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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, the maximum likelihood method was used to time-scan the b values in different periods before and after the occurrence of the major earthquakes in several different areas in Yunnan Province. The box-shaped method and the correlation function method were used to calculate the epicentral distribution capacity D0 and information dimension D1 And correlation dimension D2 over time, the relationship between the b value and the fractal dimension values of different regions was fitted by the least square method. It was found that each dimension fractal dimension had a positive linear correlation with the b value. Theoretically, D = 2b is basically the same. This paper analyzes and discusses the results from the physical essence of fractal dimension and b value.