联合采用Inglada算法和Geiger算法确定地震精确位置
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摘要
Inglada定位算法具有全局反演地震位置的优点,但只能采用均匀地壳结构求解地震位置,Geiger定位算法能够采用不均匀地壳结构进行定位,但给定的真解必须在实际解附近才能得到全局最优的震源位置。本研究结合Inglada和Geiger算法的各自优点,提出了地震定位算法的策略,即先采用Inglada算法得到接近真解的初始震源位置,然后采用Geiger算法对Inglada算法得到的解进行修改,以便得到考虑不均匀速度模型的震源位置。数值试验表明这种策略可以很好地约束地震的位置。我们将该算法应用于2008年2月11日江西瑞金ML2.3地震,得到了残差更小的地震精确位置。
Global optimal solution of earthquake location can be obtained by using Inglada algorithms,but heterogeneous earth model cannot be considered in Inglada algorithms.However,heterogeneous earth model can be considered in Geiger algorithms,but local optimal solution of earthquake location may be obtained.We combined merit of Inglada and Geiger algorithms and provided a strategy to precisely locate earthquakes,i.e.the initial global optimal solution is obtained by using Inglada algorithms first,and then the solution is refined by using heterogeneous earth model and Geiger algorithms.The test with artificial data shows robust of this strategy.We applied it to Ruijin ML2.3 earthquake(on February 11,2008 in Jianxi Province) and got accurate location of the earthquake,which has less travel time residual.
Global optimal solution of earthquake location can be obtained by using Inglada algorithms,but heterogeneous earth model cannot be considered in Inglada algorithms.However,heterogeneous earth model can be considered in Geiger algorithms,but local optimal solution of earthquake location may be obtained.We combined merit of Inglada and Geiger algorithms and provided a strategy to precisely locate earthquakes,i.e.the initial global optimal solution is obtained by using Inglada algorithms first,and then the solution is refined by using heterogeneous earth model and Geiger algorithms.The test with artificial data shows robust of this strategy.We applied it to Ruijin ML2.3 earthquake(on February 11,2008 in Jianxi Province) and got accurate location of the earthquake,which has less travel time residual.
引文
[1]朱艾斓,徐锡伟,周永胜,等.川西地区小震重新定位及其活动构造意义[J].地球物理学报,2005,48(3):629-636.
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[3]万永革,刘瑞丰,李鸿吉.用遗传算法反演京津唐张地区的三维地壳结构和震源位置[J].地震学报,1997,19(6):623-633.
[4]万永革,沈正康,刁桂苓,等.利用小震分布和区域应力场确定大震断层面参数方法及其在唐山地震序列中的应用[J].地球物理学报,2008,51(3):793-804.
[5]万永革,吴忠良,周公威,等.几次复杂地震中不同破裂事件之间的“应力触发”问题[J].地震学报,2000,22(6):568-576.
[6]万永革,吴忠良,周公威,等.地震应力触发研究[J].地震学报,2002,24(5):533-551.
[7]万永革,吴逸民,盛书中,等.P波极性数据所揭示的台湾地区三维应力结构的初步结果[J].地球物理学报,2011,54(11):2809-2818.
[8]Lee W H K,J C Lahr.HYPO71:A computer program for determining hypocenter,magnitude,and first motion pattern of local earthquakes[J].U.S.Geol.Surv.Open-File Rept,1975,75-311.
[9]赵仲和.多重模型地震定位程序及其在北京台网的应用[J].地震学报,1983,5(2):242-254.
[10]徐果明,周惠兰.地震学原理[M].科学出版社,1982.
[11]Geiger L.Probability method for the determination of earthquake epicenters from arrival time only[J].Bull.St.Louis.Univ,1912,8:60-71.
[12]Wu Y M,Chang C H,Zhao L,Teng T L,Nakamura M.A comprehensive relocation of earthquakes in Taiwan f rom1991to2005[J].Bull Seism Soc Amer,2008,98(3):1471-1481.
[13]万永革,李鸿吉.遗传算法在确定震源位置中的应用[J].地震地磁观测与研究,1995,16(6):1-7.
