东北大学学报(自然科学版) ›› 2023, Vol. 44 ›› Issue (12): 1734-1742.DOI: 10.12068/j.issn.1005-3026.2023.12.009

• 资源与土木工程 • 上一篇    下一篇

基于响应面法的地表塌陷可靠度分析

金长宇, 张家耀, 于中杰, 王强   

  1. (东北大学 深部金属矿山安全开采教育部重点实验室, 辽宁 沈阳110819)
  • 发布日期:2024-01-30
  • 通讯作者: 金长宇
  • 作者简介:金长宇(1979-),男,辽宁鞍山人,东北大学教授,博士生导师.
  • 基金资助:
    岩土力学与工程国家重点实验室开放基金资助项目(Z020017); 中央高校基本科研业务费专项资金资助项目(N2101041).

Reliability Analysis of Surface Subsidence Based on Response Surface Methodology

JIN Chang-yu, ZHANG Jia-yao, YU Zhong-jie, WANG Qiang   

  1. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110819, China.
  • Published:2024-01-30
  • Contact: ZHANG Jia-yao
  • About author:-
  • Supported by:
    -

摘要: 地下矿开采诱发的地表塌陷已成为矿山生产中重大的安全隐患.目前地表塌陷范围圈定仍采用传统的岩移角概念,其圈定范围与实际塌陷范围存在较大偏差.为改善上述问题,基于响应面法得到的可靠度指标建立了塌陷区范围的计算方法.首先利用离散元数值计算方法开展岩层塌陷变形的岩体力学参数敏感度分析,选择敏感度较强的参数作为随机变量拟合响应面函数;然后采用MATLAB计算不同劣化程度下岩体的可靠度指标,最终利用可靠度指标划分不同风险等级区域.利用该方法对辽宁省朝阳新华钼业有限责任公司钼矿塌陷区范围进行了计算分析,数值计算结果显示,岩体的弹性模量、内聚力和内摩擦角是地表塌陷区计算的敏感性参数,通过与无人机扫描的塌陷坑范围比对,证明提出的塌陷区计算方法较为合理与准确,可以为矿山塌陷区的安全管理提供工程指导.

关键词: 地表塌陷;可靠度;响应面法;参数敏感度;数值分析

Abstract: Surface collapse induced by underground mining has become a major safety hazard in mining operations. The traditional concept of rock movement angle is still used to delineate the scope of surface collapse. The delimitation scope often deviates from the actual collapse scope. Based on the reliability index obtained by the response surface method, the calculation method of collapse area is established for improving the above problem. Firstly, the sensitivity analysis of rock mass mechanical parameters is carried out using the discrete element numerical calculation method. The parameters exhibiting strong sensitivity are selected as random variables to fit the response surface function. Then the reliability index of rock mass under different levels of degradation is calculated by MATLAB. Finally, the reliability index is used to categorize different risk levels. The proposed method is used to calculate and analyze the collapse area of Chaoyang xinhua molybdenum mine Co.,Ltd. in Liaoning Province. The numerical calculation results show that the elastic modulus, cohesion and internal friction angle of rock mass are the sensitive parameters influencing the calculation of surface collapse area. By comparing the results with the collapse area scanned by an unmanned aerial vehicle(UAV), it has proved that the calculation method of collapse area proposed is reasonable and accurate, which can provide engineering guidance for the safety management of mining collapse areas.

Key words: surface collapse; reliability; response surface method; parameter sensitivity; numerical analysis

中图分类号: