基于斯奈尔定律及布谷鸟算法的层状岩体微震定位研究

doi:10.13722/j.cnki.jrme.2020.1154

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摘要微震事件的精确定位对岩爆监测预警至关重要，虽然传统分段波速模型的定位误差比单一波速模型有大幅降低，但是定位误差依然很大(本算例为28.51 m)。因此，提出一种基于斯奈尔定律及布谷鸟算法的微震定位方法来提高层状岩体中的定位精度。研究结果表明，布谷鸟算法采用莱维飞行的搜索策略可以实现长步长与短步长相结合进行空间最优解的搜索，在震源反演过程中通过模拟布谷鸟的专性繁殖寄生行为表现出很好的鲁棒性，能实现微震事件的可靠定位。同时结合斯奈尔定律可以有效克服两点间弹性波传播路径被简化成直线所引起的误差，定位误差比传统分段波速模型有显著降低(本算例可降低至0.12 m)。

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	张晓平
	朱航凯
	刘泉声
	吴坚

关键词 ：岩石力学, 微震事件定位, 斯奈尔定律, 莱维飞行, 布谷鸟算法

Abstract：Precise localization of microseismic events plays an important role in rockburst monitoring and early warning，and although the positioning error of the sectional wave velocity model is substantially lower than that of the single wave velocity model，the positioning error is still large(28.51 m of an example in this paper). Therefore，this paper proposes a new microseismic localization method based on Snell's law and Cuckoo search algorithm to improve the localization accuracy in layered rock masses. The results show that the Cuckoo search algorithm can combine long and short step lengths to search for spatially optimal solutions using the Lévy flight search strategy，presents good robustness in the process of seismic source inversion by simulating the specialized breeding parasitic behavior of Cuckoos，and can achieve reliable localization of microseismic events. It is also indicated that the combination of the Cuckoo search algorithm and the Snell¢s law can effectively overcome the error caused by simplifying the elastic wave propagation path between two points to a straight line，and can significantly reduce the positioning error compared to the sectional wave velocity model(down to 0.12 m in this paper)

Key words： rock mechanics')" href="#">

rock mechanics microseismic event location Snell¢ s law Lé vy flight ')" href="#">Cuckoo search algorithm

引用本文:

张晓平，朱航凯，刘泉声，吴坚. 基于斯奈尔定律及布谷鸟算法的层状岩体微震定位研究[J]. 岩石力学与工程学报, 2021, 40(7): 1383-1391.
ZHANG Xiaoping，ZHU Hangkai，LIU Quansheng，WU Jian. Research on microseismic event locating in layered rock masses based on Snell¢s law and Cuckoo search algorithm. , 2021, 40(7): 1383-1391.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.1154 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I7/1383

