Articles | Volume 20, issue 5
Hydrol. Earth Syst. Sci., 20, 1655–1667, 2016
https://doi.org/10.5194/hess-20-1655-2016
Hydrol. Earth Syst. Sci., 20, 1655–1667, 2016
https://doi.org/10.5194/hess-20-1655-2016

Technical note 03 May 2016

Technical note | 03 May 2016

Technical note: Analytical drawdown solution for steady-state pumping tests in two-dimensional isotropic heterogeneous aquifers

Alraune Zech and Sabine Attinger

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Cited articles

Attinger, S.: Generalized coarse graining procedures for flow in porous media, Comput. Geosci., 7, 253–273, 2003.
Copty, N. K. and Findikakis, A. N.: Stochastic analysis of pumping test drawdown data in heterogeneous geologic formations, J. Hydraul. Res., 42, 59–67, 2004.
Dagan, G.: Flow and Transport on Porous Formations, Springer, New York, 1989.
Dagan, G. and Lessoff, S. C.: Transmissivity upscaling in numerical aquifer models of steady well flow: Unconditional statistics, Water Resour. Res., 43, W05431, https://doi.org/10.1029/2006WR005235, 2007.
Desbarats, A.: Spatial averaging of transmissivity in heterogeneous fields with flow toward a well, Water Resour. Res., 28, 757–767, 1992.
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Short summary
A new method is presented which allows interpreting pumping test in heterogeneous transmissivity fields. Based on radially dependent transmissivity, the effective well flow solution is derived for two cases: the ensemble mean of pumping tests and the drawdown at an individual heterogeneous transmissivity field. The analytical form of the solution allows inversely estimating the parameters of aquifer heterogeneity (mean, variance, and correlation length) from steady-state pumping test data.