基于距离判别分析与模糊数学的岩体质量评判法
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摘要
在对比分析各类岩体质量评判方法的基础上,针对影响地下工程岩体质量的关键因素,选取其中的6项基本指标作为地下工程岩体质量评判的基础.然后采用距离判别分析的思想确定岩体评价指标的隶属度,并引进变异系数法与专家评分相组合来确定各指标权重,建立了相应的模糊综合评价模型.该方法使得距离判别关系定量化,避免单纯距离判别分析方法中的模糊不确定性带来的误差.通过对三山岛金矿深部岩体进行的工程应用表明,该方法对于地下工程岩体分级具有很好的适用性与合理性.
Based on a comparative analysis of different rock mass quality evaluation methods,six basic indicators of the key influencing factors are selected as the basis for rock quality evaluation in underground engineering.The membership function of each indicator is determined by distance discriminant analysis,while the corresponding weights are then determined by the combination of variation coefficient and expert grading methods.Thus,a fuzzy comprehensive evaluation model is established.This method makes the distance discrimination relationship be quantitative,and avoids errors caused by fuzzy uncertainty in the simple distance discriminant analysis.The proposed method was used to evaluate the quality of deep rock mass in Sanshandao gold mine,the application results indicate that the method shows good applicability and rationality in the rock mass classification in underground engineering.
Based on a comparative analysis of different rock mass quality evaluation methods,six basic indicators of the key influencing factors are selected as the basis for rock quality evaluation in underground engineering.The membership function of each indicator is determined by distance discriminant analysis,while the corresponding weights are then determined by the combination of variation coefficient and expert grading methods.Thus,a fuzzy comprehensive evaluation model is established.This method makes the distance discrimination relationship be quantitative,and avoids errors caused by fuzzy uncertainty in the simple distance discriminant analysis.The proposed method was used to evaluate the quality of deep rock mass in Sanshandao gold mine,the application results indicate that the method shows good applicability and rationality in the rock mass classification in underground engineering.
引文
[1]连建发,慎乃齐,张杰坤.分形理论在岩体质量评价中的应用研究[J].岩石力学与工程学报,2001,220(增刊):1695-1699.LIAN Jian-fa,SHEN Nai-qi,ZHANG Jie kun.Ap-plication research on fractal theory in rockmass quali-ty evaluation[J].Chinese Journal of Rock Mechanicsand Engineering,2001,220(Supp):1695-1699.
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[5]宫风强,李夕兵.距离判别分析方法在岩体质量等级分类中的应用[J].岩石力学与工程学报,2007,26(1):191-194.GONG Feng-qiang,LI Xi-bing.Application of dis-tance discriminant analysis method to classification ofengineering quality of rock masses[J].Chinese Jour-nal of Rock Mechanics and Engineering,2007,26(1):191-194.
[6]苏永华,赵明华,刘晓明.岩体分类的二元相对模糊评判法[J].岩石力学与工程学报,2006,25(5):1049-1055.SU Yong-hua,ZHAO Ming-hua,LIU Xiao-ming.Duality element relative fuzzy evaluation method andits application to rock mass stability classification[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(5):1049-1055.
[7]王鹏,李安贵,蔡美峰,等.基于随机-模糊理论的岩石抗剪强度参数确定[J].岩石力学与工程学报,2005,24(4):547-552.WANG Peng,LI An-gui,CAI Mei-feng,et al.Ran-dom-fuzzy monovariant linear regression method fordetermining the shear strength parameters of rock[J].Chinese Journal of Rock Mechanics and Engi-neering,2005,24(4):547-552.
[8]许传华,任青文.地下工程围岩稳定性的模糊综合评判法[J].岩石力学与工程学报,2004,23(11):1852-1855.XU Chuan-hua,REN Qing-wen.Fuzzy-synthetical e-valuation on stability of surrounding rock masses ofunderground engineering[J].Chinese Journal of RockMechanics and Engineering,2004,23(11):1852-1855.
[9]赵家成,刘章军.基于模糊概率方法的岩体稳定性评价[J].地质科技情报,2009,28(1):109-112.ZHAO Jia-cheng,LIU Zhang-jun.Fuzzy probabilityevaluation and its application to rock mass stabilityclassification[J].Geological Science and TechnologyInformation,2009,28(1):109-112.