[33]	SIMS D W，SOUTHALL E J，HUMPHRIES N E，et al. Scaling laws of marine predator search behaviour[J]. Nature，2008，451：1 098-1 102.
[14]	VIDALE J. Finite-difference calculation of traveltimes[J]. Bullseissocam，1988，78(6)：2 062-2 076.
[25]	YANG X S. Nature-inspired metaheuristic algorithms[M]. United Kingdom：Luniver Press，2008：13-17.
[15]	VIDALE J. Finite-difference calculation of traveltimes in 3D[J]. Geophysics，1989，55(5)：521-526.
[26]	YANG X S. Biology-derived algorithms in engineering optimization[M]. Switzerland：Mathematics，2010：585-596.
[29]	G M V. Optimizing the success of random searches[J]. Nature，1999，401：911-914.
[1]	冯夏庭. 岩爆孕育过程的机制、预警与动态调控[M]. 北京：科学出版社，2013：524-526.(FENG Xiating. Mechanism，early warning and dynamic control of the breeding process of rock explosions[M]. Beijing：Science Press，2013：524-526.(in Chinese))
[3]	姜福兴，杨淑华，成云海，等. 煤矿冲击地压的微地震监测研究[J]. 地球物理学报，2006，49(5)：1 511-1 516.(JIANG Fuxing，YANG Shuhua，CHENG Yunhai，et al. Research on microseismic monitoring of shock ground pressure in coal mines[J]. Chinese Journal of Geophysics，2006，49(5)：1 511-1 516.(in Chinese))
[5]	LI Q Y，DONG L J. Effects of sonic speed on location accuracy of acoustic emission source in rocks[J]. Transactions of Nonferrous Metals Society of China，2011，21(12)：2 719-2 726.
[2]	宋维琪，徐奔奔，喻志超，等. 基于各向异性分析的微地震震源矢量场重建和裂缝解释[J]. 地球物理学报，2015，58(2)：656-663.(SONG Weiqi，XU Benben，YU Zhichao，et al. Vector field reconstruction and crack interpretation of microseismic seismic sources based on anisotropy analysis[J]. Chinese Geophysical Journal，2015，58(2)：656-663.(in Chinese))
[4]	张伯虎，邓建辉，周志辉，等. 大岗山水电站厂房断层控制区域微震监测分析[J]. 岩土力学，2012，33(增2)：213-218.(ZHANG Bohu，DENG Jianhui，ZHOU Zhihui，et al. Microseismic monitoring analysis in the fault control area of Dagangshan hydropower station[J]. Rock and Soil Mechanics，2012，33(Supp.2)：213-218.(in Chinese))
[9]	KUNDU T，NAKATANI H，TAKEDA N. Acoustic source localization in anisotropic plates[J]. Ultrasonics，2012，52(6)：740-746.
[6]	董陇军，李夕兵，马举，等. 未知波速系统中声发射与微震震源三维解析综合定位方法及工程应用[J]. 岩石力学与工程学报，2017，36(1)：186-197.(DONG Longjun，LI Xibing，MA Ju，et al. Three-dimensional analysis of acoustic emission and microseismic seismic sources in unknown wave velocity systems and engineering applications[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(1)：186-197.(in Chinese))
[8]	吴顺川，张光，张诗淮，等. 二维非测速条件下声发射震源定位方法数值验证[J]. 岩石力学与工程学报，2019，38(1)：1-13.(WU Shunchuan，ZHANG Guang，ZHANG Shihuai，et al. Numerical validation of acoustic emission seismic source localization method under two-dimensional non-synchronous velocity conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(1)：1-13.(in Chinese))
[10]	李绍红，吴礼舟，杨戒，等. 微震源定位的两步反演方法研究[J]. 岩石力学与工程学报，2017，36(7)：1 710-1 717.(LI Shaohong，WU Lizhou，YANG Jie，et al. Two-step inversion method for microseismic source localization[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(7)：1 710-1 717.(in Chinese))
[13]	FENG G L，FENG X T. Sectional velocity model for microseismic source location in tunnels[J]. Tunnelling and Underground Space Technology incorporating Trenchless Technology Research，2015，45(1)：73-83.
[17]	卢回忆，刘伊克，常旭. 基于MSFM的复杂近地表模型走时计算[J]. 地球物理学报，2013，56(9)：3 100-3 108.(LU Huiyi，LIU Yike，CHANG Xu. MSFM-based complex near-surface model timing calculation[J]. Chinese Journal of Geophysics，2013，56(9)：3 100- 3 108.(in Chinese))
[19]	ALDO L V，胡中平. 在不规则网格中用费马原理进行射线追踪[J]. 石油物探译丛，1997，(4)：59-69.(ALDO L V，HU Zhongping. Fermat's principle for ray tracing in irregular grids[J]. Petroleum Geophysical Prospecting Series，1997，(4)：59-69.(in Chinese))
[21]	张中杰，滕吉文. 各向异性介质中地震波射线满足的改进型斯涅尔定律[J]. 科学通报，1995，(9)：822-825.(ZHANG Zhongjie，TENG Jiwen. An improved Snell's law for the satisfaction of seismic rays in anisotropic media[J]. Science Bulletin，1995，(9)：822-825.(in Chinese))
