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Semi-analytical solutions of groundwater flow in multi-zone (patchy) wedge-shaped aquifers |
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| Affiliation: | 1. Department of Earth Sciences, Shiraz University, Shiraz 71454, Iran;2. Department of Geology, Payame Noor University, Tehran 19395-3697, Iran;1. Griffith School of Engineering, Gold Coast Campus, Griffith University, Queensland 4222, Australia;2. School of Civil Engineering, The University of Queensland, 4072, Australia;3. Centre d’hydrogéologie, Rue Emile-Argand 11, Case postale 158, 2009 Neuchâtel, Switzerland;1. UTM Centre for Industrial & Applied Mathematics, Ibnu Sina Institute for Scientific & Industrial Research, Malaysia;2. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia;3. National Hydraulics Research Institute Malaysia (NAHRIM), Lot 5377, Jalan Putra Permai, 43300 Seri Kembangan, Malaysia;1. Department of Geology, Payame Noor University, Tehran 19395-3697, Iran;2. Department of Geology and Geophysics, Texas A&M University, College Station, TX 77845, USA;1. Department of Geology, Payame Noor University, Tehran 19395-3697, Iran;2. Department of Geology and Geophysics, Texas A&M University, College Station, TX 77845, USA;1. Department of Civil and Environmental Engineering, Shiraz University, 7134851156 Shiraz, Iran;2. Formerly, Research Assistant, Department of Civil and Environmental Engineering, University of Illinois, Urbana-Champaign, USA |
| Abstract: | Alluvial fans are potential sites of potable groundwater in many parts of the world. Characteristics of alluvial fans sediments are changed radially from high energy coarse-grained deposition near the apex to low energy fine-grained deposition downstream so that patchy wedge-shaped aquifers with radial heterogeneity are formed. The hydraulic parameters of the aquifers (e.g. hydraulic conductivity and specific storage) change in the same fashion. Analytical or semi-analytical solutions of the flow in wedge-shaped aquifers are available for homogeneous cases. In this paper we derive semi-analytical solutions of groundwater flow to a well in multi-zone wedge-shaped aquifers. Solutions are provided for three wedge boundary configurations namely: constant head–constant head wedge, constant head–barrier wedge and barrier–barrier wedge. Derivation involves the use of integral transforms methods. The effect of heterogeneity ratios of zones on the response of the aquifer is examined. The results are presented in form of drawdown and drawdown derivative type curves. Heterogeneity has a significant effect on over all response of the pumped aquifer. Solutions help understanding the behavior of heterogeneous multi-zone aquifers for sustainable development of the groundwater resources in alluvial fans. |
| Keywords: | Radial heterogeneity Bounded aquifers Wedge-shaped aquifers Alluvial fans Laplace transform Finite Fourier transforms |
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