岩体破裂震源定位问题探讨与展望

doi:10.13722/j.cnki.jrme.2020.0710

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Abstract Seismic source location plays a key role in microseismic/acoustic emission data processing. The accuracy and timeliness are important for the analysis of rock fracture mechanism as well as rockmass dynamic disaster prediction and early warning. Based on a large number of study cases and literatures related to geotechnical engineering microseismic/acoustic emission monitoring source location，the domestic and foreign studies related to the practices and theories of microseismic/acoustic emission monitoring are summarized. Starting from the principle of seismic source location，the main research directions of influencing factors and related issues of seismic source location accuracy are discussed. The source location problem is considered to be a complex nonlinear inversion process interfered by multiple factors，and its location accuracy is affected by the following factors：seismic waveform denoising and first arrival time picking，the precision of the velocity model，the accuracy of the travel time algorithm with respect of the velocity model，the inversion performance of the seismic source location method，and the instrument performance and the design of the monitoring system. Based on the requirements of the massive data processing in microseismic/acoustic emission monitoring technology，the future applications and development directions of intelligent methods such as deep learning for improving source location accuracy are proposed.

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	WU Shunchuan1
	2
	GUO Chao2
	GAO Yongtao2
	ZHANG Chaojun2
	ZHENG Furun2

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WU Shunchuan1,2,GUO Chao2, et al. Discussion and prospect of source location of rock fracture[J]. , 2021, 40(5): 874-891.

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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2020.0710 OR http://rockmech.whrsm.ac.cn/EN/Y2021/V40/I5/874

[1]	何满潮，孙晓明. 深部岩体力学与工程灾害控制研究现状与展望[C]// 2009—2010岩石力学与岩石工程学科发展报告. 北京：中国科学技术出版社，2010：125-132.(HE Manchao，SUN Xiaoming. Current research and outlook of deep geomechanics and engineering disaster control[C]// Report on Advances in Rock Mechanics and Rock Engineering 2009-2010. Beijing：China Science and Technology Press，2010：125-132.(in Chinese))
[3]	CAI M，MORIOKA H，KAISER P K，et al. Back-analysis of rock mass strength parameters using AE monitoring data[J]. International Journal of Rock Mechanics and Mining Sciences，2007，44(4)：538-549.
[6]	CAI M，KAISER P K，TASAKA Y，et al. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(5)：833-847.
[7]	LOCKNER D A，BYERLEE J D，KUKSENKO V，et al. Quasi-static fault growth and shear fracture energy in granite[J]. Nature，1991，350(6313)：39-42.
[78]	SETHIAN J A，POPOVICI A M. 3D traveltime computation using the fast marching method[J]. Geophysics，1999，64(2)：516-523.
[102]	LEMARÉCHAL C. Cauchy and the gradient method[J]. Documenta Mathematica Extra Volume ISMP，2012：251-254.
[9]	ZHANG S，WU S，CHU C，et al. Acoustic emission associated with self-sustaining failure in low-porosity sandstone under uniaxial compression[J]. Rock Mechanics and Rock Engineering，2019，52(7)：2 067-2 085.
[11]	向天兵，冯夏庭，陈炳瑞，等. 开挖与支护应力路径下硬岩破坏过程的真三轴与声发射试验研究[J]. 岩土力学，2008，29(增1)：500-506.(XIANG Tianbing，FENG Xiating，CHEN Bingrui，et al. True triaxial and acoustic emission experimental study of failure process of hard rock under excavating and supporting stress paths[J]. Rock and Soil Mechanics，2008，29(Supp.1)：500-506.(in Chinese))
[13]	XIE H，LIU J，JU Y，et al. Fractal property of spatial distribution of acoustic emissions during the failure process of bedded rock salt[J]. International Journal of Rock Mechanics and Mining Sciences，2011，48(8)：1 344-1 351.
