地下硐室节理岩体区间非概率可靠性分析方法及应用
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摘要
首先提出采用区间值表示岩体力学参数取值,以反映参数取值的不确定性特征,并根据参数取值特性建立出相应参数的区间值确定方法;其次,综合考虑地下硐室地质条件及其裂隙较多的特点,采用适合于裂隙岩体稳定性分析的块体理论,在研究围岩稳定性进行分析的基础之上建立地下硐室节理岩体的区间非概率可靠性分析模型;然后,运用区间理论与一维优化算法求解非概率可靠性指标,并采用可靠性评价准则对地下硐室岩体稳定性进行综合评价。由于需考虑的裂隙多而导致计算量较大,因此分析方法采用了可实现程序化的矢量分析法,应用数值软件MATLAB编制计算程序。该程序通过输入结构面产状,力学参数等工程数据,依次分析各关键块体,得到滑动方向、区间可靠度等相关信息,从而为地下硐室群的开挖施工提供指导。
Firstly,the interval values are presented to denote the mechanical parameters of rock mass,which can reflect the uncertain character during determining the parameters.The determining methods are also proposed according to the character of the parameters.Secondly,according to the engineering geological condition and characteristics of plenty of fractures,the block theory is adopted to analyze stability of surrounding rock mass of underground caverns,and an interval non-probabilistic reliability model of surrounding jointed rock mass of underground caverns is also developed based on the stability analysis.Thirdly,the solution of non-probabilistic reliability indexes is performed by means of the interval theory and the one-dimensional optimization algorithm.The synthetic evaluation is carried out through the established reliability evaluation rules.According to the elements of vector analysis method,the numerical software MATLAB is employed to compile the program applicable to underground caverns.The program needs to input joints,measuring point direction,mechanical parameters,vertical wall height of underground caverns and other relevant engineering data,to search existing unstable rock blocks in ranges of underground caverns and to analyze boundary conditions,geometric parameters,failure modes and interval non-probabilistic reliability of each block in turn.Accordingly,sliding direction,non-probabilistic reliability and other relevant information of the key block are obtained.The information will provide guidance for excavation of underground caverns.
Firstly,the interval values are presented to denote the mechanical parameters of rock mass,which can reflect the uncertain character during determining the parameters.The determining methods are also proposed according to the character of the parameters.Secondly,according to the engineering geological condition and characteristics of plenty of fractures,the block theory is adopted to analyze stability of surrounding rock mass of underground caverns,and an interval non-probabilistic reliability model of surrounding jointed rock mass of underground caverns is also developed based on the stability analysis.Thirdly,the solution of non-probabilistic reliability indexes is performed by means of the interval theory and the one-dimensional optimization algorithm.The synthetic evaluation is carried out through the established reliability evaluation rules.According to the elements of vector analysis method,the numerical software MATLAB is employed to compile the program applicable to underground caverns.The program needs to input joints,measuring point direction,mechanical parameters,vertical wall height of underground caverns and other relevant engineering data,to search existing unstable rock blocks in ranges of underground caverns and to analyze boundary conditions,geometric parameters,failure modes and interval non-probabilistic reliability of each block in turn.Accordingly,sliding direction,non-probabilistic reliability and other relevant information of the key block are obtained.The information will provide guidance for excavation of underground caverns.
引文
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[7]毛海和,夏才初,张子新,等.块体理论赤平解析法在龙滩水电站地下厂房洞室群稳定分析中的应用[J].岩石力学与工程学报,2005,24(8):1308–1314.(MAO Hai-he,XIA Cai-chu,ZHANG Zi-xin,et al.Application of stereo-analytical method for block theory to the stability of Longtan hydropower station underground power-house[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1308–1314.(in Chinese))
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[9]朱晟,张发明,庞正江,等.西龙池抽水蓄能电站地下厂房随机块体稳定性分析[J].岩石力学与工程学报,2005,24(14):2513–2517.(ZHU Sheng,ZHANG Fa-ming,PANG Zheng-jiang,et al.Stability analysis of random block rock of underground power houses of XiLongchi pumped storage plant[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(14):2513–2517.(in Chinese))
[10]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 Man-chao,SU Yong-hua,JING Hai-he.Reliabilty analysis model of blocky rockmass stability and its application[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):343–348.(in Chinese))
[11]ISAAC Elishakoff.Uncertainties in mechanical structures:AMF reudenthal’s criticisms and modern convex models[J].Journal of Applied Mechanics,1999,63(1):683–692.
