曾勇,李亚军,刘翔宇,伍雨,李萱,龙振宇,甘永波

• 1:中国地质大学(北京)工程技术学院
• 2:中国核电工程有限公司
• 3:中国地质大学(北京)经济管理学院

摘要(Abstract)：

在边坡相关的研究中考虑岩土参数的随机性和不确定性,可充分了解岩土参数空间变异性带来的影响。为此,通过随机有限元方法建立二维土性参数随机场,基于Monte Carlo方法构建随机有限元计算程序,进行了8 400组数值模拟实验,运用概率分析方法,通过对比确定性情况下得到的均质边坡滑动面的深度来研究岩土体参数空间变异性对边坡滑动深度的影响。结果表明:(1)考虑各向异性非均质的土坡分析比均质土坡分析得到的滑动深度更符合实际结果;(2)在考虑岩土参数空间变异性时,无论其各向异性如何变化,滑坡最大概率发生滑动的深度范围总是一致的;(3)不同的各向异性值实际体现为土体的分层,土体分层将影响滑坡的滑动深度,其他条件不变的情况下,边坡的各向异性值越大(土体分层越明显),深层破坏的概率越小。研究成果有利于引导进一步研究更接近"自然"状态的边坡,对于工程项目的预警和防治有参考价值。

关键词(KeyWords)： 岩土参数;各向异性;极限滑动深度;随机有限元;数值模拟

Abstract:

Keywords:

基金项目(Foundation): 中国地质大学(北京)大学生创新计划(X201911415071);; 水利部土石坝破坏机理与防控技术重点实验室开放研究基金(YK319004)

