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锚杆不确定性对加固边坡失稳概率的影响
引用本文:王上上,陈富,李东贤,林后来,刘志良,李亮.锚杆不确定性对加固边坡失稳概率的影响[J].地质科技通报,2022,41(2):282-289.
作者姓名:王上上  陈富  李东贤  林后来  刘志良  李亮
基金项目:国家自然科学基金项目51778313
摘    要:为了探究锚杆不确定性对加固边坡失稳概率的影响, 建立了施加锚杆后的边坡模型, 通过以下两种途径来考虑锚杆的不确定性: 其一是假定锚杆与锚固体之间接触面上的单位表面摩擦力为对数正态分布变量, 其二是引入锚杆与锚固体之间接触面上的单位表面摩擦力衰减系数来考虑运营过程中锚杆的不确定性。采用极限平衡分析法并结合蒙特卡罗抽样法, 计算并对比分析了两种途径下锚固边坡失稳概率变化曲线, 最后以深圳假日酒店基坑边坡支护工程为例, 证明所提方法的有效性。结果表明: 对于途径一, 在相同土体统计参数下, 随着锚杆与锚固体之间接触面上单位表面摩擦力变异系数的增加, 加固边坡的失稳概率缓慢增加, 增幅介于18.03%~41.90%之间。对于途径二, 随着锚杆衰减系数自1.0逐步减小至0, 加固边坡失稳概率迅速增加, 增幅介于55.64%~124.90%之间; 在同一衰减系数下, 加固边坡失稳概率随着锚杆衰减根数的增加而增大。研究结果可以为锚杆施工与运营期间的管理提供决策支持。 

关 键 词:锚杆不确定性    加固边坡    蒙特卡罗    极限平衡方法    衰减系数    失稳概率
收稿时间:2021-04-19

Influence of anchor uncertainty on the failure probability of reinforced slope
Abstract:To explore the influence of anchor uncertainty on the failure probability of reinforced slopes, the uncertainty of anchors is considered through the following two approaches: one assumes that the friction force on the unit surface of the contact surface between the anchor and the anchor solid is a log-normal distribution variable, and the other introduces the attenuation coefficient of the friction force on the unit surfaceof the contact surface between the anchor and the anchor solid to consider the uncertainty of the anchor during construction and maintenance. The limit equilibrium method and Monte Carlo sampling method are used to calculate and compare the variation curve of the failure probability of the reinforced slope through two approaches.Finally, the effectiveness of the proposed method is validated against an example of the slope retaining project of the Shenzhen Holiday Inn foundation pit.The results show that the failure probability of the reinforced slope increases gradually with the increase range in the coefficient of variation of unit surface friction on the contact surface between the anchor and the anchor solid under the same soil statistical parameters, and the increase range is between 18.03% and 41.90% for the first approach. For the second approach, the failure probability of the reinforced slope increases rapidly with the decrease in the attenuation coefficient of the anchor ranging from 1.0 to 0.0, and the increase range is between 55.64% and 124.90%. Under the same attenuation coefficient, the failure probability of the reinforced slope increases with the increase in the number of attenuation anchors. The research results provide decision support for the management of anchors during construction and operation. 
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