综合回归分析与中国东部六省地区Lg波衰减的测定
SYNTHETIC REGRESSION ANALYSIS METHOD AND DETERMINATION OF Lg WAVE ATTENUATION IN THE EASTERN SIX PROVINCES OF CHINA
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摘要: 本文提出了具有共同斜率不同截距的多条测线的ldquo;综合回归分析rdquo;方法.设x, y满足线性关系:Y=KX+Cii=1, 2, hellip;, N则由最小二乘原理解出综合回归系数K和Ci, 及其标准差的代数表达式.选取苏、鲁、豫、皖、冀、浙六省及其附近地区, 19个地震80个台站的短周期DD-1地震仪记录.用综合回归分析法测定了ldquo;波传播速度为3.54km/s, 约1秒Lg波埃里相（LG）的滞弹性衰减系数gamma;Lg=0.00435plusmn;0.00010km-1, Lg非埃里相（MAX）的gamma;max=0.00305plusmn;0.00010km-1.前者即为介质的衰减系数;后者具有统计的意义, 可用于最大震相震级公式的建立.计算中使用了LGZ, LGH, MXZ, MXH四个震相, 各近600组振幅数据, 和555组走时数据。震中距范围约为50——1100km.Abstract: This paper proposes a synthetic regression analysis method for more than one straight lines possessing the same slope but different intercepts. If X, Ysatisfy the linear correlation:Y=KX+Ci, Ci= 1, 2, hellip;, Nthen the synthetic regression coefficients K, Ci and their standard errors may be solved for by the method of least squares.Eighty stations and ninteen earthquakes in the eastern six provinces and nearby region of China were selected. The seismographs used are short-period ink-recording instruments. The Lg wave propogation velocity was determined to be 3.54 km/s by the synthetic regression method. The anelastic attenuation coefficient is found to be 0.00435+0.00010km-1 for 1Hz Lg Airg phase, and 0.00305+0.00010km-1 for 1 Hz Lg non-Airy phase. The former coefficient is the attenuation coefficient of the medium; the latter possesses statical significance, and may be applied to the establishment of MAXmagnitude formula, aliogether 555 sets of travel-time data and nearly 600 seta of amplitude data of each of LGZ, LGH, MXZ, MXHphase were utilized. The extent of epicentral distances is about 50-1100 km.
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[1] Nuttli, O. W., Siesmic wave attenuation and .magnitude relations of eastern North America, J, reuphys. Res., 78, 876——885, 1973.
[2] Street, R. L., Scaling northeastern United States/southeastern ——Canadian earthquakes, Bull. Seism. Soc. Am., 66, 1525——1537, 1976.
[3] Bollinger, G. A., Attenuation of the Lg phase and the determination of m6 in the southeastern United States, Bull. Seism. Soc. Am., 69, 45——63, 1979.
[4] Nicolas, M., B. Massinon, P. Mechler, and M. Bouchon, Attenuation of regional phases in western Europe, Bull. Seism. Soe. Am., 72, Part A, 2089——2106, 1982.
[5] Herrmann, R. B. and O. W. Nuttli, Magnitude: the relation of ML to mbLg, Bull. Seism. Soc. Am., 72, 389——397, 1982.
[6] Nuttli, O. W., The excitation and attenuation of seismic crustal phases in Iran, Bull. Seism. Soc. Am., 70, 469——485, 1980.
[7] 葛焕称、黄才中、叶培元、陈静巧, 江苏及其邻近地区Lg波的衰减和mfg的初步测定, 地震地磁观测与研究, 4, 11——14, 1983.
[8] Dwyer, J. J., R. B. Herrmann, and O. W. Nuttli, Spatial attenuation of the Lg wave in the central United States, Bull. Seism. Soc. Am., 73, 781——796. 1983.
[9] Ewing, W. M., W. S. Jardetzky and F. Press, Elastic Waves in Layered Media, McGraw——Hill, New York, 380pp, 1957.
