The study proposes a geographic information systems (GIS)-based slope stability analysis method assuming a normal stress distribution acting on the slip surface. Compared with traditional methods, the three-dimensional (3D) safety factor acquired through this method will more closely approximate the actual value. First, a 3D slope stability analysis model is developed using grid column units, and the spatial expression of calculation parameters based on the grid column is given by the spatial analysis capability of GIS. Then, four equilibrium equations are derived under the limit equilibrium condition. The normal stress distribution acting on the slip surface is analyzed to construct a reasonable normal stress distribution approximation function. The 3D safety factor is obtained through the approximation function and the Mohr-Coulomb strength criterion. Moreover, we develop a GIS-based extension module which combines the grid-based data with the 3D slope stability analysis model. The accuracy and feasibility of the module are verified by three typical cases.

这项研究提出了一种基于地理信息系统（GIS）的边坡稳定性分析方法，该方法假设作用在滑移面上的法向应力分布为零。与传统方法相比，通过此方法获得的三维（3D）安全系数将更接近实际值。首先，利用网格列单元建立了3D边坡稳定性分析模型，并通过GIS的空间分析能力给出了基于网格列的计算参数的空间表达。然后，在极限平衡条件下导出了四个平衡方程。分析作用在滑移面上的正应力分布，以构造合理的正应力分布近似函数。通过逼近函数和Mohr-Coulomb强度准则可获得3D安全系数。此外，我们开发了一个基于GIS的扩展模块，该模块将基于网格的数据与3D边坡稳定性分析模型相结合。通过三个典型案例验证了该模块的准确性和可行性。