基于Hoek-Brown强度折减法的边坡稳定性图表法研究

doi:10.13722/j.cnki.jrme.2017.1361

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摘要边坡稳定性图表为初步评价边坡的稳定性提供一种简单但却行之有效的途径。采用Hoek-Brown有限元强度折减法，提出一套求解Hoek-Brown准则下岩质边坡安全系数的稳定性图表。首先根据Hoek-Brown准则下岩体的正应力与剪切应力的关系，推导关于瞬时内摩擦角和瞬时黏聚力的一种显示表达公式，进而实现基于Hoek-Brown准则的有限元强度折减法在数值计算中的实施。算例分析表明，该方法获得的边坡安全系数和滑动面位置是合理可靠的，且避免对瞬时强度参数和的迭代求解。在此基础上，绘制求解? = 45°和D = 0条件下边坡安全系数的稳定性图表；进而提出分别用扰动权重影响系数、坡角影响权重系数来量化岩体扰动和边坡坡角对稳定性的影响，并绘制求解和的计算曲线。从而建立求解Hoek-Brown准则下岩质边坡安全系数的稳定性图表法。最后通过对2个工程实例的计算表明，采用本文图表法求解岩质边坡安全系数是合理可行的。

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	孙超伟1
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	李刚1

关键词 ：边坡工程, 岩质边坡, 安全系数, 强度折减, Hoek-Brown准则, 稳定性图表

Abstract：Stability charts provide a simple and effective way to evaluate the preliminary slope stability. Using the Hoek-Brown strength reduction FEM，this paper presents a series of stability charts to determine the safety factor of rock mass slopes satisfying the Hoek-Brown criterion. Firstly，the explicit formula of instantaneous Mohr- Coulomb friction angle and cohesive strength are derived based on the normal and shear stresses relationship of the Hoek-Brown criterion. Then，implementation of the non-linear Hoek-Brown strength reduction method is achieved in slope stability calculations. An example analysis shows that the Hoek-Brown strength reduction method can obtain a reliable safety factor and slip surface，but avoid determining instantaneous friction angle ?i and cohesive strength ci through iteration analysis. On this basis，stability charts for calculating the safety factors with a specified slope angle ? = 45°and disturbance factor D = 0 are proposed. Then，the disturbance weighting factor fD and the slope angle weighting factor f? are established to illustrate the influence of the disturbance factor and slope angle on the stability of rock slopes，respectively，and the charts for determining fD and f? are then provided. Thus，Stability charts for rock mass slopes satisfying the Hoek-Brown criterion are produced. Finally，this method is applied to two real engineering cases，and the results show that the proposed stability charts can be used to determine safety factors of rock mass slopes reliably.

Key words： slope engineering rock slope safety factor strength reduction Hoek-Brown criterion stability charts

引用本文:

孙超伟1，柴军瑞1，2，许增光2，覃源2，李刚1. 基于Hoek-Brown强度折减法的边坡稳定性图表法研究[J]. 岩石力学与工程学报, 2018, 37(4): 838-851.
SUN Chaowei1，CHAI Junrui1，2，XU Zengguang2，QIN Yuan2，LI Gang1. Stability charts for rock slopes based on the method of reduction of Hoek-Brown strength. , 2018, 37(4): 838-851.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2017.1361 或 http://www.rockmech.org/CN/Y2018/V37/I4/838

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