Taylor摩擦圆法在浸水边坡稳定性计算中的拓展-《建筑科学与工程学报》

文章信息/Info

Title:: Extension of Taylor’s Friction Circle Method in Submerged Slopes Stability Calculation

Author(s):: GAO Xiao-wen, LI Ping, LI Tong-lu, LI Zheng-zheng; Electronic Comprehensive Investigation Surveying Institute of Ministry of Information Industry

Keywords:: Taylor’s friction circle method; submerged slope; stability factor; critical slip surface

摘要:: 将Taylor摩擦圆法加以拓展，应用于浸水边坡的稳定性计算；叠加3个适当重度的独立边坡，按照Taylor摩擦圆法的原理，推导出水位下降情况下浸水边坡的稳定系数一般式，简化该式得到边坡在水位突降、水位缓降、不浸水及完全淹没等特定条件下的稳定系数解析式；利用推导的稳定系数计算式编写程序，搜索边坡的临界滑动面和最小稳定系数。结果表明：水位缓降条件下，稳定系数是黏聚力与坡高比值的线性函数，边坡陡时稳定系数随水位下降单调减小；边坡缓时稳定系数随水位下降先减小后增大，使稳定系数最小的水位在坡脚以上1/5~1/3坡高处；水位突降时边坡的稳定系数明显小于相应水位缓降时，并且水位突降幅度越大，稳定系数越小。

Abstract:: Taylor’s friction circle method was extended and applied to calculate submerged slope stability. Based on the principle of Taylor’s friction circle method and superposition of three independent slopes with appropriate unit weight, the general formula of the stability coefficient of submerged slope under the condition of water falling was derived. The general formula was simplified and used to obtain the analytical formula of stability coefficient of slope under certain conditions such as water level falling sharply, water level falling slowly, not water flooding and completely submerged. The derived formula of stability coefficient was used to write a program to search the critical slip surface and the minimum stability coefficient. The results show that the stability coefficient is a linear function about the ratio of cohesion and slope height under the condition of water level falling slowly. When the slope is steep, the stability coefficient decreases monotonically with the decrease of water level. When the slope is slow, the stability coefficient decreases firstly and then increases with the decrease of water level. The water level leading to the minimum stability coefficient is at 1/5-1/3 of slope height above the slope toe. When water level falls sharply, the stability coefficient of slope is obviously lower than that of water level falling slowly. The greater magnitude water drops, the smaller stability coefficient is.