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黄金科学技术 ›› 2018, Vol. 26 ›› Issue (6): 729-735.doi: 10.11872/j.issn.1005-2518.2018.06.729

• • 上一篇    下一篇

“多米诺骨牌”破坏现象下的矿柱群系统可靠度评价

周子龙(),王亦凡*(),柯昌涛   

  1. 1. 中南大学资源与安全工程学院,湖南 长沙 410083
  • 收稿日期:2017-07-12 修回日期:2017-11-08 出版日期:2018-12-31 发布日期:2019-01-24
  • 通讯作者: 王亦凡 E-mail:zlzhou@csu.edu.cn;351375557@qq.com
  • 作者简介:周子龙(1979-),男,湖南长沙人,教授,博士生导师,从事采矿与岩土工程方面的教学与研究工作。
  • 基金资助:
    国家基础研究发展计划项目“复杂采空区大规模坍塌的灾害孕育机理研究”(编号:2015CB060200)和国家自然科学基金青年基金项目“硬岩矿床深部开采”(编号:51322403)联合资助

Reliability Evaluation of Pillars System Based on Domino Failure Effect

Zilong ZHOU(),Yifan WANG*(),Changtao KE   

  1. 1. School Resources and Safety Engineering,Central South University,Changsha 410083,Hunan,China
  • Received:2017-07-12 Revised:2017-11-08 Online:2018-12-31 Published:2019-01-24
  • Contact: Yifan WANG E-mail:zlzhou@csu.edu.cn;351375557@qq.com

摘要:

采矿作业后残留的采空区对地下作业和地表建筑安全造成极大威胁,开展采空区系统的稳定性评价,有助于指导正常生产并预防灾害的发生。从矿柱“多米诺骨牌”级联破坏现象出发,构建并联矿柱承载模型。对矿柱强度进行估算,建立矿柱群系统承载力的极限状态方程。以某铬铁矿为例,基于Monte-Carlo模拟方法评价不同安全系数标准下矿柱群系统的稳定性,结果表明矿柱群的失效概率远大于失效标准,与矿山实际坍塌相符。在此基础上,研究发现矿柱承载力和矿柱数量是影响矿柱群系统稳定的主要因素。

关键词: 矿柱群, 可靠度, 系统稳定性评价, 多米诺骨牌, 矿柱群承载力, 失效概率, 采空区

Abstract:

The residual goafs after mining operations is a great threaten to underground work and surface building safe.Stability assessment on goafs system helps to guide normal production and prevent disasters.According to pillars’ domino effect,multiple pillars system was constructed,based on which plliars’ strength was calculated and the limitation state equation was proposed.The system’s stability under criteria with different safety factors was estimated by Monte-Carlo simulation method. In a chromite mine,failure probability of multiple pillars system was much higher than failure criteria,which corresponds to the realistic failure.The stability of pillars system was greatly influenced by both pillar bearing capacity and pillar number.

Key words: pillar group, reliability, system stability assessment, domino-type failure, bearing capacity of pillars, failure probability, goaf

中图分类号: 

  • TD32

图1

采空区平面图"

图2

采空区剖面图"

图3

并联矿柱群系统示意图"

图4

计算系统失效概率的Monte-Carlo模拟流程图"

图5

某矿床矿柱布局[14] "

表1

某矿体矿柱基本参数 14 "

矿柱编号 矿柱几何结构 矿柱岩石强度/MPa 矿柱强度/MPa 矿柱承载能力/( × 103kN)
面积/m2 宽度/m 高度/m 体积/m3
2 63 7.9 12 756 14.98 19.1 1 203.3
3 36 6.5 12 432 14.98 19.8 712.8
4 36 6.3 12 432 14.98 19.8 712.8
5 19 4.5 12 228 14.98 20.7 393.3
6 42 7 12 504 14.98 19.6 823.2
8 18 4.2 12 216 14.98 20.8 374.4
10 166 9.2 12 1 992 14.98 17.9 2 971.4
12 108 10.8 12 1 296 14.98 18.5 1 998
13 50 7.7 12 600 14.98 19.4 970
14 213 11.7 12 2 556 14.98 17.7 3 770.1
15 30 6 12 360 14.98 20.1 603
17 10 3.3 12 120 14.98 21.6 216
18 40 6.7 12 480 14.98 19.7 788
19 15 4 12 180 14.98 21 315
20 35 6.4 12 420 14.98 19.9 696.5
21 100 8 12 1 200 14.98 18.5 1 850
22 86 9.6 12 1 032 14.98 18.7 1 608.2
23 130 11.8 12 1 560 14.98 18.3 2 379
24 170 10.5 12 2 040 14.98 17.9 3 043

表2

矿体参数"

参数 数值 参数 数值
岩石密度/(kg ? m-3 3 800 矿柱数量 19
埋深/m 100 最小矿柱承载力/ ( × 103kPa) 216
采空区投影面积/m2 3 106 最大矿柱承载力/ ( × 103kPa) 3 770.1

图6

矿柱承载力的概率分布"

图7

矿柱群承载力分布对系统失效概率的影响"

图8

矿柱群承载力均值对系统失效概率的影响"

图9

矿柱群数量对系统失效概率的影响"

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