不规则矿柱稳定性的Voronoi图解法分析

刘晓天1; 2; 宋卫东1; 2; 曹 帅1; 2

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DOI:10.3969/j.issn.1671-4172.2017.01.005

有色金属（矿山部分）:2017,69(1):19-23

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不规则矿柱稳定性的Voronoi图解法分析

刘晓天1,2^1,2, 宋卫东1,2^1,2, 曹帅1,2^1,2

(1.（1. 金属矿山高效开采与安全教育部重点实验室，北京100083;2. 北京科技大学土木与环境工程学院，北京100083）)

Analysis of irregular pillar stability based on Voronoi diagram

LIU Xiaotian1,2^1,2, SONG Weidong1,2^1,2, CAO Shuai1,2^1,2

(1.(1. State Key Laboratory of High-Efficient Mining and Safety of Metal Mines, Ministry of Education, Beijing 100083, China;2. School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China))

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中文摘要: 为分析采场内不规则矿柱稳定性，以大尹格庄金矿为研究背景，确定矿柱稳定性影响因素后，应用Voronoi图解法结合AutoCAD计算矿柱载荷，并选择Sjoberg公式确定矿柱强度；基于矿柱载荷和矿柱强度推导不规则矿柱安全系数计算公式，进而对矿柱稳定性进行评价；借助MATLAB编程分析采场参数与矿柱安全系数之间的关系；通过计算采场极限跨度与矿柱尺寸分析矿柱不稳定的原因。研究表明，矿柱安全系数随矿柱有效承载宽度增加而增大，随矿柱承载边界跨度加大而减小；计算得到采场极限跨度为8.48 m，方形矿柱尺寸应不小于4.17 m；采场内矿柱破坏或失去承载能力的主要原因是采场跨度过大或矿柱尺寸不满足实际要求。

中文关键词: 采场矿柱稳定性 Voronoi图矿柱安全系数

Abstract:To analyze the stability of irregular pillar in stope, pillar stability factors are cleared based on the local pillars in Dayingezhuang gold mine. Pillar load is calculated by Voronoi diagram assisted by AutoCAD, and pillar strength is calculated by Sjoberg formula, therefore irregular pillar safety factor formula is derived from these two aspects, and irregular pillar stability is evaluated. Using MATLAB to program and analyze the relationship between safety factor and stope parameter, at the same time this paper counts the limit span of stope and pillar size and then analyzes the reason why the pillar is unstable. The study shows that the pillar safety factor increased significantly along with the increases of pillar effective bearing width and the decreases of pillar border bearing span; the limit span of stope is 8.48 m, the size of square pillar should be 4.17 m or lager; the reason of pillar damage or loss of carrying capacity is impractical of stope span and pillar size.

keywords: stope pillar stability Voronoi diagram pillar safety factor

文章编号： 中图分类号： 文献标志码：

基金项目:国家自然科学基金项目(51374033)；教育部博士点基金项目(20120006110022)

作者	单位
刘晓天1,2	（1. 金属矿山高效开采与安全教育部重点实验室，北京100083； 2. 北京科技大学土木与环境工程学院，北京100083）
宋卫东1,2	（1. 金属矿山高效开采与安全教育部重点实验室，北京100083； 2. 北京科技大学土木与环境工程学院，北京100083）
曹帅1,2	（1. 金属矿山高效开采与安全教育部重点实验室，北京100083； 2. 北京科技大学土木与环境工程学院，北京100083）

引用文本：
刘晓天1,2,宋卫东1,2,曹帅1,2.不规则矿柱稳定性的Voronoi图解法分析[J].有色金属（矿山部分）,2017,69(1):19-23.
LIU Xiaotian1,2,SONG Weidong1,2,CAO Shuai1,2.Analysis of irregular pillar stability based on Voronoi diagram[J].NONFERROUS METALS(Mining Section),2017,69(1):19-23.

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Author Name	Affiliation
LIU Xiaotian1,2	(1. State Key Laboratory of High-Efficient Mining and Safety of Metal Mines, Ministry of Education, Beijing 100083, China 2. School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China)
SONG Weidong1,2	(1. State Key Laboratory of High-Efficient Mining and Safety of Metal Mines, Ministry of Education, Beijing 100083, China 2. School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China)
CAO Shuai1,2	(1. State Key Laboratory of High-Efficient Mining and Safety of Metal Mines, Ministry of Education, Beijing 100083, China 2. School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China)