地震间隔时间：空间尺度与多重分形
Seismic Interevent Time: A Spatial Scaling and Multifractality
摘要：
本文考虑了在一个大小为L的孕震单元中，两个连续地震之间的时间t（L × L）的最优标度问题。对于覆盖地震区域G的网格的随机单元定义量t（LXL）。我们解决这个问题的震中在G称为tau函数或广义分形维数的多重分形特征;解决方案取决于细胞随机化的类型。我们的理论推断得到了加利福尼亚州M>2级地震活动的证实。换句话说，L = 10-100 km的等待时间分布的总体提供了关于地震活动性的多重分形性质的积极信息，这阻碍了通过标度将总体转换为统一的规律。本研究是我们对地震活动性幂/统一律分析的后续研究（见第162页（2005），1135和GJI 162（2005），899）。
英文摘要：
The optimal scaling problem for the time t(LxL) between two successive events in a seismogenic cell of size L is considered. The quantity t(LxL) is defined for a random cell of a grid covering a seismic region G. We solve that problem in terms of a multifractal characteristic of epicenters in G known as the tau-function or generalized fractal dimensions; the solution depends on the type of cell randomization. Our theoretical deductions are corroborated by California seismicity with magnitude M>2. In other words, the population of waiting time distributions for L = 10-100 km provides positive information on the multifractal nature of seismicity, which impedes the population to be converted into a unified law by scaling. This study is a follow-up of our analysis of power/unified laws for seismicity (see PAGEOPH 162 (2005), 1135 and GJI 162 (2005), 899).
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