朗肯土压力理论在露天边坡设计中的应用  

Application of Rankine Earth Pressure Theory in the Design of Open-pit Slope

作　　者：郭献章 李凤柱 秦嗣龙 张娟霞 杨治华 郑立志[5] 张学芝 GUO Xianzhang;LI Fengzhu;QIN Silong;ZHANG Juanxia;YANG Zhihua;ZHENG Lizhi;ZHANG Xuezhi(Experimental Education Center,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China;Yalesun Technology of Northern China Inc.,Qinhuangdao 066000,China;Miaogou Iron Mine of Hebei Iron&Steel Group Mining Co.Ltd.,Qinhuangdao 066000,China;School of Resources and Materials,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China;Development Planning Division,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China)

机构地区：[1]东北大学秦皇岛分校实验教育中心,河北秦皇岛066004 [2]北方燕盛工程技术有限公司,河北秦皇岛066000 [3]河北钢铁集团矿业有限公司庙沟铁矿,河北秦皇岛066000 [4]东北大学秦皇岛分校资源与材料学院,河北秦皇岛066004 [5]东北大学秦皇岛分校发展规划处,河北秦皇岛066004

出　　处：《金属矿山》2022年第10期177-184,共8页Metal Mine

基　　金：国家自然科学基金项目(编号51904057,52174070)。

摘　　要：受朗肯土压力理论中的极限平衡角(45°±φ/2)的启示,基于莫尔圆理论和北方燕盛公司的实践经验,推导发现滑坡体上缘和下缘连线的坡面角与内摩擦角(φ)有密切的关系,与坡面高度关系不大;当边坡角为(36°±φ/2)时,边坡稳定所需的边坡岩体内聚力很小,在50 m以下坡高时,一般岩土的强度都可以达到极限平衡的要求;在内摩擦角确定时,极限稳定状态的边坡高度与内聚力线性相关;边坡角为(45°+φ/2)时,滑坡厚度和坡体高度近乎标准线性关系;并由此引入了“工程友好三角区”的概念。从计算中得出的这些规律性认识,得到了实际工程的验证,也解释了相关工程地质现象,可在边坡参数及边坡支护方案的设计中参考试用。Inspired by the ultimate equilibrium angle of(45°±φ/2)in Rankine Earth Pressure Theory,based on the Moore circle theory and the practical experience of Yalesun Technology of Northern China Inc.,it is found that the slope angle of the landslide face(from upper and lower edge of the landslide)is closely related to the internal friction angle(φ),but not to the slope height.When the slope angle is(36°±φ/2),the cohesion of slope rock mass required for slope stability is very small.With the slope height less than 50 m,the strength of normal rock mass can reach the ultimate equilibrium requirement.When the internal friction angle is determined,the height of slope in ultimate stable state is linearly related to the cohesion.With slope angle of(45°±φ/2),the relationship between thickness of landslide and slope height is almost standard linear.So that the concept of"engineering friendly triangle"is introduced.These regularities found in the calculation are verified by practical engineering and explain the relevant engineering geological phenomena,so they can be used to guide the design of parameters and support schemes of the similar slopes.

关 键 词：朗肯土压力 极限平衡状态 滑坡体厚度 滑坡体高度 坡体的强度指标 

分 类 号：TD854.6[矿业工程—金属矿开采]