[14]万永革,李清河,李鸿吉.用遗传算法确定三维横向不均匀介质中的近震震源位置[J],西北地震学报,1997,19(2):7-14.
[15]赵珠,丁志峰,易桂喜,等.西藏地震定位———一种使用单纯形优化的非线性方法[J].地震学报,1994,16(2):212-219.
[16]Spence W.Relative epicenter determination using P-wave arrival-time differences[J].Bull.Seism.Soc.Amer,1980,70(1):171-183.
[17]周仕勇,许忠淮,韩京,等.主地震定位方法分析以及1997年新疆伽师震群高精度定位[J].地震学报,1999,21(3):258-265.
[18]Waldhauser F,Ellsworth W L.A double-difference earthquake location algorithm:method and application to the Northern Hayward Fault,California[J].Bull Seism Soc Amer,2000,90(6):1353-1368.
[19]牟磊育,赵仲和,张伟,等,用INGLADA与GEIGER方法实现近震精定位[J].中国地震,2006,22(3):294-302.
[2]万永革,李鸿吉.京津唐张地区速度结构和震源位置联合反演的遗传算法[J].地震地磁观测与研究,1996,17(3):57-66.
[3]万永革,刘瑞丰,李鸿吉.用遗传算法反演京津唐张地区的三维地壳结构和震源位置[J].地震学报,1997,19(6):623-633.
[4]万永革,沈正康,刁桂苓,等.利用小震分布和区域应力场确定大震断层面参数方法及其在唐山地震序列中的应用[J].地球物理学报,2008,51(3):793-804.
[5]万永革,吴忠良,周公威,等.几次复杂地震中不同破裂事件之间的“应力触发”问题[J].地震学报,2000,22(6):568-576.
[6]万永革,吴忠良,周公威,等.地震应力触发研究[J].地震学报,2002,24(5):533-551.
[7]万永革,吴逸民,盛书中,等.P波极性数据所揭示的台湾地区三维应力结构的初步结果[J].地球物理学报,2011,54(11):2809-2818.
[8]Lee W H K,J C Lahr.HYPO71:A computer program for determining hypocenter,magnitude,and first motion pattern of local earthquakes[J].U.S.Geol.Surv.Open-File Rept,1975,75-311.
[9]赵仲和.多重模型地震定位程序及其在北京台网的应用[J].地震学报,1983,5(2):242-254.
[10]徐果明,周惠兰.地震学原理[M].科学出版社,1982.
[11]Geiger L.Probability method for the determination of earthquake epicenters from arrival time only[J].Bull.St.Louis.Univ,1912,8:60-71.
[12]Wu Y M,Chang C H,Zhao L,Teng T L,Nakamura M.A comprehensive relocation of earthquakes in Taiwan f rom1991to2005[J].Bull Seism Soc Amer,2008,98(3):1471-1481.
[13]万永革,李鸿吉.遗传算法在确定震源位置中的应用[J].地震地磁观测与研究,1995,16(6):1-7.
[14]万永革,李清河,李鸿吉.用遗传算法确定三维横向不均匀介质中的近震震源位置[J],西北地震学报,1997,19(2):7-14.
[15]赵珠,丁志峰,易桂喜,等.西藏地震定位———一种使用单纯形优化的非线性方法[J].地震学报,1994,16(2):212-219.
[16]Spence W.Relative epicenter determination using P-wave arrival-time differences[J].Bull.Seism.Soc.Amer,1980,70(1):171-183.
[17]周仕勇,许忠淮,韩京,等.主地震定位方法分析以及1997年新疆伽师震群高精度定位[J].地震学报,1999,21(3):258-265.
[18]Waldhauser F,Ellsworth W L.A double-difference earthquake location algorithm:method and application to the Northern Hayward Fault,California[J].Bull Seism Soc Amer,2000,90(6):1353-1368.
[19]牟磊育,赵仲和,张伟,等,用INGLADA与GEIGER方法实现近震精定位[J].中国地震,2006,22(3):294-302.
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