| 基于随机场的岩石边坡三维稳定性分析 |
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| 引用本文： | 牛燚炜,周小平,钱七虎.基于随机场的岩石边坡三维稳定性分析[J].重庆建筑大学学报,2017,39(3):129-137. |
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| 作者姓名： | 牛燚炜 周小平 钱七虎 |
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| 作者单位： | 重庆大学 土木工程学院, 重庆 400015,重庆大学 土木工程学院, 重庆 400015,重庆大学 土木工程学院, 重庆 400015 |
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| 基金项目： | 国家重点基础研究发展计划（973）（2014CB046903）；重庆市科学自然基金（cstc2013kjrc-ljrccj0001、cstc2015jcyjys30001） |
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| 摘 要： | 基于随机场理论，考虑了岩石材料属性的空间变异性对岩石边坡稳定性的影响，将边坡主滑面上的摩擦系数和粘聚力视为高斯随机变量，确定了主滑面上的摩擦系数和粘聚力的均值、方差和协方差，获得了两个随机量之间的相关系数和互相关长度。在此基础上，对岩石边坡进行了三维稳定性分析，确定了岩石边坡的稳定系数和失效概率。数值计算结果表明，摩擦系数和粘聚力的空间变异性对边坡稳定性有重要影响。
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| 关 键 词： | 岩石边坡 稳定系数 失效概率 随机场 |
| 收稿时间： | 2016/12/2 0:00:00 |
Three-dimensional stability assessment of rock slopes based on random fields |
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| Niu Yiwei,Zhou Xiaoping and Qian Qihu.Three-dimensional stability assessment of rock slopes based on random fields[J].Journal of Chongqing Jianzhu University,2017,39(3):129-137. |
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| Authors: | Niu Yiwei Zhou Xiaoping and Qian Qihu |
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| Affiliation: | School of Civil Engineering, Chongqing University, Chongqing, 400015,School of Civil Engineering, Chongqing University, Chongqing, 400015 and School of Civil Engineering, Chongqing University, Chongqing, 400015 |
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| Abstract: | The stability of rock slopes is analyzed by considering the spatial variability of the rock materials based on theory of random fields. Both the cohesion and frictional coef cient along the main sliding surface are treated as Gaussian random elds, and the mean value, variance, covariance of the cohesion and frictional coef cient are determined. Spatial correlation lengths and the cross-correlation between cohesion and coef cient are obtained. Three-dimensional stability assessment of rock slopes is analyzed to obtain the factor of safety and probability of failure of rock slope. The numerical results show that the spatial variability of cohesion and coef cient of friction significantly affect the safety of rock slopes. |
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| Keywords: | rock slopes factor of safety probability of failure random fields |
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