img

QQ群聊

img

官方微信

高级检索

黄金科学技术 ›› 2023, Vol. 31 ›› Issue (6): 900-910.doi: 10.11872/j.issn.1005-2518.2023.06.087

• 采选技术与矿山管理 • 上一篇    下一篇

基于RG-BN理论的破碎盘区矿柱群稳定性分析

高峰1(),李成成1(),覃庆韩2,欧恩国2   

  1. 1.中南大学资源与安全工程学院,湖南 长沙 410083
    2.广西华锡矿业有限公司铜坑矿业分公司,广西 河池 547205
  • 收稿日期:2023-06-08 修回日期:2023-10-24 出版日期:2023-12-31 发布日期:2024-01-26
  • 通讯作者: 李成成 E-mail:csugaofeng@csu.edu.cn;1095100291@qq.com
  • 作者简介:高峰(1981-),男,湖南怀化人,博士,副教授,从事矿山开采、灾害机理与防治等方面的研究工作。csugaofeng@csu.edu.cn
  • 基金资助:
    广西重点研发计划项目“深部厚大矿体中深孔落矿集约化采矿技术研究”(2023AB01130)

Stability Analysis of Broken Ore Pillars Group Based on RG-BN Theory

Feng GAO1(),Chengcheng LI1(),Qinghan QIN2,Enguo OU2   

  1. 1.School of Resources and Safety Engineering, Central South University, Changsha 410083, Hunan, China
    2.Guangxi Huaxi Mining Co. , Ltd. , Tongkeng Mining Branch, Hechi 547205, Guangxi, China
  • Received:2023-06-08 Revised:2023-10-24 Online:2023-12-31 Published:2024-01-26
  • Contact: Chengcheng LI E-mail:csugaofeng@csu.edu.cn;1095100291@qq.com

摘要:

为了准确获取矿柱群稳定性情况,通过分析矿柱群失稳机理,基于重整化群理论和贝叶斯网络建立矿柱群稳定性分析模型。以铜坑矿92号矿体矿柱群为研究对象,运用多项逻辑回归模型推导单个矿柱的失稳概率计算公式,将单个矿柱失稳概率输入贝叶斯网络得到矿柱群失稳概率。通过与二维重整化群模型得到的矿柱群临界失稳概率进行比对来分析矿柱群稳定性情况。研究结果表明:该方法能得到较为准确的矿柱群失稳概率,且通过贝叶斯网络概率反演,对矿柱进行敏感性分析可以获得矿柱群最安全回采顺序。

关键词: 矿柱群, 重整化群, 贝叶斯网络, 失稳概率计算, 敏感性分析, 矿柱回采优化

Abstract:

After mining operations,a large number of broken ore pillars will be left behind,forming a group of ore pillars.The group of ore pillars is of great significance for safe underground operations and the recovery of ore pillars resources.Under the influence of high ground stress,geological weak surface structure,free face generation,blasting vibration and other factors,the ore pillars group is very prone to instability,collapse,resulting in disaster of a large area of instability ore pillars group,thus causing great harm to underground workers and equipment.In order to strengthen the safety control of the mine pillars group,the stability analysis was carried out based on the renormalization group theory and Bayesian network.The renormalization group is a scaling transformation group.The self-similarity transformation of the basic unit can be used to describe the whole system,which is similar to the process in which the instability of a single pillar ultimately leads to the instability of the pillars group.Bayesian network can also overcome the uncertainty in the process of the instability of the pillars group.Therefore,based on the renormalization group theory and Bayesian network,the stability analysis model of pillars group was established.A pillars group in Tongkeng mine was taking as the research object.Firstly,the critical instability probability of the pillars group was derived based on the two-dimensional renormalization group model.Secondly,the multiple logistic regression model was used to deduce the calculation formula of the instability probability of a single pillar,then the stability,instability and instability probability of the pillar was calculated,and the stability probability of a single pillar was input into the Bayesian network to obtain the instability probability of the pillars group.Finally,by comparing with the critical instability probability of the pillars group obtained from the two-dimensional renormalization group model,the stability group of the pillars group was obtained.The research results show that this method can more accurately obtain the instability probability of the ore pillars group,and by defining the stability probability of a single ore pillar to carry out Bayesian network probability inversion and sensitivity analysis on the ore pillars,can design the optimal mining route of the ore pillars,and achieve safe,efficient and low loss recovery of pillars resources in the panel.This method can also provide reference for stability analysis and pillars resource recovery of similar mine pillar groups.

