深部巷道岩爆加权距离判别法模型的分析和应用
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摘要
根据距离判别理论,以巷道最大切向应力和岩石单轴抗压强度的比值、岩石单轴抗压强度和岩石单轴抗拉强度的比值以及弹性能量指数为判别因子,并应用主成分分析法计算权矩阵,建立加权距离判别模型。利用冬瓜山铜矿深部岩体工程实例为学习样本进行训练,通过判别模型的学习功能确定岩爆与其各影响因素之间的复杂关系。用该模型对金川深部岩体工程进行判别,其结果与实际情况基本一致,说明此模型对深部岩体工程岩爆的预测具有较强的实用性。
Based on the principle of Mahalanobis' distance discriminant analysis,the ratio of maximum tangent stress of excavation to rock uniaxial compressive strength,the ratio of rock uniaxial compressive strength to rock uniaxial tensile strength and the index of elasticity energy are used as discriminant gene and the principle component analysis method is adopted to calculate weight matrix to establish weighted distance discriminant model.The deep rock mass engineering of Dongguashan copper mine is taken as the training and testing samples.The complex relations between rockburst and each influencing factor are obtained through the learning function of the discriminant model.Rockburst of the deep rock mass engineering of Jinchuan is used to verify this model,and the result shows that this model has strong practicability to forecast rockburst of the deep rock mass.
Based on the principle of Mahalanobis' distance discriminant analysis,the ratio of maximum tangent stress of excavation to rock uniaxial compressive strength,the ratio of rock uniaxial compressive strength to rock uniaxial tensile strength and the index of elasticity energy are used as discriminant gene and the principle component analysis method is adopted to calculate weight matrix to establish weighted distance discriminant model.The deep rock mass engineering of Dongguashan copper mine is taken as the training and testing samples.The complex relations between rockburst and each influencing factor are obtained through the learning function of the discriminant model.Rockburst of the deep rock mass engineering of Jinchuan is used to verify this model,and the result shows that this model has strong practicability to forecast rockburst of the deep rock mass.
引文
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[9]郭立.深部硬岩岩爆倾向性动态预测模型及其应用[D].长沙:中南大学资源与安全工程学院,2004:914.GUO Li.The model to dynamically predict rockbursts pronenessof hard rock at depth and its application[D].Changsha:CentralSouth University.School of Resources and Safety Engineering,2004:9-14.
[10]王元汉,李卧东,李启光,等.岩爆预测的模糊数学综合评价方法[J].岩石力学与工程学报,1998,17(5):493501.WANG Yuan-han,LI Wo-dong,Lee P K,et al.Method of fuzzycomprehensive evaluations for rockburst prediction[J].ChineseJournal of Rock Mechanics and Engineering,1998,17(5):493-501.
[11]谢和平,Pariseau W G.岩爆的分行特征和机理[J].岩石力学与工程学报,1993,12(1):28-37.XIE He-ping,Pariseau W G.Fractal character and mechanism ofrockbursts[J].Chinese Journal of Rock Mechanics andEngineering,1993,12(1):28-37.
[12]李广平.岩爆的损伤断裂模型[J].岩土力学,1997,18(增):105 109.LI Guang-ping.The damage-fracture model for rockburst[J].Rock and Soil Mechanics,1997,18(Suppl.):105-109.
[13]Muler W.Numerical simulation of rock bursts[J].Min SciTechnol,1992,12(1):27-42.
[14]朱惠倩.聚类分析的一种改进方法[J].湖南理工学院学报,2005,17(3):7 9.ZHU Hui-qian.An improvement on cluster analysis[J].Journalof Hunan University of Arts and Science,2005,17(3):7-9.
[15]赵琳,罗汉,刘京.加权马氏距离判别分析方法及其权值确定-旅游信息服务系统的智能推荐[J].经济数学,2007,24(2):185-188.ZHAO Lin,LUO Han,LIU Jing.Weighted Mabalanobisdistance and the weight-determining method the arithmetic oftourism information recommender system[J].Mathematics inEconomics,2007,24(2):185-188.
[16]哀志发,周静芋.多元统计分析[M].北京:科学出版社,2002:118-128.YUAN Zhi-fa,ZHOU Jing-yu.Multivariate statisticalanalysis[M].Beijing:Science Press,2002:118 128.
[17]范金城,梅长林.数据分析[M].北京:科学出版社,2002:142-148.FAN Jin-cheng,MEI Chang-lin.Data analysis[M].Beijing:Science Press,2002:142-148.
[18]Hoek E,Brown E T.Underground excavation in rock[M].London:Institute of Mining and Metallurgy,1980:183-190.
[19]Kidybinsk A.Bursting liability indices of coal[J].Int J RockMech Min Sci Geomech Abstr,1981,18(4):295-304.
[20]唐礼忠.深井矿山地震活动与岩爆监测及预测研究[D].长沙:中南大学资源与安全工程学院,2008:129132.TANG Li-zhong.Study on monitoring and prediction ofseismicity and rockburst in a deep mine[D].Changsha:CentralSouth University.School of Resources and Safety Engineering,2008:129-132.
