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地震空间分布的多分维谱探讨
引用本文:李东升,汪秉宏.地震空间分布的多分维谱探讨[J].地震研究,1993,16(3):321-328.
作者姓名:李东升  汪秉宏
作者单位:安徽省地震局,安徽省地震局,安徽省地震局,中国科技大学近代物理系 合肥 230031,合肥 230031,合肥 230031,合肥 230026
摘    要:本文首先介绍了计算地震空间分布多分维谱的方法,如推广G—P法、固定质量法和固定半径法,然后利用推广G—P法计算理论模型(如Henon映射、随机模型)的多分维谱并分析计算中有关参数的影响(如计算样本大小和标度区确定),结果表明:度量半径r应小于研究区域的直径的1/4以减小边界效应。最后计算并分析地震资料(如1976年唐山地震地区的地震目录)。

关 键 词:多分维谱Dq  地震  空间分布

RESEARCHES ON THE MULTIFRACTALS OF EARTHQUAKESPATIAL DISTRIBUTION
Li Dongsheng,Zheng Zhaobi,Zhang Jun.RESEARCHES ON THE MULTIFRACTALS OF EARTHQUAKESPATIAL DISTRIBUTION[J].Journal of Seismological Research,1993,16(3):321-328.
Authors:Li Dongsheng  Zheng Zhaobi  Zhang Jun
Abstract:In the paper, after introducing the methods for calculating the multifractal spectra Dq of earthquake spatial distributions, such as the extended G-P method, the fixed-mass method and the fixed-radius method, we first calculate the spectra Dq of some theoretical models (for example Henon map, random model) by the extended G-P method and analyse the effects of some parameters (such as the sample of data, the scaling region) on the results, and point out that scaling radius r should be less than 1/4 of diameter of the research object fo reducing boundary effect. Finally we try to calculate the study the multi-fractalr Dq of observational seismic data (for instance the catalog of earthquakes occurred in Tangshan region, North China).
Keywords:Multifractal Spectra Da  Earthquake Spatial Distributions
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