边坡稳定性规划的机会约束方法

 边坡设计的稳定性规划取决于理论分析方法和岩土力学性质参数选择两个方面。极限平衡理论是岩土边坡稳定分析中常用的“确定性”的数学模型之一，但稳定分析的结果及其所搜索确定的潜在滑动面均受到岩土力学性质参数的强烈影响。常用的可靠性分析模型仅仅只考虑岩土力学性质参数的随机性，而不考虑“确定性”的数学模型和影响岩土力学性质参数随机变化的约束特性。机会约束理论研究边坡稳定的规划就是将“确定性”的数学模型和影响岩土力学性质参数随机变化的约束条件转化为可靠性分析的等价类，进而实现潜在滑动面搜索确定前提下边坡稳定性的可靠指标。算例给出这种分析思路的计算结果。

METHOD OF CHANCE CONSTRAINED ON PROGRAMMING OF SLOPE STABILIZATION

There are two aspects influencing on stabilization planning，which are theoretical analysis method and selection of the mechanical property parameters of soil and rock mass. Limit equilibrium theory is one of the normal mathematical approach，in which physics meaning is determinacy，in stability analysis of soil and rock mass. But the result of stabilization computation and the potential slip surface are intensely affected by the mechanical property parameter. The randomness of the mechanical property parameter is only considered in the normal failure-safe analysis model but the restraining characteristic of the determinacy mathematical model and random change of the mechanical property parameter are not contained. The planning of slope stability with method of chance constrained theory means that the restraining conditions of the determinacy mathematical model and randomness of the mechanical property parameter are inverted as the equivalence class of failure-safe analysis model. So the reliability index of slope could be obtained under the condition of the defined slip surface based on searching calculation. In the paper，the analysis idea is shown with an example.