Salt-water up-coning during extraction of fresh water from a tropical island

Journal of Engineering Mathematics - Tập 48 - Trang 69-91 - 2004
Lawrence K. Forbes1, Graeme C. Hocking2, Simon Wotherspoon1
1School of Mathematics and Physics, University of Tasmania, Tasmania, Australia
2Department of Mathematics and Statistics, Murdoch University, Murdoch, Western Australia

Tóm tắt

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.

Tài liệu tham khảo

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