[2]Diering D H.Ultra-deep level mining future requirements[J].Journal of the South African Institute of Mining and Metallurgy,1997,97(6):249-255.
[3]Fujii Y,Ishijima Y,Deguchi G,et al.Prediction of coal facerockburst and micro-seismicity in deep long wall coal wall[J].IntJ Rock Mech Sci,1997,34(1):85-96.
[4]赵本钧,滕学军.冲击地压及其防治[M].北京:煤炭工业出版社,1995:63-70.ZHAO Ben-jun,TENG Xue-jun.Shock pressure and itscontrol[M].Beijing:Coal Industry Press,1995:63-70.
[5]徐则民,黄润秋,范柱国,等.长大隧道岩爆灾害研究进展[J].自然灾害学报,2004,13(2):16-24.XU Ze-min,HUANG Run-qiu,FAN Zhu-guo,et al.Progress inresearch on rock burst hazard of long tunnel with large section[J].Journal of Natural Disasters,2004,13(2):16-24.
[6]谷明成,何发亮,陈成宗.秦岭隧道岩爆的研究[J].岩石力学与工程学报,2002,21(9):1324-1329.GU Ming-cheng,HE Fa-liang,CHEN Cheng-zong.Study onrockburst in qingling tunnel[J].Chinese Journal of RockMechanics and Engineering,2002,21(9):1324-1329.
[7]Simser B,Joughin W C,Ortle P P W D.The performance ofBrunswick Mine’s roekburst support system during a severeseismic episode[J].Journal of the South African Institute ofMining and Metallurgy,2002,102(5/6):217-223.
[8]李忠,杨腾峰.福建九华山隧道岩爆工程地质特征分析防治措施研究[J].地质与勘探,2005,41(2):81-84.LI Zhong,YANG Teng-feng.The geological characters ofrockburst in Jiuhuashan mountain tunnel and the preventionmethods[J].Geology and Prospecting,2005,41(2):81-84.
[9]郭立.深部硬岩岩爆倾向性动态预测模型及其应用[D].长沙:中南大学资源与安全工程学院,2004:914.GUO Li.The model to dynamically predict rockbursts pronenessof hard rock at depth and its application[D].Changsha:CentralSouth University.School of Resources and Safety Engineering,2004:9-14.
[10]王元汉,李卧东,李启光,等.岩爆预测的模糊数学综合评价方法[J].岩石力学与工程学报,1998,17(5):493501.WANG Yuan-han,LI Wo-dong,Lee P K,et al.Method of fuzzycomprehensive evaluations for rockburst prediction[J].ChineseJournal of Rock Mechanics and Engineering,1998,17(5):493-501.
[11]谢和平,Pariseau W G.岩爆的分行特征和机理[J].岩石力学与工程学报,1993,12(1):28-37.XIE He-ping,Pariseau W G.Fractal character and mechanism ofrockbursts[J].Chinese Journal of Rock Mechanics andEngineering,1993,12(1):28-37.
[12]李广平.岩爆的损伤断裂模型[J].岩土力学,1997,18(增):105 109.LI Guang-ping.The damage-fracture model for rockburst[J].Rock and Soil Mechanics,1997,18(Suppl.):105-109.
[13]Muler W.Numerical simulation of rock bursts[J].Min SciTechnol,1992,12(1):27-42.
[14]朱惠倩.聚类分析的一种改进方法[J].湖南理工学院学报,2005,17(3):7 9.ZHU Hui-qian.An improvement on cluster analysis[J].Journalof Hunan University of Arts and Science,2005,17(3):7-9.
[15]赵琳,罗汉,刘京.加权马氏距离判别分析方法及其权值确定-旅游信息服务系统的智能推荐[J].经济数学,2007,24(2):185-188.ZHAO Lin,LUO Han,LIU Jing.Weighted Mabalanobisdistance and the weight-determining method the arithmetic oftourism information recommender system[J].Mathematics inEconomics,2007,24(2):185-188.
[16]哀志发,周静芋.多元统计分析[M].北京:科学出版社,2002:118-128.YUAN Zhi-fa,ZHOU Jing-yu.Multivariate statisticalanalysis[M].Beijing:Science Press,2002:118 128.
[17]范金城,梅长林.数据分析[M].北京:科学出版社,2002:142-148.FAN Jin-cheng,MEI Chang-lin.Data analysis[M].Beijing:Science Press,2002:142-148.
[18]Hoek E,Brown E T.Underground excavation in rock[M].London:Institute of Mining and Metallurgy,1980:183-190.
[19]Kidybinsk A.Bursting liability indices of coal[J].Int J RockMech Min Sci Geomech Abstr,1981,18(4):295-304.
[20]唐礼忠.深井矿山地震活动与岩爆监测及预测研究[D].长沙:中南大学资源与安全工程学院,2008:129132.TANG Li-zhong.Study on monitoring and prediction ofseismicity and rockburst in a deep mine[D].Changsha:CentralSouth University.School of Resources and Safety Engineering,2008:129-132.
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