Salt-water up-coning during extraction of fresh water from a tropical island
Forbes, L.K., Hocking, G.C. and Wotherspoon, S. (2004) Salt-water up-coning during extraction of fresh water from a tropical island. Journal of Engineering Mathematics, 48 (1). pp. 69-91.
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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.
|Publication Type:||Journal Article|
|Murdoch Affiliation:||School of Chemical and Mathematical Science|
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