基于结构面抗剪强度演化的块体动力稳定性分析
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摘要
传统块体理论仅针对块体的静力稳定性分析,而未涉及到动力稳定分析。因此,借用Newmark法累积滑移量的概念,基于块体理论对定位块体在地震历时作用下的动力稳定性进行了研究,提出了以块体累积滑动位移和动安全系数两个指标共同评价块体动力稳定性。提出一种接触面识别及面积计算算法,它考虑了接触面积变化对块体稳定的不利影响,也可用于块体滑动的大变形分析,考虑了块体滑动过程中结构面抗剪强度的演化,可对复杂的凸形块体及凹形块体进行静、动力稳定性分析。将其应用于三峡升船机乘船箱左侧边坡的块体稳定分析中,结果显示块体在强震作用下发生了一段距离的滑动,但震后仍可保持稳定。
The traditional block theory is just used to analyze the static stability of the block,while not concerned with the dynamic stability analysis.Based on block theory,the located block's dynamic stability under the action of earthquake is studied by utilizing the concept of accumulated slippage of Newmark method.Several important results are obtained.① By using accumulated sliding displacement and dynamic safety factor commonly to evaluate dynamic stability of the block.② A contact area identification and area computation algorithm,considering the adverse influence on the block stability caused by the variation of contact area and can do large displacement analysis during block's sliding.③ The shear strength evolution of structural plane is considered during the earthquake.④ It can be used to do static-dynamic analysis to the complicated convex and concave blocks.At last it is applied to analyze the stability of the left slope of shiplift boat box in Three Gorges Project.The results show that the block slides for a distance in the process of the severe earthquake,but it still keeps stable after the earthquake.
The traditional block theory is just used to analyze the static stability of the block,while not concerned with the dynamic stability analysis.Based on block theory,the located block's dynamic stability under the action of earthquake is studied by utilizing the concept of accumulated slippage of Newmark method.Several important results are obtained.① By using accumulated sliding displacement and dynamic safety factor commonly to evaluate dynamic stability of the block.② A contact area identification and area computation algorithm,considering the adverse influence on the block stability caused by the variation of contact area and can do large displacement analysis during block's sliding.③ The shear strength evolution of structural plane is considered during the earthquake.④ It can be used to do static-dynamic analysis to the complicated convex and concave blocks.At last it is applied to analyze the stability of the left slope of shiplift boat box in Three Gorges Project.The results show that the block slides for a distance in the process of the severe earthquake,but it still keeps stable after the earthquake.
引文
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[13]张奇华,邬爱清.基于凹形区分类的块体几何形态分析方法[J].岩土工程学报,2005,27(3):299-303.ZHANG Qi-hua,WU Ai-qing.Morphological analysismethod of block based on classification of concavezone[J].Chinese Journal of Geotechnical Engineering,2005,27(3):299-303.
[14]张奇华.基于块体加与减算法的岩石块体几何形态分析[J].水利学报,2006,37(4):418-424.ZHANG Qi-hua.Morphological analysis of rock blocksby block adding-subtracting method[J].Journal ofHydraulic Engineering,2006,37(4):418-424.
[15]LIU JUN,LI ZHONGKUI,ZHANG ZHUOYUAN.Stability analysis of block in the surrounding rock massof a large underground excavation[J].Tunneling andUnderground Space Technology,2004,19(1):35-44.
[16]ELMOUTTIE MARC,POROPAT GEORGE,KR HENBüHL GRéGOIRE.Polyhedral modeling ofunderground excavations[J].Computers andGeotechnics,2010,4(37):529-535.
[17]LI JIANYONG,XUE JIAN,XIAO JUN.Block theory onthe complex combinations of free planes[J].Computersand Geotechnics,2012,40:127-134.
[18]MITO Y,KIKUCHI K,HIRANO I,et al.Stochastic blocktheory for initial support decision of large slope[J].International Journal of Rock Mechanics and MiningSciences,1997,34(3-4):202.e1-202.e19.
[19]HATZOR Y H,FEINTUCH A.The joint intersectionprobability[J].International Journal of RockMechanics and Mining Sciences,2005,42(4):531-541.
[20]HATZOR Y H,TALESNICK M,TSESARSKY M.Continuous and discontinuous stability analysis of thebell-shaped caverns at Bet Guvrin,Israel[J].International Journal of Rock Mechanics and MiningSciences,2002,39(7):867-886.
