A simulating method of the potential sliding surface of slope
LI Ning1,2,GUO Shuangfeng1,YAO Xianchun1
(1. Institute of Geotechnical Engineering,Xi'an University of Technology,Xi'an,Shaanxi 710048,China;2. College of Civil Engineering,Lanzhou Jiaotong University,Lanzhou,Gansu 730070,China)
Abstract:Both the determination and simulation of the sliding surface of slopes are the key problems in the stability analysis and design of slopes. The determination of the sliding surface is affected by many factors. The sliding surface of the heterogeneous rock slope needs to be investigated by the combination of geological and theoretical methods. At present,the commonly used simulation models of the sliding surface are the non-slip surface model,the thin layer solid element model and the interface element model. It was found out that the sliding mechanism for the instability processes of a landslide could not be simulated by the non-slip surface method. In the method of thin-layer solid element,the continuous deformation of rock mass elements is used to simulate the discontinuous deformation of structure surface. As to the joint element of Goodman,it is difficult to obtain the normal stiffness Kn and the tangential stiffness Ks,and the element embedding and overlapping are produced in the finite element analysis. Nevertheless,in the Katona internal interface element or the friction-contacting interface element,the strength parameters of joints or faults can be directly adopted without the need to determine the Kn,Ks parameters. Further more,the state of sliding,opening and closing of the contact surfaces can be well simulated with the friction-contacting interface element. The element type proposed was applied to a typical engineering case in order to verify the effectiveness of the method. The friction-contacting interface element was demonstrated to be reasonable by comparing with the results from field measurements.
[1] 陈祖煜. 土质边坡稳定分析——原理•方法•程序[M]. 北京:中国水利水电出版社,2003:87–119.(CHEN Zuyu. Soil slope stability analysis-theory methods and programs[M]. Beijing:China Water Power Press,2003:87–119.(in Chinese))
[2] 尤明庆. 均质土坡的圆弧滑动分析[J]. 岩土力学,2008,29(8):2 025–2 032.(YOU Mingqing. Analysis of homogeneous soil slope slipping in circular arc[J]. Rock and Soil Mechanics,2008,29(8):2 025–2 032.(in Chinese))
[3] 莫海鸿,唐超宏,刘少跃. 应用模式搜索法寻找最危险滑动圆弧[J].岩土工程学报,1999,21(6):696–699.(MO Haihong,TANG Chaohong,LIU Shaoyue. Determination of the most dangerous slip surface with pattern search method[J]. Chinese Journal of Geotechnical Engineering,1999,21(6):696–699.(in Chinese))
[4] 冯紫良,冯时恩. 确定岩土边坡潜在破裂面的组合优化法[J]. 同济大学学报,2004,32(5):561–564.(FENG Ziliang,FENG Shien. Locating slip surface in slope analysis by combinatorial optimization[J]. Journal of Tongji University,2004,32(5):561–564.(in Chinese))
[5] 张天宝. 四边形块元法和沉坑土坝的稳定分析——兼论复合土坡的最危险滑弧位置[J]. 水利学报,1981,12(6):19–29.(ZHANG Tianbao. The method of quadrilateral element and the stability analysis of the Chenkang earth dam—Also a discussion on the location of the most critical slip circle in a composite slop[J]. Journal of Hydraulic Engineering,1981,12(6):19–29.(in Chinese))
[6] CHEN Z,SHAO C. Evaluation of minimum factor of safety in slope stability analysis[J]. Canadian Geotechnical Journal,1988,25(4):735–748.
[7] CELESTINO T B,DUNCAN J M. Simplified search for noncircular slip surface[C]// Proceedings of the 10th International Conference on Soil Mechanics and Foundation Engineering. Stockholm:[s.n.],1981:391–394.
