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Application of the tortuous surface method to stochastic analysis of bimslope stability
Bulletin of Engineering Geology and the Environment ( IF 3.7 ) Pub Date : 2020-07-14 , DOI: 10.1007/s10064-020-01909-5
Exneyder A. Montoya-Araque , Ludger O. Suarez-Burgoa , Edmund W. Medley

This article presents a summary of the research on the novel tortuous surface method to stochastically analyze the stability of two-dimensional bimslopes, which are slopes composed of bimrocks or bimsoils. Tortuous failure surfaces (TFSs) are slip surfaces that develop around blocks when bimslopes fail. The method was automated through an algorithm that locates a slip surface passing around the blocks as if it were the solution of a “maze puzzle.” Slope stability analyses were performed using the limit equilibrium method (LEM). To compare many different models, the normalized factor of safety of a TFS (\(f_{\mathrm {n}}^{\ast }\)) was computed. \(f_{\mathrm {n}}^{\ast }\) is obtained by dividing the fs from the TFS by the fs from the surface potentially produced when there are no blocks (the critical circular surface or the matrix-only surface (MOS)). Two groups of analyses were performed. First, two tortuosity parameters, the tortuous length ratio (TLR) and the average tortuous width (ATW), were analyzed through the evaluation of a hypothetical slope of 10 m height and 35 inclination with varying block proportions. Second, similar hypothetical models were developed with three different values of the slope height, slope inclination, and ratio of the unit weight of the blocks to the unit weight of the matrix; then, the behavior of \(f_{\mathrm {n}}^{\ast }\) for different values of both the cohesion and friction angle of the matrix was presented in a sensitivity analysis. A prime conclusion of the research is that for prudent geotechnical design, stochastically based stability analyses of bimslopes are far preferable to deterministic analyses.



中文翻译:

曲折面法在双斜坡稳定性随机分析中的应用

本文提供了一种新的曲折表面方法的研究综述,该方法可以随机分析二维Bimslope的稳定性,二维Bimslope是由Bimrock或Bimsoils组成的斜坡。弯曲破坏面(TFS)是在Bimslope失效时在块周围形成的滑动面。该方法通过一种算法实现自动化,该算法可以定位穿过块体的滑动表面,就好像它是“迷宫难题”的解决方案一样。边坡稳定性分析是使用极限平衡法(LEM)进行的。为了比较许多不同的模型,计算了TFS的归一化安全系数(\(f _ {\ mathrm {n}} ^ {\ ast} \))。\(F _ {\ mathrm {N}} ^ {\ AST} \)是通过将所获得的˚F小号从TFS由˚Fš从当没有块(临界圆形表面或潜在产生的表面仅基质表面(MOS))。进行了两组分析。首先,通过评估假想的10 m高和35∘倾斜度(假定块体比例不同)来分析两个曲折参数,即曲折长度比(TLR)和平均曲折宽度(ATW)。其次,使用三个不同的坡度高度,坡度和块体单位重量与矩阵单位重量之比的值,开发了类似的假设模型。然后,\(f _ {\ mathrm {n}} ^ {\ ast} \)的行为在敏感性分析中给出了不同的基体内聚力和摩擦角值。该研究的主要结论是,对于审慎的岩土设计,基于随机的双斜坡的稳定性分析比确定性分析更可取。

更新日期:2020-07-14
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