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  • Steepness expansion for free surface flows in coastal aquifers

    Author(s)
    Jeng, DS
    Seymour, BR
    Barry, DA
    Parlange, JY
    Lockington, DA
    Li, L
    Griffith University Author(s)
    Jeng, Dong-Sheng
    Year published
    2005
    Metadata
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    Abstract
    Free surface flow of groundwater in aquifers has been studied since the early 1960s. Previous investigations have been based on the Boussinesq equation, derived from the non-linear kinematic boundary condition. In fact, the Boussinesq equation is the zeroth-order equation in the shallow-water expansion. A key assumption in this expansion is that the mean thickness of the aquifer is small compared with a reference length, normally taken to be the linear decay length. In this study, we re-examine the expansion scheme for free surface groundwater flows, and propose a new expansion wherein the shallow-water assumption is replaced ...
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    Free surface flow of groundwater in aquifers has been studied since the early 1960s. Previous investigations have been based on the Boussinesq equation, derived from the non-linear kinematic boundary condition. In fact, the Boussinesq equation is the zeroth-order equation in the shallow-water expansion. A key assumption in this expansion is that the mean thickness of the aquifer is small compared with a reference length, normally taken to be the linear decay length. In this study, we re-examine the expansion scheme for free surface groundwater flows, and propose a new expansion wherein the shallow-water assumption is replaced by a steepness assumption. A comparison with experimental data shows that the new model provides a better prediction of water table levels than the conventional shallow-water expansion. The applicable ranges of the two expansions are exhibited.
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    Journal Title
    Journal of Hydrology
    Volume
    309
    DOI
    https://doi.org/10.1016/j.jhydrol.2004.11.013
    Subject
    Civil geotechnical engineering
    Publication URI
    http://hdl.handle.net/10072/62965
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    • Journal articles

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