A deep water‐resource and stratigraphic test well near the center of Nantucket Island, about 40 miles (64 km) off the New England Coast, has encountered freshwater at greater depth than predicted by the Ghyben‐Herzberg principle. An uppermost lens of fresh‐water, which occupies relatively permeable glacial‐outwash sand and gravel to a depth of 520 ft. (158 m), is probably in hydrodynamic equilibrium with the present level of the sea and the height of the water table. However, two zones of freshwater between 730‐820 ft. (222‐250 m) and 900‐930 ft. (274‐283 m) are anomalously deep. A third zone extending from 1150‐1500 ft. (350‐457 m) contains slightly salty ground water (2 to 3 parts per thousand dissolved solids). Several explanations are possible, but the most likely is that large areas of the Continental Shelf were exposed to recharge by precipitation during long periods of low sea level in Pleistocene time. After the last retreat of glacial ice, seawater rapidly drowned the shelf around Nantucket Island. Since then, about 8000 years ago, the deep freshwater zones which underlie dense clay layers have not had time to adjust to a new equilibrium. Under similar circumstances freshwater may remain trapped under extensive areas of the Continental Shelf wherever clay confining beds have not permitted saltwater to intrude rapidly to new positions of hydrodynamic equilibrium. The implications are far reaching because all continental shelfs were exposed to similar hydrologic influences during Pleistocene time.

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Salt‐water upconing describes the phenomenon where salt water is transported vertically upward under a well in response to pumpage in a fresh‐water aquifer underlain by salt water. Sharp interface methods have been used successfully to describe the physics of upconing. A finite‐element model is developed to simulate a sharp interface for determination of the steady‐state position of the interface and maximum permissible well discharges. The model developed is compared to previous published electric‐analog model results of Bennett and others (1968). Both methods are applied to a test case at Truro, Massachusetts, where maximum permissible discharges are determined by the finite‐element model to range from 0.47 to 1.05 cubic feet per second for the Test Site No. 4 location.

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