摘要(Abstract)：
为了评估加固边坡的稳定程度并优化挡墙高度,提出通过改变夯填粗颗粒土内摩擦角的变异系数间接考虑施工质量不确定性的方法;采用Geo-Studio软件建立加固边坡模型,并应用Morgenstern-Price法计算边坡的安全系数,基于Win-Batch~(TM)语言实现蒙特卡罗抽样,计算不同变异系数时加固边坡的失效概率;结合光滑粒子流体动力学方法,研究挡墙高度对加固边坡失效概率的影响;将所提出的方法在哈佳铁路加固边坡中进行应用。结果表明:在施工中提高施工质量以减小夯填土的参数变异性可以有效降低加固边坡的失效概率;增加挡墙高度可以有效阻隔滑动土体滑落至铁路线,显著降低边坡失效概率;当变异系数为0.4并且未加高挡墙时,失效概率为27.2%;当挡墙高度增加1 m时,失效概率降为2.58%;在变异系数小于0.4的条件下,挡墙高度增加1 m时加固边坡失效概率的降低程度更明显。
关键词(KeyWords)： 边坡稳定性;可靠度分析;失效概率;挡墙高度;加固
基金项目(Foundation): 国家重大科研仪器研制项目(41627801);; 国家自然科学基金项目(51778313)
作者(Author): 王上上,陈富,翟明,刘旭,李亮,凌贤长
DOI: 10.13349/j.cnki.jdxbn.20210301.002
参考文献(References)：
[1] JAVANKHOSHDEL S,BATHURST R J.Deterministic and probabilistic failure analysis of simple geosynthetic reinforced soil slopes[J].Geosynthetics International,2017,24(1):14-29.
[2] LI L,WANG Y,CAO Z J,et al.Risk de-aggregation and system reliability analysis of slope stability using representative slip surfaces[J].Computers and Geotechnics,2013,53:95-105.
[3] LI L,WANG Y,CAO Z J,et al.Probabilistic slope stability analysis by risk aggregation[J].Engineering Geology,2014,176:57-65
[4] HALDER K,CHAKRABORTY D.Bearing capacity of strip footing placed on the reinforced soil slope[J].International Journal of Geomechanics,2018,18(11):06018025.
[5] SUNGKAR M,MUNIRWANSYAH M,MUNIRWAN R P,et al.Slope stability analysis using Bishop and Finite Element Methods[J].IOP Conference Series:Materials Science and Engineering,2020,933(1):012035.
[6] 刘锋涛，张绍发，戴北冰，等.边坡稳定分析刚体有限元上限法的锥规划模型[J].岩土力学，2019,40(10):4084-4091.
[7] LYAMIN A V,SLOAN S W.Upper bound limit analysis using linear finite elements and non-linear programming[J].International Journal for Numerical and Analytical Methods in Geomechanics,2002,26(2):181-216.
[8] 邓琴，郭明伟，李春光，等.基于边界元法的边坡矢量和稳定分析[J].岩土力学，2010,31(6):1971-1976.
[9] 孔不凡，阮怀宁，朱珍德，等.边坡稳定的离散元强度折减法分析[J].人民黄河，2013,35(4):120-123.
[10] ELRAMLY H,MORGENSTERN N R,CRUDEN D M.Probabilistic slope stability analysis for practice[J].Canadian Geotechnical Journal,2002,39(3):665-683.
[11] 李亮，褚雪松.考虑空间变异特性的土坡失稳模式比较分析[J].武汉大学学报(工学版),2016,49(5):690-695.
[12] 邹广电，魏汝龙.土坡稳定分析普遍极限平衡法数值解的理论及方法研究[J].岩石力学与工程学报，2006,25(2):363-370.
[13] DUNCAN J M.State of the art:limit equilibrium and finite-element analysis of slopes[J].Journal of Geotechnical Engineering,1996,122(7):577-596.
[14] BLATZ J A,BATHURST R J.Limit equilibrium analysis of large-scale reinforced and unreinforced embankments loaded by a strip footing[J].Canadian Geotechnical Journal,2003,40(6):1084-1092.
[15] LI L,CHU X S.Multiple response surfaces for slope reliability analysis[J].International Journal for Numerical and Analytical Methods in Geomechanics,2015,39(2):175-192.
[16] 胡长明，袁一力，梅源，等.基于二维随机场在圆弧曲线上局部平均化的边坡可靠度分析[J].岩石力学与工程学报，2020,39(2):251-261.
[17] LI L,CHU X S.Comparative study on response surfaces for reliability analysis of spatially variable soil slope[J].China Ocean Engineering,2015,29(1):81-90.
[18] DYSON A P,TOLOOIYAN A.Comparative approaches to probabilistic finite element methods for slope stability analysis[J].Simulation Modelling Practice and Theory,2020,100:102061.
[19] 王旭，刘东升，宋强辉，等.基于极限平衡法的边坡稳定性可靠度分析[J].地下空间与工程学报，2016,12(3):839-844.
[20] 陈昌富，朱剑锋，龚晓南.基于响应面法和Morgenstern-Price法土坡可靠度计算方法[J].工程力学，2008(10):166-172.
[21] OKA Y,WU T H.System reliability of slope stability[J].Journal of Geotechnical Engineering,ASCE,1990,116(8):1185-1189.
[22] CHOWDHURY R N,XU D W.Geotechnical system reliability of slopes[J].Reliability Engineering and System Safety,1995,47(3):141-151.
[23] LOW B K,ZHANG J,TANG W H.Efficient system reliability analysis illustrated for a retaining wall and a soil slope[J].Computers and Geotechnics,2011,38(2):196-204.
[24] 张嘎，张建民.基于瑞典条分法的应变软化边坡稳定性评价方法[J].岩土力学，2007(1):12-16.
[25] 朱大勇，邓建辉，台佳佳.简化Bishop法严格性的论证[J].岩石力学与工程学报，2007(3):455-458.
[26] 李亮，褚雪松，袁长丰.快速蒙特卡罗法及其在土坡可靠度分析中的应用[J].煤炭学报，2013,38(9):1576-1582.
