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震源参数之间的定量关系
引用本文:陈培善,白彤霞.震源参数之间的定量关系[J].地震学报,1991,13(4):401-411.
作者姓名:陈培善  白彤霞
作者单位:中国北京 100081 国家地震局地球物理研究所
摘    要:本文根据建立在平均二维破裂模式基础上的地震定标律,导出了地震矩 M0与各常用震级之间(1gM0-MS,ML,mb),各种震级之间(Ms-ML,Ms-mb,ML-mb),各震源参数之间(断层长度IgL,断层面积 lgS,平均错距 lgD-Ms,拐角频率 1gfc-ML)的各种常用的关系式.利用这些关系式,由一个震级值就可以估算出一系列震源参数.本文还求出了平均破裂速度 Vr=2.65km/s,总破裂时间 T(s)=0.5L(km),平均位错速度 D(t)=11.4m/s.用矩震级 Mw 度量地震的大小,有四个优点:(1)地震矩反映了形变规模的大小,因此是度量地震大小的最佳物理量.(2)它是一个绝对力学标度,对任何大小地震都有意义,可测量,且不产生饱和问题.(3)它和我们已熟悉的震级标度可衔接.(4)它是一个均匀的震级标度,适用于宽尺度的地震统计.因此,Mw 是一种值得推广的震级标度. 

关 键 词:地震定标律    震级换算关系    震源参数    矩震级

QUANTIFICATION RELATIONS BETWEEN THE SOURCE PARAMETERS
Institution:Institute of Geophysics, State Seismological Bureau, Beijing 100081, China
Abstract:The various useful source-parameter relations between seismic moment and common use magnitude lg(M0)and Ms, ML, mb; between magnitudes Ms and ML,MS and wb, ML and mb; and between magnitude Ms and lg (L) (fault length), lg (W) (fault width), lg (S) (fault area),lg (D) (average dislocation); ML and Ig (fc) (corner frequency)have been derived from the scaling law which is based on an average two-dimensional faultingmodel of a rectengularfault. A set of source-parameters can be estimated from only one magnitude by using these relations. The average rupturevelocityofthe fault Vr = 2.65 km/s, the total time of rupture T(s) = 0.35 (s/km) L (km) and the average dislocation slip rate D (t) = 114m/s are also obtained.There are four strong points to measure earthquake size with the seismic moment magnitude Mw.(1)The seismic moment magnitude shows the strain and rupture size. It is the best seal for the measurement of earthquake size.(2)It is a quantity of absolute mechanics, and has clear physical meaning. Any size of earthquake can be measured. There is no saturation. It can be used to quantify both shallow and deep earthquakes on the basis of the waves radiated.(3)It can link up the previous magnitude scales.(4)It is a uniform scale of measurement of earthquake size. It is suitable for statistics covering a broad range of magnitudes. So the seismic moment magnitude is a promising magnitude worth popularization. 
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