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Accurate interpretation of pumping test data in stratified aquifers requires approaches that account for vertical heterogeneity, a factor often neglected in conventional analytical solutions. This study presents a Pythodriven axisymmetric numerical modelling framework, built using MODFLOW 6 and FloPy, to simulate both pumping and recovery phases in vertically heterogeneous confined aquifers. The model discretises the domain radially and vertically to allow layer-specific representation of hydraulic conductivity, while specific storage is assigned uniformly. An optimisation-based inverse modelling approach was used to estimate aquifer parameters by minimising the difference between observed and simulated drawdowns. Applied to a case study in Bahariya, Egypt, the results yielded hydraulic conductivity values consistent with the site’s stratigraphy - ranging from approximately 10-5 m∙d-1 in shale to over 27 m∙d-1 in limestone - and a specific storage of 4∙10-8 m-1. The simulated radius of influence was 133.67 m, and the root mean square error between the observed and simulated drawdown was 0.01 m. Sensitivity analysis demonstrated that vertical discretisation had the greatest influence on model accuracy, with coarser grids increasing residual error by nearly 90% and reducing the radius of influence by 9%. The temporal resolution had minimal impact on accuracy but significantly affected computation time. This framework offers an open-source, automated, and script-based tool for simulating pumping tests in layered aquifer systems, enabling more reliable estimation of hydraulic parameters for both scientific and applied groundwater studies.
Wydawca
Czasopismo
Rocznik
Tom
Strony
238--246
Opis fizyczny
Bibliogr. 21 poz., rys., tab., wykr.
Twórcy
autor
- Ain-Shams University, Faculty of Engineering, Irrigation and Hydraulics Department, P.O. Box 11566, El-Abbasia, Cairo, Egypt
autor
- Ain-Shams University, Faculty of Engineering, Irrigation and Hydraulics Department, P.O. Box 11566, El-Abbasia, Cairo, Egypt
autor
- Ain-Shams University, Faculty of Engineering, Irrigation and Hydraulics Department, P.O. Box 11566, El-Abbasia, Cairo, Egypt
Bibliografia
- Bakker, M. et al. (2016) “Scripting MODFLOW model development using Python and FloPy,” Groundwater, 54(5), pp. 733–739. Available at: https://doi.org/10.1111/gwat.12413.
- Bedekar, V., Scantlebury, L. and Panday, S. (2019) “Axisymmetric modeling using MODFLOW-USG,” Groundwater, 57(5), pp. 772–777. Available at: https://doi.org/10.1111/gwat.12861.
- Boulton, N.S. (1963) “Analyse of data from non-equilibrium pumping tests allowing for delayed yield from storage,” Proceedings of the Institution of Civil Engineers, 26(3), 6693, pp. 469–482. Available at: https://doi.org/10.1680/iicep.1963.10409.
- Chen, C. and Jiao, J.J. (1999) “Numerical simulation of pumping tests in multilayer wells with non-Darcian flow in the wellbore,” Groundwater, 37, pp. 465–474. Available at: https://doi.org/10.1111/j.1745-6584.1999.tb01126.x.
- Cooper, H.H. and Jacob, C.E. (1946) “A generalized graphical method for evaluating formation constants and summarizing well-field history,” Eos, Transactions American Geophysical Union, 27(4), pp. 526–534. Available at: https://doi.org/10.1029/TR027i004 p00526.
- Driscoll, F.G. (1986) Groundwater and wells. 2nd edn. St. Paul: Johnson Screens. Freeze, R.A. and Cherry, J.A. (1979) Groundwater. Englewood Cliffs: Prentice-Hall.
- Gunawardhana, L.N. et al. (2021) “Analytical and numerical analysis of constant-rate pumping test data considering aquifer boundary effect,” Environmental Earth Sciences, 80(17), 543. Available at: https://doi.org/10.1007/s12665-021-09833-x.