[24]	SMITH A E. Swarm intelligence：from natural to artificial systems [Book Reviews][J]. IEEE Transactions on Evolutionary Computation，2002，14(2)：163-164.
[28]	ANDY M R. Free-flight odor tracking in Drosophila is consistent with an optimal intermittent scale-free search [J]. PloS One，2007，2(4)：e354.
[30]	张子成，韩伟，毛波. 基于模拟退火的自适应离散型布谷鸟算法求解旅行商问题[J]. 电子学报，2018，(8)：1 849-1 857.(ZHANG Zicheng，HAN Wei，MAO Bo. Adaptive discrete cuckoo algorithm based on simulated annealing for solving the travel quotient problem[J]. Journal of Electronics，2018，(8)：1 849-1 857.(in Chinese))
[32]	沈泉飞，曹敏，史照良，等. 基于布谷鸟算法的遥感影像智能分类[J]. 测绘通报，2017，(1)：65-68.(SHEN Quanfei，CAO Min，SHI Zhaoliang，et al. Intelligent classification of remote sensing images based on cuckoo algorithm[J]. Mapping Bulletin，2017，(1)：65-68.(in Chinese))
[35]	王庆喜，郭晓波. 基于莱维飞行的粒子群优化算法[J]. 计算机应用研究，2016，33(9)：2 588-2 591.(WANG Qingxi，GUO Xiaobo. Particle swarm optimization algorithm based on Levy flight[J]. Computer Applications Research，2016，33(9)：2 588-2 591.(in Chinese))
[7]	李健，高永涛，谢玉玲，等. 基于无需测速的单纯形法微地震定位改进研究[J]. 岩石力学与工程学报，2014，33(7)：1 336-1 346.(LI Jian，GAO Yongtao，XIE Yuling，et al. Improvement study of microseismic positioning based on the simplex method without velocity measurement[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(7)：1 336-1 346.(in Chinese))
[11]	巩思园，窦林名，马小平，等. 煤矿矿震定位中异向波速模型的构建与求解[J]. 地球物理学报，2012，55(5)：1 757-1 763.(GONG Siyuan，DOU Linming，MA Xiaoping，et al. Construction and solution of the anisotropic wave velocity model for coal mine seismic positioning[J]. Chinese Journal of Geophysics，2012，55(5)：1 757- 1 763.(in Chinese))
[12]	郭亮，戴峰，徐奴文，等. 基于MSFM的复杂速度岩体微震定位研究[J]. 岩石力学与工程学报，2017，36(2)：394-406.(GUO Liang，DAI Feng，XU Nuwen，et al. MSFM-based microseismic localization study of complex velocity rock masses[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(2)：394-406.(in Chinese))
[16]	张东，傅相如，杨艳，等. 基于LTI和网格界面剖分的三维地震射线追踪算法[J]. 地球物理学报，2009，52(9)：2 370-2 376. (ZHANG Dong，FU Xiangru，YANG Yan，et al. Three-dimensional seismic ray tracing algorithm based on LTI and mesh interface dissection[J]. Chinese Geophysical Journal，2009，52(9)：2 370-2 376. (in Chinese))
[18]	戴峰，郭亮，徐奴文，等. 基于异向波速模型的微震定位改进[J]. 地球物理学报，2016，59(9)：3 291-3 301.(DAI Feng，GUO Liang，XU Nuwen，et al. Improvement of microseismic positioning based on the anisotropic wave velocity model[J]. Chinese Geophysical Journal，2016，59(9)：3 291-3 301.(in Chinese))
[20]	彭直兴. 地震波初至旅行时射线追踪正演方法研究[硕士学位论文][D]. 成都：成都理工大学，2005.(PENG Zhixing. Research on ray-tracing orthodromic methods for seismic wave travel[M. S. Thesis][D]. Chengdu：Chengdu University of Technology，2005.(in Chinese))
[22]	雷开友. 粒子群算法及其应用研究[博士学位论文][D]. 成都：西南大学，2006.(LEI Kaiyou. Particle swarm algorithm and its applications[Ph. D. Theisi][D]. Chengdu：Southwest University，2006.(in Chinese))
[23]	BLUM C，ROLI A. Metaheuristics in combinatorial optimization：Overview and conceptual comparison[J]. Acm Computing Surveys，2003，35(3)：268-308.
[27]	YANG X S，DEB S. Cuckoo Search via Lévy flights[C]// Proceedings of the 2009 World Congress on Nature and Biologically Inspired Computing (NaBIC). Coimbatore，India：IEEE，2009：210-214.
[31]	秦强，冯蕴雯，薛小锋，等. 改进布谷鸟算法在结构可靠性分析中的应用[J]. 系统工程与电子技术，2015，37(4)：979-984.(QIN Qiang，FENG Yunwen，XUE Xiaofeng，et al. Application of improved cuckoo algorithm in structural reliability analysis[J]. Systems Engineering and Electronics Technology，2015，37(4)：979-984.(in Chinese))
[34]	PAVLYUKEVICH I. Lévy flights，non-local search and simulated annealing[J]. Journal of Computational Physics，2007，226(2)：1 830-1 844.