滑坡稳定性分析的点安全系数计算方法

    CALCULATION METHOD OF POINT SAFETY FACTOR IN LANDSLIDE STABILITY ANALYSIS

    • 摘要: 滑坡稳定性评价是滑坡工程研究的基本问题之一,大多数滑坡具有分段差异性失稳变形特征,单一的稳定性系数不能描述滑坡的复杂滑动机理。本文基于推移式滑动机理和滑体刚性假设提出一种滑坡点安全系数理论计算方法,对滑体进行竖直分条,自上而下逐一对滑块进行受力分析,定义点安全系数为滑面单元抗滑力与平行于滑动方向的下滑力之比。根据点安全系数分布形式,可以定量描述滑坡的滑动机理。滑坡稳定性系数定义为点安全系数对滑块下滑力的加权平均值,据此评价滑坡的整体稳定性。以具有圆弧滑面的滑坡为例,通过稳定性系数的比较,表明本文方法计算结果略大于简化Janbu而略小于Morgenstern-Price法;当相邻滑块滑面倾角差小于10°时,本文方法与Morgenstern-Price的误差小于3%,同时相对于大倾角差而言,此时计算结果也更加稳定。实际工程案例表明,本文方法能够较好评价滑坡的局部稳定性和整体稳定性,可以有针对性的对滑坡失稳部位进行支挡结构设计。

       

      Abstract: Stability evaluation of landslides is one of the fundamental issues in landslide engineering research. Most landslides exhibit segmented and differential instability deformation characteristics, and a single stability coefficient cannot describe the complex sliding mechanisms of landslides. In this paper, a theory-based method for calculating the point safety factor of a landslide is proposed, which is based on the translational sliding mechanism and the assumption of rigid sliding mass. The landslide mass is divided vertically into sections, and a sequential force analysis is performed on each section from top to bottom. The point safety factor is defined as the ratio of the resisting shear force along the sliding direction to the downward sliding force. Based on the distribution of point safety factors, the sliding mechanisms of the landslide can be quantitatively described. The stability coefficient is defined as the weighted average of the point safety factors with respect to the downward sliding forces of the sections, which can be used to evaluate the overall stability of the landslide. Taking a landslide with a curved slip surface as an example, the comparison of stability coefficient shows that the results obtained by the proposed method are slightly larger than the simplified Janbu method and slightly smaller than the Morgenstern-Price method. When the difference in inclination angles between adjacent sliding surfaces is less than 10°, the error between the proposed method and the Morgenstern-Price method is less than 3%. Moreover, compared to large inclination angle differences, the results obtained by the proposed method are more stable under such conditions. Case studies in practical engineering demonstrate that the proposed method can effectively evaluate the local and overall stability of landslides, and it can be used for targeted design of support structures for unstable sections of landslides.

       

    /

    返回文章
    返回