传统的边坡稳定性因素敏感性分析方法基于确定性计算,仅能得到边坡稳定性对各变量的敏感性大小,无法获得边坡稳定性对不同滑面位置上的同一岩土参数的敏感性。在可靠度分析基础上提出一种新的边坡稳定性因素敏感性分析方法——可靠度分析方法,该方法采用随机场模型来描述边坡滑面上岩土参数的空间变异性,通过验算点法优化求解实现,分析结果可得到边坡的最小可靠指标、概率临界滑面、参数敏感性因子在临界滑面上的分布曲线。研究结果表明,敏感性因子分布曲线随边坡尺度和岩土参数波动范围的相对大小变化而变化,根据边坡可靠度指标在临界滑面上的不同位置上的敏感性因子,可对边坡加固位置提出设计改进,将有限的加固措施加于敏感性因子较高的位置,能够更有效地提高边坡的稳定性,较之传统的边坡稳定性因素敏感性分析方法具有明显的优越性。
Conventional sensitivity analysis methods for slope stability are based on deterministic calculation,which can only determine the sensitivity of slope stability on individual variable,the sensitivity of slope stability on the same parameter along the different slip surfaces can not be analyzed.A new sensitivity analysis approach for slope stability is proposed based on reliability analysis method;the random field model is employed in simulating spatial variability of rock or soil property along the slip surface.The proposed approach is implemented using First Order Reliability Method(FORM) with constraint optimization approach.The sensitivity analysis results include minimum reliability index of slope,probabilistic critical slip surface and sensitivity factors along the critical slip surface.The sensitivity factors of same rock or soil property to slope stability at different positions along the slip surface can be obtained,which are always varied along the slip surface with the relative dimension of slope size and the scale of fluctuation of rock or soil property.The analysis results can play an important role in slope design and reinforcement:according to the sensitivity factors of rock or soil property along the slip surface,the reinforcement measures should be placed in the most sensitive position in order to improve the stability of the slope more effectively,which has advantages over the conventional sensitivity analysis approach.