A Mathematical Model Study of Fresh‐Water Lenses

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Abstract
An analysis of the unsteady flow in a fresh‐water lens on a small tropical island is developed using the Ghyben‐Herzberg relationship to determine the lens thickness. An alternative view of the problem to that most commonly given is presented. Results are shown for some lenses on Grand Cayman Island in the Caribbean Sea. The aquifer material is a micro‐karst limestone. The chief result of engineering significance is that the conventional steady‐state analysis is shown to be a sound basis for estimating the long‐term yield if drought sequences are not long.

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