Key words: pillars group, renormalization group, Bayesian network, calculation of instability probability, sensitivity analysis, pillar recovery optimization

中图分类号: 

  • TD73

图1

矿柱群失稳“多米诺效应”"

图2

矿柱群失稳贝叶斯网络模型"

图3

基于RG-BN理论的破碎盘区矿柱群稳定性分析流程"

图4

矿柱群二维重整化群模型"

图5

Pn与Pn-1的RG映射曲线"

图6

矿柱群待回采区域矿柱布局"

表1

矿柱形态和岩石力学参数"

矿柱编号矿柱长度l/m矿柱宽度b /m矿柱高度h /m岩石单轴抗压强度σc/MPa上覆岩层厚度H /m密度ρ/(kg· m-3
T209-210801156166.322562 660
T210-2118014.555155.882552 620
T211-212802156164.782672 600
T212-213802195157.582472 660
T111-112801584142.112592 690
T115-S1802690148.852602 660
T313-314701458151.352542 660
T501-502701362147.322482 606
T502-5037014.669145.322642 670
1号间柱1652061141.242492 606
2号间柱3372559154.592522 660
3号间柱1122057168.892442 600

表2

单个矿柱稳定性概率分布"

矿柱编号b/hσP/σR?Ps?/%Pu?/%Pf?/%
T209-2100.1960.11261.21936.4292.351
T210-2110.2640.13954.05142.4883.461
T211-2120.3750.16948.78846.6534.560
T212-2130.2210.16338.66654.4836.851
T111-1120.1790.15837.84155.1347.025
T115-S10.2890.20425.56062.29112.149
T313-3140.2410.14947.02848.1944.778
T501-5020.2100.14447.08448.1884.728
T502-5030.2160.16536.78855.8077.405
1号间柱0.3280.12465.85132.2831.867
2号间柱0.4240.09183.28316.2400.477
3号间柱0.3510.12467.81230.5231.664

图7

矿柱群失稳BN模型"

图8

首次回采敏感性分析BN模型"

图9

二次回采敏感性分析BN模型"

