Closed-form analytical solutions incorporating pumping and tidal effects in various coastal aquifer systems |
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| Institution: | 1. Department of Civil Engineering, Sharif University of Technology, PO Box 11155-9313, Tehran, Iran;2. National Centre for Groundwater Research and Training and School of the Environment, Flinders University, GPO Box 2100, Adelaide, SA 5001, Australia;1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing, China;2. Yangtze Institute for Conservation and Development, Hohai University, Nanjing, China;3. Key Laboratory of Surficial Geochemistry, Ministry of Education, Department of Hydrosciences, School of Earth Sciences and Engineering, Nanjing University, Nanjing, China |
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| Abstract: | Pumping wells are common in coastal aquifers affected by tides. Here we present analytical solutions of groundwater table or head variations during a constant rate pumping from a single, fully-penetrating well in coastal aquifer systems comprising an unconfined aquifer, a confined aquifer and semi-permeable layer between them. The unconfined aquifer terminates at the coastline (or river bank) and the other two layers extend under tidal water (sea or tidal river) for a certain distance L. Analytical solutions are derived for 11 reasonable combinations of different situations of the L-value (zero, finite, and infinite), of the middle layer’s permeability (semi-permeable and impermeable), of the boundary condition at the aquifer’s submarine terminal (Dirichlet describing direct connection with seawater and no-flow describing the existence of an impermeable capping), and of the tidal water body (sea and tidal river). Solutions are discussed with application examples in fitting field observations and parameter estimations. |
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| Keywords: | Coastal aquifer Tidal effect Pumping well Groundwater level fluctuations Well function Image methods |
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