The Conversion Relationship between the Local Earthquake Magnitude and Surface Wave Magnitude in the Inner Mongolia Digital Seismic Network
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摘要
Using 116 earthquakes over M_L3.8 in the Inner Mongolia region from 2008 to 2015, the local earthquake magnitude M_L and surface wave magnitude M_S are remeasured. Based on norm linear regression(SR1 and SR2) and norm(OR) orthogonal regression method, we established the conversion relationship between M_L and M_S. The results were tested with Gaussian disturbance. The result shows that the orthogonal regression method(OR) result has the best fitting curve, and the conversion relation is M_S=0.96 M_L-0.10. The difference between our result and Guo Lücan's(M_S=1.13 M_L-1.08) may be caused by regional tectonic characteristics. M_(S Inner Mongolia) value is significantly higher than the M_(S empirical) value, with an average difference of 0.23, the difference distribution of empirical relation and the rectified relation is in the range of 0.2-0.3.
Using 116 earthquakes over M_L3.8 in the Inner Mongolia region from 2008 to 2015, the local earthquake magnitude M_L and surface wave magnitude M_S are remeasured. Based on norm linear regression(SR1 and SR2) and norm(OR) orthogonal regression method, we established the conversion relationship between M_L and M_S. The results were tested with Gaussian disturbance. The result shows that the orthogonal regression method(OR) result has the best fitting curve, and the conversion relation is M_S=0.96 M_L-0.10. The difference between our result and Guo Lücan's(M_S=1.13 M_L-1.08) may be caused by regional tectonic characteristics. M_(S Inner Mongolia) value is significantly higher than the M_(S empirical) value, with an average difference of 0.23, the difference distribution of empirical relation and the rectified relation is in the range of 0.2-0.3.
Using 116 earthquakes over M_L3.8 in the Inner Mongolia region from 2008 to 2015, the local earthquake magnitude M_L and surface wave magnitude M_S are remeasured. Based on norm linear regression(SR1 and SR2) and norm(OR) orthogonal regression method, we established the conversion relationship between M_L and M_S. The results were tested with Gaussian disturbance. The result shows that the orthogonal regression method(OR) result has the best fitting curve, and the conversion relation is M_S=0.96 M_L-0.10. The difference between our result and Guo Lücan's(M_S=1.13 M_L-1.08) may be caused by regional tectonic characteristics. M_(S Inner Mongolia) value is significantly higher than the M_(S empirical) value, with an average difference of 0.23, the difference distribution of empirical relation and the rectified relation is in the range of 0.2-0.3.
引文
Cao Gang.Earthquake Research in Inner Mongolia [M].Beijing:Seismological Press,2001(in Chinese).
Carroll R.J.,Ruppert D.The use and misuse of orthogonal regression in linear errors-in-variables models [J].The American Statistician,1996,50(1):1-6.
Chen Yuntai,Liu Rruifeng.Earthquake magnitude [J].Seismological and Geomagnetic Observation and Research,2004,25(6):1-12(in Chinese with English abstract).
Chen Yuntai,Wu Zhongliang,Wang Peide et al.Digital Seismology [M].Beijing:Seismological Press,2000.1-30 (in Chinese).
Draper N.R.,Smith H.Applied Regression Analysis [M].New York:John Wiley & Sons,1998.100-125.
Fuller W.A.Measurement Error Models [M].New York:John Wiley & Sons,1987.20-30.
Gutenberg B.Amplitude of surface waves and magnitude of shallow earthquakes [J].Bull Seism Soc Am,1945a,35∶3-12.
Gutenberg B.Amplitudes of P,PP,and S and magnitude of shallow earthquakes [J].Bull Seism Soc Am,1945b,35:57-69.
Huang Jie,Cai Xijie,Lin Zunqi.A symmetric linear fitting data processing method [J].Measurement Technology,2000,(5):47-49 (in Chinese with English abstract).
Jiang Hui,Tang Lihua,Liang Haihua.Exploration on the applied issues of regressive analysis method in the seismic sciences [J].South China Journal of Seismology,2006,26(3):1-7(in Chinese with English abstract).
Li Xiongjun.Comparison of several linear regression methods [J].Measurement Technology,2005b,(8):52-54(in Chinese with English abstract).
Li Xiongjun.The least squares linear regression in the X amnd Y directions [J].Measurement Technology,2005a,(1):50-52(in Chinese with English abstract).
