基于Spencer法的三维极限平衡边坡稳定性研究

Study on three-dimensional limit equilibrium for slope stability based on Spencer method

以改进的三维极限平衡法模型为基础,通过双二次贝塞尔曲面建立边坡三维滑裂面搜索模型,并采用遗传算法对最危险滑裂面进行搜索,计算边坡的安全系数。以渝昆高速公路某标段路基边坡为实例,分别从二维和三维角度对边坡稳定性进行分析,并进行对比。研究结果表明:三维极限平衡法模型计算得到的安全系数较二维极限平衡法偏大20%左右,可节省边坡防护投资。

Based on a modified three-dimensional method,the genetic algorithm is used to study the most dangerous slip surface and calculate the factor of safety by establishing the Bezier sliding surface searching model. This paper takes the high filled subgrade slope of the Yu-Kun expressway as an example to calculate its two-dimensional and three-dimensional safety factors,respectively. The results show that the three-dimensional factor of safety is about 20% greater than the values obtained from two-dimensional method. The investment of the slope protection can be saved according to the results of this study.