首页> 外文期刊>Water resources research >The Extended Thiem's solution: Including the impact of heterogeneity
【24h】

The Extended Thiem's solution: Including the impact of heterogeneity

机译:Extended Thiem的解决方案:包括异构性的影响

获取原文
获取原文并翻译 | 示例
           

摘要

[1] In this study we present a formula for the hydraulic head describing the mean drawdown of a three dimensional steady state pumping test in heterogeneous anisotropic porous media effectively. By modeling the hydraulic conductivity K(x) as spatial random function and using the upscaling method Coarse Graining we succeed in deriving a closed form solution h~(efw) (r) which we understand as an extension of Thiem's formula to heterogeneous media. The solution h~(efw) (r) does not only depend on the radial distance r but accounts also for the statistics of K(x), namely geometric mean K_G, variance σ~2, horizontal correlation length t and anisotropy ratio e. We perform a sensitivity analysis on the parameters of h~(efw) (r) and implement an inverse estimation strategy. Using numerical pumping tests we show the applicability of h~(efw) (r) on the interpretation of drawdown data. This will be done for both, an ensemble of as well as for single pumping tests. Making use of the inverse estimation method we find excellent agreement of estimated parameters with initial values, in particular for the horizontal correlation length.
机译:[1]在这项研究中,我们为水力压头提供了一个公式,该公式有效地描述了非均质各向异性多孔介质中三维稳态抽水试验的平均压降。通过将水力传导率K(x)建模为空间随机函数并使用粗化粗化方法,我们成功导出了闭合形​​式的解h〜(efw)(r),我们将其理解为Thiem公式对异质介质的扩展。解h〜(efw)(r)不仅取决于径向距离r,而且还考虑了K(x)的统计量,即几何平均值K_G,方差σ〜2,水平相关长度t和各向异性比e。我们对h〜(efw)(r)的参数进行敏感性分析,并实施逆估计策略。使用数值抽水测试,我们证明了h〜(efw)(r)在解释沉降数据上的适用性。无论是整体测试还是单次泵送测试,都将执行此操作。利用逆估计方法,我们发现估计参数与初始值(尤其是水平相关长度)具有极好的一致性。

著录项

  • 来源
    《Water resources research》 |2012年第10期|W10535.1-W10535.13|共13页
  • 作者单位

    Department of Computational Hydrosystems, UFZ Helmholtz Centre for Environmental Research, Permoserstr, 15, DE-04318 Leipzig, Germany;

    Department of Computational Hydrosystems, UFZ Helmholtz Centre for Environmental Research, Leipzig, Germany;

    Department of Computational Hydrosystems, UFZ Helmholtz Centre for Environmental Research, Leipzig, Germany,Institute for Geosciences, University of Jena, Jena, Germany;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号