作者(Author): 曾勇,李亚军,刘翔宇,伍雨,李萱,龙振宇,甘永波

DOI: 10.13928/j.cnki.wrahe.2021.01.017

参考文献(References)：

• [1] 姚敬茹.岩土参数空间相关性与随机场模拟研究及应用[D].济南:山东建筑大学,2018.YAO Jingru.Study and application on the spatial correlation of soil parameters and random filed simulation[D].Jinan:Shandong Jianzhu University,2018.
• [2] 王长虹,朱合华,徐子川,等.考虑岩土参数空间变异性的盾构隧道地表沉降分析[J].岩土工程学报,2017,40(2):270- 277.WANG Changhong,ZHU Hehua,XU Zichuan,et al.Ground surface settlement of shield tunnels considering spatial variability of multiple geotechnical parameters[J].Chinese Journal of Geotechnical Engineering,2017,40(2):270- 277.
• [3] 吴振君.土体参数空间变异性模拟和土坡可靠度分析方法应用研究[D].武汉:中国科学院研究生院(武汉岩土力学研究所),2009.WU Zhenjun.Study on spatial variability simulation of soil properties and practical reliability analysis method of soil slope[D].Wuhan:Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,2009.
• [4] SUNG E C.Probabilistic assessment of slope stability that considers the spatial variability of soil properties[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,136(7):975- 984.
• [5] ZHU H,ZHANG L M,ZHANG L L,et al.Two-dimensional probabilistic infiltration analysis with a spatially varying permeability function[J].Computers and Geotechnics,2013,48:249- 259.
• [6] 夏侯云山,张抒,唐辉明,等.考虑参数空间变异结构的结构化交叉约束随机场模拟方法研究[J].岩土力学,2019,40(12):4935- 4945.XIAHOU Yunshan,ZHANG Shu,TANG Huiming,et al.Study of structural cross-constraint random field simulation method considering spatial variation structure of parameters[J].Rock and Soil Mechanics,2019,40(12):4935- 4945.
• [7] 张征,刘淑春,鞠硕华.岩土参数空间变异性分析原理与最优估计模型[J].岩土工程学报,1996,18(4):43- 50.ZHANG Zheng,LIU Shuchun,JU Shuohua.The optimum estimation model and the principle of spatial variability analysis of rock and soil parameters[J].Chinese Journal of Geotechnical Engineering,1996,18(4):43- 50.
• [8] 胡小荣,唐春安.岩土力学参数随机场的离散研究[J].岩土工程学报,1999,21(4):450- 455.HU Xiaorong,TANG Chunan.Research on discretion of the random field of rock and soil mechanical parameters[J].Chinese Journal of Geotechnical Engineering,1999,21(4):450- 455.
• [9] 胡小荣,唐春安.岩土力学参数随机场的空间变异性分析及单元体力学参数赋值研究[J].岩石力学与工程学报,2000,19(1):59- 63.HU Xiaorong,TANG Chunan.Spatial variation analysis on the random field of mechanical parameters for rock and soil and the parameter estimation of elements[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(1):59- 63.
• [10] 王栋,金霞.考虑强度各向异性的边坡稳定有限元分析[J].岩土力学,2008,29(3):667- 672.WANG Dong,JIN Xia.Slope stability analysis by finite elements considering strength anisotropy[J].Rock and Soil Mechanics,2008,29(3):667- 672.
• [11] 刘亚栋,杨雪强,徐雷,等.考虑土体强度各向异性的边坡稳定性分析[J].广东工业大学学报,2018,35(6):57- 62.LIU Yadong,YANG Xueqiang,XU Lei,et al.A stability analysis of slope considering strength anisotropy in soils[J].Journal of Guangdong University of Technology,2018,35(6):57- 62.
• [12] HICKS M A,CHEN J,SPENCER W A.Influence of spatial variability on 3D slope failures[C]//Risk Analysis VI:Simulation and Hazard Mitigation.Billerica:MIT Press,2008,335- 342.
• [13] 王旭,刘东升,宋强辉,等.基于极限平衡法的边坡稳定性可靠度分析[J].地下空间与工程学报,2016,12(3):839- 844.WANG Xu,LIU Dongsheng,SONG Qianghui,et al.Slope stability reliability analysis based on limit equilibrium methods[J].Chinese Journal of Underground Space and Engineering,2016,12(3):839- 844.
• [14] 王家臣,谭文辉.边坡渐进破坏三维随机分析[J].煤炭学报,1997,32(1):29- 33.WANG Jiachen,TAN Wenhui.Three dimensional stochastic analysis of slope progressive failure[J].Journal of China Coal Society,1997,32(1):29- 33.
• [15] 李秀珍,张小红.基于Mein-Larson入渗模型的降雨滑坡失稳破坏概率研究[J].水土保持通报,2017,37(1):219- 223.LI Xiuzhen,ZHANG Xiaohong.A study of instability probability of rainfall-induced landslides based on Mein-Larson infiltration model[J].Bulletin of Soil and Water Conservation,2017,37(1):219- 223.
• [16] 丁鑫品,王俊,李伟,等.关键层耦合作用下露井联采边坡滑动深度分析[J].煤炭学报,2004,39(S2):354- 358.DING Xinpin,WANG Jun,LI Wei,et al.Analysis of slope sliding depth for open-underground combined mining under coupling effects about key strata[J].Journal of China Coal Society,2004,39(S2):354- 358.
• [17] 杨云芳,张作宏,傅军.边坡滑动范围和深度的探地雷达勘定[J].浙江理工大学学报,2019,26(3):395- 398.YANG Yunfang,ZHANG Zuohong,FU Jun.Detection of GPR and determination of district and depth on landslide area[J].Journal of Zhejiang Sci-Tech University,2019,26(3):395- 398.
• [18] 李亚军,刘斯宏,傅中志,等.多层地基土坡的随机有限元模型不同参数比较分析[J].岩土工程学报,2014,36(1):162- 169.LI Yajun,LIU Sihong,FU Zhongzhi,et al.Comparative study on different parameters of random finite element models for an embankment supported by multilayered foundations[J].Chinese Journal of Geotechnical Engineering,2014,36(1):162- 169.
• [19] 张明明,李亚军,刘翔宇,等.考虑土层边界不确定性的边坡稳定性概率分析[J].水利水电技术,2020,51(2):162- 169.ZHANG Mingming,LI Yajun,LIU Xiangyu,et al.Soil layer boundary uncertainty-considered probabilistic analysis on slope stability[J].Water Resources and Hydropower Engineering,2020,51(2):162- 169.
• [20] 何贻海.基于Monte-Carlo随机有限元方法的自然对流不确定性研究[D].长沙:长沙理工大学,2017.HE Yihai.Uncertainty research of natural convection based on Monte-Carlo stochastic finite element method[D].Changsha:Changsha University of Science & Technology,2017.
• [21] 许文达.基于蒙特卡洛—有限元法的边坡可靠度分析[J].福州大学学报(自然科学版),2004,32(1):73- 77.XU Wenda.Reliability analysis of slope based on Monte Carlo-finite element method[J].Journal of Fuzhou University (Natural Science),2014,32(1):73- 77.
• [22] GRIFFITHS D V,GORDON A F.Probabilistic slope stability analysis by finite elements[J].Journal of Geotechnical and Geoenvironmental Engineering,2004,130(5):507- 518.
• [23] 郭林坪,杨爱武,闫澍旺,等.天津港地区土层剖面随机场特征参数的估计[J].工程地质学报,2016,24(1):130- 135.GUO Linping,YANG Aiwu,YAN Shuwang,et al.Estimation of random field characteristic parameters of soil layers at Tianjin port[J].Journal of Engineering Geology,2016,24(1):130- 135.
• [24] HICKS M A,SAMY K.Influence of heterogeneity on undrained clay slope stability[J].Quarterly Journal of Engineering Geology and Hydrogeology,2002,35:41- 49.
• [25] VANMARCHE E,SAUNDER H.Random fields:Analysis and synthesis[J].Journal of Vibration and Acoustics,Transactions of the ASME,1985,107(2):270- 271.
• [26] LI K S,Lumb P.Probabilistic design of slopes[J].Canadian Geotechnical Journal,1987,24(4):520- 535.
• [27] TAYLOR D W.Stability of Earth Slopes[J].Journal of the Boston Society of Civil Engineers,1937,23:215- 264.