[21]SCOTT G A,KOTTENSTETTE J T.Tunneling under theApache Trail[J].International Journal of RockMechanics and Mining Sciences&GeomechanicsAbstracts,1993,30(7):1485-1489.
[22]KOTTENSTETTE J T.Block theory techniques used inarch dam foundation stability analysis[J].InternationalJournal of Rock Mechanics and Mining Sciences,1997,34(3-4):163.e1-163.e19.
[23]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.Applicationof key block theory to analysis of rock stability forunderground plant in Baise hydraulic project[J].ChineseJournal of Rock Mechanics and Engineering,2004,23(15):2609-2614.
[24]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 theoryto the stability of Longtan hydropower stationunderground power-house[J].Chinese Journal of RockMechanics and Engineering,2005,24(8):1308-1314.
[25]杨庆,杨钢,王忠昶,等.块体理论在荒沟抽水蓄能电站地下厂房系统硐室群围岩稳定性分析中的应用[J].岩石力学与工程学报,2007,26(8):1618-1624.YANG Qing,YANG Gang,WANG Zhong-chang,et al.Application of block theory to surrounding rock stabilityof underground caverns in Huanggou pumped storagestation[J].Chinese Journal of Rock Mechanics andEngineering,2007,26(8):1618-1624.
[26]KULATILAKE P H S W,WANG LIANGQING,TANGHUIMING.Evaluation of rock slope stability for YujianRiver dam site by kinematic and block theory analyses[J].Computers and Geotechnics,2011,38(6):846-860.
[27]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:水利电力出版社,1988.
[28]徐栋栋.基于块体理论的块体动力稳定分析方法及应用[硕士学位论文D].武汉:长江科学院,2011.
[29]NEWMARK N M.Effects of earthquakes on dams andembankments[J].Geotechnique,1965,15(2):139-160.
[2]王思敬,张菊明.岩体结构稳定性的块体力学分析[J].地质科学,1980,(1):19-33.WANG Si-jing,ZHANG Ju-ming.On the blockmechanics for stability analysis of rock mass structure[J].Chinese Journal of Geology,1980,(1):19-33.
[3]张菊明,王思敬.边坡岩体结构的三维失稳形式及稳定性分析研究[J].工程地质学报,1997,5(3):242-249.ZHANG Ju-ming,WANG Si-jing.On the 3D unstablerocks and stability analysis of slope rock mass structure[J].Journal of Engineering Geology,1997,5(3):242-249.
[4]刘汉东.考虑地震历时影响的岩质边坡楔体稳定性分析与计算[J].华北水利水电学院学报,1991,(4):35-40.LIU Han-dong.Analysis and computation of slidingwedge in rock mass considered influence of earthquakehistorical time[J].Journal of North China Institute ofWater Conservancy and Hydroelectric Power,1991,(4):35-40.
[5]陶丽娜,张建海,何江达.楔形块体的动力稳定分析[J].四川大学学报(工程科学版),2002,34(3):24-27.TAO Li-na,ZHANG Jian-hai,HE Jiang-da.The dynamicstability assessment of wedge blocks[J].Journal ofSichuan University(Engineering Science Edition),2002,34(3):24-27.
[6]王思敬,薛守义.岩体边坡楔形体动力学分析[J].地质科学,1992,(2):177-182.WANG Si-jing,XUE Shou-yi.Dynamic analysis ofwedge sliding on rock slopes[J].Chinese Journal ofGeology(Scientia Geologica Sinica),1992,(2):177-182.
[7]石根华.岩体稳定性分析的赤平投影方法[J].中国科学(A辑),1977,(3):260-271.SHI Gen-hua.Stereographic projection methods on rockblock stability analysis[J].Science in China(Ser.A),1977,(3):260-271.
[8]GOODMAN R E,SHI G H.Block theory and itsapplication to rock engineering[M].Englewood Cliffs:Prentice-hall Inc.,1985.
[9]陈斗勇,蒋晓晃.岩体转动的块体理论分析[J].岩土力学,1997,18(3):24-28.CHEN Dou-yong,JIANG Xiao-huang.Treatment of rockblock rotation by block theory[J].Rock and SoilMechanics,1997,18(3):24-28.
