Deterministic single factor of safety method cannot explicitly account for the influences of various sources of uncertainties (e.g., spatial variability of geomaterials, measurement and transformation uncertainties) in stability design of slopes. Many probabilistic methods have been applied to the reliability-based design (RBD) of slopes, but they typically require performing numerous deterministic slope stability analyses. In this paper, an efficient reliability-based design method for spatially varying slopes based on field data is proposed. Here, the RBD of a slope angle is concerned. Reliability-based design is implemented using an inverse First Order Reliability Method (inverse FORM - IFORM). A sandy slope and a cohesive slope are investigated as examples, respectively, to illustrate the proposed method. The results indicate that the proposed method can quickly obtain rational design schemes of slope angles accounting for the spatial variability of soil properties, measurement and transformation uncertainties based on the field data. It can act as a practical and effective tool for the RBD of slopes in two-dimensional spatially variable soils. Additionally, it is found that the random field mesh size affects the RBD results significantly, while the probability distribution and horizontal autocorrelation of soil parameters have slight influences on the RBD results.

中文翻译：

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基于现场数据的空间可变土壤坡角的有效可靠性设计

确定性单因素安全方法无法明确考虑各种不确定性来源（例如，地质材料的空间变异性、测量和转换不确定性）对边坡稳定性设计的影响。许多概率方法已应用于边坡的基于可靠性的设计 (RBD)，但它们通常需要执行大量确定性边坡稳定性分析。在本文中，提出了一种基于现场数据的空间变化边坡的有效的基于可靠性的设计方法。这里，涉及倾斜角的RBD。基于可靠性的设计是使用逆一阶可靠性方法（逆 FORM - IFORM）实现的。分别以砂质边坡和粘性边坡为例来说明所提出的方法。结果表明，该方法可以根据现场数据快速获得考虑到土壤性质空间变异性、测量和转换不确定性的合理坡角设计方案。它可以作为二维空间可变土壤中边坡RBD的实用有效工具。此外，发现随机场网格大小对RBD结果影响显着，而土壤参数的概率分布和水平自相关对RBD结果影响较小。它可以作为二维空间可变土壤中边坡RBD的实用有效工具。此外，发现随机场网格大小对RBD结果影响显着，而土壤参数的概率分布和水平自相关对RBD结果影响较小。它可以作为二维空间可变土壤中边坡RBD的实用有效工具。此外，发现随机场网格大小对RBD结果影响显着，而土壤参数的概率分布和水平自相关对RBD结果影响较小。