一类基于最小二乘法的声发射源组合定位算法
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摘要
介绍了声发射源时差定位方法的基本原理及其常用的声发射源定位方法.针对声发射源三维定位常规算法中初始值的选取影响算法收敛速度和定位精度的问题,充分利用最小二乘算法的估计特性,改进定位算法,提出一类基于最小二乘法的Geiger优化迭代组合定位算法.数值仿真算例表明:该方法能有效解决迭代法的初始值问题,保证算法的收敛并且提高迭代算法的收敛速度.
The location of AE(acoustic emission) source is an important task of acoustic emission monitoring. The basic principle of time difference of arrival(TDOA) location and conventional relevant methods to locate the acoustic emission source are described. Since the choice of initial value affects convergence rate and location accuracy in the 3-D algorithm of AE source location,a new Geiger iterative combination algorithm taking fully the advantage of estimation of the least square method is proposed to optimize the location. Numerical simulation showed that the algorithm proposed can effectively solve the problem of initial value for iteration and ensure the algorithm convergence with convergence rate improved.
The location of AE(acoustic emission) source is an important task of acoustic emission monitoring. The basic principle of time difference of arrival(TDOA) location and conventional relevant methods to locate the acoustic emission source are described. Since the choice of initial value affects convergence rate and location accuracy in the 3-D algorithm of AE source location,a new Geiger iterative combination algorithm taking fully the advantage of estimation of the least square method is proposed to optimize the location. Numerical simulation showed that the algorithm proposed can effectively solve the problem of initial value for iteration and ensure the algorithm convergence with convergence rate improved.
引文
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[9]Prugger A F,Gendzwill D J.Micro-earthquake location:a non-linear approach that make use of a si mplex stepping proceeding[J].Bull Seis Soc Am,1988,78(2):799-815.
[10]Smith E G C.Scaling equations of condition to i mprove conditioning[J].Bull Seis Soc Am,1976,66(6):2075-2076.
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[12]Geiger L.Probability method for the determination of earthquake epicentersfromthe arrival ti me only[J].Bull St Louis Unic,1912,8:60-71.
[13]Geiger L.Herbseti mmung Bei Erdbeben aus den Ankunfzeiten[J].Gessell Wiss Goett,1910,4:331-349.
[2]郭彦双,黄凯珠,朱维申,等.辉长岩中张开型表面裂隙破裂模式研究[J].岩石力学与工程学报,2007,26(3):525-531.(Guo Yan-shuang,Huang Kai-zhu,Zhu Wei-shen,et al.Study on fracture pattern of open surface-flawin gabbro[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(3):525-531.)
[3]雷兴林,马瑾,南濑勤一郎,等.三轴压缩下粗晶花岗闪长岩声发射三维分布及其分形特征[J].地震地质,1991,13(2):107-114.(Lei Xing-lin,Ma Jin,Kusunose K,et al.Spatial distribution and fractal structure of AE focuses of Inada granite under triaxial compression[J].Seismology and Geology,1991,13(2):107-114.)
[4]马胜利,雷兴林,刘力强.标本非均匀性对岩石变形声发射时空分布的影响及其地震学意义[J].地球物理学报,2004,47(1):127-131.(Ma Sheng-li,Lei Xing-lin,Liu Li-qiang.Effects of heterogeneity in rock samples on spatial and temporal distribution of acoustic emission and their significance in seismology[J].Chinese Journal of Geophysics,2004,47(1):127-131.)
[5]Nowrey G L.Computer processing and analysis of microseismic data[C]∥First Conference on Acoustic Emission/Microseismic Activityin Geological Structures and Materials.[S.l].:Trans Tech Pub,1977:437-442.
[6]Gendzwill D J,Prugger A F.Algorithms for microearthquake locations[C]∥Proc4th Symp on Acoustic Emissions and Microseismicity.Altoona:Penn State University,1985:79-83.
[7]Lee W H K,Stewrt S W.Principles and applications of microearthquake networks[J].Adv Geophysics,1981,31(2):191-192.
[8]Nelder I A,Mead R.A si mplex method for function mini mizeation[J].Computer Journal,1965,7(4):308-313.
[9]Prugger A F,Gendzwill D J.Micro-earthquake location:a non-linear approach that make use of a si mplex stepping proceeding[J].Bull Seis Soc Am,1988,78(2):799-815.
[10]Smith E G C.Scaling equations of condition to i mprove conditioning[J].Bull Seis Soc Am,1976,66(6):2075-2076.
[11]Thurber C S.Nonlinear earthquake locateon:theory and examples[J].Bull Seis Soc Am,1985,75(8):779-790.
[12]Geiger L.Probability method for the determination of earthquake epicentersfromthe arrival ti me only[J].Bull St Louis Unic,1912,8:60-71.
[13]Geiger L.Herbseti mmung Bei Erdbeben aus den Ankunfzeiten[J].Gessell Wiss Goett,1910,4:331-349.
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