Journal article
Salt-water up-coning during extraction of fresh water from a tropical island
Journal of Engineering Mathematics, Vol.48(1), pp.69-91
2004
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.
Details
- Title
- Salt-water up-coning during extraction of fresh water from a tropical island
- Authors/Creators
- L.K. Forbes (Author/Creator)G.C. Hocking (Author/Creator)S. Wotherspoon (Author/Creator)
- Publication Details
- Journal of Engineering Mathematics, Vol.48(1), pp.69-91
- Publisher
- Springer
- Identifiers
- 991005542356707891
- Murdoch Affiliation
- School of Chemical and Mathematical Science
- Language
- English
- Resource Type
- Journal article
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InCites Highlights
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- Collaboration types
- Domestic collaboration
- Citation topics
- 8 Earth Sciences
- 8.205 Ocean Dynamics
- 8.205.2114 Hydraulic Flows
- Web Of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications
- ESI research areas
- Engineering