[10]李柏年.模糊数学及其应用[M].合肥:合肥工业大学出版社,2007.
[11]康小兵,许模,陈旭.岩体质量Q系统分类法及其应用[J].中国地质灾害与防治学报,2008,19(4):91-95.KANG Xiao-bing,XU Mo,CHEN Xu.Introduceand application of rock mass quality classification Q-system[J].The Chinese Journal of Geological Haz-ard and Control,2008,19(4):91-95
[12]中华人民共和国水利部.GB502182-94工程岩体分级标准[S].北京:中国计划出版社,1995.
[13]中华人民共和国水利部.GB50287-99水利水电工程地质勘察规范[S].北京:中国计划出版社,1995.
[2]胡全舟,吴超,陈沅江.风险评价方法在地下工程围岩稳定性分级中的应用[J].地下空间与工程学报,2005,1(6):874-877.HU Quan-zhou,WU Chao,CHEN Yuan-jiang.Riskassessment on stability of surrounding rock of under-ground engineering[J].Chinese Journal of Under-ground Space and Engineering,2005,1(6):874-877.
[3]李强.BP神经网络在工程岩体质量分级中的应用研究[J].西北地震学报,2002,24(3):220-225.LI Qiang.Study of application of BP nervous net-work in classification of rock mass quality[J].North-western Seismological Journal,2002,24(3):220-225.
[4]原国红,陈剑平,马琳.可拓评判方法在岩体质量分类中的应用[J].岩石力学与工程学报,2005(9):86-91.YUAN Guo-hong,CHEN Jian-ping,MA Lin.Ap-plication of extenics in evaluating of engineering qual-ity of rockmass[J].Chinese Journal of Rock Me-chanics and Engineering,2005(9):86-91.
[5]宫风强,李夕兵.距离判别分析方法在岩体质量等级分类中的应用[J].岩石力学与工程学报,2007,26(1):191-194.GONG Feng-qiang,LI Xi-bing.Application of dis-tance discriminant analysis method to classification ofengineering quality of rock masses[J].Chinese Jour-nal of Rock Mechanics and Engineering,2007,26(1):191-194.
[6]苏永华,赵明华,刘晓明.岩体分类的二元相对模糊评判法[J].岩石力学与工程学报,2006,25(5):1049-1055.SU Yong-hua,ZHAO Ming-hua,LIU Xiao-ming.Duality element relative fuzzy evaluation method andits application to rock mass stability classification[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(5):1049-1055.
[7]王鹏,李安贵,蔡美峰,等.基于随机-模糊理论的岩石抗剪强度参数确定[J].岩石力学与工程学报,2005,24(4):547-552.WANG Peng,LI An-gui,CAI Mei-feng,et al.Ran-dom-fuzzy monovariant linear regression method fordetermining the shear strength parameters of rock[J].Chinese Journal of Rock Mechanics and Engi-neering,2005,24(4):547-552.
[8]许传华,任青文.地下工程围岩稳定性的模糊综合评判法[J].岩石力学与工程学报,2004,23(11):1852-1855.XU Chuan-hua,REN Qing-wen.Fuzzy-synthetical e-valuation on stability of surrounding rock masses ofunderground engineering[J].Chinese Journal of RockMechanics and Engineering,2004,23(11):1852-1855.
[9]赵家成,刘章军.基于模糊概率方法的岩体稳定性评价[J].地质科技情报,2009,28(1):109-112.ZHAO Jia-cheng,LIU Zhang-jun.Fuzzy probabilityevaluation and its application to rock mass stabilityclassification[J].Geological Science and TechnologyInformation,2009,28(1):109-112.
[10]李柏年.模糊数学及其应用[M].合肥:合肥工业大学出版社,2007.
[11]康小兵,许模,陈旭.岩体质量Q系统分类法及其应用[J].中国地质灾害与防治学报,2008,19(4):91-95.KANG Xiao-bing,XU Mo,CHEN Xu.Introduceand application of rock mass quality classification Q-system[J].The Chinese Journal of Geological Haz-ard and Control,2008,19(4):91-95
[12]中华人民共和国水利部.GB502182-94工程岩体分级标准[S].北京:中国计划出版社,1995.
[13]中华人民共和国水利部.GB50287-99水利水电工程地质勘察规范[S].北京:中国计划出版社,1995.
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