[17]	李健，吴顺川，高永涛，等. 露天矿边坡微地震监测研究综述[J]. 岩石力学与工程学报，2014，33(增2)：3 998-4 013.(LI Jian，WU Shunchuan，GAO Yongtao，et al. Review of slope micro-seismic monitoring in open-pit mine[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(Supp.2)：3 998-4 013.(in Chinese))
[19]	彭琦，张茹，谢和平，等. 基于AE时间序列的岩爆预测模型[J]. 岩土力学，2009，30(5)：1 436-1 440.(PENG Qi，ZHANG Ru，XIE Heping，et al. Prediction model for rockburst based on acoustic emission time series[J]. Rock and Soil Mechanics，2009，30(5)： 1 436-1 440.(in Chinese))
[21]	谭双，李邵军，王雪亮，等. 深埋引水隧洞塌方孕育过程微震规律研究：以Neelum-Jhelum工程为例[J]. 岩石力学与工程学报，2018，37(增2)：4 115-4 124.(TAN Shuang，LI Shaojun，WANG Xueliang，et al. Research on microseismic evolution law of collapse in deep-buried headrace tunnel：A case study from the Neelum-Jhelum hydropower project[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(Supp.2)：4 115-4 124.(in Chinese))
[25]	陈炳瑞，冯夏庭，肖亚勋，等. 深埋隧洞TBM施工过程围岩损伤演化声发射试验[J]. 岩石力学与工程学报，2010，29(8)：1 562-1 569. (CHEN Bingrui，FENG Xiating，XIAO Yaxun，et al. Acoustic emission test on damage evolution of surrounding rock in deep-buried tunnel during TBM excavation[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(8)：1 562-1 569.(in Chinese))
[27]	YOUNG R P，COLLINS D S，REYES-MONTES J M，et al. Quantification and interpretation of seismicity[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(8)：1 317-1 327.
[33]	CAI M，KAISER P K，MARTIN C D. Quantification of rock mass damage in underground excavations from microseismic event monitoring[J]. International Journal of Rock Mechanics and Mining Sciences，2001，38(8)：1 135-1 145.
[35]	NIEWIADOMSKI J. Application of singular value decomposition method for location of seismic events in mines[J]. Pure and Applied Geophysics，1989，129(3/4)：553-570.
[37]	PRUGGER A F，GENDZWILL D J. Microearthquake location：a nonlinear approach that makes use of a simplex stepping procedure[J]. Bulletin of the Seismological Society of America，1988，78(2)：799-815.
[41]	ALLEN R V. Automatic earthquake recognition and timing from single traces[J]. Bulletin of the Seismological Society of America，1978，68(5)：1 521-1 532.
[57]	ZHAI M. Seismic data denoising based on the fractional Fourier transformation[J]. Journal of Applied Geophysics，2014，109：62-70.
[12]	赵兴东，陈长华，刘建坡，等. 不同岩石声发射活动特性的实验研究[J]. 东北大学学报：自然科学版，2008，29(11)：1 633-1 636. (ZHAO Xingdong，CHEN Changhua，LIU Jianpo，et al. Experimental study on AE activity characteristics of different rock samples[J]. Journal of Northeastern University：Natural Science，2008，29(11)：1 633-1 636.(in Chinese))
[14]	杜岩，郑孝婷，谢谟文，等. 岩爆结构面强度的弱化特征[J]. 工程科学学报，2018，40(3)：269-275.(DU Yan，ZHENG Xiaoting，XIE Mowen，et al. Strength weakening characteristic of rock burst structural planes[J]. Chinese Journal of Engineering，2018，40(3)：269-275.(in Chinese))
[20]	冯夏庭，张传庆，陈炳瑞，等. 岩爆孕育过程的动态调控[J]. 岩石力学与工程学报，2012，31(10)：1 983-1 997.(FENG Xiating，ZHANG Chuanqing，CHEN Bingrui，et al. Dynamical control of rockburst evolution process[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(10)：1 983-1 997.(in Chinese))
[28]	VALLIANATOS F，MICHAS G，BENSON P，et al. Natural time analysis of critical phenomena：the case of acoustic emissions in triaxially deformed Etna basalt[J]. Physica A：Statistical Mechanics and its Applications，2013，392(20)：5 172-5 178.
[36]	LIENERT B R，BERG E，FRAZER L N. Hypocenter：an earthquake location method using centered，scaled，and adaptively damped least squares[J]. Bulletin of the Seismological Society of America，1986，76(3)：771-783.
