基于最短路理论高陡岩质边坡稳定性分析
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摘要
依据图论中寻求最短路问题理论,并将有限元法、极限平衡法与动态规划法相结合,推导出边坡安全系数计算公式;通过编程,自动搜索边坡最危险滑动面。通过数值模拟分析某金矿高陡岩质边坡应力场与水平位移场,同时与现场监测数据进行对比,证明数值模拟分析的可靠性。应用改进的方法搜索边坡最危险滑动面,计算边坡安全系数,计算结果与数值模拟的几个结果基本一致,证明改进方法的正确性,对同类高陡岩质边坡稳定性分析具有指导意义。
According to the shortest path theory obtained from the graph theory,the calculation formula of slope safety factor is deduced by combining the finite element method,the limit equilibrium method and the dynamic programming method. Through programming,the most dangerous sliding surface of slope can be automatically searched. The stress field and horizontal displacement field of a high steep rock slope in a gold mine are analyzed by numerical simulation,and the numerical simulation analysis is proved be reliable by comparing with field monitoring data. The most dangerous sliding surface of the slope is searched by the improved method,and the safety factor of the slope is calculated. The calculated results are basically in agreement with the numerical simulation results,which proves that the improved method is correct. It has guiding significance for stability analysis of similar high steep rock slopes.
According to the shortest path theory obtained from the graph theory,the calculation formula of slope safety factor is deduced by combining the finite element method,the limit equilibrium method and the dynamic programming method. Through programming,the most dangerous sliding surface of slope can be automatically searched. The stress field and horizontal displacement field of a high steep rock slope in a gold mine are analyzed by numerical simulation,and the numerical simulation analysis is proved be reliable by comparing with field monitoring data. The most dangerous sliding surface of the slope is searched by the improved method,and the safety factor of the slope is calculated. The calculated results are basically in agreement with the numerical simulation results,which proves that the improved method is correct. It has guiding significance for stability analysis of similar high steep rock slopes.
引文
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[2]张金龙,徐卫亚,金海元.大型复杂岩质高边坡安全监测与分析[J].岩石力学与工程学报,2009,28(9):1819-1827.Zhang Jinlong,Xu Weiya,Jin Haiyuan.Safety monitoring and stability analysis of large-scale and complicated high rock slope[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(9):1819-1827.
[3]巨能攀,赵建军,邓辉,等.公路高边坡稳定性评价及支护优化设计[J].岩石力学与工程学报,2009,28(6):1152-1161.Ju Nengpan,Zhao Jianjun,Deng Hui,et al.Stability evaluation of high slope for highways and optimized support design[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(6):1152-1161.
[4]连继峰,罗强,蒋良潍,等.顺坡渗流条件下土质边坡浅层稳定分析[J].岩土工程学报,2015(8):1440-1448.Lian Jifeng,Luo Qiang,Jiang Liangwei,et al.Shallow stability analysis of soil slopes under seepage parallel to slope surface[J].Chinese Journal of Geotechnical Engineering,2015(8):1440-1448.
[5]徐黎明,赵晓萌.地震及降雨渗流条件下铁路生态边坡客土稳定性分析[J].铁道标准设计,2014(S1):102-104.Xu Liming,Zhao Xiaomeng.Stability analysis of ecological slope of railway under earthquake and rainfall seepage[J].Railway Standard Design,2014(S1):102-104.
[6]吴浩.近坝库岸边坡安全性评价研究[D].北京:中国水利水电科学研究院,2015.Wu Hao.Study on Slope Safety Evaluation of Near-dam Reservoir[D].Beijing:China Institute of Water Resources and Hydropower Research,2015.
[7]Zou J Z,Williams D J,Xiong W L.Search for critical clip surfaces based on finite element method[J].Canadian Geotechnical Journal,1995,32:233-246
[8]严驰,孙训海,冯艺.动态规划法在搜索加筋土坡最危险滑动面的应用[J].水利学报,2005,36(1):77-82.Yan Chi,Sun Xunhai,Feng Yi.Application of dynamic programming in searching most dangerous slip surface of reinforced slopes[J].Journal of Hydraulic Engineering,2005,36(1):77-82.
[9]黄玮,徐卫亚,陈鸿杰,等.基于改进动态规划算法的堆积体边坡稳定性分析[J].地下空间与工程学报,2014,10(3):727-732.Huang Wei,Xu Weiya,Chen Hongjie,et al.Analysis on accumulation slope stability using improved dynamic programming algorithm[J].Chinese Journal of Underground Space and Engineering,2014,10(3):727-732.
[10]周家文,徐卫亚,邓俊晔,等.降雨入渗条件下边坡的稳定性分析[J].水利学报,2008,39(9):1066-1073.Zhou Jiawen,Xu Weiya,Deng Junye,et al.Stability analysis of slope under rainfall infiltration[J].Journal of Hydraulic Engineering,2008,39(9):1066-1073.
[11]叶海林,顾宏伟,刘东升.基于动态规划和随机有限元的边坡可靠性分析[J].地下空间与工程学报,2007(3):564-567.Ye Hailin,Gu Hongwei,Liu Dongsheng.Slope reliability analysis using stochastic Fem with dynamic programming method[J].Chinese Journal of Underground Space and Engineering,2007(3):564-567.
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