[12]阚卫明,孙万禾,闫澍旺.根据土的抗剪强度指标变异性和安全域检验地基承载力的可靠性[J].土木工程学报,2001,34(2):101–104.(KAN Wei-ming,SUN Wan-he,YAN Shu-wang.Reliability analysis for bearing capacity of foundation based on variation of shear strength and safety zone[J].China Civil Engineering Journal,2001,34(2):101–104.(in Chinese))
[13]POPESCU R,DEODATISB G,NOBAHARC A.Effects of random heterogeneity of soil properties on bearing capacity[J].Probabilistic Engineering Mechanics,2005,20(6):324–341.
[14]郭书祥,吕震宙,冯元生.基于区间分析的结构非概率可靠性模型[J].计算力学学报,2001,18(1):56–60.(GUO Shu-xiang,LüZhen-zhou,FENG Yuan-sheng.A non-probabilistic model of structural reliability based on interval analysis[J].Journal of Computational Mechanics,2001,18(1):56–60.(in Chinese))
[15]郭书祥,吕震宙.结构体系的非概率可靠性分析方法[J].计算力学学报,2002,19(3):332–335.(GUO Shu-xiang,LüZhen-zhou.A procedure of the analysis of non-probabilistic reliability of structural systems[J].Chinese Journal of Computational Mechanics,2002,19(3):332–335.(in Chinese))
[16]YAKOV Ben-Haim,COGAN S,SANSEIGNE L.Usability of convex models in mechanical decision processes[J].Mechanical Systems and Signal Processing,1998,12(1):121–134.
[17]江涛,陈建军,姜培刚,等.区间模型非概率可靠性指标的一维优化算法[J].工程力学,2007,24(7):23–27.(JIANG Tao,CHEN Jian-jun,JIANG Pei-gang,et al.A one-dimensional optimization algorithm for non-probabilistic reliability index[J].Engineering Mechanics,2007,24(7):23–27.(in Chinese))
[18]ALEFELD Gotz,MAYER Gunter.Interval analysis:theory and applications[J].Journal of Computational and Applied Mathenatics,2000,121:421–464.
[19]董陇军,李夕兵.岩石试验抗压、抗拉区间强度及代表值可信度研究[J].岩土工程学报,2010,32(12):1969–1974.(DONG Long-jun,LI Xi-bing.Study of interval parameters and credibility of representative value of rock tensile and compression strength tests[J].Chinese Journal of Geotechnical Engineering,2010,32(12):1969–1974.(in Chinese))
[20]董陇军,赵国彦,宫凤强,等.未确知均值分级方法及在回采巷道围岩分类中的应用[J].解放军理工大学学报(自然科学版),2009,10(6):575–579.(DONG Long-jun,ZHAO Guo-yan,GONG Feng-qiang,et al.Unascertained average classification method for classifying surrounding rocks of mining roadways[J].Journal of PLA University of Science and Technology(Natural Science Edition),2009,10(6):575–579.(in Chinese))
[21]董陇军,李夕兵,宫凤强.膨胀土胀缩等级分类的未确知均值聚类方法及应用[J].中南大学学报(自然科学版),2008,39(5):1075–1080.(DONG Long-jun,LI Xi-bing,GONG Feng-qiang.Unascertained average clustering method for classification of grade of shrink and expansion for expansive soils and its application[J].Journal of Central South University(Science and Technology),2008,39(5):1075–1080.(in Chinese))
[22]董陇军,李夕兵,宫凤强.开采地面沉陷预测的未确知聚类预测模型[J].中国地质灾害与防治学报,2008,19(2):95–99.(DONG Long-jun,LI Xi-bing,GONG Feng-qiang.Predicting surface subsidence induced by mining based on unascertained clustering method[J].Chinese Journal of Geological Hazard and Control,2008,19(2):95–99.(in Chinese))
[23]董陇军,王飞跃.基于未确知测度的边坡地震稳定性综合评价[J].中国地质灾害与防治学报,2007,18(4):74–78.(DONG Long-jun,WANG Fei-yue.Comprehensive evaluation on seismic stability of slopes based on unascertained measurement[J].Chinese Journal of Geological Hazard and Control,2007,18(4):74–78.(in Chinese))
[24]DONG Long-jun,PENG Gang-jian,FU Yu-hua,et al.Unascertained measurement classifying model of goaf collapse prediction[J].Journal of Coal Science&Engineering,2008,14(2):221–224.
