This study proposes a cross-correlation map-based borehole deployment approach for two-dimensional probabilistic slope stability analysis. This approach designs the layout of the proper number of boreholes based on the cross-correlation between the factor of safety and spatially variable soil strength every part of a slope. Numerically synthesized, undrained slopes are investigated as examples to illustrate the effectiveness of the proposed approach. Results demonstrate that the proposed approach is viable, and the cross-correlation maps are the appropriate metric for design slope borehole deployment. Using the cross-correlation maps, a small number of boreholes can sufficiently capture the large-scale heterogeneities that are critical to the slope stability. This information can help to identify the slip surface and improve the slope stability analysis. The small-scale heterogeneity, due to its short correlation structure or the residual covariance of the soil property field after conditioning using the borehole data, leads to a small amount of uncertainty in slope stability analysis. This small uncertainty could be vital to the slope stability analysis when the slope stability is close to the limit equilibrium state.

这项研究提出了一种基于互相关图的井眼部署方法，用于二维概率边坡稳定性分析。该方法基于安全系数与斜坡每个部分的空间可变土壤强度之间的互相关性，设计适当数量的井眼布局。以数值合成的不排水边坡为例进行了研究，以说明所提方法的有效性。结果表明，该方法是可行的，互相关图是设计坡度井眼部署的合适指标。使用互相关图，少量的钻孔可以充分捕获对边坡稳定性至关重要的大规模异质性。这些信息可以帮助识别滑移面并改善边坡稳定性分析。小规模的异质性，由于其短的相关结构或使用井眼数据调节后的土壤特性场的残留协方差，导致边坡稳定性分析中的不确定性很小。当边坡稳定性接近极限平衡状态时，这种小的不确定性可能对边坡稳定性分析至关重要。