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    运用水文时间序列分析识别济南泉域岩溶发育特征

    李严 王家乐 靳孟贵 马河宽 柳浩然 彭涛

    李严, 王家乐, 靳孟贵, 马河宽, 柳浩然, 彭涛, 2021. 运用水文时间序列分析识别济南泉域岩溶发育特征. 地球科学, 46(7): 2583-2593. doi: 10.3799/dqkx.2020.236
    引用本文: 李严, 王家乐, 靳孟贵, 马河宽, 柳浩然, 彭涛, 2021. 运用水文时间序列分析识别济南泉域岩溶发育特征. 地球科学, 46(7): 2583-2593. doi: 10.3799/dqkx.2020.236
    Li Yan, Wang Jiale, Jin Menggui, Ma Hekuan, Liu Haoran, Peng Tao, 2021. Hydrodynamic Characteristics of Jinan Karst Spring System Identified by Hydrologic Time-Series Data. Earth Science, 46(7): 2583-2593. doi: 10.3799/dqkx.2020.236
    Citation: Li Yan, Wang Jiale, Jin Menggui, Ma Hekuan, Liu Haoran, Peng Tao, 2021. Hydrodynamic Characteristics of Jinan Karst Spring System Identified by Hydrologic Time-Series Data. Earth Science, 46(7): 2583-2593. doi: 10.3799/dqkx.2020.236

    运用水文时间序列分析识别济南泉域岩溶发育特征

    doi: 10.3799/dqkx.2020.236
    基金项目: 

    国家自然科学基金项目 41807219

    国家自然科学基金项目 41877192

    国家重点研发计划项目 2017YFC0404504

    中央级公益性科研院所基本科研业务费项目 CKSF2019170/TB

    中央级公益性科研院所基本科研业务费项目 CKSF2019410/TB

    详细信息
      作者简介:

      李严(1996-), 男, 硕士研究生, 主要从事水环境方面研究工作.ORCID: 0000-0003-0286-4067.E-mail: cugliyan1996@163.com

      通讯作者:

      王家乐, ORCID: 0000-0002-0691-0027.E-mail: wangjiale@mail.crsri.cn

    • 中图分类号: P641.134

    Hydrodynamic Characteristics of Jinan Karst Spring System Identified by Hydrologic Time-Series Data

    • 摘要: 岩溶含水层具有高度的非均质性和各向异性,为定量识别济南泉域岩溶含水层发育状况,通过选取泉域岩溶水补给区和排泄区的地下水位动态数据,采用相关分析和频谱分析,研究其对降雨补给的响应特征.地下水位-降雨量的自相关和互相关分析表明,系统对降雨输入信号的敏感程度自补给区至排泄区逐渐降低,但记忆作用逐渐增强.相位分析结果表明泉域地下水位对降雨信号的响应存在滞后现象,自补给区至排泄区滞后时间逐渐延长,补给区地下水位与降雨具有更好的线性相关性.交叉振幅分析结果表明补给区地下水流中快速流约占20%~30%,而在排泄区快速流占比减少至2.5%~10.0%.岩溶含水系统地下水动力条件主要受岩溶发育程度等介质内部结构影响,济南泉域岩溶含水层岩溶发育程度较低,含水介质和水流通道以岩溶裂隙为主,地下水运动以基质流为主.

       

    • 图  1  研究区地质背景及地下水监测点分布

      Fig.  1.  Geological background and sampling point distribution in the study area

      图  2  研究区水文地质剖面示意图

      Fig.  2.  The hydrogeological profile of the study area

      图  3  济南泉域降雨、地下水位动态曲线(2006~2011年)

      Fig.  3.  Precipitation and groundwater hydrographs in Jinan (the year of 2006-2011)

      图  4  降雨、地下水位时间序列自相关图

      Fig.  4.  Auto-correlation function of precipitation and the groundwater level time series

      图  5  降雨、水位时间序列互相关图

      Fig.  5.  Cross-correlation function of precipitation and the water level time series in different areas

      图  6  降雨、地下水位的自谱密度图谱

      Fig.  6.  Spectral density functions of precipitation and the water level time series in different areas

      图  7  地下水位对降雨的交叉振幅图谱

      Fig.  7.  Cross-amplitude functions of precipitation and the water level time series in different areas

      图  8  地下水位动态对降雨变化的相位图谱

      Fig.  8.  Phase functions of precipitation and groundwater level time series in different area

      图  9  地下水位动态对降雨变化的相干图谱

      Fig.  9.  Coherency functions of precipitation and the water level time series in different areas

      表  1  济南泉域地下水位及降雨时间序列的ADF检验结果

      Table  1.   ADF test results of groundwater level and precipitation timeseries

      变量 t统计量 临界值 检验结果
      1% level 5% level 10% level
      A282 -3.036 67 -3.449 45 -2.869 85 -2.571 27 平稳*
      A2-30 -3.233 77 -3.449 45 -2.869 85 -2.571 27 平稳*
      趵突泉 -3.096 72 -3.449 45 -2.869 85 -2.571 27 平稳*
      黑虎泉 -3.242 34 -3.449 45 -2.869 85 -2.571 27 平稳*
      降雨 -5.844 68 -3.449 45 -2.869 85 -2.571 27 平稳**
      注:*为5%显著水平;**为1%显著水平.
      下载: 导出CSV

      表  2  地下水位时间序列自相关函数模型及其参数值

      Table  2.   Auto-correlation function model and its parameter value of groundwater level timeseries

      点位 模型 块金常数C0 拱高C 基台值C0+C 自相关长度(d) R2 RSS
      趵突泉 球状 1 -1.000 0 208 0.994 0.13
      黑虎泉 球状 1 -1.005 -0.005 199 0.996 0.10
      A282 指数 1 -1.228 -0.228 190 0.955 0.25
      A2-30 指数 1 -1.330 -0.330 183 0.931 0.42
      下载: 导出CSV
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