[10] Wahlstrom, R., Magnitude——Scaling of earthquake in Fennoscandia, Seismological Institute, Uppsala, Sweden, Report No. 3——78, 1978.
[11] 希洛夫(П. И. Шилов), 最小二乘法, 中国人民解放军测绘学院译印, 448 pp, 1955.
[12] Beth, M., The elastic waves Lg and Rg along Euroasiatic paths, Arkiv fur Geophys., 2, 295, 1954.
[13] 葛焕称、陈静巧、黄才中、陆振飞、叶培元, 苏、鲁、豫、皖地区最大震相传播特性的初步研究, 地震地磁观测与研究, 4, 15——17, 1983.
[14] 林邦慧、李志勇、魏富胜, 京津地区Q值及平均应力降的分布特征, 地球物理学报, 25, 344——351, 1982.
[15] Chen, P. S.(陈培善), O. W. Nuttli, W. Ye and J. Qin, Estimates of short——period Q values and seismic moments from coda waves for earthquakes of the Beijing and Yun——nan Regions of China, Bull. Seism. Soc. Am., 74, 1189——1207, 1984.
[16] 程德利、张裕中, 尾波观r}9与9值分布, 地震学报, 7, 398——407, 1985.[1] Nuttli, O. W., Siesmic wave attenuation and .magnitude relations of eastern North America, J, reuphys. Res., 78, 876——885, 1973.
[2] Street, R. L., Scaling northeastern United States/southeastern ——Canadian earthquakes, Bull. Seism. Soc. Am., 66, 1525——1537, 1976.
[3] Bollinger, G. A., Attenuation of the Lg phase and the determination of m6 in the southeastern United States, Bull. Seism. Soc. Am., 69, 45——63, 1979.
[4] Nicolas, M., B. Massinon, P. Mechler, and M. Bouchon, Attenuation of regional phases in western Europe, Bull. Seism. Soe. Am., 72, Part A, 2089——2106, 1982.
[5] Herrmann, R. B. and O. W. Nuttli, Magnitude: the relation of ML to mbLg, Bull. Seism. Soc. Am., 72, 389——397, 1982.
[6] Nuttli, O. W., The excitation and attenuation of seismic crustal phases in Iran, Bull. Seism. Soc. Am., 70, 469——485, 1980.
[7] 葛焕称、黄才中、叶培元、陈静巧, 江苏及其邻近地区Lg波的衰减和mfg的初步测定, 地震地磁观测与研究, 4, 11——14, 1983.
[8] Dwyer, J. J., R. B. Herrmann, and O. W. Nuttli, Spatial attenuation of the Lg wave in the central United States, Bull. Seism. Soc. Am., 73, 781——796. 1983.
[9] Ewing, W. M., W. S. Jardetzky and F. Press, Elastic Waves in Layered Media, McGraw——Hill, New York, 380pp, 1957.
[10] Wahlstrom, R., Magnitude——Scaling of earthquake in Fennoscandia, Seismological Institute, Uppsala, Sweden, Report No. 3——78, 1978.
[11] 希洛夫(П. И. Шилов), 最小二乘法, 中国人民解放军测绘学院译印, 448 pp, 1955.
[12] Beth, M., The elastic waves Lg and Rg along Euroasiatic paths, Arkiv fur Geophys., 2, 295, 1954.
[13] 葛焕称、陈静巧、黄才中、陆振飞、叶培元, 苏、鲁、豫、皖地区最大震相传播特性的初步研究, 地震地磁观测与研究, 4, 15——17, 1983.
[14] 林邦慧、李志勇、魏富胜, 京津地区Q值及平均应力降的分布特征, 地球物理学报, 25, 344——351, 1982.
[15] Chen, P. S.(陈培善), O. W. Nuttli, W. Ye and J. Qin, Estimates of short——period Q values and seismic moments from coda waves for earthquakes of the Beijing and Yun——nan Regions of China, Bull. Seism. Soc. Am., 74, 1189——1207, 1984.
[16] 程德利、张裕中, 尾波观r}9与9值分布, 地震学报, 7, 398——407, 1985.
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