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Salt-water up-coning during extraction of fresh water from a tropical island
journal contribution
posted on 2023-05-16, 14:19 authored by Lawrence ForbesLawrence Forbes, Hocking, GC, Wotherspoon, SJRainwater 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.
History
Publication title
Journal of Engineering MathematicsVolume
48Pagination
69-91ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Acadaemic PublishersPlace of publication
HollandRepository Status
- Restricted