边坡块状结构岩体模糊随机可靠性分析
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摘要
边坡稳定性评价中包含有很多的不确定性因素,这些不确定因素既具有随机性也具有模糊性。基于块体理论和模糊分析理论,提出了边坡块状结构岩体模糊随机可靠性分析的点估计法,并运用该方法对三峡永久船闸某边坡块体的可靠性进行分析,同时将其与模糊概率测度分析方法进行对比分析。结果表明,模糊概率测度分析方法只是对分析模型进行模糊化,但没有考虑到各个力学参数的模糊性。而模糊点估计法为解决这个问题提供一个有效的途径,它对影响边坡稳定的各个力学参数都进行模糊处理,因而更具有实际指导意义。
Slope stability assessment is a difficult geotechnical problem because of the uncertainty involved.These uncertainties possess both randomness and fuzziness.Historically,all uncertainties were assumed to follow the characteristics of random ones.However,some uncertainties,especially those based on incomplete information,cannot be handled satisfactorily by the classical random analysis;and in this case,using a fuzzy number to reflect the uncertainty is reasonable.In this paper,a fuzzy point estimate method is presented for the reliability analysis of rock block incorporating block theory and fuzzy sets.As a typical example,it is applied to the stability analysis of a key block in high slope of the permanent shiplock of the Three Gorges Project.Furthermore,it is compared with the fuzzy possibility approach showing that the results by the two methods are essentially consistent.However,the fuzzy possibility method only considers the ambiguity of limit state function and doesn′t take into account the fuzziness of mechanical parameters.The fuzzy point estimate method provides an effective approach to solve this problem and it can reflect the real situation better because it uses fuzzy-based disposal to every mechanical parameters.
Slope stability assessment is a difficult geotechnical problem because of the uncertainty involved.These uncertainties possess both randomness and fuzziness.Historically,all uncertainties were assumed to follow the characteristics of random ones.However,some uncertainties,especially those based on incomplete information,cannot be handled satisfactorily by the classical random analysis;and in this case,using a fuzzy number to reflect the uncertainty is reasonable.In this paper,a fuzzy point estimate method is presented for the reliability analysis of rock block incorporating block theory and fuzzy sets.As a typical example,it is applied to the stability analysis of a key block in high slope of the permanent shiplock of the Three Gorges Project.Furthermore,it is compared with the fuzzy possibility approach showing that the results by the two methods are essentially consistent.However,the fuzzy possibility method only considers the ambiguity of limit state function and doesn′t take into account the fuzziness of mechanical parameters.The fuzzy point estimate method provides an effective approach to solve this problem and it can reflect the real situation better because it uses fuzzy-based disposal to every mechanical parameters.
引文
[1]李华晔.地下洞室围岩稳定性分析[M].北京:中国水利水电出版社,1999.(Li Huaye.Stability Analysis of Surrounding Rock of Underground Chambers[M].BeiJing:China Water Power Press,1999.(in Chinese))
[2]Ahn S H,Lee C I.Removability analysis of rock blocks by block theory and a probabilistic approach[J].Int.J.Rock Mech.Min.Sci,2004,41(3):1–6.
[3]Mito Y.Stochastic block theory for initial support decision of large slope[J].Int.J.Rock Mech.Min.Sci,1997,34(3/4):511–517.
[4]许强,黄润秋,巨能攀,等.边坡岩体块体稳定性分析系统的开发与研究[J].工程地质学报,2001,9(4):408–413.(Xu Qiang,Huang Runqiu,Ju Nengpan,et al.Development and study of stability analysis system of slope blocks[J].Journal of Engineering Geology,2001,9(4):408–413.(in Chinese))
[5]何满潮,苏永华,景海河.块状岩体的稳定可靠性分析模型及其应用[J].岩石力学与工程学报,2002,21(3):343–348.(He Manchao,Su Yonghua,Jing Haihe.Reliability analysis model of blocky rockmass stability and its appliciation[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):343–348.(in Chinese))
[6]黄正加,邬爱清,盛谦.块体理论在三峡工程中的应用[J].岩石力学与工程学报,2001,20(5):648–652.(Huang Zhengjia,Wu Aiqing,Sheng Qian.Usage of block theory in the Three Gorges Projects[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(5):648–652.(in Chinese))
[7]谭晓慧.多滑面边坡的可靠性分析[J].岩石力学与工程学报,2001,20(6):822–825.(Tan Xiaohui.Reliability analysis of a slope with several slide surfaces[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(6):822–825.(in Chinese))
[8]赵奎,蔡美峰,饶运章,等.采空区块体稳定性的模糊随机可靠性研究[J].岩土力学,2003,24(6):987–990.(Zhao Kui,Cai Meifeng,Rao Yunzhang,et al.Study on fuzzy random reliability analysis for block stability in caved area[J].Rock and Soil Mechanics,2003,24(6):987–990.(in Chinese))
[9]Dodagoudar G R,Venkatachalam G.Reliability analysis of slopes using fuzzy sets theory[J].Computers and Geotechnics,2000,(27):101–115.
