Articles | Volume 20, issue 5
https://doi.org/10.5194/hess-20-1655-2016
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

Related authors

GSTools v1.3: a toolbox for geostatistical modelling in Python
Sebastian Müller, Lennart Schüler, Alraune Zech, and Falk Heße
Geosci. Model Dev., 15, 3161–3182, https://doi.org/10.5194/gmd-15-3161-2022,https://doi.org/10.5194/gmd-15-3161-2022, 2022
Short summary
A field evidence model: how to predict transport in heterogeneous aquifers at low investigation level
Alraune Zech, Peter Dietrich, Sabine Attinger, and Georg Teutsch
Hydrol. Earth Syst. Sci., 25, 1–15, https://doi.org/10.5194/hess-25-1-2021,https://doi.org/10.5194/hess-25-1-2021, 2021
Improved regional-scale groundwater representation by the coupling of the mesoscale Hydrologic Model (mHM v5.7) to the groundwater model OpenGeoSys (OGS)
Miao Jing, Falk Heße, Rohini Kumar, Wenqing Wang, Thomas Fischer, Marc Walther, Matthias Zink, Alraune Zech, Luis Samaniego, Olaf Kolditz, and Sabine Attinger
Geosci. Model Dev., 11, 1989–2007, https://doi.org/10.5194/gmd-11-1989-2018,https://doi.org/10.5194/gmd-11-1989-2018, 2018

Related subject area

Subject: Groundwater hydrology | Techniques and Approaches: Modelling approaches
Technical note: A model of chemical transport in a wellbore–aquifer system
Yiqun Gan and Quanrong Wang
Hydrol. Earth Syst. Sci., 28, 1317–1323, https://doi.org/10.5194/hess-28-1317-2024,https://doi.org/10.5194/hess-28-1317-2024, 2024
Short summary
Disentangling coastal groundwater level dynamics in a global dataset
Annika Nolte, Ezra Haaf, Benedikt Heudorfer, Steffen Bender, and Jens Hartmann
Hydrol. Earth Syst. Sci., 28, 1215–1249, https://doi.org/10.5194/hess-28-1215-2024,https://doi.org/10.5194/hess-28-1215-2024, 2024
Short summary
Current and future roles of meltwater–groundwater dynamics in a proglacial Alpine outwash plain
Tom Müller, Matteo Roncoroni, Davide Mancini, Stuart N. Lane, and Bettina Schaefli
Hydrol. Earth Syst. Sci., 28, 735–759, https://doi.org/10.5194/hess-28-735-2024,https://doi.org/10.5194/hess-28-735-2024, 2024
Short summary
On the challenges of global entity-aware deep learning models for groundwater level prediction
Benedikt Heudorfer, Tanja Liesch, and Stefan Broda
Hydrol. Earth Syst. Sci., 28, 525–543, https://doi.org/10.5194/hess-28-525-2024,https://doi.org/10.5194/hess-28-525-2024, 2024
Short summary
Incorporating interpretation uncertainties from deterministic 3D hydrostratigraphic models in groundwater models
Trine Enemark, Rasmus Bødker Madsen, Torben O. Sonnenborg, Lærke Therese Andersen, Peter B. E. Sandersen, Jacob Kidmose, Ingelise Møller, Thomas Mejer Hansen, Karsten Høgh Jensen, and Anne-Sophie Høyer
Hydrol. Earth Syst. Sci., 28, 505–523, https://doi.org/10.5194/hess-28-505-2024,https://doi.org/10.5194/hess-28-505-2024, 2024
Short summary

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.
Download
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.