基于独立覆盖流形方法与矢量和方法的边坡稳定性分析

Slope stability analysis based on independent cover manifold method and vector sum method

提出一种基于独立覆盖流形方法(independent cover manifold method,ICMM)和矢量和方法的边坡稳定性分析方法。该方法采用ICMM计算边坡岩土体的应力场,避免了有限元及传统流形方法复杂的前处理过程,可以方便地计算含节理断层等不连续面的复杂边坡的应力状态。在此基础上,采用矢量和方法计算潜在滑裂面的安全系数,矢量和方法基于边坡的真实应力状态和力的矢量特征,物理意义明确,而且不需要类似强度折减法的迭代计算,计算代价小。同时采用模拟退火遗传算法进行优化搜索,得到边坡的临界滑裂面。提出方法结合以上优点,可以高效精确地计算含有节理断层的复杂边坡的临界滑裂面和安全系数。4个代表性算例以及工程案例的分析应用验证了提出方法的有效性和精确性。

A method of slope stability analysis based on independent cover manifold method（ICMM） and vector sum method（VSM） was proposed in this paper. ICMM is employed to calculate the stress fields,particularly for slopes containing discontinuities（joint,faults etc.）. This method avoids the complex pre-processing algorithm in the finite element and numerical manifold methods. To calculate the factor of safety,VSM is carried out with the real stress state and the vector sum algorithm. VSM possesses the merits of clear physical meaning and high efficiency without the time-consuming iterations involved in the strength reduction method. Besides,the simulated annealing genetic algorithm（SAGA） is used to determine the critical slip surface. With the above advantages,the factor of safety of complex slopes containing discontinuities could be calculated effectively and precisely by the proposed method. Four representative numerical examples and one engineering case validate the proposed method.