Abstract
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.
Highlights
The study proposes a geographic information systems (GIS)-based slope stability analysis method assuming a normal stress distribution acting on the slip surface
The resulting value calculated by using the approximation function is closer to the actual value
This study proposes a method for analyzing stability of the 3D slope based on GIS which assumes a normal stress distribution that works on the slip surface
Summary
The study proposes a geographic information systems (GIS)-based slope stability analysis method assuming a normal stress distribution acting on the slip surface. Scholars proposed to improve the limit equilibrium methods by assuming the normal stress distribution acting on the slip surface. Zhu and Zheng proposed that the normal stress distribution acting on the slip surface was composed of an initial function and a correction function, and the correction function was assumed to be a linear interpolation function with two parameters to be determined This method does not need to assume the inter-column forces, and compensates for flaws in the integration of calculations in conventional methods; these assumed functions cannot effectively simulate the actual normal stress distribution acting on the slip surface, which leads to inaccurate computational results. Figure 1. 3D view of landslide and one grid column. (a) 3D view of landslide. (b) 3D view of one grid column
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