基于最小势能法的三维临界滑裂面搜索方法

为了得到三维边坡的临界滑裂面，提出了6个参数控制的三维滑裂面构造方法，基于边坡三维最小势能稳定性分析方法建立目标函数，采用遗传算法实现了临界滑裂面的搜索，并开发了相应的搜索程序。为检验文中搜索方法的合理性，将其与其他方法得到的临界滑裂面以及最小安全系数进行比较，并且将室内模型试验得到的临界滑面与理论搜索的结果进行对比。研究表明：搜索方法可实现稳步收敛；针对算例进行多变量同时变化的搜索验算，得到了与极限平衡法较为接近的结果，表明提出的搜索方法是合理的；理论计算结果与室内模型试验坡面加载得到的边坡临界滑面较为接近，再次验证三维边坡临界滑面搜索方法是可行的。

Search strategy of three-dimensional critical slip surface based on minimum potential energy

In order to obtain the critical slip surface of the three-dimensional slope, the construction method of six parameter-controlled three-dimensional slip surface is proposed, and the objective function based on the minimum potential energy stability analysis method is established. The genetic algorithm is used to search the critical slip surface, and the corresponding search process is developed. To validate the rationality of this method, results from this method are compared with the critical slip surface and the minimum safety factor obtained by other methods, and the critical slip surface obtained from the indoor model test is compared against the theoretical search results. The results show that the search method in this paper can achieve steady convergence. Simultaneous change of multivariate search is performed for the examples in this paper, and the results are close to the results from limit equilibrium method, which indicates that the proposed search method is reasonable. The theoretical calculation results are close to the critical slip surface of the slopes obtained from the model loading tests, which again proves that the critical slip surface searching method of the three-dimensional slope is feasible.