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基于层次分析-模糊综合评价模型的露天矿边坡稳定性分析

李志国 徐涛 刘永杰 赵立春 徐勇超 杨天鸿 郑小斌

李志国,徐涛,刘永杰,等. 基于层次分析-模糊综合评价模型的露天矿边坡稳定性分析[J]. 中国地质灾害与防治学报,2023,34(0): 1-9 doi: 10.16031/j.cnki.issn.1003-8035.202207001
引用本文: 李志国,徐涛,刘永杰,等. 基于层次分析-模糊综合评价模型的露天矿边坡稳定性分析[J]. 中国地质灾害与防治学报,2023,34(0): 1-9 doi: 10.16031/j.cnki.issn.1003-8035.202207001
LI Zhi-guo,XU Tao,LIU Yong-jie,et al. Slope stability analysis of open-pit mine based on analytic hierarchy process-fuzzy comprehensive evaluation model[J]. The Chinese Journal of Geological Hazard and Control,2023,34(0): 1-9 doi: 10.16031/j.cnki.issn.1003-8035.202207001
Citation: LI Zhi-guo,XU Tao,LIU Yong-jie,et al. Slope stability analysis of open-pit mine based on analytic hierarchy process-fuzzy comprehensive evaluation model[J]. The Chinese Journal of Geological Hazard and Control,2023,34(0): 1-9 doi: 10.16031/j.cnki.issn.1003-8035.202207001

基于层次分析-模糊综合评价模型的露天矿边坡稳定性分析

doi: 10.16031/j.cnki.issn.1003-8035.202207001
基金项目: 国家自然科学基金资助项目(42172312,51974062)
详细信息
    作者简介:

    李志国(1997-),男,山东德州人,博士研究生,从事边坡稳定性研究,E-mail: 2210413@stu.neu.edu.cn

    通讯作者:

    徐 涛(1975-),男,湖北随州人,教授、博士生导师,从事岩石力学研究,E-mail: xutao@mail.neu.edu.cn

  • 中图分类号: 中图分类号: 文献标识码:

Slope stability analysis of open-pit mine based on analytic hierarchy process-fuzzy comprehensive evaluation model

  • 摘要: 露天煤矿台阶所构成的边坡是煤炭资源生产运输的重要依托对象,其稳定性评价对指导矿山连续生产具有重要的意义。本文在监测信息分析和边坡地质调查的基础上,充分考虑边坡几何形态、地质信息、气象水文信息、现场监测信息等多种指标信息,以层次分析法确定边坡稳定性分析的指标权重,基于隶属度最大原则确定边坡稳定性状态,建立了多源信息融合的边坡层次分析-模糊综合评价模型。将该模型应用于扎哈淖尔露天煤矿北帮边坡稳定性分析中,最后基于数值模拟对模型进行了验证。研究表明,基于所建立的边坡层次分析-模糊综合评价模型确定北帮边坡为基本稳定状态,基于数值模拟得出扎哈淖尔露天煤矿北帮边坡滑移面安全系数为1.121,模型结果与数值模拟结果所得到的边坡稳定性状态吻合度较好,验证了模型的有效性。该模型可以充分考虑多重信息对边坡稳定性分析的贡献,从而更全面准确分析边坡稳定性。
  • 图  1  扎哈淖尔露天煤矿北帮边坡现场图

    Figure  1.  Site map of the north slope at Zhahanaoer open-pit mine

    图  2  扎哈淖尔露天矿北帮研究剖面位置

    Figure  2.  Study cross-section at the north slope at Zhahanaoer open-pit mine

    图  3  扎哈淖尔露天矿北帮地质剖面

    Figure  3.  Geological cross-section of the north slope of open-pit mine

    图  4  扎哈淖尔露天矿北帮弱层岩芯

    Figure  4.  Core samples of weak layers on the northern slope of open-pit mine

    图  5  雷达监测点位变形速率

    Figure  5.  Deformation velocity rate at radar monitoring points

    图  6  研究剖面计算模型

    Figure  6.  Numerical model of study area

    图  7  强度折减弱化北帮边坡潜在滑移面模拟结果

    Figure  7.  SRM modelled potential slip surface of the northern slope

    表  1  连续型指标影响等级划分

    Table  1.   Classification of Impact levels for continuous influencing indicators

