边坡稳定性分析中传递系数法显式解和隐式解安全系数的对应关系探讨-《高速铁路技术》

文章信息/Info

Title:: Discussion on Corresponding Relationship of Safety Factors between Explicit and Implicit Solution in Slope Stability Analysis

Author(s):: QIU Yongping; LIU Wanru; ZHANG Dongqing; LUO Yinong; China Railway Eryuan Engineering Group Co., Ltd., Chengdu 610031, China

Keywords:: slope|stability|safety factor|the method of transferring coefficient|explicit solution|implicit solution|the method of increasing sliding force|the method of decreasing strength

摘要:: 本文研究了边坡稳定性分析中传递系数法显式解和隐式解安全系数的对应关系，总结了以下规律：（1）滑面为直线时，显式解和隐式解安全系数的对应关系与滑坡稳定系数有关，其公式为K_y=1/[1-（K_x-1）/K_w]；（2）滑面为折线时，隐式解安全系数取值由上述公式结果再乘以折减系数，折减系数大致在0.97~1.0范围内。折减系数取值与滑面形态、滑坡当前稳定性、安全系数取值等因素有关。通常当滑面弧度越大、滑坡当前稳定系数越大、安全系数取值越大时，采用的折减系数取值应越小；（3）强度折减法数值分析时，可采用计算出并折减后的隐式解安全系数进行分析；（4）若显式解的安全系数取值为1.05~1.25时，则其对应隐式解的建议取值为：直线型滑面取1.05~1.35；折线形滑面取1.05~1.35，并进行折减，折减系数0.97~1.0，中间值可按上述公式计算并折减。

Abstract:: This paper studies the corresponding relationship of safety factors between explicit and implicit solution obtained by transferring coefficient method in slope stability analysis and summarizes the following rules:(1) When the sliding surface is a straight line, the corresponding relationship between explicit and implicit solution safety factors is related to the landslide stability coefficient, which of the formula is K_y=1/[1-(K_x-1)/K_w]. (2) When the sliding surface is a broken line, the implicit solution safety factor value is that the result calculated by above formula is multiplied by the reduction factor that is approximately in the range of 0.97~1.0. The value of the reduction factor is related to the sliding surface morphology, current stability of landslide and safety factor value. Generally, when the radian of the sliding surface is larger, the stability coefficient of the landslide is larger, and the safety factor is larger, the value of the reduction factor should be smaller. (3) In the numerical analysis of the strength reduction method, the implicit safety factor after the reduction can be used. (4) If the explicit solution safety factor is 1.05~1.25, the recommended value of the corresponding implicit solution is 1.05~1.35 when the sliding surface is a straight line and the sliding surface is a broken line, and is reduced, and the reduction factor is 0.97~1.0. The medium value can be calculated and reduced according to the above formula.