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  • A new analytical solution for water table fluctuations in coastal aquifers with sloping beaches

    Author(s)
    Teo, HT
    Jeng, DS
    Seymour, BR
    Barry, DA
    Li, L
    Griffith University Author(s)
    Jeng, Dong-Sheng
    Teo, Liza
    Year published
    2003
    Metadata
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    Abstract
    The Boussinesq equation appears as the zeroth-order term in the shallow water flow expansion of the non-linear equation describing the flow of fluid in an unconfined aquifer. One-dimensional models based on the Boussinesq equation have been used to analyse tide-induced water table fluctuations in coastal aquifers. Previous analytical solutions for a sloping beach are based on the perturbation parameter, N=acotߠ(in which ߠis the beach slope, a is the amplitude parameter and is the shallow water parameter) and are limited to tan-1(a)߰/2. In this paper, a new higher-order solution to the non-linear boundary value problem is ...
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    The Boussinesq equation appears as the zeroth-order term in the shallow water flow expansion of the non-linear equation describing the flow of fluid in an unconfined aquifer. One-dimensional models based on the Boussinesq equation have been used to analyse tide-induced water table fluctuations in coastal aquifers. Previous analytical solutions for a sloping beach are based on the perturbation parameter, N=acotߠ(in which ߠis the beach slope, a is the amplitude parameter and is the shallow water parameter) and are limited to tan-1(a)߰/2. In this paper, a new higher-order solution to the non-linear boundary value problem is derived. The results demonstrate the significant influence of the higher-order components and beach slope on the water table fluctuations. The relative difference between the linear solution and the present solution increases as and a increase, and reaches 7% of the linear solution.
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    Journal Title
    Advances in Water Resources
    Volume
    26
    DOI
    https://doi.org/10.1016/j.advwatres.2003.08.004
    Subject
    History and Archaeology
    Applied Mathematics
    Civil Engineering
    Environmental Engineering
    Publication URI
    http://hdl.handle.net/10072/5938
    Collection
    • Journal articles

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