[2]石根华.岩体稳定分析的几何方法[J].中国科学,1978,4:487–495.(SHI Gen-hua.Geometrical approach of rock mass stabilization in rock mass stability analysis[J].Science in China,1978,4:487–495.(in Chinese))
[3]刘锦华,吕祖珩.块体理论在工程岩体稳定分析中的应用[M].北京:水利水电出版社,1988.(LIU Jin-hua,LüZu-heng.The application of block theory to engineering rock mass stability[M].Beijing:China WaterPower Press,1988.(in Chinese))
[4]王思敬,杨志法,刘竹华.地下工程岩体稳定分析[M].北京:科学出版社,1984.(WANG Si-jing,YANG Zhi-fa,LIU Zhu-hua.The rock mass stability analysis for underground engineering[M].Beijing:Science Press,1984.(in Chinese))
[5]张奇华,邬爱清,石根华.关键块体理论在百色水利枢纽地下厂房岩体稳定性分析中的应用[J].岩石力学与工程学报,2004,23(15):2609–2614.(ZHANG Qi-hua,WU Ai-qing,SHI Gen-hua.Application of key block theory to analysis of rock stability for underground plant in Baise hydraulic project[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(15):2609–2614.(in Chinese))
[6]张子新,孙钧.块体理论赤平解析法及其在硐室稳定分析中的应用[J].岩石力学与工程学报,2002,21(12):1756–1760.(ZHANG Zi-xin,SUN Jun.Stereo-analytic method for block theory and its application in stability analysis of a cave[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(12):1756–1760.(in Chinese))
[7]毛海和,夏才初,张子新,等.块体理论赤平解析法在龙滩水电站地下厂房洞室群稳定分析中的应用[J].岩石力学与工程学报,2005,24(8):1308–1314.(MAO Hai-he,XIA Cai-chu,ZHANG Zi-xin,et al.Application of stereo-analytical method for block theory to the stability of Longtan hydropower station underground power-house[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1308–1314.(in Chinese))
[8]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 Zheng-jia,WU Ai-qing,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))
[9]朱晟,张发明,庞正江,等.西龙池抽水蓄能电站地下厂房随机块体稳定性分析[J].岩石力学与工程学报,2005,24(14):2513–2517.(ZHU Sheng,ZHANG Fa-ming,PANG Zheng-jiang,et al.Stability analysis of random block rock of underground power houses of XiLongchi pumped storage plant[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(14):2513–2517.(in Chinese))
[10]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 Man-chao,SU Yong-hua,JING Hai-he.Reliabilty analysis model of blocky rockmass stability and its application[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):343–348.(in Chinese))
[11]ISAAC Elishakoff.Uncertainties in mechanical structures:AMF reudenthal’s criticisms and modern convex models[J].Journal of Applied Mechanics,1999,63(1):683–692.
[12]阚卫明,孙万禾,闫澍旺.根据土的抗剪强度指标变异性和安全域检验地基承载力的可靠性[J].土木工程学报,2001,34(2):101–104.(KAN Wei-ming,SUN Wan-he,YAN Shu-wang.Reliability analysis for bearing capacity of foundation based on variation of shear strength and safety zone[J].China Civil Engineering Journal,2001,34(2):101–104.(in Chinese))
[13]POPESCU R,DEODATISB G,NOBAHARC A.Effects of random heterogeneity of soil properties on bearing capacity[J].Probabilistic Engineering Mechanics,2005,20(6):324–341.