[10]贾厚华,贺怀建.边坡稳定模糊随机可靠度分析[J].岩土力学,2003,24(4):657–660.(Jia Houhua,He Huaijian.Analysis of fuzzy-random reliability of slope stability[J].Rock and Soil Mechanics,2003,24(4):657–660.(in Chinese))
[11]Zimmermann H J.Fuzzy Set Theory and Its Applications[M].Boston:Kluwer Academic Publishers,1991.
[12]Klir G.Fuzzy Sets:an Overview of Fundamentals,Applications and Personal Views[M].Beijing:Beijing Normal University Press,2000.
[13]王光远,刘玉彬.结构模糊随机可靠度的实用计算方法[J].地震工程与工程振动,1995,15(3):38–46.(Wang Guangyuan,Liu Yubin.Practical calculation method for fuzzy random reliability of structures[J].Earthquake Engineering and Engineering Vibration,1995,15(3):38–46.(in Chinese))
[14]Giasi C I,Masi P,Cherubini C.Probabilistic and fuzzy reliability analysis of a sample slope near Aliano[J].Engineering Geology,2003,(67):391–402.
[2]Ahn S H,Lee C I.Removability analysis of rock blocks by block theory and a probabilistic approach[J].Int.J.Rock Mech.Min.Sci,2004,41(3):1–6.
[3]Mito Y.Stochastic block theory for initial support decision of large slope[J].Int.J.Rock Mech.Min.Sci,1997,34(3/4):511–517.
[4]许强,黄润秋,巨能攀,等.边坡岩体块体稳定性分析系统的开发与研究[J].工程地质学报,2001,9(4):408–413.(Xu Qiang,Huang Runqiu,Ju Nengpan,et al.Development and study of stability analysis system of slope blocks[J].Journal of Engineering Geology,2001,9(4):408–413.(in Chinese))
[5]何满潮,苏永华,景海河.块状岩体的稳定可靠性分析模型及其应用[J].岩石力学与工程学报,2002,21(3):343–348.(He Manchao,Su Yonghua,Jing Haihe.Reliability analysis model of blocky rockmass stability and its appliciation[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):343–348.(in Chinese))
[6]黄正加,邬爱清,盛谦.块体理论在三峡工程中的应用[J].岩石力学与工程学报,2001,20(5):648–652.(Huang Zhengjia,Wu Aiqing,Sheng Qian.Usage of block theory in the Three Gorges Projects[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(5):648–652.(in Chinese))
[7]谭晓慧.多滑面边坡的可靠性分析[J].岩石力学与工程学报,2001,20(6):822–825.(Tan Xiaohui.Reliability analysis of a slope with several slide surfaces[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(6):822–825.(in Chinese))
[8]赵奎,蔡美峰,饶运章,等.采空区块体稳定性的模糊随机可靠性研究[J].岩土力学,2003,24(6):987–990.(Zhao Kui,Cai Meifeng,Rao Yunzhang,et al.Study on fuzzy random reliability analysis for block stability in caved area[J].Rock and Soil Mechanics,2003,24(6):987–990.(in Chinese))
[9]Dodagoudar G R,Venkatachalam G.Reliability analysis of slopes using fuzzy sets theory[J].Computers and Geotechnics,2000,(27):101–115.
[10]贾厚华,贺怀建.边坡稳定模糊随机可靠度分析[J].岩土力学,2003,24(4):657–660.(Jia Houhua,He Huaijian.Analysis of fuzzy-random reliability of slope stability[J].Rock and Soil Mechanics,2003,24(4):657–660.(in Chinese))
[11]Zimmermann H J.Fuzzy Set Theory and Its Applications[M].Boston:Kluwer Academic Publishers,1991.
[12]Klir G.Fuzzy Sets:an Overview of Fundamentals,Applications and Personal Views[M].Beijing:Beijing Normal University Press,2000.
[13]王光远,刘玉彬.结构模糊随机可靠度的实用计算方法[J].地震工程与工程振动,1995,15(3):38–46.(Wang Guangyuan,Liu Yubin.Practical calculation method for fuzzy random reliability of structures[J].Earthquake Engineering and Engineering Vibration,1995,15(3):38–46.(in Chinese))
[14]Giasi C I,Masi P,Cherubini C.Probabilistic and fuzzy reliability analysis of a sample slope near Aliano[J].Engineering Geology,2003,(67):391–402.
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