Abstract: Based on the collection of six kinds of empirical relationships between magnitude and rupture parameters, the ranges of coefficients a_i and b_i(i=1,2,3,4,5,6) and their relationships are analyzed systematically.It is found that a_i and b_i are of more or less negative correlation, and the coefficients of different types have stable ranges while the stability and convergence degree are different.It suggests that more rupture parameters are involved in statistical relations, the coefficients are more stable.In the end, theoretical expression of a_i and b_i are derived from dislocation model of fault to explain the relationships between a_i and b_i and ranges of value of some parameters are presented as well.

Key words: Seismic rupture, Statistical analysis, Magnitude, Negative correlation, Attenuation

摘要： 在收集6种类型震级与地震破裂参量的统计关系式的基础上,系统分析和总结了各类统计式的系数a_i和b_i的变化范围以及二者的关系。发现a_i和b_i之间均有或强或弱的负相关性；不同类型统计式的系数有一定的变化范围,且稳定性和收敛度不同。一般来说,涉及的破裂参量越多系数越稳定。最后依据位错公式,解释了a_i和b_i的关系。

关键词: 地震破裂, 统计分析, 震级, 负相关, 衰减