Abstract In this paper, deterministic stability analyses for soil slopes reinforced with pile of different locations and lengths were conducted firstly to calculate the factor of safety through limit equilibrium method (LEM). Since the effect of inherent uncertainties as well as the spatial variability of soils cannot be reflected via the deterministic factor of safety, probabilistic stability analyses of slopes reinforced with pile in spatially constant soils and spatially variable soils were successively carried out, respectively. The failure probability was determined by random limit equilibrium method (RLEM) considering the influence of different pile locations, pile length and soil statistical parameters. The optimal locations along slope and length of pile were analyzed based on the reliability analyses results in spatially constant soils and spatially variable soils, which were inconsistent with the results via the traditional deterministic methods, with a lower probability of sliding failure. Finally, method was proposed to determine the minimum samples of simulation iterations for investigating the convergence of failure probability of soil slope reinforced with piles. The results revealed that the multiple potential sliding surfaces introduced by the installations of pile would result in the increased uncertainty of slope failures.

中文翻译：

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空间可变土中桩加固边坡的概率稳定性分析

摘要 本文首先对不同位置和长度的桩加固土边坡进行确定性稳定性分析，通过极限平衡法（LEM）计算安全系数。由于固有不确定性的影响以及土体的空间变异性不能通过安全确定性因素来反映，因此分别对空间恒定土和空间可变土中桩加固边坡进行了概率稳定性分析。考虑不同桩位、桩长和土壤统计参数的影响，采用随机极限平衡法（RLEM）确定破坏概率。基于空间恒定土和空间可变土的可靠性分析结果，分析了沿坡度和桩长的最佳位置，这与传统确定性方法的结果不一致，滑动破坏的概率较低。最后，提出了确定模拟迭代的最小样本的方法，以研究桩加固土边坡破坏概率的收敛性。结果表明，桩的安装引入的多个潜在滑动面会导致边坡破坏的不确定性增加。提出了确定模拟迭代的最小样本的方法，用于研究桩加固土坡破坏概率的收敛性。结果表明，桩的安装引入的多个潜在滑动面会导致边坡破坏的不确定性增加。提出了确定模拟迭代的最小样本的方法，用于研究桩加固土坡破坏概率的收敛性。结果表明，桩的安装引入的多个潜在滑动面会导致边坡破坏的不确定性增加。