岩土力学 ›› 2019, Vol. 40 ›› Issue (5): 1940-1946.doi: 10.16285/j.rsm.2017.2504

• 岩土工程研究 • 上一篇    下一篇

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

罗斌玉1, 2，叶义成1, 2，曹 中3，王其虎1, 2，李玉飞1, 2，陈 虎1, 2   

  1. 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
  • 收稿日期:2017-12-18 出版日期:2019-05-11 发布日期:2019-06-02
  • 通讯作者: 叶义成，男，1960年生，硕士，教授，博士生导师，主要从事采矿工程和安全工程方面的研究工作。E-mail：yeyicheng@wust.edu.cn E-mail:binyul@126.com
  • 作者简介:罗斌玉，男，1990年生，博士研究生，主要从事矿山安全方面的研究工作。
  • 基金资助:
    国家自然科学基金（No. 51574183）。

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

LUO Bin-yu1, 2, YE Yi-cheng1, 2, CAO Zhong3, WANG Qi-hu1, 2, LI Yu-fei1, 2, CHEN Hu1, 2   

  1. 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 ( ) 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 is a binary function of the deposit angle and the lateral pressure coefficient . When the maximum value of is obtained, the strength of the pillar is the smallest. When the 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.
  • Received:2017-12-18 Online:2019-05-11 Published:2019-06-02
  • Supported by:
    This work was supported by the National Natural Science Foundation (51574183).

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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 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 是矿体倾角θ及侧压系数 的二元函数，当 取得最大值时，矿柱强度最小；当矿柱宽高比 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。

关键词: Mohr-Coulomb准则, 缓倾斜层状矿床, 矿柱强度, 倾角效应

Abstract: 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 ( ) 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 is a binary function of the deposit angle and the lateral pressure coefficient . When the maximum value of is obtained, the strength of the pillar is the smallest. When the 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.

Key words: Mohr-Coulomb criterion, gently inclined layered deposits, pillar strength, the effect of inclination

中图分类号: 

  • TD 31
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