Elsevier

Journal of Hydrology

Volume 103, Issues 1–2, 15 November 1988, Pages 11-36
Journal of Hydrology

Research paper
A two-dimensional finite element model for dispersion (2D-FED) in coastal aquifers

https://doi.org/10.1016/0022-1694(88)90003-0Get rights and content

Abstract

A two-dimensional finite element model is developed to simulate the saltwater intrusion phenomena in confined and leaky coastal aquifers under steady state conditions. The governing equations are combined into two nonlinear coupled partial differential equations in only two variables, namely, the concentration and the equivalent freshwater piezometric head. The Galerkin technique is employed, with the computation scheme based on the relaxation method. Heterogeneity and anisotropy of the aquifer are considered. The dispersion coefficient is taken to be velocity dependent. The model is verified on two prepublished problems. Unlike existing models, this model is also applied to simulate saltwater intrusion in a large aquifer — the Nile Delta aquifer in Egypt. Equiconcentration and equipotential lines are constructed in the Nile Delta aquifer.

References (29)

  • A. Amer et al.

    About sea water intrusion phenomenon in the Nile Delta aquifer

  • A. Amer et al.

    Calibration of a sea water intrusion model for Nile Delta aquifer

  • S.G. Anand et al.

    Some considerations in finite elements solutions to coupled groundwater flow and convective-dispersion equations

  • J. Bear

    Hydraulics of Groundwater

    (1979)
  • M.S. Farid

    Nile Delta groundwater study

  • M.S. Farid

    Management of groundwater system in the Nile Delta

  • E.O. Frind

    Seawater intrusion in continuous coastal aquifer-aquitard system

  • D.B. Grove

    The use of Galerkin finite-element methods to solve mass-transport equations

    U.S. Geol. Surv., Water Resour. Invest.

    (1977)
  • H.R. Henry

    Saltwater intrusion in coastal aquifers

    Int. Assoc. Sci., Hydrol. Publ.

    (1960)
  • H.R. Henry

    Effect of dispersion on salt encroachment in coastal aquifers

    U.S. Geol. Surv., Water Supply Pap.

    (1964)
  • P.S. Huyakorn et al.

    Finite element model for coupled groundwater flow and convective dispersion

  • P.S. Huyakorn et al.

    Saltwater intrusion in aquifers: Development and testing of a three-dimensional finite element model

    Water Resour. Res.

    (1987)
  • T. Kawatani

    Behavior of seawater intrusion in layered coastal aquifers

  • C.H. Lee et al.

    On seawater encroachment in coastal aquifers

    Water Resour. Res.

    (1974)
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