第39参第3期 2017年6月
土水建筑与环境工程
Journal of Civil,Architectural &. Environmental Engineering
doi:10.11835/j.issn. 1674-4764. 2017.03. 017
基于随机场的岩石边坡三维稳定性分析
牛炜，周小平，钱七虎
（重庆大学土木工程学院，重庆400015）
Vol. 39 No. 3 Jun. 2017
摘要：基于随机场理论，考感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。
关键词：岩石边坡；稳定系数；失效概率；随机场
中图分类号：TU475
文献标志码：A
文章编号：1674-4764(2017)03-0129-09
Three-dimensionalstabilityassessment ofrockslopesbasedonrandomfields
NiuYiwei,ZhouXiaoping,QianQihu
(School of Civil Engineering- Chongqing University, Chongqing, 400015)
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 Keywords:rock slopes; factor of safety: probability of failure; random fields
边坡失稳已与地震、火山爆发并列成为世界三大地质灾害（或地质灾害源))。当边坡岩体内发育有层间软弱夹层或较大的断层、节理和裂隙时，则容
收稿日期：2016-12-02
易发生滑动破坏。在边坡稳定性分析过程中，需要考虑岩土工程是土木工程中最受不确定性主导的分支学科，因为它通常与高度变化的天然材料密切相
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)
作者简介：牛赖炜（1992-），男，主要从事着体力学研究，（E-mail)caunywcau.edu.cn。
周小平（通信作者），男，教授，博士生导师，（E-mail)xiao_ping_zhou@126.com。
Received:2016-12-02
Foundation item: National Program on Key Basic Research Project (973 Program) (NO. 2014CB046903) ; Natural Science
Foundation Project of CQ CSTC (No. cstc2013kjreljrccj0001, cstc2015jcyjys30001)
Author brief: Niu Yiwei (1992- ), main research interest: mechanical properties of rock mass, (E-mail) caunyw@ cau.
edu.cn.
Zhou Xiaoping ( corresponding author), professor, doctoral supervisor, (E-mail) xiao ping_ zhou @ 126.com
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