Chen Shunman, Wu Aixiang, Wang Yiming,et al,2018.Analysis of influencing factors of pillar stability and its application in deep mining[J].Journal of Central South University(Science and Technology),49(8):2050-2057.
Cording E J, Hashash Y M A, Oh J,2015.Analysis of pillar stability of mined gas storage caverns in shale formations[J].Engineering Geology,184:71-80.
He Rongxing, Han Zhiyong, Zhou Yanjun,et al,2020.Analysis of disaster characteristics and preventive measures in goaf of metal and nonmetal mines[J].Research and Development of Mining Industry,40(9):33-38.
Hu Jianhua, Yang Qingfang, Zeng Pingping,2022.Fuzzy ISM-BN evaluation model and application of surface perceived risk of urban underground mines[J].Mining and Metallurgical Engineering,42(6):34-39.
Huang Min, Kulatilake P H S W, Luo Sihai,et al,2020.Study on optimization of calculation formula of traditional pillar safety factor[J].Mining and Metallurgy Engineering,40(4):32-37.
Li Enchong, Zhang Chenjie, Zhao Zhongyuan,2021.Stability analysis of goaf group based on renormalization group theory[J].Mining technology,21(3):88-91.
Li Feng,2014.Study on safety hazard control of goaf in a tungsten mine[J].China Safety Production Science and Technology,10(9):152-157.
Li Jinrong, Yang Yuzhong,2022.DS theory-risk assessment of coal mine ventilation system under Bayesian network[J].China Safety Science Journal,32(8):146-153.
Li Min, Lin Zhijun, Lu Yi,et al,2023.Risk assessment of coal mine gas explosion based on fuzzy Bayesian network[J].Journal of China Coal Society: 1-12[2023-10-18]..
Luo Yizhong,2005.Identification of Major Hazard Sources for Large-Area Goaf Instability[D].Changsha:Central South University.
Ma H, Wang J, Wang Y,2012.Study on mechanics and domino effect of large-scale goaf cave-in[J].Safety Science,50(4):689-694.
Najafi M, Jalali S E, Bafghi A R Y,et al,2011.Prediction of the confidence interval for stability analysis of chain pillars in coal mines[J].Safety Science,49(5): 651-657.
Qiu Fan, Ma Haitao, Ouyang Ming,et al,2014.Prediction of pillar instability based on Voronoi diagram and time effect[J].China Safety Production Science and Technology,10(2):38-43.
Wang Zhongqiu,2012.Deformation Characteristics and Stability Analysis of Pillar-roof System in Goaf[D].Qinhuang-dao:Yanshan University.
Wattimena R K,2014.Predicting the stability of hard rock pillars using multinomial logistic regression[J].International Jou-rnal of Rock Mechanics and Mining Science,71:33-40.
Xie Jiehui,2018.Self-organized Criticality and Rockburst Tendency of Rock Failure Process[D].Hengyang:Nanhua University.
Xiong Xiaobo, Cheng Haiyong, Wu Shunchuan,et al,2021.Mechanical response and stability analysis of pillar under zonal collaborative mining[J].Science and Technology of Sa-fety Production in China,17(8):77-83.
Xiong Youwei, Liu Fuchun, Lei Xianquan,et al,2023.Comprehensive detection and digital modeling of complex concealed goaf group under abandoned open pit[J].Mining Research and Development,43(1):43-47.
Ye Guangxiang, Huang Zhiqun, Wang Xiaojun,et al,2021.Evaluation of goaf stability in vein quartz tungsten mines based on unascertained measure theory[J].Gold Science and Technology,29(3):433-439.
Zhang Haibo, Song Weidong, Fu Jianxin,2014.Critical parameters and stability analysis of roof instability in large-span goaf[J].Journal of Mining and Safety Engineering,31(1):66-71.
Zhang Shukun, Zhang Xiangdong, Sun Qi,et al,2016.Study on critical instability probability of coal pillar group in goaf based on renormalization group theory[J].China Safety Production Science and Technology,12(5):104-108.
