基于滑动面深度的地震作用下边坡强度参数反分析
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摘要
边坡参数反演是获取边坡强度参数的重要手段。与传统的安全系数及位移反分析不同,提出了基于滑动面深度的边坡参数反演方法。基于极限分析上限定理,利用拟静力方法,计算了地震力作用下边坡的外力功率与内能耗散表达式,并结合强度折减法,推导了简单边坡在地震力作用下的安全系数公式。利用优化算法得到边坡的最小安全系数后,可以求出边坡在地震力作用下临界滑动面的方程,得到边坡不同位置的滑动面深度。并利用滑动面深度对强度参数进行反演。计算结果表明,随着地震加速度的增大,边坡的滑动面深度逐渐增大。通过数值计算与工程实例的对比,证明新方法是有效可靠的。
Back analysis is an important means for obtaining slope strength parameter.Different from traditional back analysis based on safety factor and soil displacement,a new back analysis method of slop parameter based on slip surface depth is proposed.Based on the upper-bound theorem of limit analysis and quasi-static method,the external force power and internal energy dissipation of slope under earthquake is calculated.With strength reduction method,the safety coefficient formula of normal slope is derived under earthquake is derived.Using the minimum safety factor obtained by optimized algorithm,the equation of critical slip surface and the slip surface depth of different positions are solved.Based on this,the slope strength parameters are back analysed.The calculated result shows that the depth of slip surface increases with the increase of earthquake acceleration.Comparing the results of the numerical calculation with engineering example,it is proved that this method is effective and reliable.
Back analysis is an important means for obtaining slope strength parameter.Different from traditional back analysis based on safety factor and soil displacement,a new back analysis method of slop parameter based on slip surface depth is proposed.Based on the upper-bound theorem of limit analysis and quasi-static method,the external force power and internal energy dissipation of slope under earthquake is calculated.With strength reduction method,the safety coefficient formula of normal slope is derived under earthquake is derived.Using the minimum safety factor obtained by optimized algorithm,the equation of critical slip surface and the slip surface depth of different positions are solved.Based on this,the slope strength parameters are back analysed.The calculated result shows that the depth of slip surface increases with the increase of earthquake acceleration.Comparing the results of the numerical calculation with engineering example,it is proved that this method is effective and reliable.
引文
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[12]WANG J,YAO L K,HUSSAIN A.Analysis ofEarthquake-Triggered Failure Mechanisms of Slopes andSliding Surfaces[J].Journal of Mountain Science,2010,7(3):282-290.
[13]SKEMPTOM A W.Long-term Stability of Clay Slopes[J].Géotechnique,1964,14(2):77-102.
[2]肖治宇,陈昌富,季永新.基于滑块面积加权平均滑坡滑面抗剪强度指标准三维反分析法[J].公路交通科技,2011,28(3):1-5.XIAO Zhi-yu,CHEN Chang-fu,JI Yong-xin.A Quasi-3D Back Analysis Method of Shear Strength Index ofLandslide Based on Slider Area Weighted Average Method[J].Journal of Highway and Transportation Research andDevelopment,2011,28(3):1-5.
[3]SHANG Y J,CAI J G,HAO W D,et al.Intelligent BackAnalysis of Displacements Using Precedent Type Analysisfor Tunneling[J].Tunnelling and Underground SpaceTechnology,2002,17(4):381-389.
[4]孙志彬,杨小礼,黄阜.基于模糊数学和粒子群算法的边坡参数反分析[J].华南理工大学学报:自然科学版,2011,39(6):137-141.SUN Zhi-bin,YANG Xiao-li,HUANG Fu.InversionAnalysis of Slope Parameters Based on Fuzzy Mathematicsand Particle Swarm Optimization Algorithm[J].Journalof South China University of Technology:Natural ScienceEdition,2011,39(6):137-141.
[5]高玮,郑颖人.基于遗传算法的岩土本构模型辨识[J].岩石力学与工程学报,2002,21(1):9-12.GAO Wei,ZHENG Ying-ren.Identification of theGeomaterial Constitutive Model Based on GeneticAlgorithm[J].Chinese Journal of Rock Mechanics andEngineering,2002,21(1):9-12.
[6]邓建辉,李焯芬,葛修润.岩石边坡松动区与位移反分析[J].岩石力学与工程学报,2001,20(2):171-174.DENG Jian-hui,LEE C F,GE Xiu-run.Disturbed Zonesand Displacement Back Analysis for Rock Slopes[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(2):171-174.
[7]张建国,张强勇,杨文东,等.大岗山水电站坝区初始地应力场反演分析[J].岩土力学,2009,30(10):3072-3078.ZHANG Jian-guo,ZHANG Qiang-yong,YANG Wen-dong,et al.Regression Analysis of Initial Geostress Fieldin Dam Zone of Dagangshan Hydropower Station[J].Rock and Soil Mechanics,2009,30(10):3072-3078.
[8]YANG X L,LI L,YIN J H.Seismic and Static StabilityAnalysis for Rock Slopes by a Kinematical Approch[J].Géotechnique,2004,54(8):543-549.
[9]JIANG J C,YAMAGAMI T.Charts for EstimatingStrength Parameters from Slips in Homogeneous Slopes[J].Computers and Geotechnics,2006,33(6/7):294-304.
[10]GHORBANI M,SHARIFZADEH M.Long Term StabilityAssessment of Siah Bisheh Powerhouse Cavern Based onDisplacement Back Analysis Method[J].Tunnelling andUnderground Space Technology,2009,24(5):574-583.
[11]MILLER T W,HAMILTON J H.A New AnalysisProcedure to Explain A Slope Failure at the Martin LakeMine[J].Géotechnique,1989,39(1):107-123.
[12]WANG J,YAO L K,HUSSAIN A.Analysis ofEarthquake-Triggered Failure Mechanisms of Slopes andSliding Surfaces[J].Journal of Mountain Science,2010,7(3):282-290.
[13]SKEMPTOM A W.Long-term Stability of Clay Slopes[J].Géotechnique,1964,14(2):77-102.
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