DOI: 10.5194/hess-20-1655-2016
Scopus记录号: 2-s2.0-84969804449
论文题名: Technical note: Analytical drawdown solution for steady-state pumping tests in two-dimensional isotropic heterogeneous aquifers
作者: Zech A ; , Attinger S
刊名: Hydrology and Earth System Sciences
ISSN: 10275606
出版年: 2016
卷: 20, 期: 5 起始页码: 1655
结束页码: 1667
语种: 英语
Scopus关键词: Aquifers
; Contrast media
; Hydrogeology
; Parameter estimation
; Aquifer heterogeneity
; Correlation lengths
; Heterogeneous aquifers
; Heterogeneous media
; Homogeneous media
; Statistical parameters
; Transmissivity field
; Upscaling methods
; Pumps
; aquifer
; correlation
; drawdown
; heterogeneity
; hydraulic conductivity
; pumping
; steady-state equilibrium
; transmissivity
; two-dimensional flow
; upscaling
; well water
英文摘要: A new method is presented which allows interpreting steady-state pumping tests in heterogeneous isotropic transmissivity fields. In contrast to mean uniform flow, pumping test drawdowns in heterogeneous media cannot be described by a single effective or equivalent value of hydraulic transmissivity. An effective description of transmissivity is required, being a function of the radial distance to the well and including the parameters of log-transmissivity: mean, variance, and correlation length. Such a model is provided by the upscaling procedure radial coarse graining, which describes the transition of near-well to far-field transmissivity effectively. Based on this approach, an analytical solution for a steady-state pumping test drawdown is deduced. The so-called effective well flow solution is derived for two cases: the ensemble mean of pumping tests and the drawdown within an individual heterogeneous transmissivity field. The analytical form of the solution allows inversely estimating the parameters of aquifer heterogeneity. For comparison with the effective well flow solution, virtual pumping tests are performed and analysed for both cases, the ensemble mean drawdown and pumping tests at individual transmissivity fields. Interpretation of ensemble mean drawdowns showed proof of the upscaling method. The effective well flow solution reproduces the drawdown for two-dimensional pumping tests in heterogeneous media in contrast to Thiem's solution for homogeneous media. Multiple pumping tests conducted at different locations within an individual transmissivity field are analysed, making use of the effective well flow solution to show that all statistical parameters of aquifer heterogeneity can be inferred under field conditions. Thus, the presented method is a promising tool with which to estimate parameters of aquifer heterogeneity, in particular variance and horizontal correlation length of log-transmissivity fields from steady-state pumping test measurements. © 2016 Author(s) 2016. Attribution 3.0 License. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/78857
Appears in Collections: 气候变化事实与影响
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作者单位: Department of Computational Hydrosystems, UFZ Helmholtz Centre for Environmental Research, Leipzig, Germany; Institute for Geosciences, Friedrich Schiller University, Jena, Germany
Recommended Citation:
Zech A,, Attinger S. Technical note: Analytical drawdown solution for steady-state pumping tests in two-dimensional isotropic heterogeneous aquifers[J]. Hydrology and Earth System Sciences,2016-01-01,20(5)