Liu Guohua,Kan Dan and Wang Lijun.Analyzing the magnitude ML and MS for seismic data in Yunnan [J].Seismological and Geomagnetic Observation and Research,2006,27(6):13-17(in Chinese with English abstract).
Liu Ruifeng,Chen Yuntai,Peter Bormann et al.Comparison between earthquake magnitudes determined by China Seismograph Network and U.S.Seismograph Network (Ⅱ):Surface wave magnitude [J].Acta Seismologica Sinica,2006,28(1):1-7(in Chinese with English abstract).
Liu Ruifeng,Chen Yuntai,Ren Xiao et al.Comparison between different earthquake magnitudes determined by China Seismograph Network [J].Acta Seismologica Sinica,2007,29(5):467-476(in Chinese with English abstract).
Liu Ruifeng,Chen Yuntai,Ren Xiao et al.Determination of Magnitude [M].Beijing,Seismological Press,2015(in Chinese).
Liu Ruifeng.Earthquake Parameter [M].Beijing,Seismological Press,2003.7-15(in Chinese).
Liu Wei,Wang Peilin.Studies on the weighed linear regression [J].Journal of Ningxia Institute of Technology (Natural Science),1994,6(3-4):63-67(in Chinese with English abstract).
Madansky A.The fitting of straight lines when both variables are subject to error [J].J Amer Statist Assoc,1959,54:173-205.
Ren Kexin,Liu Ruifeng,Zhang Liwen et al.Comparison between the IASPEI new standard magnitude scales and the tradition standard magnitude scales of China [J].Seismological and Geomagnetic Observation and Research,2008,29(5):16-21(in Chinese with English abstract).
Sun Yanqing.Two problems on least-squares fit [J].Journal of Hanzhong Teachers College (Natural Science),2002,20(1):58-61(in Chinese with English abstract).
The State Standard of the People?s Republic of China.The Provision of Earthquake Magnitude (GB17740-2017) [S].Beijing:Standardization Administration,PRC,2017(in Chinese).
Wang Suyun,Wang Jian,Yu Yaxiang et al.The empirical relation between ML and MS based on Bulletin of Seismological Observations of Chinese Stations [J].Earthquake Research in China,2010,26(1):14-22(in Chinese with English abstract).
Wu Lunlin,Wang Zhezhu,Li Shuhua.Applications and analysis of directional selection of linear fitting [J].Journal of Shaanxi Normal University (Natural Science Edition),1992,20(3):72-75(in Chinese with English abstract).
Xie Zhuojuan,Lü Ruejun,Peng Yanju et al.Study on the empirical relations between surface wave magnitude and local earthquake magnitude in the Chinese mainland and its neighboring region [J].Crustal Structure and Crustal Stress Collected Works,2012,24:74-88(in Chinese with English abstract).
Yang Jingqiang,Yang Zhousheng,Cai Mingjun et al.Study on the ML and MS of conversation in the Yunnan Regional Digital Networks [J].Earthquake Research in China,2013,29(4):513-521(in Chinese with English abstract).
Zhang Cheng.The determination of the magnitude in northwest region [J].Seismological and Geomagnetic Observation and Research,1981,2(3):17-24(in Chinese with English abstract).
Zhang Hongzhi,Diao Guiling,Zhao Mingchun et al.Discussion on relation between different earthquake magnitude scales and effect of seismic station site on magnitude estimation [J].Earthquake Research in China,2007,23(2):141-146(in Chinese with English abstract).
2Guo Lücan,1971. The empirical relationship between local magnitude ML and surface wave magnitude MSin North China. In:Proceedings of the China National Earthquake Conference,1971. 1-10.
Carroll R.J.,Ruppert D.The use and misuse of orthogonal regression in linear errors-in-variables models [J].The American Statistician,1996,50(1):1-6.
Chen Yuntai,Liu Rruifeng.Earthquake magnitude [J].Seismological and Geomagnetic Observation and Research,2004,25(6):1-12(in Chinese with English abstract).
Chen Yuntai,Wu Zhongliang,Wang Peide et al.Digital Seismology [M].Beijing:Seismological Press,2000.1-30 (in Chinese).
Draper N.R.,Smith H.Applied Regression Analysis [M].New York:John Wiley & Sons,1998.100-125.
Fuller W.A.Measurement Error Models [M].New York:John Wiley & Sons,1987.20-30.
Gutenberg B.Amplitude of surface waves and magnitude of shallow earthquakes [J].Bull Seism Soc Am,1945a,35∶3-12.
