Salt-water up-coning during extraction of fresh water from a tropical island |
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| Authors: | Lawrence K Forbes Graeme C Hocking Simon Wotherspoon |
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| Affiliation: | (1) School of Mathematics and Physics, University of Tasmania, G.P.O. Box 252–37, Hobart 7001, Tasmania, Australia;(2) Department of Mathematics and Statistics, Murdoch University, Murdoch, 6150, Western Australia |
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| Abstract: | Rainwater can collect in a lens-shaped region within the rock of a tropical island, and may be separated from the underlying salt water by a sharp interface. This paper presents a nonlinear theory for determining the shape of this interface. The island is assumed to be saturated with rain, and provision is made for the outflow of rain-water through the sides of the island. The effect of a bore well on the shape of the interface is investigated, and the problem is solved using a spectral method. An integral-equation method is also presented for the case when the island has infinite width. |
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| Keywords: | groundwater flow integral equation interface spectral methods up-coning withdrawal flows |
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