基于蒙特卡洛法的土石坝坝坡稳定分析研究Monte Carlo method-based study on slope stability analysis of earth-rockfill dam
赵生华,李红军
摘要(Abstract)：
土石坝坝坡稳定分析中通常采用的单一安全系数方法忽略了实际工程材料的变异性和不确定性,从而导致土石坝工程坝坡的安全水平不清楚,无法提供工程安全度的合理的评价指标。为此,需将可靠度分析引入土石坝坝坡稳定性安全评价体系。通过一个均质坝坡算例和工程实例的应用,利用蒙特卡洛法研究了影响坝坡稳定性可靠度指标的主要因素,包括随机变量的概率分布和相关性、土体参数的均值和变异性,进而将确定性方法得到的单一安全系数与基于可靠度分析方法得到的坝坡稳定分析评价结果进行比较。分析结果表明:当求解安全系数中包含较大的不确定性时,确定性方法往往无法正确反映边坡的实际安全状况,而可靠性分析可估计不确定性因素的总体影响,区分随机变量的不确定性量级,有利于设计人员更准确地评估土石坝边坡的安全等级,为坝坡设计和加固措施的制定提供科学依据。
关键词(KeyWords)： 可靠性分析;土石坝;随机变量;安全系数
基金项目(Foundation): 国家自然科学基金项目(51979292)
作者(Author): 赵生华,李红军
DOI: 10.13928/j.cnki.wrahe.2021.07.017
参考文献(References)：
- [1] WU T H,KRAFT L M.Safety analysis of slope[J].Journal of Soil Mechanics and Foundation Engineering,ASCE,1970,96(5):609630.
- [2] CATALAN,Cornell.Earth slope reliability by a level crossing method[J].Journal of the Geotechnical Engineering Division,1976,591-604.
- [3] YUCEMEN M S,AI-HOMOUDAA.Probabilistic three-dimensional stability analysis of slopes[J].Structural Safety,1990,9(1):20.
- [4] CHRISTIAN J T,LADD C C,BAECHER G H.Reliability applied to slope stability analysis [J].Journal of Geotechnical Engineering,ASCE,1994,120(12):2180-2207.
- [5] LOW B K,TANG W H.Reliability analysis of reinforced embankments on soft ground[J].Canadian Geotechnical Journal,1997,(34):672-685.
- [6] 包承刚，于丽.土坡在非常条件下稳定分析的概率方法[J].岩土工程学报，1987,9(3):1629.BAO Chenggang,YU Li.The probability method of stability analysis for soil slope under unusual condition[J].Chinese Journal of Geotechnical Engineering,1987,9(3):1629.
- [7] 祝玉学.土坡在非常条件下稳定分析的概率[J].岩土工程学报，1989,11(3):11 -21.ZHU Yuxve.Probability of stability analysis of soil slope under unusual conditions[J].Chinese Journal of Geotechnical Engineering,1989,11(3):11-21.
- [8] 谢玉洁.基于蒙特卡罗法的乌江特大桥边坡稳定性可靠度分析[J].资源环境与工程，2021,35(2):228-231.XIE Yujie.Reliability Analysis of Slope Stability Based on Monte Carlo Method[J].Resources Environment Engineering,2021,35(2):228-231.
- [9] 姚耀武，申超.非线性随机有限元法及其在可靠度分析中的应用[J].岩土工程学报，1996,16(2):37-46.YAO Yaowu,SHEN Chao.Nonlinear stochastic FEM and its application to reliability analysis[J].Chinese Journal of Geotechnical Engineering,1996,18(2):37–46.
- [10] 毕仲辉，翟亚飞，唐彧杰，等.基于有限元强度折减法的降雨入渗基岩型边坡可靠度分析[J].水利水电技术，2020,51(9):187-192.BI Zhonghui,ZHAI Yafei,TANG Yujie,et al.Finite element strength reduction method-based reliability analysis on rainfall-infiltrated bedrock-typed slope[J].Water Resources and Hydropower Engineering,2020,51( 9) :187-192.
- [11] LI Dianqing,ZHENG Dong,CAO Zijun,et al.Response surface methods for slope reliability analysis:review and comparison[J].Engineering Geology,2016,203( 25):3-14.
- [12] 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.CHEN Zuyu.Earth slope stability analyses—Theory,method and programs[M].Beijing:China Water Power Press,2003.