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    基于微水试验倾斜承压含水层水文地质参数的推估

    刘颖 邵景力 陈家洵

    刘颖, 邵景力, 陈家洵, 2015. 基于微水试验倾斜承压含水层水文地质参数的推估. 地球科学, 40(5): 925-932. doi: 10.3799/dqkx.2015.077
    引用本文: 刘颖, 邵景力, 陈家洵, 2015. 基于微水试验倾斜承压含水层水文地质参数的推估. 地球科学, 40(5): 925-932. doi: 10.3799/dqkx.2015.077
    Liu Ying, Shao Jingli, Chen Chia-Shyun, 2015. Hydrogeological Parameter Estimations for Slug Test in Sloping Confined Aquifer. Earth Science, 40(5): 925-932. doi: 10.3799/dqkx.2015.077
    Citation: Liu Ying, Shao Jingli, Chen Chia-Shyun, 2015. Hydrogeological Parameter Estimations for Slug Test in Sloping Confined Aquifer. Earth Science, 40(5): 925-932. doi: 10.3799/dqkx.2015.077

    基于微水试验倾斜承压含水层水文地质参数的推估

    doi: 10.3799/dqkx.2015.077
    基金项目: 

    国家重点基础研究发展计划“973”项目 2010CB428804

    北京岩溶水资源勘查评价工程专题类第一项:数值模拟项目 BJYRS-ZT-01-01

    详细信息
      作者简介:

      刘颖(1983-),女,博士,主要从事地下水资源方面研究.E-mail:liuying_xiaoyan@163.com

      通讯作者:

      邵景力,E-mail:jshao@cugb.edu.cn

    • 中图分类号: P641

    Hydrogeological Parameter Estimations for Slug Test in Sloping Confined Aquifer

    • 摘要: 为了准确的推估出倾斜承压含水层的水文地质参数,有必要考虑倾角对于参数推估的影响.通过建立倾斜承压含水层微水试验的数学模型,利用理论和现场试验数据分析方法,得出倾角对导水系数等水文地质参数推估的影响.结果表明:低渗透条件下,倾角越大非振荡水位恢复速度越快;高渗透条件下,倾角越大振荡水位振幅越大.储水系数越大倾角上限越小,倾角影响越明显,而倾角上限对于导水系数的变化不敏感.根据该结论建立了无因次储水系数和倾角界限之间的经验方程,用于预测倾角是否会影响水文地质参数的推估.当实测倾角大于倾角上限时,倾角影响不可以被忽略,忽略倾角会导致导水系数估值偏高,储水系数估值偏低.

       

    • 图  1  倾角为α的倾斜承压含水层中双封塞微水试验概念模型和仪器设备示意

      Fig.  1.  Schematics of a double-packer slug test in a fracture of a dip angle α

      图  2  推导流动方程的控制体示意

      Fig.  2.  The control volume for deriving the flow equation

      图  3  高、低渗透条件下倾角α对测试井内水位变化w(τ)的影响

      Fig.  3.  Influence of α on the test response for low-K and high-K conditions

      图  4  高、低渗透条件下倾角上限α*σ值的减小而增大,当σ保持不变时,α*基本不受ϕ值变化影响

      Fig.  4.  The limiting angle α*increases as σ decreases, while remains relatively insensitive to ϕ for the same σ for low-K and high-K conditions

      图  5  α*σ之间关系的经验公式

      Fig.  5.  The empirical relationship for α* as a function of σ

      图  6  倾角为47°的裂隙含水层微水试验现地数据分析

      Fig.  6.  Analysis of the slug test data in the fracture of a dip angle equal to 47°

      图  7  模型结果对T值变化±30%的敏感性

      Fig.  7.  Sensitive of the model solution to a ±30% change of transmissivity

      表  1  符号说明

      Table  1.   Nomenclature

      符号 定义 量纲
      b 含水层垂向厚度 [L]
      g 重力加速度 [L/T2]
      H(t) 测试井内水位 [L]
      H0 初始水位位移 [L]
      h(x, y, t) 承压含水层水头 [L]
      hw(t) 井边含水层水头的圆周平均值 [L]
      K 渗透系数 [L/T]
      K0(x) 0级第二类修正贝赛尔函数
      K1(x) 1级第二类修正贝赛尔函数
      l 与倾斜含水层平行方向的距离 [L]
      Le 测试井有效井长 [L]
      P(x, y, t) 承压含水层压力水头 [L]
      r 径向距离 [L]
      rc 连接管半径 [L]
      rw 测试井半径 [L]
      S 储水系数 [-]
      s 拉普拉斯转换变量 [-]
      T 导水系数 [L2/T]
      t 试验时间 [T]
      w(τ) =H(t)/H0, 无因次测试井内水位 [-]
      Z(x, y) 承压含水层位置水头 [L]
      α 含水层倾角 [-]
      α* 倾角上限 [-]
      β 振荡的阻尼系数 [T-1]
      β* =βrc2/2T,无因次β [-]
      ηp(τ) =P(r, t)/H0,含水层无因次压力水头 [-]
      ηw(τ) =hw(t)/H0, 无因次hw(t) [-]
      θ =tan-1(y/x') [-]
      λ(θ) (cos2θcos2α+sin2θ)0.5 [-]
      ρ =r/rw,无因次径向距离 [-]
      σ =2rw2S/rc2,无因次储水系数 [-]
      τ =t/(rc2/2T),无因次时间 [-]
      υ =S/T [T/L2]
      ϕ =2T(Le/g)0.5/rc2,无因次导水系数 [-]
      ω 振荡的频率 [T-1]
      ω* =ωrc2/2T,无因次ω [-]
      下载: 导出CSV
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    • 收稿日期:  2014-09-27
    • 刊出日期:  2015-05-15

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