[39]	WALDHAUSER F，ELLSWORTH W. A double-difference earthquake location algorithm：method and application to the northern Hayward fault，California[J]. Bulletin of the Seismological Society of America，2000，90(6)：1 353-1 368.
[43]	SARAGIOTIS C D，HADJILEONTIADIS L J，PANAS S M. PAI-S/K：a robust automatic seismic P phase arrival identification scheme[J]. IEEE Transactions on Geoscience and Remote Sensing，2002，40(6)：1 395-1 404.
[44]	SARAGIOTIS C D，HADJILEONTIADIS L J，REKANOS I T，et al. Automatic P phase picking using maximum kurtosis and kappa-statistics criteria[J]. IEEE Geoscience and Remote Sensing Letters，2004，1(3)：147-151.
[46]	SLEEMAN R，ECK T V. Robust automatic P-phase picking：an on-line implementation in the analysis of broadband seismogram recordings[J]. Physics of the Earth and Planetary Interiors，1999，113(1/4)：275.
[47]	SENKAYA M，KARSLI H. A semi-automatic approach to identify first arrival time：the cross-correlation technique[J]. Earth Sciences Research Journal，2015，18(2)：107-113.
[15]	唐红梅，陈洪凯，王智，等. 危岩破坏激振效应试验研究[J]. 岩土工程学报，2013，35(11)：2 117-2 122.(TANG Hongmei，CHEN Hongkai，WANG Zhi，et al. Experimental study on excitation effect for unstable rock[J]. Chinese Journal of Geotechnical Engineering，2013，35(11)：2 117-2 122.(in Chinese))
[49]	GENTILI S，MICHELINI A. Automatic picking of P and S phases using a neural tree[J]. Journal of Seismology，2006，10(1)：39-63.
[23]	VAN DER BAAN M，EATON D，DUSSEAULT M. Microseismic monitoring developments in hydraulic fracture stimulation[C]// ISRM International Conference for Effective and Sustainable Hydraulic Fracturing. Brisbane：International Society for Rock Mechanics and Rock Engineering，2013：439-466.
[51]	KRIZHEVSKY A，SUTSKEVER I，HINTON G. ImageNet Classification with deep convolutional neural networks[J]. Advances in Neural Information Processing Systems，2012，25(2)：1 097-1 105.
[79]	ZHAO H. A fast sweeping method for eikonal equations[J]. Mathematics of Computation，2005，74(250)：603-627.
[84]	HESS H H. Seismic anisotropy of the uppermost mantle under oceans[J]. Nature，1964，203(4945)：629-631.
[87]	BACKUS G. Long-Wave Elastic Anisotropy produced by horizontal layering[J]. Journal of Geophysical Research，1962，67：4 427-4 440.
[92]	QIAN J，SYMES W W. Finite-difference quasi-P traveltimes for anisotropic media[J]. Geophysics，2002，67(1)：147-155.
[108]	VAN LAARHOVEN P J，AARTS E H. Simulated annealing[M]. Dordrecht：Springer，1987：7-15.
[95]	WANG，Z. Seismic anisotropy in sedimentary rocks，part 1：A single-plug laboratory method[J]. Geophysics，2002，67(5)：1 415-1 422.
[45]	BAER M，KRADOLFER U. An Automatic phase picker for local and teleseismic events[J]. Bulletin of the Seismological Society of America，1987，77(4)：1 437-1 445.
[22]	袁瑞甫，李化敏，李怀珍. 煤柱型冲击地压微震信号分布特征及前兆信息判别[J]. 岩石力学与工程学报，2012，31(1)：80-85.(YUAN Ruifu，LI Huamin，LI Huaizhen. Distribution of microseismic signal and discrimination of portentous information of pillar type rockburst[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(1)：80-85.(in Chinese))
[53]	YUAN S，LIU J，WANG S，et al. Seismic waveform classification and first-break picking using convolution neural networks[J]. IEEE Geoscience and Remote Sensing Letters，2018，15(2)：272-276.
[30]	LEI X，MA S. Laboratory acoustic emission study for earthquake generation process[J]. Earthquake Science，2014，27(6)：627-646.
