基于Mohr-Coulomb准则的缓倾斜层状矿床矿柱强度估算及倾角效应  

Estimation of pillar strength and effect of inclination under gently inclined layered deposits based on Mohr-Coulomb criterion

作　　者：罗斌玉 叶义成[1,2] 曹中 王其虎[1,2] 李玉飞[1,2] 陈虎 LUO Bin-yu;YE Yi-cheng;CAO Zhong;WANG Qi-hu;LI Yu-fei;CHEN Hu(College of Resources and Environmental Engineering,Wuhan University of Science and Technology,Wuhan,Hubei 430081,China;Hubei Key Laboratory for Efficient Utilization and Agglomeration of Met Allergic Mineral Resources,Wuhan University of Science and Technology,Wuhan,Hubei 430081,China;Three Gorges Complex Construction Administration of China Three Gorges Corporation,Yichang,Hubei 443133,China)

机构地区：[1]武汉科技大学资源与环境工程学院,湖北武汉430081 [2]武汉科技大学冶金矿产资源高效利用与造块湖北省重点实验室,湖北武汉430081 [3]中国长江三峡集团公司三峡枢纽建设运行管理局,湖北宜昌443133

出　　处：《岩土力学》2019年第5期1940-1946,1956,共8页Rock and Soil Mechanics

基　　金：国家自然科学基金(No.51574183)~~

摘　　要：矿柱强度是评估矿柱稳定性的重要因素之一,矿柱的稳定是地下矿床安全开采的基础。以弹性力学理论为基础,分析了缓倾斜层状矿床中矿柱的受力状态,应用图解法绘制出表征矿柱应力状态的广义莫尔圆。根据应力圆与Mohr-Coulomb强度包络线之间的关系,建立了矿柱强度解析式,分析了莫尔圆圆心所在直线斜率tan_β随矿体倾角的变化特性,并结合数值模拟,研究矿体倾角效应对矿柱强度的影响。研究表明:应力圆圆心所在直线斜率tan_β是矿体倾角θ及侧压系数λ的二元函数,当tan_β取得最大值时,矿柱强度最小;当矿柱宽高比w_p/h_p保持一定且矿体倾角在5°～45°区间时,随着矿体倾角增大,矿柱强度逐渐减小。研究可为缓倾斜层状矿床矿柱强度估算提供参考。Pillar strength is one of the important factors for evaluating the pillar stability, which is the basis for safe mining for underground deposits. In this paper, the stress state of pillars in gently inclined layered deposits was analyzed under the combined action of normal stress and shear stress using the theory of elastic mechanics, and a generalized Mohr’s circle was plotted by graphic method to characterize the stress state of the pillars. According to the relationship between the generalized stress circle and the Mohr-Coulomb strength envelope, an analytic formula for the pillar strength was developed to analyze the variation of the slope of straight line( tanβ) at the center of Mohr circle with the dip angle of ore body. The influence of the ore-body inclination on the pillar strength was also analyzed by numerical simulation. Result shows that tanβ is a binary function of the deposit angle θ and the lateral pressure coefficient λ. When the maximum value of tanβ is obtained, the strength of the pillar is the smallest. When the wp/hp of the pillar keeps a same value and the ore body dip angle is within 5°~45°, the strength of the pillar gradually decreases with the increase of the dip of the ore body. The study can provide a reference for the estimation of the strength of the pillars in gently inclined bedded deposits.

关 键 词：MOHR-COULOMB准则 缓倾斜层状矿床 矿柱强度 倾角效应 

分 类 号：TD31[矿业工程—矿井建设]