In this study, a reliability-based analysis of slope stability in a landfill considering the spatial variability of shear strength (c and φ) and unit weight (γ) of municipal solid waste was performed using the random finite difference method. The effect of the anisotropic correlation (AC) structure of random variables including c, φ, and γ on mean and coefficient of variation (CoV) of safety factor values was investigated using Monte Carlo simulation. Also, probability of failure was determined through probability distribution fitting to a series of safety factor data. The results showed that the AC of the random variables has a significant effect on the stochastic safety factor of landfill slope. In general, the mean of the stochastic safety factor decreases with increasing horizontal and vertical correlation lengths (CLs). Also, the CoV of the safety factor increased with increase in horizontal or vertical CLs or both. Moreover, it was found that failure probability increases with an increase in the horizontal and vertical CLs and assuming isotropic structure for the correlation of random variables leads to the underestimation of failure probability. Overall, the results indicate that assuming an AC structure results in different failure mechanisms in the landfill slope, which are different from the deterministic cases.

中文翻译：

---

相关结构各向异性对垃圾填埋场边坡稳定性可靠性分析的影响

在这项研究中，使用随机有限差分方法对垃圾填埋场边坡稳定性进行了基于可靠性的分析，该分析考虑了城市固体废物的剪切强度（c 和 φ）和单位重量（γ）的空间变异性。使用蒙特卡罗模拟研究了包括 c、φ 和 γ 在内的随机变量的各向异性相关 (AC) 结构对安全系数值的平均值和变异系数 (CoV) 的影响。此外，故障概率是通过概率分布拟合一系列安全系数数据来确定的。结果表明，随机变量的AC对垃圾填埋场边坡的随机安全系数有显着影响。通常，随机安全系数的平均值随着水平和垂直相关长度 (CL) 的增加而降低。还，安全系数的 CoV 随水平或垂直 CL 或两者的增加而增加。此外，发现失效概率随着水平和垂直 CL 的增加而增加，并且假设随机变量相关性的各向同性结构会导致失效概率的低估。总体而言，结果表明假设 AC 结构会导致垃圾填埋场边坡的不同破坏机制，这与确定性情况不同。