[61]	颜中辉，王赟，李攀峰，等. 基于希尔伯特-黄变换的多分量地震去噪方法研究及应用[J]. 地球物理学进展，2015，30(6)：2 846-2 854.(YANG Zhonghui，WANG Yun，LI Panfeng，et al. Research and application of multi-component seismic denoising based on Hilbert- Huang transform[J]. Progress in Geophysics，2015，30(6)：2 846-2 854.(in Chinese))
[31]	唐礼忠，杨承祥，潘长良. 大规模深井开采微震监测系统站网布置优化[J]. 岩石力学与工程学报，2006，25(10)：2 036-2 042.(TANG Lizhong，YANG Chengxiang，PAN Changliang. Optimization of microseismic monitoring network for large-scale deep well mining[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(10)：2 036-2 042.(in Chinese))
[69]	GRECHKA V Y，MCMECHAN G A. 3-D two-point ray tracing for heterogeneous，weakly transversely isotropic media[J]. Geophysics，1996，61(6)：1 883-1 894.
[38]	SPENCE W. Relative epicenter determination using P-wave arrival-time differences[J]. Bulletin of the Seismological Society of America，1980，70(1)：171-183.
[77]	TIAN Y，HUNG S，NOLET G，et al. Dynamic ray tracing and traveltime corrections for global seismic tomography[J]. Journal of Computational Physics，2007，226(1)：672-687.
[52]	PARCOLLET T，ZHANG Y，MORCHID M，et al. Quaternion convolutional neural networks for end-to-end Automatic speech recognition[C]// Proceedings of Interspeech. Hyderabad：International Speech Communication Association (ISCA)，2018：22-26.
[93]	LUO S，QIAN J. Fast sweeping methods for factored anisotropic eikonal equations：multiplicative and additive factors[J]. Journal of Scientific Computing，2012，52(2)：360-382.
[54]	WU Y，LIN Y，ZHOU Z，et al. DeepDetect：a cascaded region-based densely connected network for seismic event detection[J]. IEEE Transactions on Geoscience and Remote Sensing，2018，57(1)：62-75.
[96]	李金臣，史謌，陈思远. 黏度和矿化度对岩石速度各向异性影响的实验研究[J]. 北京大学学报：自然科学版，2005，41(6)：851-858.(LI Jinchen，SHI Ge，CHEN Siyuan. Experimental study on effects of viscosity and salinity of liquid on rock velocity anisotropy[J]. Acta Scientiarum Naturalium Universitatis Pekinensis，2005，41(6)：851-858.(in Chinese))
[55]	ROSS Z E，MEIER M A，HAUKSSON E，et al. Generalized seismic phase detection with deep learning[J]. Bulletin of the Seismological Society of America，2018，108(5A)：2 894-2 901.
[101]	CROSSON R S. Crustal structure modeling of earthquake data：1. Simultaneous least squares estimation of hypocenter and velocity parameters[J]. Journal of Geophysical Research，1976，81(17)： 3 036-3 046.
[60]	HOU W，JIA R，SUN H，et al. Random noise reduction in seismic data by using bidimensional empirical mode decomposition and Shearlet transform[J]. IEEE Access，2019，7：71 374-71 386.
[109]	陈炳瑞，冯夏庭，李庶林，等. 基于粒子群算法的岩体微震源分层定位方法[J]. 岩石力学与工程学报，2009，28(4)：740-749.(CHEN Bingrui，FENG Xiating，LI Shulin，et al. Microseism source location with hierarchical strategy based on particle swarm optimization[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(4)：740-749.(in Chinese))
[62]	LI F，VERMA S，PAN D，et al. Seismic denoising using thresholded adaptive signal decomposition[C]// 2017 SEG International Exposition and Annual Meeting. Huston：Society of Exploration Geophysicists，2017：5 095-5 099.
[63]	CHEN Y. Fast dictionary learning for noise attenuation of multidimensional seismic data[J]. Geophysical Journal International，2017，209(1)：21-31.
[112]	ZHANG X，ZHANG J，YUAN C，et al. Locating induced earthquakes with a network of seismic stations in Oklahoma via a deep learning method[J]. Scientific Reports，2020，10(1)：1-12.
