基于滑移线场理论的概率边坡设计  

Probabilistic Design of Slopes Based on Slip Line Field Theory

作　　者：韩非[1] 胡超 HAN Fei;HU Chao(AVIC Institute of Geotechnical Engineering Co.,Ltd.,Beijing 100098,China;School of Civil Engineering,Sichuan University of Science and Engineering,Zigong 643000,China)

机构地区：[1]中航勘察设计研究院有限公司,北京100098 [2]四川轻化工大学土木工程学院,自贡643000

出　　处：《科学技术与工程》2023年第20期8771-8779,共9页Science Technology and Engineering

基　　金：四川省自然科学基金(2022NSFSC1033);桥梁无损检测与工程计算四川省高校重点实验室开放基金(2022QYJ03)。

摘　　要：基于可靠度的最优化设计能有效地处理岩土工程中存在的不确定性,在工程界和学界日益得到重视。然而,传统的基于可靠度的分析方法需要进行多次计算并不断重构计算模型,计算量巨大且难以实施。鉴于此,提出一个基于滑移线场理论的概率边坡优化设计方法。该方法采用更加高效的拟蒙特卡罗模拟(quasi-Monte Carlo simulation,QMCS)来确定边坡的失效概率,在每次模拟过程中采用滑移线场理论来分析边坡的稳定性。为了更加高效的确定满足目标失效概率的设计坡角,提出一个简单而有效地二分搜索方法。以一个边坡为例设计了不同目标失效概率的坡角,并验证所提方法的有效性。结果表明:所提方法最多只需36.29 min就能得到满足目标失效概率的坡角。所提出的边坡概率优化设计方法避免了计算模型的反复重构,计算效率较好,可为基于可靠度边坡设计提供新的可选手段。Reliability-based optimum design can effectively deal with the uncertainty existing in geotechnical engineering,which gains increased attention in the engineering and academic communities.However,the traditional reliability-based analysis method necessitates a large number of computations and requires continuous reconstruction of the calculation model,making it challenging to execute.In view of this,a slip-line theory-based probabilistic method was developed for slope design.In order to quickly and accurately identify the slope angle of the design under the condition of satisfying the objective failure probability,a binary search method was proposed to determine the slope angle of the design.In each search,the slip-line theory was applied to assess the stability of slopes,and the efficient quasi-Monte Carlo simulation(QMCS)was employed to estimate the failure probability of slopes.The effectiveness of the proposed method was verified using a real engineering slope with thickly layered soil.The results show that the proposed method can obtain the design slope angle satisfying the objective failure probability in only 36.29 min,demonstrating the efficiency of the proposed method.The proposed method for slope design reduces the need for repetitive reconstruction of the calculation model and improves the calculation efficiency of design work.It has the potential to provide a new approach to slope design based on reliability.

关 键 词：边坡设计 失效概率 滑移线理论 拟蒙特卡罗模拟(QMCS) 

分 类 号：TU457[建筑科学—岩土工程]