[10]张子新,孙钧.分形块体理论及其在三峡高边坡工程中的应用[J].同济大学学报(自然科学版),1996,24(5):552-557.ZHANG Zi-xin,SUN Jun.Fractal block theory and itsapplication to the high slope of the three gorges project ofthe Yangtze River[J].Journal of Tongji University(Natural Science),1996,24(5):552-557.
[11]MAULDON M,CHOU K C,WU Y.Limit analysis of 2-dtunnel keyblocks[J].International Journal of RockMechanics and Mining Sciences,1997,34(3-4):193.
[12]邬爱清.三峡工程临时船闸及升船机岩体边坡块体稳定性及加固效果研究[R].武汉:长江科学院,1997.
[13]张奇华,邬爱清.基于凹形区分类的块体几何形态分析方法[J].岩土工程学报,2005,27(3):299-303.ZHANG Qi-hua,WU Ai-qing.Morphological analysismethod of block based on classification of concavezone[J].Chinese Journal of Geotechnical Engineering,2005,27(3):299-303.
[14]张奇华.基于块体加与减算法的岩石块体几何形态分析[J].水利学报,2006,37(4):418-424.ZHANG Qi-hua.Morphological analysis of rock blocksby block adding-subtracting method[J].Journal ofHydraulic Engineering,2006,37(4):418-424.
[15]LIU JUN,LI ZHONGKUI,ZHANG ZHUOYUAN.Stability analysis of block in the surrounding rock massof a large underground excavation[J].Tunneling andUnderground Space Technology,2004,19(1):35-44.
[16]ELMOUTTIE MARC,POROPAT GEORGE,KR HENBüHL GRéGOIRE.Polyhedral modeling ofunderground excavations[J].Computers andGeotechnics,2010,4(37):529-535.
[17]LI JIANYONG,XUE JIAN,XIAO JUN.Block theory onthe complex combinations of free planes[J].Computersand Geotechnics,2012,40:127-134.
[18]MITO Y,KIKUCHI K,HIRANO I,et al.Stochastic blocktheory for initial support decision of large slope[J].International Journal of Rock Mechanics and MiningSciences,1997,34(3-4):202.e1-202.e19.
[19]HATZOR Y H,FEINTUCH A.The joint intersectionprobability[J].International Journal of RockMechanics and Mining Sciences,2005,42(4):531-541.
[20]HATZOR Y H,TALESNICK M,TSESARSKY M.Continuous and discontinuous stability analysis of thebell-shaped caverns at Bet Guvrin,Israel[J].International Journal of Rock Mechanics and MiningSciences,2002,39(7):867-886.
[21]SCOTT G A,KOTTENSTETTE J T.Tunneling under theApache Trail[J].International Journal of RockMechanics and Mining Sciences&GeomechanicsAbstracts,1993,30(7):1485-1489.
[22]KOTTENSTETTE J T.Block theory techniques used inarch dam foundation stability analysis[J].InternationalJournal of Rock Mechanics and Mining Sciences,1997,34(3-4):163.e1-163.e19.
[23]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.Applicationof key block theory to analysis of rock stability forunderground plant in Baise hydraulic project[J].ChineseJournal of Rock Mechanics and Engineering,2004,23(15):2609-2614.
[24]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 theoryto the stability of Longtan hydropower stationunderground power-house[J].Chinese Journal of RockMechanics and Engineering,2005,24(8):1308-1314.
[25]杨庆,杨钢,王忠昶,等.块体理论在荒沟抽水蓄能电站地下厂房系统硐室群围岩稳定性分析中的应用[J].岩石力学与工程学报,2007,26(8):1618-1624.YANG Qing,YANG Gang,WANG Zhong-chang,et al.Application of block theory to surrounding rock stabilityof underground caverns in Huanggou pumped storagestation[J].Chinese Journal of Rock Mechanics andEngineering,2007,26(8):1618-1624.
[26]KULATILAKE P H S W,WANG LIANGQING,TANGHUIMING.Evaluation of rock slope stability for YujianRiver dam site by kinematic and block theory analyses[J].Computers and Geotechnics,2011,38(6):846-860.
[27]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:水利电力出版社,1988.
[28]徐栋栋.基于块体理论的块体动力稳定分析方法及应用[硕士学位论文D].武汉:长江科学院,2011.
[29]NEWMARK N M.Effects of earthquakes on dams andembankments[J].Geotechnique,1965,15(2):139-160.
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