[14]郭书祥,吕震宙,冯元生.基于区间分析的结构非概率可靠性模型[J].计算力学学报,2001,18(1):56–60.(GUO Shu-xiang,LüZhen-zhou,FENG Yuan-sheng.A non-probabilistic model of structural reliability based on interval analysis[J].Journal of Computational Mechanics,2001,18(1):56–60.(in Chinese))
[15]郭书祥,吕震宙.结构体系的非概率可靠性分析方法[J].计算力学学报,2002,19(3):332–335.(GUO Shu-xiang,LüZhen-zhou.A procedure of the analysis of non-probabilistic reliability of structural systems[J].Chinese Journal of Computational Mechanics,2002,19(3):332–335.(in Chinese))
[16]YAKOV Ben-Haim,COGAN S,SANSEIGNE L.Usability of convex models in mechanical decision processes[J].Mechanical Systems and Signal Processing,1998,12(1):121–134.
[17]江涛,陈建军,姜培刚,等.区间模型非概率可靠性指标的一维优化算法[J].工程力学,2007,24(7):23–27.(JIANG Tao,CHEN Jian-jun,JIANG Pei-gang,et al.A one-dimensional optimization algorithm for non-probabilistic reliability index[J].Engineering Mechanics,2007,24(7):23–27.(in Chinese))
[18]ALEFELD Gotz,MAYER Gunter.Interval analysis:theory and applications[J].Journal of Computational and Applied Mathenatics,2000,121:421–464.
[19]董陇军,李夕兵.岩石试验抗压、抗拉区间强度及代表值可信度研究[J].岩土工程学报,2010,32(12):1969–1974.(DONG Long-jun,LI Xi-bing.Study of interval parameters and credibility of representative value of rock tensile and compression strength tests[J].Chinese Journal of Geotechnical Engineering,2010,32(12):1969–1974.(in Chinese))
[20]董陇军,赵国彦,宫凤强,等.未确知均值分级方法及在回采巷道围岩分类中的应用[J].解放军理工大学学报(自然科学版),2009,10(6):575–579.(DONG Long-jun,ZHAO Guo-yan,GONG Feng-qiang,et al.Unascertained average classification method for classifying surrounding rocks of mining roadways[J].Journal of PLA University of Science and Technology(Natural Science Edition),2009,10(6):575–579.(in Chinese))
[21]董陇军,李夕兵,宫凤强.膨胀土胀缩等级分类的未确知均值聚类方法及应用[J].中南大学学报(自然科学版),2008,39(5):1075–1080.(DONG Long-jun,LI Xi-bing,GONG Feng-qiang.Unascertained average clustering method for classification of grade of shrink and expansion for expansive soils and its application[J].Journal of Central South University(Science and Technology),2008,39(5):1075–1080.(in Chinese))
[22]董陇军,李夕兵,宫凤强.开采地面沉陷预测的未确知聚类预测模型[J].中国地质灾害与防治学报,2008,19(2):95–99.(DONG Long-jun,LI Xi-bing,GONG Feng-qiang.Predicting surface subsidence induced by mining based on unascertained clustering method[J].Chinese Journal of Geological Hazard and Control,2008,19(2):95–99.(in Chinese))
[23]董陇军,王飞跃.基于未确知测度的边坡地震稳定性综合评价[J].中国地质灾害与防治学报,2007,18(4):74–78.(DONG Long-jun,WANG Fei-yue.Comprehensive evaluation on seismic stability of slopes based on unascertained measurement[J].Chinese Journal of Geological Hazard and Control,2007,18(4):74–78.(in Chinese))
[24]DONG Long-jun,PENG Gang-jian,FU Yu-hua,et al.Unascertained measurement classifying model of goaf collapse prediction[J].Journal of Coal Science&Engineering,2008,14(2):221–224.
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