基于无限条分法的黄土边坡稳定性研究

1.陕西长武亭南煤业有限责任公司,陕西 咸阳 713602; 2.中外建华诚城市建设有限公司,北京 100195

无限条分法; 黄土边坡; 稳定性; 裂面; 遗传进化法

Loess slope stability analysis based oninfinite slicing method
XING Yan-tuan1,ZHANG Bo2

(1.Shaanxi Changwu Tingnan Coal Co.,Ltd.,Xianyang 713602,China; 2.CCI Urban Construction & Development Co.,Ltd.,Beijing 100195,China)

infinite slicing method; loess slope; stability; sliding-plane; genetic evolution method

DOI: 10.13800/j.cnki.xakjdxxb.2015.0515

备注

减少边坡的稳定性造成的地质灾害发生,关键在于研究其稳定性分析方法能否准确地分析其稳定性及破坏模式。根据极限平衡法的边坡稳定性分析理论,研究黄土边坡滑裂面不过坡脚情况下的无限条分法计算理论,通过公式的推导,得到了滑动力矩Mr,抗滑力矩Mf的解析公式,进而得出安全系数K为滑弧半径R,滑动体弦倾角α和坡角平面距离Δl的函数; 对遗传进化法搜索最危险滑裂面过程进行有效而合理的简化,依据生物遗传进化步骤中的复制、杂交、变异、竞争和选择等概念,在最危险滑裂面搜索过程中,把双向变异改进为单向变异,增加坡角平面距离Δl变异基因。找出在仅其中一个因素进行变化制约条件下的最小安全系数并确定其适用性,之后变化另一因素重复搜索过程,最终找出最小安全系数以及对应的各因素值,实现对滑裂面不过坡脚的最危险滑裂面搜索; 并利用FORTRAN程序编译软件完成了搜索程序的编译; 通过工程算例验证,表明该算法具有一定的安全可靠及适用性。

The key to reduce geological disasters caused by the stability of the slope is to study whether the stability analysis method could analyze accurately the stability of slope and mode of slope failure.Based on the theory of slope stability analysis of limit equilibrium method,this article studied the infinite slicing calculate theory under the circumstance that the loess slope sliding-plane does not cross the slope foot.Through the formula derivation,analytic formula of the sliding torque Mr and resisting moment Mf are calculated,and then it is concluded that the safety factor K is function of the smooth arc radius R,the sliding body string angle α and angle of slope plane distance Δl; simplify the process of searching the most dangerous sliding surface using genetic evolution method reasonably and effectively.On the basis of concept of replication,hybridization,variation,competition and selection in biological genetic evolution steps,in the process of the most dangerous sliding surface search,change the two-way variation for one-way,and increase the mutant genes of the plane distance of slope angle.While other factors remain unchanged and only one of the factors changes,find out minimum safety factor under the restrictive condition and determine its applicability.Then changing another factor and repeating the searching process,the minimum safety factor and the corresponding value of various factors will be found out.Realizing search for the most dangerous the sliding-plane on the sliding-plane without cross slope foot; using FORTRAN software program to complete the compilation of the search procedure; the engineering examples confirm that this method is feasible and safe.