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    基于GIS的改进AHP型脆弱性指数法

    刘守强 武强 曾一凡 宫厚健 李哲

    刘守强, 武强, 曾一凡, 宫厚健, 李哲, 2017. 基于GIS的改进AHP型脆弱性指数法. 地球科学, 42(4): 625-633. doi: 10.3799/dqkx.2017.049
    引用本文: 刘守强, 武强, 曾一凡, 宫厚健, 李哲, 2017. 基于GIS的改进AHP型脆弱性指数法. 地球科学, 42(4): 625-633. doi: 10.3799/dqkx.2017.049
    Liu Shouqiang, Wu Qiang, Zeng Yifan, Gong Houjian, Li Zhe, 2017. The Improved AHP Vulnerable Index Method Based on GIS. Earth Science, 42(4): 625-633. doi: 10.3799/dqkx.2017.049
    Citation: Liu Shouqiang, Wu Qiang, Zeng Yifan, Gong Houjian, Li Zhe, 2017. The Improved AHP Vulnerable Index Method Based on GIS. Earth Science, 42(4): 625-633. doi: 10.3799/dqkx.2017.049

    基于GIS的改进AHP型脆弱性指数法

    doi: 10.3799/dqkx.2017.049
    基金项目: 

    国家重点研发计划重点专项项目 2016YFC0801801

    国家自然科学基金项目 41602262

    高等学校博士学科点专项科研基金项目 20130023120018

    国家自然科学基金项目 41272276

    详细信息
      作者简介:

      刘守强 (1981-),男,博士,主要从事矿井水害方面的教学与研究工作.ORCID:0000-0003-2755-6853.E-mail: sqliu@cumtb.edu.cn

    • 中图分类号: P641.4

    The Improved AHP Vulnerable Index Method Based on GIS

    • 摘要: AHP法是煤层底板突水预测预报的关键技术之一,但传统基于“1~9”标度的AHP法往往存在一致性效果不够理想等问题.通过对AHP法的改进研究,提出了基于“10/10~18/2”标度的改进AHP法型脆弱性指数法评价技术.以成庄矿3#、9#和15#煤层底板奥灰突水脆弱性评价为例,在建立各主控因素专题层图基础上,应用基于“10/10~18/2”新标度的改进AHP法,确定了各主控因素的权重;进一步建立了煤层底板奥灰突水的脆弱性评价模型,得出了各煤层脆弱性评价分区.研究表明,改进的AHP法构建的判断矩阵具有较好的一致性;通过与传统突水系数法评价结果对比可知,基于GIS的改进AHP型脆弱性指数法评价能够真实反映多因素影响下煤层底板突水的非线性动力过程,评价结果更为吻合实际.

       

    • 图  1  水文地质概化模型

      Fig.  1.  Hydrogeological generalized model

      图  2  煤层底板奥灰带压分区

      a.3#煤层奥灰带压分区;b.9#煤层奥灰带压分区;c.15#煤层奥灰带压分区

      Fig.  2.  Pressure zoning sketch of the coal seam floor

      图  3  各煤层主控因素专题层

      a、d、g、j、m.3#煤层;b、e、h、k、n.9#煤层;c、f、i、l、o.15#煤层;a、b、c.有效隔水层等效厚度;d、e、f.矿压破坏带下脆性岩厚度;g、h、i.陷落柱分布危险性系数;j、k、l.断层和褶皱轴的分布危险性系数;m、n、o.断层和褶皱轴的交点及端点的分布危险性系数;厚度单位 (m)

      Fig.  3.  Thematic sketch of main control factors of each coal seam

      图  4  断层规模指数专题层

      Fig.  4.  Thematic sketch of the fault scale index

      图  5  奥灰富水性专题层

      Fig.  5.  Thematic sketch of the richness of limestone aquifer

      图  6  奥灰水压专题层

      Fig.  6.  Thematic sketch of the pressure of limestone aquifer

      图  7  3#、9#、15#煤层底板奥灰突水脆弱性评价层次分析结构模型

      Fig.  7.  Level analysis structural model of the water vulnerability evaluation of ordovician limestone under 3#、9#、15#coal

      图  8  煤层底板脆弱性指数频数直方图

      Fig.  8.  Frequency histogram of the vulnerability index of the coal seam floor

      图  9  煤层脆弱性指数法评价分区

      a.3#脆弱性指数法评价分区;b.9#脆弱性指数法评价分区;c.15#脆弱性指数法评价分区

      Fig.  9.  Evaluation of the coal using the vulnerability

      图  10  突水系数法评价分区

      a.3#突水系数法评价分区;b.9#突水系数法评价分区;c.15#突水系数法评价分区

      Fig.  10.  Evaluation of the coal using the water inrush coefficient method

      表  1  新标度与传统标度对照

      Table  1.   Comparison table of the new scale and the traditional scale

      传统标度 (k)(k=1~9)改进标度 (10/10~18/2)释义
      110/10同等重要
      312/8稍微重要
      514/6明显重要
      716/4非常重要
      918/2极端重要
      k(9+k)/(11-k)
      下载: 导出CSV

      表  2  10/10~18/2标度对应RI

      Table  2.   The value ofRIin the 10/10-18/2 scale

      m123456789
      RI000.169 00.259 80.328 70.369 40.400 70.416 70.437 0
      下载: 导出CSV

      表  3  奥灰突水脆弱性评价的判断矩阵及权重 (j=1~3)

      Table  3.   Judgment matrix and weight of the water vulnerability evaluation of Ordovician limestone water inrush (j=1-3)

      指标B1B2B3W(A/Bj)
      B110/1012/89/110.350 1
      B28/1210/108/120.249 6
      B311/912/810/100.400 3
      λmax=3.004 5,CI0=0.002 2,CR0=0.013 0.
      下载: 导出CSV

      表  4  B层次判断矩阵及权重 (i=1~8, j=1~3)

      Table  4.   Judgment matrix and weight of level B (i=1-8, j=1-3)

      指标C1C2C3C4C5C6C7C8Bj/Ci相关指标
      C110/1011/9-----------0.55λmax=2,CI1=0,CR1不存在
      C29/1110/10-----------0.45
      C3----10/1015/5--------0.75λmax=2,CI2=0,CR2不存在
      C4----5/1510/10--------0.25
      C5--------10/1010/1016/417/30.43λmax=4.025 6,
      CI3=0.008 5,
      CR3=0.032 8
      C6--------10/1010/1015/516/40.37
      C7--------4/165/1510/1010/100.11
      C8--------3/174/1610/1010/100.10
      下载: 导出CSV

      表  5  奥灰突水脆弱性评价指标权重

      Table  5.   The weight of the index of the vulnerability evaluation of Ordovician limestone water inrush

      目标层准则层W(A/Bj)指标层W(Bj/Ci)W(A/Ci)
      奥灰突水脆弱性评价承压含水层0.350 1奥灰水压0.550 00.192 6
      奥灰富水性0.450 00.157 5
      底板隔水层0.249 6有效隔水层等效厚度0.750 00.187 2
      矿压破坏带下脆性岩厚度0.250 00.062 4
      地质构造0.400 3陷落柱分布0.433 30.173 5
      断层和褶皱轴分布0.369 20.147 8
      断层规模指数0.106 50.042 6
      断层和褶皱轴交点及端点分布0.091 00.036 4
      下载: 导出CSV
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