    稳定性坡高/m坡度/°年降雨量/mm地表变形
    速率(mm/d)
    稳定0~1000~150~5005
    基本
    稳定
    100~20015~30500~8005~30
    欠稳定200~30030~50800~120030~80
    不稳定>300>50>1200>80
    下载: 导出CSV

    表  2  离散型指标影响等级划分

    Table  2.   Classification of Impact levels for discrete influencing indicators

    稳定性岩性结构类型弱层地面变形地下水影响
    稳定坚硬岩体反倾坡很弱
    基本
    稳定
    中等坚硬斜交
    横坡
    反倾夹层较弱
    欠稳定软弱岩体近水平坡顺倾夹层、反倾基岩中等较强
    不稳定松散体顺向坡顺倾基岩强烈很强
    下载: 导出CSV

    表  3  层次分析法影响因子标度

    Table  3.   Analytic hierarchy Process (AHP) influence factor scale

    标度 含义
    1 ${u_i}$和${u_j}$指标影响程度相同
    3 ${u_i}$和${u_j}$指标影响程度相比,一个比另一个稍微重要
    5 ${u_i}$和${u_j}$指标影响程度相比,一个比另一个明显重要
    7 ${u_i}$和${u_j}$指标影响程度相比,一个比另一个强烈重要
    9 ${u_i}$和${u_j}$指标影响程度相比,一个比另一个极端重要
    2,4,6,8 介于以上两种比较之间的标度值
    倒数 ${u_i}$和${u_j}$指标之间判断${b_{ij}}$,${u_j}$和${u_i}$指标之间判断${1 \mathord{\left/ {\vphantom {1 {{b_{ij}}}}} \right. } {{b_{ij}}}}$
    下载: 导出CSV

    表  4  离散型指标评价隶属度表

    Table  4.   Discrete index evaluation membership degree

    离散型指标具体指标离散型指标评价隶属度
    稳定基本稳定欠稳定不稳定
    岩性坚硬岩体0.80.200
    中等坚硬0.40.50.10
    软弱岩体00.20.50.3
    松散体000.20.8
    结构类型顺向坡000.20.8
    近水平坡0.10.20.70
    斜交/横坡0.20.70.10
    均质/反倾0.80.200
    弱层1000
    反倾夹层0.20.70.10
    顺倾夹层、反倾基岩00.10.70.2
    顺倾基岩000.20.8
    地面变形0.80.200
    0.20.70.10
    中等00.10.70.2
    强烈000.20.8
    地下水影响很弱0.550.300.100.05
    较弱0.250.500.150.10
    较强0.050.100.300.55
    很强0.050.150.100.70
    下载: 导出CSV

    表  5  北帮边坡定量指标隶属度

    Table  5.   Membership degree of quantitative indexes for the Northern Slope

    稳定性坡高隶属度坡度隶属度年平均降
    雨量
    隶属度
    地表变形速率
    隶属度
    稳定00.8610
    基本稳定0.160.1400.83
    欠稳定0.84000.17
    不稳定0000
    下载: 导出CSV

    表  6  北帮边坡定性指标隶属度

    Table  6.   Membership degrees of qualitative indexes for the Northern Slope

    稳定性岩性隶属度结构类型
    隶属度
    弱层隶属度地面
    变形
    隶属度
    地下水影响
    隶属度
    稳定00.80.200.05
    基本稳定0.20.20.700.1
    欠稳定0.500.10.20.3
    不稳定0.3000.80.55
    下载: 导出CSV

    表  7  岩层物理力学参数表

    Table  7.   Physico-mechanical parameters of strata

    岩层重度/(kN·m−3内聚力/kPa内摩擦角/°
    排弃物料17.79.810.0
    第三系粘土层17.921.012.0
    第四系细砂层17.917.011.7
    浅部泥岩20.250.012.6
    泥砂岩互层23.4570.024.6
    煤层12.76024.5
    弱层17.975.7
    下载: 导出CSV

    表  8  边坡稳定性状态划分

    Table  8.   Classification of Slope Stability States

    边坡安全系数FF<1.001.00≤F<1.051.05≤F<1.2F≥1.2
    边坡稳定状态不稳定欠稳定基本稳定稳定
    下载: 导出CSV
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  • 收稿日期:  2022-07-04
  • 录用日期:  2023-10-10
  • 修回日期:  2023-08-28
  • 网络出版日期:  2023-10-25

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