Zhang Xiaoquan, Yan Chunguang, Shang Hui,2009.Application of Bayesian network in CFIT risk assessment [J].Journal of Safety and Environment,9(6):173-176.
Zhang Yan, Ji Hongguang, Ye Jianhong,2013.Dynamic res-ponse analysis of disturbed rock slope under strong earthquake[J].Journal of China Coal Society,38(Supp.2):304-311.
Zhao Kang, Yan Huabiao, Feng Xiao,et al,2016. Stability analysis of pillar based on energy law[J].Chinese Journal of Theoretical and Applied Mechanics,48(4):976-983.
Zhou Zilong, Wang Yifan, Ke Changtao,2018a.‘Domino’des-truction phenomenon of pillar group system reliability evaluation[J].Gold Science and Technology,26(6):729-735.
Zhou Zilong, Ke Changtao, Wang Yifan,et al,2018b.Mechanism analysis of chain instability of pillar group based on particle discrete element[J].Chinese Journal of Geological Disasters and Prevention,29(4):78-84.
Zhu Defu, Tu Shihao, Wang Fangtian,et al,2018.Stability evaluation of coal pillar group in shallow buried room goaf[J].Journal of China Coal Society,43(2):390-397.
Zhu Wancheng, Dong Hangyu, Liu Xige,et al,2022. Study on multi-pillar bearing and instability failure in metal mines[J].Journal of Mining and Strata Control Engineering,4(4):5-31.
陈顺满,吴爱祥,王贻明,等,2018.深部回采矿柱稳定性影响因素分析及其应用[J].中南大学学报(自然科学版),49(8):2050-2057.
何荣兴,韩智勇,周颜军,等,2020.金属非金属矿山采空区灾害特征分析及预防措施[J].矿业研究与开发,40(9):33-38.
胡建华,杨庆芳,曾平平,等,2022.城市地下矿山地表感知风险模糊ISM-BN评价模型与应用[J].矿冶工程,42(6):34-39.
黄敏, Kulatilake P H S W,罗嗣海,等,2020.传统矿柱安全系数计算公式优化研究[J].矿冶工程,40(4):32-37.
李恩翀,张晨洁,赵中原,2021.基于重整化群理论的采空区群稳定性分析[J].采矿技术,21(3):88-91.
李锋,2014.某钨矿采空区安全隐患治理研究[J].中国安全生产科学技术,10(9):152-157.
李金蓉,杨玉中,2022.DS理论—贝叶斯网络下的煤矿通风系统风险评估[J].中国安全科学学报,32(8):146-153.
李敏,林志军,鲁义,等,2023.基于模糊贝叶斯网络的煤矿瓦斯爆炸风险评估[J].煤炭学报: 1-12[2023-10-18]..
罗一忠,2005.大面积采空区失稳的重大危险源辨识[D].长沙:中南大学.
丘帆,马海涛,欧阳明,等,2014.基于Voronoi图和时间效应的矿柱失稳预测[J].中国安全生产科学技术,10(2):38-43.
王中秋,2012. 采空区矿柱—顶板体系变形特征及其稳定性分析[D].秦皇岛:燕山大学.
谢杰辉,2018.岩石破裂过程的自组织临界特性及岩爆倾向性[D].衡阳:南华大学.
熊晓勃,程海勇,吴顺川,等,2021.分区协同开采下矿柱力学响应与稳定性分析[J].中国安全生产科学技术,17(8):77-83.
熊有为,刘福春,雷显权,等,2023.废弃露天坑下复杂隐伏空区群综合探测及数字化建模[J].矿业研究与开发,43(1):43-47.
叶光祥,黄智群,王晓军,等,2021.基于未确知测度理论的石英脉型钨矿山采空区稳定性评价[J].黄金科学技术,29(3):433-439.
张海波,宋卫东,付建新,2014.大跨度空区顶板失稳临界参数及稳定性分析[J].采矿与安全工程学报,31(1):66-71.
张淑坤,张向东,孙琦,等,2016.基于重整化群理论的采空区煤柱群临界失稳概率研究[J].中国安全生产科学技术,12(5):104-108.
张晓全,燕春光,尚晖,2009.贝叶斯网络在CFIT风险评价中的应用[J].安全与环境学报,9(6):173-176.
张燕,纪洪广,叶剑红,2013.扰动岩质边坡强震作用下动力响应分析[J].煤炭学报,38(增2):304-311.
赵康,鄢化彪,冯箫,等,2016.基于能量法的矿柱稳定性分析[J].力学学报,48(4):976-983.
周子龙,王亦凡,柯昌涛,2018a.“多米诺骨牌”破坏现象下的矿柱群系统可靠度评价[J].黄金科学技术,26(6):729-735.
周子龙,柯昌涛,王亦凡,等,2018b.基于颗粒离散元的矿柱群连锁失稳机理分析[J].中国地质灾害与防治学报,29(4):78-84.
朱德福,屠世浩,王方田,等,2018.浅埋房式采空区煤柱群稳定性评价[J].煤炭学报,43(2):390-397.
朱万成,董航宇,刘溪鸽,等,2022.金属矿山多矿柱承载与失稳破坏研究[J].采矿与岩层控制工程学报,4(4):5-31.
[1] 许云美,袁利伟,龙皓楠. 干堆尾矿库稳定性影响因素的敏感性分析[J]. 黄金科学技术, 2023, 31(6): 1014-1022.
[2] 周子龙,王亦凡,柯昌涛. “多米诺骨牌”破坏现象下的矿柱群系统可靠度评价[J]. 黄金科学技术, 2018, 26(6): 729-735.
[3] 杨明财, 盛建龙, 叶祖洋, 董舒. 基于FlAC3D的露天矿边坡稳定性及影响因素敏感性分析[J]. 黄金科学技术, 2018, 26(2): 179-186.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] 陈芳芳,张亦飞,薛光. 黄金冶炼污染治理与废物资源化利用[J]. J4, 2011, 19(2): 67 -73 .
[2] 王吉青,王苹,赵晓娟,林乡伟. 黄金生产尾矿综合利用的研究与应用[J]. J4, 2010, 18(5): 87 -89 .
[3] 王书春,王瑞腾,孙树提. 内蒙古柴胡栏子金矿床矿体赋存特征及深部预测[J]. J4, 2012, 20(4): 109 -112 .
[4] 谢覃江. 云南省人头箐金矿床地质特征及成因探讨[J]. 黄金科学技术, 0, (): 0 .
[5] 张壮,李文,刘建明,曾庆栋. 大兴安岭中南段银多金属矿床勘查进展与找矿思路[J]. 黄金科学技术, 2016, 24(4): 60 -65 .
[6] 朱学礼,冯涛,柏瑞,宁霄峰,李肖,张子衿. “地质+”多元驱动智慧勘查初步应用[J]. 黄金科学技术, 2017, 25(1): 46 -54 .
[7] 陈建宏,覃曹原,邓东升 . 基于AHP和物元TOPSIS法的层状岩体巷道冒顶风险评价[J]. 黄金科学技术, 2017, 25(1): 55 -60 .
[8] 张文伟, 底青云, 雷达, 马凤山. 物探新方法-多通道瞬变电磁法在金属矿勘探中的应用[J]. 黄金科学技术, 2018, 26(1): 1 -8 .
[9] 赵鹤飞,杨洪英*,张勤,佟琳琳,金哲男,陈国宝. 硫代硫酸盐浸金各因素影响研究现状[J]. 黄金科学技术, 2018, 26(1): 105 -114 .
[10] 何顺斌,刘杰. 基于谱聚类算法的岩体结构面产状优势分组[J]. 黄金科学技术, 2017, 25(4): 46 -51 .