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A New Two-Dimensional Analytical Solution for Groundwater Fluctuations in Coastal Aquifer

Author(s): Jing Chen; Zhifang Zhou

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Keywords: Coastal aquifer; Analytical solution; Fan-shaped area; Groundwater fluctuations; Green' S function method; Estuary environment

Abstract: Coastal zones, especially low-lying deltaic areas near the estuary, accommodated high density populations. As a basic factor in the environment of estuary, tidal effects in the coastal aquifer have recently attracted much attention because tidal dynamic also greatly influences the solute transport in the coastal aquifer. Previous studies on tidal dynamic of coastal aquifers have focused on the inland propagation of oceanic tides in the cross-shore direction, a configuration that is essentially one-dimensional. Two-dimensional analytical solutions for groundwater level fluctuation in recent papers are localized in presenting the effect of both oceanic tides and estuarine tides in quadrantal aquifer. This paper setups a two-dimensional model of groundwater fluctuations in estuarine zone. Using Li Hailong’s complex transform, the two- dimensional flow equation subject to periodic boundary condition is changed into time-independent elliptic problem. Based on Green’s function method, an analytical solution for groundwater fluctuations in fan-shaped aquifer is derived. We describe how groundwater’s response to tidal loading in an estuary and ocean. Result shows its more extensive application than recent studies.

DOI:

Year: 2005

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