[65]	ZHU W，MOUSAVI S M，BEROZA G C. Seismic signal denoising and decomposition using deep neural networks[J]. IEEE Transactions on Geoscience and Remote Sensing，2019，57(11)：9 476-9 488.
[59]	PAROLAI S. Denoising of seismograms using the S transform[J]. Bulletin of the Seismological Society of America，2009，99(1)：226-234.
[68]	FARRA V，MADARIAGA R. Seismic waveform modeling in heterogeneous media by ray perturbation theory (France)[J]. Journal of Geophysical Research Atmospheres，1987，92(B3)：2 607-2 712.
[67]	?ERVENÝ V，POPOV M M，PŠEN?ÍK I. Computation of wave fields in inhomogeneous media — Gaussian beam approach[J]. Geophysical Journal International，1982，70(1)：109-128.
[70]	GRECHKA V Y，MCMECHAN G A. Analysis of reflection traveltimes in 3D transversely isotropic heterogeneous media[J]. Geophysics，1997，62(6)：1 884-1 895.
[75]	郭超，高永涛，吴顺川，等. 基于三维快速扫描算法与到时差数据库技术的层状介质震源定位方法研究[J]. 岩土力学，2019，40(3)：1 229-1 238.(GUO Chao，GAO Yongtao，WU Shunchuan，et al. Research of micro-seismic source location method in layered velocity medium based on 3D fast sweeping algorithm and arrival time differences database technique[J]. Rock and Soil Mechanics，2019，40(3)：1 229-1 238.(in Chinese))
[71]	ZHAO A，ZHANG Z，TENG J. Minimum travel time tree algorithm for seismic ray tracing：improvement in efficiency[J]. Journal of Geophysics and Engineering，2004，1(4)：245-251.
[83]	POSTMA G W. Wave propagation in a stratified medium[J]. Geophysics，1955，20(4)：780-806.
[73]	VINJE V，IVERSEN E，GJØYSTDAL H. Traveltime and amplitude estimation using wavefront construction[J]. Geophysics，1993，58(8)：1 157-1 166.
[91]	?ERVENÝ V. Ray tracing in factorized anisotropic inhomogeneous media[J]. Geophysical Journal International，1989，99(1)：91-100.
[76]	吴顺川，陈子健，张诗淮，等. 缓倾地层微震定位算法探讨及其数值验证[J]. 岩土力学，2018，39(1)：297-307.(WU Shunchuan，CHEN Zijian，ZHANG Shihuai，et al. Microseismic location algorithm for gently inclined strata and its numerical verification[J]. Rock and Soil Mechanics，2018，39(1)：297-307.(in Chinese))
[99]	LUXBACHER K，WESTMAN E，SWANSON P，et al. Three-dimensional time-lapse velocity tomography of an underground longwall panel[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(4)：478-485.
[107]	HOLLAND J H. Genetic algorithms[J]. Scientific American，1992，267(1)：66-73.
[18]	徐奴文，唐春安，沙椿，等. 锦屏一级水电站左岸边坡微震监测系统及其工程应用[J]. 岩石力学与工程学报，2010，29(5)：915-925.(XU Nuwen，TANG Chun′an，SHA Chun，et al. Microseismic monitoring system establishment and its engineering applications to left bank slope of Jinping I Hydropower Station[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(5)：915-925.(in Chinese))
[26]	于群，唐春安，李连崇，等. 基于微震监测的锦屏二级水电站深埋隧洞岩爆孕育过程分析[J]. 岩土工程学报，2014，36(12)：2 315-2 322.(YU Qun，TANG Chun′an，LI Lianchong，et al. Nucleation process of rockbursts based on microseismic monitoring of deep-buried tunnels for Jinping II Hydropower Station[J]. Chinese Journal of Geotechnical Engineering，2014，36(12)：2 315-2 322.(in Chinese))
[89]	毛元彤. 三维各向异性介质地震波走时计算与地震定位的方法研究[硕士学位论文][D]. 北京：中国地震局地球物理研究所，2019.(MAO Yuantong. Study on seismic wave travel time calculation and earthquake location method for three-dimensional anisotropic media[M. S. Thesis][D]. Beijing：Institute of Geophysics，CEA，2019.(in Chinese))
[34]	GEIGER L. Probability method for determination of earthquake epicenters from arrival time only[J]. The Bulletin of St. Louis University，1912，8(1)：56-71.
