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Mathematical model studies of tidal behaviour in the Bay of Fundy

Norman Stuart Heaps, David A. Greenberg

Open publisher page 30 citations

Abstract

Two mathematical models of M2tidal behaviour in the Bay of Fundy are described. The first is a detailed numerical one of the Bay and the Gulf of Maine, with realistic depths, extending out to the edge of the continental shelf. Good reproduction of the existing tidal regime is achieved. Use of the model to estimate the effects of permeable and impermeable barriers, located in the upper reaches of the Bay, is discussed. The second tidal model, based on analytical solutions, employs a simple representation of the Bay consisting of a system of frictionless channels. In this, the tidal perturbations introduced by a barrier placed across the entrance to Minas Basin are determined and the effect of different open-sea radiation conditions on the results investigated. The numerical and analytical studies are complementary, jointly aimed at assessing and understanding the influence on the tides of possible hydro-electric installations in the head waters of the Bay.

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What this paper is about

Two mathematical models of M2tidal behaviour in the Bay of Fundy are described. The first is a detailed numerical one of the Bay and the Gulf of Maine, with realistic depths, extending out to the edge of the continental shelf. Good reproduction of the existing tidal regime is achieved. Use of the model to estimate the effects of permeable and impermeable barriers, located in the upper reaches of the Bay, is discussed. The second tidal model, based on analytical solutions, employs a simple representation of the Bay consisting of a system of frictionless channels. In this, the tidal perturbations introduced by a barrier placed across the entrance to Minas Basin are determined and the effect of different open-sea radiation conditions on the results investigated. The numerical and analytical studies are complementary, jointly aimed at assessing and understanding the influence on the tides of possible hydro-electric installations in the head waters of the Bay.

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Available abstract

Two mathematical models of M2tidal behaviour in the Bay of Fundy are described. The first is a detailed numerical one of the Bay and the Gulf of Maine, with realistic depths, extending out to the edge of the continental shelf. Good reproduction of the existing tidal regime is achieved. Use of the model to estimate the effects of permeable and impermeable barriers, located in the upper reaches of the Bay, is discussed. The second tidal model, based on analytical solutions, employs a simple representation of the Bay consisting of a system of frictionless channels. In this, the tidal perturbations introduced by a barrier placed across the entrance to Minas Basin are determined and the effect of different open-sea radiation conditions on the results investigated. The numerical and analytical studies are complementary, jointly aimed at assessing and understanding the influence on the tides of possible hydro-electric installations in the head waters of the Bay.

Key concepts: Bay, Oceanography, Tidal Model, Tidal current, Geology, Continental shelf, Structural basin, Marine engineering

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