Two-dimensional approximation for tide-induced watertable fluctuations in a sloping sandy beach |
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| Institution: | 1. Department of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia;2. Research Institute of Coastal and Ocean Engineering, Hohai University, Nanjing 210098, China;3. Contaminated Land Assessment and Remediation Research Centre, Institute for Infrastructure and Environment, School of Engineering and Electronics, The University of Edinburgh, Edinburgh EH9 3JL, UK;4. Department of Mathematics, The University of British Columbia, Vancouver, BC, Canada V6T 1Z2;5. Division of Civil Engineering, University of Dundee, Dundee DD1 4HN, UK;6. School of Engineering, The University of Queensland, Qld 4072, Australia;7. Centre for Eco-Environmental Modelling, Hohai University, Nanjing 210098, China |
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| Abstract: | The prediction of watertable fluctuations in a coastal aquifer is important for coastal management. However, most previous approaches have based on the one-dimensional Boussinesq equation, neglecting variations in the coastline and beach slope. In this paper, a closed-form analytical solution for a two-dimensional unconfined coastal aquifer bounded by a rhythmic coastline is derived. In the new model, the effect of beach slope is also included, a feature that has not been considered in previous two-dimensional approximations. Three small parameters, the shallow water parameter (ε), the amplitude parameter (α) and coastline parameter (β) are used in the perturbation approximation. The numerical results demonstrate the significant influence of both the coastline shape and beach slopes on tide-driven coastal groundwater fluctuations. |
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