Abstract In this study, by coupling the conditional and unconditional random field with finite element methods, the stability of a real slope is investigated. In the first method, which is used for the case of an Unconditional Random Field (URF), the analysis is carried out similar to the approach of the Random Finite Element Method (RFEM) using the mean and standard deviation (std.) of soil parameters derived from all boreholes. In the second, which is a Conditional Random Field (CRF), the soil parameters are mapped onto the selected analysis section and are then predicted on the section mesh elements based on geostatistical estimations. As outputs of the stochastic analysis, the probability density functions of safety factor and maximum lateral displacement of the slope from the two methods are compared with each other. The results of this case study indicate that the use of the CRF affects not only the std. of the safety factor and maximum lateral displacement distribution but can also cause variations in the mean value. Furthermore, the system reliability index of the slope stability decreases when the analysis is done based on the URF.

中文翻译：

---

基于条件和无条件随机场的随机边坡稳定性分析比较研究

摘要 本研究通过将条件和非条件随机场与有限元方法耦合，研究了实际边坡的稳定性。第一种方法用于无条件随机场 (URF) 的情况，其分析类似于随机有限元方法 (RFEM) 的方法，使用土壤的平均值和标准偏差 (std.)从所有钻孔导出的参数。在第二种情况下，即条件随机场 (CRF)，土壤参数被映射到选定的分析截面上，然后根据地质统计估计在截面网格元素上进行预测。作为随机分析的输出，将两种方法的安全系数和边坡最大横向位移的概率密度函数相互比较。本案例研究的结果表明，CRF 的使用不仅影响标准差。安全系数和最大横向位移分布，但也会导致平均值的变化。此外，当基于URF进行分析时，边坡稳定性的系统可靠性指标降低。