- Hamdan, A.M. and Sawires, R.F. (2013) “Hydrogeological studies on the Nubian sandstone aquifer in El-Bahariya Oasis, Western Desert, Egypt,” Arabian Journal of Geosciences, 6(5), pp. 1333– 1347. Available at: https://doi.org/10.1007/s12517-011-0439-8.
- Hantush, M.S. and Jacob, C.E. (1955) “Non-steady radial flow in an infinite leaky aquifer,” Transactions, American Geophysical Union, 36(1), pp. 95–100. Available at: https://doi.org/10.1029/TR036i001p00095.
- Harbaugh, A.W. (2005) MODFLOW-2005, the U.S. Geological Survey modular ground-water model – The ground-water flow process. Techniques and Methods 6–A16. Reston: U.S. Geological Survey. Available at: https://doi.org/10.3133/tm6A16.
- Harbaugh, A.W. et al. (2000) MODFLOW-2000, the U.S. Geological Survey modular ground-water model: User guide to modularization concepts and the ground-water flow process. Open-File Report 00–92. Reston: U.S. Geological Survey. Available at: https://doi.org/10.3133/ofr200092.
- Hughes, J.D. et al. (2024) “FloPy workflows for creating structured and unstructured MODFLOW models,” Groundwater, 60(1), pp. 124–139. Available at: https://doi.org/10.1111/gwat.13327.
- Langevin, C.D. (2008) “Modeling axisymmetric flow and transport,” Groundwater, 46(4), pp. 579–590. Available at: https://doi.org/10.1111/j.1745-6584.2008.00445.x.
- Langevin, C.D. et al. (2017) MODFLOW 6 modular hydrologic model: U.S. Geological Survey Software. [Computer software]. Available at: https://doi.org/10.5066/F76Q1VQV.
- Neuman, S.P. (1972) “Theory of flow in unconfined aquifers considering delayed response of the water table,” Water Resources Research, 8(4), pp. 1031–1045. Available at: https://doi.org/10.1029/WR008i004p01031.
- Neuman, S.P. (1975) “Analysis of pumping test data from anisotropic unconfined aquifers considering delayed gravity response,” Water Resources Research, 11(2), pp. 329–342. Available at: https://doi.org/10.1029/WR011i002p00329.
- Saqr, A.M. et al. (2023) “Optimal solution for increasing groundwater pumping by integrating MODFLOW-USG and particle swarm optimization algorithm: A case study of Wadi El-Natrun, Egypt,” in X. Chen (ed.) Proceedings of the 2022 12th International Conference on Environment Science and Engineering (ICESE 2022). Beijing, China, 2–5 Sep 2022. Singapore: Springer. Available at: https://doi.org/10.1007/978-981-99-1381-7_6.
- Saqr, A.M. et al. (2025) “Integrating MODFLOW-USG and Walrus optimizer for estimating sustainable groundwater pumping in arid regions subjected to severe drawdown,” in S. Ali and A. Negm (eds.) Groundwater in Developing Countries. Case Studies from MENA, Asia and West Africa. Springer Water, pp. 127–143. Cham: Springer. Available at: https://doi.org/10.1007/978-3-031-79122-2_5.
- Theis, C.V. (1935) “The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage” Eos, Transactions American Geophysical Union, 16(2), pp. 519–524. Available at: https://doi.org/10.1029/TR016i002p00519.
- Wu, Y.X. et al. (2017) “Semi-analytical solution to pumping test data with barrier, wellbore storage, and partial penetration effects,” Engineering Geology, 226, pp. 44–51. Available at: https://doi.org/10.1016/j.enggeo.2017.05.011.
- Zhu, Q. et al. (2020) “Optimization strategies for in situ groundwater remediation by a vertical circulation well based on particle-tracking and node-dependent finite difference methods,” Water Resources Research, 56(11). Available at: https://doi.org/10.1029/2020WR027396.
Typ dokumentu
Bibliografia
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