1977
DOI: 10.1111/j.1745-6584.1977.tb03166.x
|View full text |Cite
|
Sign up to set email alerts
|

A Mathematical Model Study of Fresh‐Water Lenses

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 lon… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
7
0
1

Year Published

1980
1980
2022
2022

Publication Types

Select...
5
3
1

Relationship

0
9

Authors

Journals

citations
Cited by 22 publications
(8 citation statements)
references
References 2 publications
0
7
0
1
Order By: Relevance
“…With the rising sea level, all the fissures would at some time be present on the edge of a freshwater lens where the rate of solution is relatively great. This solution rate is caused by enhanced water velocity (Chidley & Lloyd, 1977) and undersaturation of aragonite and calcite in the mixing zone of fresh and saline waters resulting from bacterially derived H 2 SO 4 that lowers the pH (Smart, Dawans & Whitaker, 1988).…”
Section: Formation Of the Tytherington Fissuresmentioning
confidence: 99%
“…With the rising sea level, all the fissures would at some time be present on the edge of a freshwater lens where the rate of solution is relatively great. This solution rate is caused by enhanced water velocity (Chidley & Lloyd, 1977) and undersaturation of aragonite and calcite in the mixing zone of fresh and saline waters resulting from bacterially derived H 2 SO 4 that lowers the pH (Smart, Dawans & Whitaker, 1988).…”
Section: Formation Of the Tytherington Fissuresmentioning
confidence: 99%
“…Few modeling investigations, however, have dealt realistically with atoll and small oceanic island groundwater systems, which commonly are comprised of a thin freshwater lens overlying a much thicker zone of mixed water. Instead, most numerical modeling studies of insular systems [Fetter, 1972;Lam, 1974;Anderson, 1976;Chidley and Lloyd, 1977;Falkland, 1983;Ayers and Vacher, 1983; Herman and Wheatcraft, 1984] assume a sharp freshwatersaltwater interface and/or do not take into account densitydependent flow. Pertinent features of previous modeling studies of atolls and small islands are summarized in Table 1. Of these, only the investigations by Hogan, 1988;Oberdorfer et al, 1990;Griggs, 1989;Griggs and Peterson, 1989 consider density-dependent flow, which Griggs [1989] and Griggs and Peterson [1989] have conclusively demonstrated must be considered when studying many aspects of the flow dynamics of atolls and small islands.…”
Section: In Addition They Allow Simulation Of Transient Solutions Fmentioning
confidence: 99%
“…The above equation uses constant transmissivities, however, using the Ghyben-Herzberg approximation the transmissivities vary with the height of the water table so that the method adopted by Chidley and Lloyd (1977) for lens simulation was used in that…”
Section: Ground Water Modeling Approachmentioning
confidence: 99%