Stability calculation and numerical simulation of multi-stage high loess slopes
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摘要: 西北地区大量边坡支护工程面临的核心难题之一是多级高边坡稳定性分析,但是现有稳定性分析方法多为单级边坡稳定性分析方法。基于瑞典条分法,提出了多级黄土高边坡稳定性计算方法和多级边坡滑移面搜索模型,采用matlab软件编程、有限元模拟等手段,对多级边坡稳定性算法进行分析。结果表明:①该多级边坡稳定性算法和多级边坡滑移面搜索模型可以评价多级边坡整体稳定性,并依据敏感性分析对其进行修正;②经敏感性分析,坡高和坡率是设计放坡级数的重要考虑因素,同时,随着重度的降低、黏聚力的提升、摩擦角的增大,边坡稳定性随之提升;③通过有限元模拟软件,发现通过多级边坡滑移面搜索模型得到的滑移面较准确,支护后边坡的滑移面发生了后移;④根据多级黄土边坡支护工程案例,发现抗滑桩与框架预应力锚索的连接处及抗滑桩前部土体的应力较高,下排的锚索轴向拉力较大,类似工程设计时应重点加强。以上研究可为多级黄土高边坡稳定性分析提供科学依据。Abstract: One of the core problems faced by a large number of slope support projects in Northwest China is the stability analysis of multi-stage high slopes. However, most of the existing stability analysis methods are for the sigle-stage high slopes. Based on the Swedish slice method, a method for stability calculation of multi-stage high loess slopes and the relevant sliding surface search model are proposed. The stability algorithm is analyzed by means of the MATLAB software programming and thefinite element simulation. The results show that: (1) The proposed method and the relevant sliding surface search model can be used to evaluate the overall stability of the multi-stage slopes and modified according to the sensitivity analysis. (2) According to the sensitivity analysis, the slope height and the slope ratio are the primary factors to be considered in the design of its grade. At the same time, with the decrease of the gravity, the increase of the cohesion and the increase of the friction angle, the slope stability will be improved. (3) Through the finite element simulation software, it is found that the sliding surface obtained by the proposed sliding surface search model is more accurate, and the sliding surface of the slope has moved back after the support. (4) According to the support case of multi-stage loess slope, it is found that the stress of the joint between the anti-slide piles and the prestressed anchor cable of the frame and the soil in front of the anti-slide piles is high, and the axial tension of the anchor cable in the lower row is large, which should be emphasized in the design of similar projects. The above research results may provide scientific basis for the stability analysis of multi-stage high loess slopes.
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表 1 材料物理力学参数
Table 1 Physical and mechanical parameters of materials
编号 材料名称 γ/(kN·m-3) c/kPa φ/(°) 1 黄土状粉土 15 17 23 2 细砂 17 0 22 3 卵石 23 0 35 4 强风化砂岩 22 25 30 5 中风化砂岩 22 25 30 6 锚索 78 — — 7 桩 25 — — 8 混凝土 25 — — -
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