中文摘要：

假设深凹露天矿边坡岩体强度参数随时间呈平稳性时间序列变化，并视其为连续、均质、各向同性的弹性体，且同时承受自重应力和水平应力共同作用。利用时间序列建模，得到任意时间下相关岩体强度参数的预测值关系式。在对其进行椭圆形喇叭曲面开挖情况下，取其边坡任意水平岩环作为力学分析的模型，结合轴比论、库伦一莫尔理论以及微元体临界下滑条件推导出具有时效性的椭圆形深凹露天矿边坡环向应力表达式，拟合椭圆形深凹露天矿稳定边坡形状。该边坡不仅能保证其稳定性，而且能减小剥采比，改善矿山经济效益。

英文摘要：

It is hypothesis that the strength parameters of deep furrow open pit slope varies stably with the time series, and the slope rocks are considered as the continuous, homogeneous and isotropic elastic modulus and jointly bear the gravity stress and horizontal stress at the same time. With the use of the time series modeling, the formula of the forecasting value for the rock mass strength parameters at random time is obtained. Then, taking the oval-shaped rock circle which is on the slope of an oval-shaped furrow pit as the model of the mechanical analysis, and combining with the theory of axial ratio, the Mohr-Coulomb theory and the critical conditions of gliding micro-body in the slope, the oval deep furrow slope＇tangential stress expression with the timeliness is deduced ,which fits the stable slope shape for the elliptic deep furrow pits. This slope not only can guarantee the slope stability, but also decrease the stripping ratio and improve the economic benefit of the