综合回归分析与中国东部六省地区Lg波衰减的测定

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. 

SYNTHETIC REGRESSION ANALYSIS METHOD AND DETERMINATION OF Lg WAVE ATTENUATION IN THE EASTERN SIX PROVINCES OF CHINA

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.