格构锚杆支护下的黄土高边坡稳定性可靠度及敏感性分析  

Stability Reliability and Sensitivity Analysis of Loess High Slope Supported By Lattice Anchor

作　　者：王江荣[1] 刘硕 蒲晓妮[1] 赵睿[1] WANG Jiang-rong;LIU Shuo;PU Xiao-ni;ZHAO Rui(College of Information Processing and Control Engineering,Lanzhou Petrochemical polytechnic,Lanzhou 730060,China)

机构地区：[1]兰州石化职业技术学院信息处理与控制工程学院,甘肃兰州730060

出　　处：《数学的实践与认识》2020年第22期186-194,共9页Mathematics in Practice and Theory

基　　金：兰州市科学技术局计划项目(兰财建发[2019]62号);兰州市西固区科学技术局计划项目(西科发[2017]29号)。

摘　　要：为全面、客观地评价兰州南绕城高速公路黄土路堑高边坡的稳定性,将土体参数视为随机变量,采用蒙特卡洛(Monte Carlo)随机抽样法和极限平衡法,按不同置信度区间计算边坡稳定性系数的平均值、可靠度指标、失效概率.结果表明,无支护结构的路堑高边坡在天然工况和暴雨工况下分别处于较稳定和不稳定状态,而加格构锚杆支护后的路堑边坡处于稳定状态,达到了一级工程安全标准.另外,研究表明边坡的稳定性系数对土体的内摩擦角φ最敏感,其次是黏聚力c,而对重度γ不敏感,且稳定性系数与c和φ均呈强正相关,而与γ呈弱负相关.In order to comprehensively and objectively evaluate the safety and stability of the loess cutting high slope of Lanzhou South Ring Expressway,the soil parameters are regarded as random variables,and Monte Carlo random sampling method and limit equilibrium method are adopted.The average value of slope safety factor,reliability index and failure probability are calculated according to different confidence intervals.The results show that the high cutting slope without support structure is stable and unstable under natural condition and rainstorm condition respectively,while the cutting slope supported by lattice bolt is in stable state,reaching the first level engineering safety standard.In addition,the study shows that the safety factor of the slope is the most sensitive to the internal friction angle φof the soil,followed by the cohesionc,but not sensitive to the gravityγ;the safety factor has a strong positive correlation with candφ,but a weak negative correlation withγ.

关 键 词：路堑高边坡 极限平衡法 蒙特卡洛(Monte Carlo)随机抽样法 可靠度 失稳概率 

分 类 号：U416.14[交通运输工程—道路与铁道工程]