Abstract

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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

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.