边坡稳定性分析条分法的细胞自动机求解和应用

Cellular automata solution for slope stability analysis by slices model and its application

边坡稳定性分析的条分法如瑞典条分法、毕肖普条分法等,现仍是边坡分析和评估的主要方法。由于刚体条分的假定,如何简化和计算条间力,是各种方法里最为关键的问题。合理的简化成为不同方法的求解途径,也是影响其计算结果差别的主要和直接的原因。然而,带着这一简化的遗憾,各种条分法仍是我们目前分析边坡稳定性的主要手段。针对研究现状,尝试更合理求解条分法条间力的求解方法,对条块刚性接触的条间力,不做简化,而引入细胞自动机求解方法,通过迭代得到条间力的解,从而使超静定的边坡条分力学模型,得到了唯一收敛的静定解。编制了相应的程序软件CASlope。结果表明,这一求解途径是可行的,所求解的结果是合理的。

Slices models for slope stability analysis, such as Sweden simplified method, Bishop simplified method, etc, are still the mainstream methods of slope analysis and evaluation. However, due to the rigid body assumption, how to simplify and calculate the forces between rigid slices is the most critical problem for slices model. A reasonable simplified condition will result in a solving approach to different methods, and also is the main and direct reason that affects the difference of calculation results. However, even a simplified condition must be given, slices methods are still important means of the analysis of slope stability at present. Considering the fact existing, this paper attempts to present a more reasonable approach to calculate the force between slices. In this study, the forces between slices will not be simplified by adopting the cellular automata method, and the forces will be obtained by an iterative solution so that the only statically determinate convergent solution is obtained for the statically indeterminate slope slices model. The corresponding program software CASlope is developed. Example results show that this approach is feasible and the results are reasonable.