的经过时间和距离的统计分布：以西班牙南部地震目录为例

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摘要

Several empiric cumulative distributions of elapsed times and distances between seismic events occurred in the Southern Iberian Peninsula from 1985 to 2000 (data extracted from the seismic catalogue of the Andalusian Institute of Geophysics) are investigated. Elapsed times and distances between consecutive seismic events of the whole catalogue, taking into account threshold magnitudes of 2.5, 3.0, 3.5 and 4.0, and of five seismic crises, without distinguishing magnitudes, are investigated. Additionally, the series of distances and elapsed times from the main event to every aftershock are also analysed for the five seismic crises. Even though a power law is sometimes a satisfactory model for the cumulative distribution of elapsed times and distances between seismic events, in some cases a fit with a Weibull distribution for elapsed times performs better. It is worth of mention that, in the case of the seismic crises, the fit achieved by the power law is sometimes improved when it is combined with a logarithmic law. The results derived might be a contribution to a better representation of the seismic activity by means of models that could be based on random-walk processes.
机译：研究了1985年至2000年伊比利亚南部半岛发生的地震事件发生时间和距离之间的几种经验累积分布（数据摘自安达卢西亚地球物理研究所的地震目录）。在不区分震级的情况下，研究了整个目录的连续地震事件之间的经过时间和距离，其中考虑了2.5、3.0、3.5和4.0以及5个地震危机的阈值震级。此外，还针对五个地震危机分析了从主要事件到每次余震的一系列距离和经过时间。即使幂律有时对于经过时间的累积分布和地震事件之间的距离来说是令人满意的模型，但在某些情况下，经过时间与魏布尔分布的拟合效果更好。值得一提的是，在地震危机的情况下，将幂定律与对数定律结合使用有时会提高幂律的拟合度。通过可以基于随机游走过程的模型，得出的结果可能有助于更好地表示地震活动。

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