基于1990-2016年中国地震台网地震目录中面波震级和全球矩心矩张量（GCMT）项目的矩震级数据，使用加权最小二乘法，给出中国地震台网面波震级与矩震级的统计关系，分析该统计关系与实际数据之间的残差分布，并将其与已有统计关系进行对比，结果表明，本研究所得统计关系式具有较好的无偏性，更能体现中国地震台网面波震级与矩震级的对应关系。
Based on the data of surface wave magnitudes from the catalog of China Seismograph Network from 1990 to 2016 and moment magnitudes data of the GCMT project, statistical relationship between surface wave magnitude of China Seismograph Network and moment magnitude is studied by weighted least squares method. We analyzed the residual error distributions of the relationships with the data used, and compared them with existing statistical relationships. The research results show that the statistical relationship obtained in this paper has good unbiasedness and can better reflect the corresponding relationship between surface wave magnitude of China Seismograph Network and moment magnitude.
2018,39(6): 31-36 收稿日期：2016-04-15
DOI：10.3969/j.issn.1003-3246.2018.06.005
基金项目：中国地震局地壳应力研究所基本科研业务费专项（项目编号：ZDJ2017-14）
作者简介：沙海军(1976-),男,硕士,副研究员,主要从事地震活动性模型、地震危险性分析等研究工作。E-mail:shjshare@163.com
参考文献：
陈宏峰,袁菲,徐志国,等. 使用中国地震台网资料快速测定中强地震矩震级[J]. 地震地磁观测与研究,2014,35(5/6):51-57.
陈培善,陈海通. 由二维破裂模式导出的地震定标律[J]. 地震学报,1989,11(4):337-350.
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.
陈运泰,刘瑞丰. 地震的震级[J]. 地震地磁观测与研究,2004,25(6):1-12.
刘瑞丰,陈运泰,Bormann P,等. 中国地震台网与美国地震台网测定震级的对比(Ⅱ)——面波震级[J]. 地震学报,2006,28(1):1-7.
翟璐媛,张立文,任克新,等. 中国地震台网数字化后与美国地震台网面波震级对比分析[J]. 地震地磁观测与研究,2015,36(2):19-25.
钟羽云,朱新运,张震峰. 不同类型地震的地震矩-震级标度关系研究[J]. 西北地震学报,2004,26(1):57-61.
Das R, Wason H R, Sharma ML. Global regression relations for conversion of surface wave and body wave magnitudes to moment magnitude[J]. Natural Hazards, 2011, 59(2):801-810.
Gutenberg B. Amplitudes of surface waves and magnitudes of shallow earthquakes[J]. Bull Seismol Soc Am, 1945, 35(1):3-12.
Gutenberg B. Amplitudes of P, PP, and S and magnitude of shallow earthquakes[J]. Bull Seismol Soc Am, 1945, 35(2):57-69.
Hanks T C, Kanamori H. A moment magnitude scale[J]. Journal of Geophysical Research:Solid Earth, 1979, 84(B5):2 348-2 350.
Kanamori H. The energy release in great earthquakes[J]. Journal of Geophysical Research, 1977, 82(20):2 981-2 987.
Purcaru G, Berckhemer H. A magnitude scale for very large earthquakes[J]. Tectonophysics, 1978, 49(3/4):189-198.
Richter C F. An instrumental earthquake magnitude scale[J]. Bull Seismol Soc Am, 1935, 25(1/2):1-32.
Wells D L, Coppersmith K J. New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement[J]. Bull Seismol Soc Am, 1994, 84(4):974-1 002.
