Abstract: The physical significance of earthquake magnitudes must be considered when studing the quantitative relationship between the source parameters and earthquake magnitudes. In this paper, a set of stable, uniform functional relations of the source fracture parameters to magnitudes M_L and M_s have been obtained by using the data of 151 smaller earthquakes (1.5≤M_L≤3.9) preceding and following Hai Cheng and Tangshan earthquakes as well as 58 moderate and strong shallow earthquakes(4.4≤M_s≤8.2) on the earth. The relation between the magnitudes M_L, M_s and m_b is discussed as well.The alternative relationship between the source fracture parametes and earthquake magnitudes shows no proportional one-to-one correspondence between the source fracture size of earthquake (i. e fault length, fault area or dislocation etc.) and surface wave magnitude M_s and local magnitude M_L.

Key words: Source parameter, Local magnitude, Surface wave magnitude

摘要： 研究震源参数(震源断裂规模)与震级的定量关系必须考虑震级的物理含义。本文利用我国海城地震、唐山地震前后的151个小震(1.5≤M_L≤3.9)和国内外58个浅源的中、强震(4.4≤M_s≤8.2)资料,得到了一组稳定的、互相一致的震源断裂参数与震级ML和M_s的函数关系。由此讨论了常用震级M_L、M_s与m_b之间的关系。新的震源参数与震级关系表明,震源断裂规模如断裂长度、面积或错距等与面波震级M_s和近震震级M_L不存在一一对应的比例关系。

关键词: 震源参数, 近震震级, 面波震级