层状结构露天矿边坡稳定的上限解

Research on upper bound solution of layered slope stability for surface mines

边坡稳定评估是露天矿开采中最核心的问题之一。基于极限分析上限法,提出两层岩层的露天矿层状边坡垮落机理。不同岩层滑移线是由对数螺旋曲线组成,滑移线共有一个中心点,给出两岩层对数螺旋滑移线的速度。通过对单元块体运动机理和单元块体力学机理分析,根据功能原理,将多个变量的复杂问题转化为单个变量为坡高的函数,利用Matlab软件,给出稳定率随坡角的变化关系。该研究可以为露天矿边坡设计提供理论依据。

The assessment of the stability of slope poses one of the most notorious challenges in surface operation. This paper proposes a novel mechanism behind the slopes collapse of two layered rocks occurring in surface mines, using upper bound limit analysis method and highlights that the sliding surface behaves as a combination of different logarithmic spiral arcs with a common focus. The study drawing on the analysis of the movement mechanism and mechanical mechanism of the element blocks is focused on using principle of work and energy to transmute the complicated problem including multiple variables into the slope height of single variable function, and concludes that stability ratio varies depending on the slope angles, utilizing Matlab toolbox. The research may provide a theoretical basis for slope design of surface mines.