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基于开源地理信息系统(GRASS GIS),建立三维极限平衡Hovland模型,研究了边坡稳定性计算方法。采用空间平面投影方法对椭球滑动面中各组成单元面积计算方法进行改进,提高了计算效率。考虑边坡主滑方向与各单元倾向之间的关系,给出了能反映正负变化的滑动面各单元安全系数表达式。通过引入约束Delaunay三角形剖分方法与网格优化算法来生成滑面不规则三角形格网(简称TIN)模型,弥补了Grid模型在滑动面边界准确表达方面的不足。相比Grid模型,在相同网格分辨率条件下,TIN滑动面获得的边坡整体安全系数更加接近正确解,能够有效提升计算精度。通过考题与工程实例,对所提方法与程序模块的正确性进行了验证。结果表明,通过分析滑动面上各单元的安全系数,可以进一步划分不稳定区域与阻滑区,能够为滑坡治理措施的制定提供重要参考。
Based on the open source GIS (Geographic Information System), a three-dimensional limit equilibrium Hovland model is established and the calculation method of slope stability is studied. The spatial plane projection method is used to improve the computational efficiency of each unit area in the ellipsoidal sliding surface. Taking into account the relationship between the main slip direction of the slope and the tendency of each unit, the expression of the safety factor of the sliding surface that can reflect the positive and negative changes is given. By introducing constrained Delaunay triangulation method and grid optimization algorithm to generate slip irregular triangular grid (referred to as TIN) model, make up the grid model in the sliding surface boundary accurate expression of the deficiencies. Compared with the Grid model, the overall safety factor of the slope obtained by the TIN sliding surface is closer to the correct solution under the same grid resolution, which can effectively improve the calculation accuracy. Through exam questions and project examples, the correctness of the proposed method and program module is verified. The results show that by analyzing the safety coefficient of each unit on the sliding surface, the unstable area and the non-slip area can be further divided, which can provide important reference for the formulation of landslide control measures.