基于数理统计理论的边坡安全系数新算法

A new mathematic theory of statistics for calculating the safety factor of bank slope

摘要: 露天开采的最终边坡角既决定着边坡的安全, 也直接影响着开采的经济效益。笔者在收集大量国外边坡工程实例的基础上, 运用数理统计理论, 归纳出边坡安全系数新算法。运用该算法校验了某矿开采设计的最终边坡角, 当α=45°, 安全系数F=1.49>F_min, 边坡稳定; 但当α=50°, F=1.33>F_min, 边坡也稳定, 这说明该矿还可加大最终边坡角。

Abstract: The final bank slope not only determines the slope stabilization but also direct offect the economic benefits of the mining.A new formula for calculating the safety factor of bank slope is induced from a lot of examples of slope engineering at abroad by meansof statistics.With the application of the formula, the bank slope (α)of a certain surface mine is verified, the safety factor F=1.49>F_min, givenα=45°, the side slope is stable, while F=1.33>F_min, givenα=50°, the side slope is also stable.The formula indicates that the final bank slope angle can be enlarged.