LU Kun-lin,ZHU Da-yong,YANG Yang 均质边坡准三维安全系数实用计算曲线

针对三维极限平衡法计算边坡安全系数存在着分析过程繁琐、较难普及推广等诸多不足，建立了一套实用的三维边坡安全系数计算曲线。假设三维滑面为中间圆柱和两端为部分球面的组合滑面，采用基于滑面正应力修正的极限平衡分析方法，计算36 864个均质边坡，根据计算结果绘制该套曲线。依据该套曲线可以得到，（1）根据已知边坡体的相关指标快速获得三维安全系数，能够得到较二维分析方法更准确、更客观的稳定性评价；（2）根据实际坡体的稳定状况反分析获得滑面土体强度参数，有效地克服二维反分析得到滑面土体强度参数偏高的弊端。研究成果可为均质边坡三维稳定性初步评价提供简单、实用的参考依据。

Calculation charts for estimating safety factors of 3D homogeneous slopes

A series of calculated curves for computing the safety factor of 3D soil slopes are presented here, in light of the analysis process of the 3D limit equilibrium solution to the slope stability is too complex to be widely used. The safety factors of 36864 homogeneous slopes were calculated in advance by using the 3D limit equilibrium solution with a simplified 3D slip surface. And a series of calculated curves were obtained based on these calculation results. According to the curves, the safety factor can be quickly obtained, which is more accurate and reasonable than the 2D analysis. And also the soil strength parameters of the slip surface can be got by back analysis, which overcome the disadvantage that the soil strength parameters obtained by 2D analysis are higher than practical values. The study provides a simple and practical method to the 3D slope stability analysis.