利用均值寻查法精确测定福建及周边地震震源位置
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摘要
本文利用近震、地方震的各种震相的走时方程,经过变换,取得相应的二次型目标函数。对目标函数用一维寻查法、均值寻查法求出其零值点的自变量,即求得各个方程的解;再用均值寻查法求得各个方程的共解,即得震源位置。随机地处理了自2000～2003年6月福建数字地震遥测台网记录到的本省及周边地区的205个地震,定位结果显示走时残差的平均值为0.25s。在可供比较的前提下,将159个地震数据的奇异值分解法的结果与本文的结果进行对比,前者的平均走时残差为0.72s,后者为0.25s,且后者的每一个地震的走时残差都比前者小。
Using travel time equations of various phases of near and local earthquakes and through translation it was obtained the corresponding square-type object function.As for the object functions,we used firstly the 1-D and average value inquiring methods to get the zero point values of independent variables, i.e. the solutions of each equations; then used the average value inquiring method to get the common solution of every equations. The author randomly treated 205 earthquakes occurred in Fujian Province and its peripheral regions. Those earthquakes were recorded by the Fujian digital seismic network during 2000～June 2003.The location results showed that the average value of travel time remainder error is 0.25s. Under the precondition of comparison, using 159 earthquakes,compared the results between SVD method and author's method . The average travel time remainder error of the former is 0.72s, the latter is 0.25s and the travel time remainder error of the latter is less than the former in each earthquake.
Using travel time equations of various phases of near and local earthquakes and through translation it was obtained the corresponding square-type object function.As for the object functions,we used firstly the 1-D and average value inquiring methods to get the zero point values of independent variables, i.e. the solutions of each equations; then used the average value inquiring method to get the common solution of every equations. The author randomly treated 205 earthquakes occurred in Fujian Province and its peripheral regions. Those earthquakes were recorded by the Fujian digital seismic network during 2000～June 2003.The location results showed that the average value of travel time remainder error is 0.25s. Under the precondition of comparison, using 159 earthquakes,compared the results between SVD method and author's method . The average travel time remainder error of the former is 0.72s, the latter is 0.25s and the travel time remainder error of the latter is less than the former in each earthquake.
引文
丁志峰、曾融生,1990,京津唐地区震源深度分布初探,地震学报,12(3),242～247。
付淑芳、刘宝诚、李文艺编,1980,地震学教程(下册),3～6,北京:地震出版社。
范玉兰、林纪曾,1990,华南地区地震走时表的研制,华南地震,10(2),1～16。
刘福田,1984,震源位置和速度结构的联合反演(Ⅰ)———理论和方法,地球物理学报,27(2),167～175。
林仙坎,2004,关于网外地震的定位问题,中国地震,20(3),276～284。
赵仲和,1983,北京地区地震参数与速度结构的联合测定,地球物理学报,26(2),131～139。
周仕勇、许忠淮等,1999,主地震定位法分析以及1997年新疆伽师强震群高精度定位,地震学报,21(3),258～265。
朱介寿等编著,1988,地震学中的计算方法,47～49,北京:地震出版社。
付淑芳、刘宝诚、李文艺编,1980,地震学教程(下册),3～6,北京:地震出版社。
范玉兰、林纪曾,1990,华南地区地震走时表的研制,华南地震,10(2),1～16。
刘福田,1984,震源位置和速度结构的联合反演(Ⅰ)———理论和方法,地球物理学报,27(2),167～175。
林仙坎,2004,关于网外地震的定位问题,中国地震,20(3),276～284。
赵仲和,1983,北京地区地震参数与速度结构的联合测定,地球物理学报,26(2),131～139。
周仕勇、许忠淮等,1999,主地震定位法分析以及1997年新疆伽师强震群高精度定位,地震学报,21(3),258～265。
朱介寿等编著,1988,地震学中的计算方法,47～49,北京:地震出版社。
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