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地震时间丛集的传统分形分析方法把地震事件看作是时间轴上无质量的数学点(Smaley,etal.,1987)。这些方法得到的结果主要反映了大量小地震的活动特征。本文发展了一个新的物理分形分析的筛子方法,采用一系列震级筛子来研究不同震级地震的分形特征。对华北和南加洲的研究结果表明,同一地区地震目录中不同震级范围的子集合具有近似相等的分维数,华北D=03,南加洲D=04。这种物理分形分析的新方法有助于研究不同地区地震丛集的分形特征。
The traditional fractal analysis method of seismic time clustering considers seismic events as unqualified mathematical points on the time axis (Smaley, et al., 1987). The results obtained by these methods mainly reflect the characteristics of a large number of small earthquakes. In this paper, we develop a new sieve method for fractal analysis using a series of magnitude sieves to study the fractal features of earthquakes of different magnitudes. The results of North China and Southern California show that the sub-collections of different magnitude ranges in the same area have approximately the same fractal dimension, D = 03 in North China and D = 04 in South China. This new method of physical fractal analysis helps to study the fractal features of earthquake clusters in different regions.