摘要
本文用最大似然法对云南省几个不同地区大震发生前后时期内的ｂ值进行了时间扫描，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。本文从分维与ｂ值的物理实质对所得结果进行了分析和探讨。
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.
出处
《地震研究》
CSCD
北大核心
1998年第1期88-93,共6页
Journal of Seismological Research