Gutenberg B.Amplitudes of P,PP,and S and magnitude of shallow earthquakes [J].Bull Seism Soc Am,1945b,35:57-69.
Huang Jie,Cai Xijie,Lin Zunqi.A symmetric linear fitting data processing method [J].Measurement Technology,2000,(5):47-49 (in Chinese with English abstract).
Jiang Hui,Tang Lihua,Liang Haihua.Exploration on the applied issues of regressive analysis method in the seismic sciences [J].South China Journal of Seismology,2006,26(3):1-7(in Chinese with English abstract).
Li Xiongjun.Comparison of several linear regression methods [J].Measurement Technology,2005b,(8):52-54(in Chinese with English abstract).
Li Xiongjun.The least squares linear regression in the X amnd Y directions [J].Measurement Technology,2005a,(1):50-52(in Chinese with English abstract).
Liu Guohua,Kan Dan and Wang Lijun.Analyzing the magnitude ML and MS for seismic data in Yunnan [J].Seismological and Geomagnetic Observation and Research,2006,27(6):13-17(in Chinese with English abstract).
Liu Ruifeng,Chen Yuntai,Peter Bormann et al.Comparison between earthquake magnitudes determined by China Seismograph Network and U.S.Seismograph Network (Ⅱ):Surface wave magnitude [J].Acta Seismologica Sinica,2006,28(1):1-7(in Chinese with English abstract).
Liu Ruifeng,Chen Yuntai,Ren Xiao et al.Comparison between different earthquake magnitudes determined by China Seismograph Network [J].Acta Seismologica Sinica,2007,29(5):467-476(in Chinese with English abstract).
Liu Ruifeng,Chen Yuntai,Ren Xiao et al.Determination of Magnitude [M].Beijing,Seismological Press,2015(in Chinese).
Liu Ruifeng.Earthquake Parameter [M].Beijing,Seismological Press,2003.7-15(in Chinese).
Liu Wei,Wang Peilin.Studies on the weighed linear regression [J].Journal of Ningxia Institute of Technology (Natural Science),1994,6(3-4):63-67(in Chinese with English abstract).
Madansky A.The fitting of straight lines when both variables are subject to error [J].J Amer Statist Assoc,1959,54:173-205.
Ren Kexin,Liu Ruifeng,Zhang Liwen et al.Comparison between the IASPEI new standard magnitude scales and the tradition standard magnitude scales of China [J].Seismological and Geomagnetic Observation and Research,2008,29(5):16-21(in Chinese with English abstract).
Sun Yanqing.Two problems on least-squares fit [J].Journal of Hanzhong Teachers College (Natural Science),2002,20(1):58-61(in Chinese with English abstract).
The State Standard of the People?s Republic of China.The Provision of Earthquake Magnitude (GB17740-2017) [S].Beijing:Standardization Administration,PRC,2017(in Chinese).
Wang Suyun,Wang Jian,Yu Yaxiang et al.The empirical relation between ML and MS based on Bulletin of Seismological Observations of Chinese Stations [J].Earthquake Research in China,2010,26(1):14-22(in Chinese with English abstract).
Wu Lunlin,Wang Zhezhu,Li Shuhua.Applications and analysis of directional selection of linear fitting [J].Journal of Shaanxi Normal University (Natural Science Edition),1992,20(3):72-75(in Chinese with English abstract).
Xie Zhuojuan,Lü Ruejun,Peng Yanju et al.Study on the empirical relations between surface wave magnitude and local earthquake magnitude in the Chinese mainland and its neighboring region [J].Crustal Structure and Crustal Stress Collected Works,2012,24:74-88(in Chinese with English abstract).
Yang Jingqiang,Yang Zhousheng,Cai Mingjun et al.Study on the ML and MS of conversation in the Yunnan Regional Digital Networks [J].Earthquake Research in China,2013,29(4):513-521(in Chinese with English abstract).
Zhang Cheng.The determination of the magnitude in northwest region [J].Seismological and Geomagnetic Observation and Research,1981,2(3):17-24(in Chinese with English abstract).
Zhang Hongzhi,Diao Guiling,Zhao Mingchun et al.Discussion on relation between different earthquake magnitude scales and effect of seismic station site on magnitude estimation [J].Earthquake Research in China,2007,23(2):141-146(in Chinese with English abstract).
2Guo Lücan,1971. The empirical relationship between local magnitude ML and surface wave magnitude MSin North China. In:Proceedings of the China National Earthquake Conference,1971. 1-10.