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地震活动参数b值与地震分维关系的再探讨
引用本文:吴小平,黄雍.地震活动参数b值与地震分维关系的再探讨[J].地震研究,1998,21(1):88-93.
作者姓名:吴小平  黄雍
作者单位:[1]云南大学地球科学系 [2]云南省地震局
摘    要:本用最大似然法对云南省几个不同地区大震发生前后时期的b值进行了扫描,并用数盒子法和相关函数法计算了相应时期内地震震中分布的容量D0,信息维D1和关联维D2的随时间变化,用最小二乘法拟合了不同地区b值与各阶段分维值的关系,发现各阶分维与b值均有正的线性相关关系,此结果与AKi从理论上推出的D=2b基本一致,本从分维与b值的物理实质对所得结果进行了分析和探讨。

关 键 词:b值  分维  相关关系  地震活动参数

RE-APPROACH TO THE RELATION BETWEEN SEISMICITY PARAMETER b VALUE AND SEISMIC FRACTAL
Abstract:In this paper, time scanning of the b values in some various regions of Yunnan Province before and after earthquakes is made using maximum likelihood method and the variations of content dimension D 0, information dimension D 1 and correlative dimension D 2 of epicentral distribution with time in corresponding periods are calculated using box number and correlation function methods, and the relation between the b values in various regions and the fractal values for each order is fit using least square method. It is found that there is positive linear correlation between the fractals for each oder and the b values, which is in keeping with D=2b deduced by AKi from theory in goneral. The results are anlysed from physical naturer of fractal and b valus.
Keywords:b value  fractal and correlation
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