[97]	ZHANG S，WU S，ZHANG G，et al. Three-dimensional evolution of damage in sandstone Brazilian discs by the concurrent use of active and passive ultrasonic techniques[J]. Acta Geotechnica，2020，15(2)：393-408.
[42]	FREIBERGER W F. An approximate method in signal detection[J]. Quarterly of Applied Mathematics，1963，20(4)：373-378.
[105]	POWELL M J. An efficient method for finding the minimum of a function of several variables without calculating derivatives[J]. The Computer Journal，1964，7(2)：155-162.
[50]	MAITY D，AMINZADEH F，KARRENBACH M. Novel hybrid artificial neural network based autopicking workflow for passive seismic data[J]. Geophysical Prospecting，2014，62(4)：834-847.
[58]	GACI S. The use of wavelet-based denoising techniques to enhance the first-arrival picking on seismic traces[J]. IEEE Transactions on Geoscience and Remote Sensing，2013，52(8)：4 558-4 563.
[66]	FENG G，FENG X，CHEN B，et al. Sectional velocity model for microseismic source location in tunnels[J]. Tunnelling and Underground Space Technology，2015，45：73-83.
[74]	SCHNEIDER W. Linearization of the P-wave eikonal equation for weak vertical transverse isotropy[J]. Geophysics，2003，68(3)：1 075-1 082.
[82]	LAN H，ZHANG Z. A high order fast sweeping scheme for calculating first arrival travel times with an irregular surface[J]. Bulletin of the Seismological Society of America，2013，103(3)：2 070-2 082.
[90]	THOMSEN L. Weak elastic anisotropy[J]. Geophysics，1986，51(10)：1 954-1 966.
[81]	QIAN J，ZHANG Y，ZHAO H. Fast sweeping methods for eikonal equations on triangular meshes[J]. SIAM Journal on Numerical Analysis，2007，45(1)：83-107.
[86]	CRAMPIN S. The dispersion of surface waves in multilayered anisotropic media[J]. Geophysical Journal of the Royal Astronomical Society，1970，21(3)：387-402.
[94]	SONDERGELD C H，RAI C S，MARGESSON R W，et al. Ultrasonic measurement of anisotropy on the Kimmeridge Shale[C]// 2000 SEG Annual Meeting. Calgary：Society of Exploration Geophysicists，2000：1 858-1 861.
[98]	WATANABE T，SHIMIZU S，ASAKAWA E，et al. Differential waveform tomography for time-lapse crosswell seismic data with application to gas hydrate production monitoring[C]// 2004 SEG Annual Meeting. Denver：Society of Exploration Geophysicists，2004：2 323-2 326.
[100]	BRANTUT N. Time-resolved tomography using acoustic emissions in the laboratory，and application to sandstone compaction[J]. Geophysical Journal International，2018，213(3)：2 177-2 192.
[103]	MENKE W. Geophysical data analysis：discrete inverse theory (Matlab edition)[J]. Geophysical Data Analysis Discrete Inverse Theory，1989，54(3)：226-230.
[106]	DORIGO M，MANIEZZO V，COLORNI A. Ant system：optimization by a colony of cooperating agents[J]. IEEE Transactions on Systems，Man，and Cybernetics，Part B (Cybernetics)，1996，26(1)：29-41.
[110]	GLYNN P W. Stochastic approximation for Monte Carlo optimization[C]// Proceedings of the 18th Conference on Winter Simulation. New York：Association for Computing Machinery，1986：356-365.
[111]	胡新亮，马胜利，高景春，等. 相对定位方法在非完整岩体声发射定位中的应用[J]. 岩石力学与工程学报，2004，23(2)：277-283.(HU Xinliang，MA Shengli，GAO Jingchun，et al. Location of acoustic emissions in non-integral rock using relative locating method[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(2)：277-283.(in Chinese))
[16]	逄焕东，张兴民，姜福兴. 岩石类材料声发射事件的波谱分析[J]. 煤炭学报，2004，29(5)：540-544.(PANG Huandong，ZHANG Xingmin，JIANG Fuxing. The spectrum analysis of acoustic emission signal in rock materials[J]. Journal of China Coal Society，2004，29(5)：540-544.(in Chinese))
[24]	CLADOUHOS T T，PETTY S，NORDIN Y，et al. Microseismic monitoring of Newberry volcano EGS demonstration[C]// Proceedings of the 38th Workshop on Geothermal Reservoir Engineering. Stanford：Curran Associates，2013：778-786.