[8] 赵洪波. 边坡非圆弧潜在滑动面全局优化的新方法[J]. 岩土工程学报,2006,25(增2):3 725–3 729.(ZHAO Hongbo. A new global optimization method of non-circular slip surface for slope stability analysis[J]. Chinese Journal of Geotechnical Engineering,2006,25(Supp.2):3 725–3 729.(in Chinese))
[9] 李 宁,张 鹏. 岩质边坡稳定分析与设计中的几个基本问题[C]// 中国岩石力学与工程学会第七次学术大会. 北京:[s.n.],2002:395–398.(LI Ning,ZHANG Peng. Discusses on the fundamental problems in rock slope engineering[C]// Proceeding of the 7th Academic Conference of Chinese Society for Rock Mechanics and Engineering. Beijing:[s.n.],2002:395–398.(in Chinese))
[10] SHARMA K G,DESAI C S. Analysis and implementation of thin-layer element for interfaces and joints[J]. Journal of Engineering Mechanics,1992,118(12):2 442–2 462.
[11] 张俊儒. 隧道单层衬砌作用机理及设计方法研究[博士学位论文][D]. 成都:西南交通大学,2007.(ZHANG Junru. Study on action mechanism and design methodology of tunnel single shell lining[Ph. D. Thesis][D]. Chengdu:Southwest Jiaotong University,2007.(in Chinese))
[12] GOODMAN R E,TAYLOR R E,BREKKE T. A model for the mechanics of jointed rock[J]. ASCE Journal of the Soil Mechanics and Foundations Division,1968,94(3):637–659.
[13] 李守德,俞洪良. Goodman接触面单元的修正与探讨[J]. 岩石力学与工程学报,2004,23(15):2 628–2 631.(LI Shoude,YU Hongliang. Modification of Goodman interface element[J]. Chinese Journal of Geotechnical Engineering,2004,23(15):2 628–2 631.(in Chinese))
[14] KATONA M G. A simple contact-friction interface element with applications to buried culvert[J]. International Journal for Numerical and Analitical Method in Geomechanics,1983,6(7):371–384.
[15] 李 宁,朱才辉,姚显春,等. 一种浅埋松散围岩稳定性离散化有限元分析方法探讨[J]. 岩石力学与工程学报,2009,28(增2):3 533–3 542.(LI Ning,ZHU Caihui,YAO Xianchun,et al. Stability analysis of loose surrounding rock with shallow overburden by a discretization finite element[J]. Chinese Journal of Geotechnical Engineering,2009,28(Supp.2):3 533–3 542.(in Chinese))
[16] 李 宁,顾强康,朱才辉,等. 西安地铁二号线下穿古城墙段地表沉降控制标准研究[J]. 岩石力学与工程学报,2009,28(增2):3 753–3 761.(LI Ning,GU Qiangkang,ZHU Caihui,et al. Research on ground sedimentation criterion of Xi?an line-2 subway under circumvallation[J]. Chinese Journal of Geotechnical Engineering,2009,28(Supp.2):3 753–3 761.(in Chinese))
[17] 李 宁,张 鹏,曲 星. 岩质边坡稳定性分析中的几个关键问题[C]// 西部矿山建设工程理论与实践会议. 徐州:中国矿业大学出版社,2009:51–60.(LI Ning,ZHANG Peng,QU Xing. Several key problems of analysis on rock slope stability[C]// Proceedings of Theory and Application in Western Mine Construction. Xuzhou:China University of Mining and Technology Press,2009:5l–60.(in Chinese))
[18] 张 鹏. 岩土边坡刚体极限平衡法的误差根源与范围研究[硕士学位论文][D]. 西安:西安理工大学,2003.(ZHANG Peng. Research on the error-mechanism and error-range of the rigid limited equilibrium method in the stability of rocks & soil slope[M. S. Thesis][D]. Xi?an:Xi?an University of Technology,2003.(in Chinese))
[19] 李 骞,李 宁. 基于参数敏感性反演分析的岩质高边坡稳定性研究[J]. 西安理工大学学报,2012,28(2):132–137.(LI Qian,LI Ning. Stability research on the high rock slope based on the back analysis of parameter accuracy[J]. Journal of Xi?an University of Technology,2012,28(2):132–137.(in Chinese))