[32]	马克，唐春安，梁正召，等. 基于微震监测的地下水封石油洞库施工期围岩稳定性分析[J]. 岩石力学与工程学报，2016，35(7)：1 353-1 365.(MA Ke，TANG Chun′an，LIANG Zhengzhao，et al. Stability analysis of the surrounding rock of underground water-sealed oil storage caverns based on microseismic monitoring during construction[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(7)：1 353-1 365.(in Chinese))
[40]	MA X. Locating the Epicenters of the 1973 Huoshan Swarm，Anhui Province，by the relative locating method[J]. Journal of Seismological Research，1982，5(1)：99-113.
[48]	AKRAM J，EATON D W. A review and appraisal of arrival-time picking methods for downhole microseismic data[J]. Geophysics，2016，81(2)：67-87.
[56]	PEROL T，GHARBI M，DENOLLE M. Convolutional neural network for earthquake detection and location[J]. Science Advances，2018，4(2)：e1700578.
[64]	SIAHSAR M A N，GHOLTASHI S，ABOLGHASEMI V，et al. Simultaneous denoising and interpolation of 2D seismic data using data-driven non-negative dictionary learning[J]. Signal Processing，2017，141：309-321.
[72]	VIDALE J. Finite-difference calculation of travel times[J]. Geophysics，1988，55(5)：521-526.
[80]	LUO S，QIAN J. Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes[J]. Journal of Computational Physics，2011，230(12)：4 742-4 755.
[88]	NUR A，SIMMONS G. Stress-induced velocity anisotropy in rock：an experimental study[J]. Journal of Geophysical Research，1969，74： 6 667-6 674.
[104]	DOUGLAS A. Joint epicentre determination[J]. Nature，1967，215(5096)：47-48.
[2]	乔兰，王旭，李远. 深部花岗闪长岩破坏过程声发射及特征应力特性试验研究[J]. 岩石力学与工程学报，2014，33(增1)： 2 773-2 778.(QIAO Lan，WANG Xu，LI Yuan. Study of acoustic emission and characteristic stress in deep granodiorite failure process[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(Supp.1)：2 773-2 778.(in Chinese))
[4]	MOORE D E，LOCKNER D A. The role of microcracking in shear-fracture propagation in granite[J]. Journal of Structural Geology，1995，17(1)：95-114.
[5]	NICKSIAR M，MARTIN C D. Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks[J]. Rock Mechanics and Rock Engineering，2012，45(4)：607-617.
[8]	张明，李仲奎，杨强，等. 准脆性材料声发射的损伤模型及统计分析[J]. 岩石力学与工程学报，2006，25(12)：2 493-2 501. (ZHANG Ming，LI Zhongkui，YANG Qiang，et al. A damage model and statistical analysis of acoustic emission for quasi-brittle materials[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(12)：2 493-2 501.(in Chinese))
[10]	何满潮，贾雪娜，苗金丽，等. 岩爆机制及其控制对策实验研究[C]//岩石力学与工程的创新和实践：第十一次全国岩石力学与工程学术大会论文集. 武汉：湖北科学技术出版社，2010：46-56.(HE Manchao，JIA Xuena，MIAO Jinli，et al. Study on rock burst mechanism experiment and its control methods[C]// Innovation and Practice of Rock Mechanics and Engineering：Proceedings of the 11th National Conference on Rock Mechanics and Engineering. Wuhan：Hubei Science and Technology Press，2010：46-56.(in Chinese))
[29]	BORMANN P，WENDT S，DIGIACOMO D. Seismic sources and source parameters[M]. Potsdam：Deutsches GeoForschungs Zentrum GFZ，2013：1-259.
[85]	KUMAZAWA M. The elastic constants of single-crystal orthopyroxene[J]. Journal of Geophysical Research，1969，74(25)：5 973-5 980.