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Perfection of the Simulation of Freshwater / Saltwater Interface Motion

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Recent Advances in Problems of Flow and Transport in Porous Media

Part of the book series: Theory and Applications of Transport in Porous Media ((TATP,volume 11))

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Abstract

We recall briefly the mathematical model that describes the abrupt freshwater/saltwater interface motion in a coastal aquifer. Then we give its coupled Galerkin formulation and the numerical methods solving both the steady and unsteady state problems. An algorithm decoupling the resolution in the unsteady state case is proposed and an efficient physical generation of boundary conditions at the coast is detailed. Several tests and comparisons of solutions show good results.

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References

  • Bear, J. (1972) Dynamics of Fluid in Porous Media, American Elsevier, New-York. Bear, J. (1979) Hydraulics of Groundwater, Mc-Graw-Hill, New-York.

    Google Scholar 

  • Bear, J. and Dagan, G. (1964) Some Exact Solutions of Interface Problems by Means of The Hodographic Method, J. Geophys. Res. 64, 1563–1572.

    Google Scholar 

  • Glover, R.E. (1959) The Patern of Fresh water Flow in A Coastal Aquifer, Ground Water Resour. 64, 439–475.

    Google Scholar 

  • Loulâli, Y. (1994) Résolution et Simulation par Eléments Finis et Eléments-Volumes Finis de l’Intrusion Saline en Aquifère Côtier, Mémoire du Certificat d’Etudes Approfondies, Labo. S. I. A.N.O., Faculté des Sciences, Kénitra, Maroc.

    Google Scholar 

  • Polo, J.F. and Ramis, F.J.R. (1983) Simulation of Salt water — Fresh water Interface Motion,Water Resour. Research, 19, N°1, 61–68.

    Google Scholar 

  • Rummer, R.R. and Harlemann, D.R.F. (1963) Intruded Salt water Wedge in Porous Media,Proc. Amer. Soc. Civil. Eng. Hydrol. Div., 89, N°6, 193–220.

    Google Scholar 

  • Strack, O.D.L. (1976) A Single-Potential Solution for Regional Interface Problems in Coastal Aquifers,Water Resour. Research, 12, N°6, 1165–1174.

    Google Scholar 

  • Vappicha, V.N. and Nagaraja, S.H. (1976) An Approximate Solution for Transient Interface in A Coastal Aquifer, J. of Hydrol., 31, 161–173.

    Google Scholar 

  • Verruijt, A. (1968) A Note on The Ghiben Herzberg Formula,LASH Bull., 43–45.

    Google Scholar 

  • Wilson, J.L. and Costa, A. SA DA (1982) Finite Element Simulation of A Saltwater/Freshwater Interface With Indirect Toe Traching,Water Resour. Research, 18, N°4, 1069–1080.

    Google Scholar 

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© 1998 Springer Science+Business Media Dordrecht

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Esselaoui, D., Loukili, Y., Bourgeat, A. (1998). Perfection of the Simulation of Freshwater / Saltwater Interface Motion. In: Crolet, J.M., El. Hatri, M. (eds) Recent Advances in Problems of Flow and Transport in Porous Media. Theory and Applications of Transport in Porous Media, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2856-0_10

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  • DOI: https://doi.org/10.1007/978-94-017-2856-0_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4989-6

  • Online ISBN: 978-94-017-2856-0

  • eBook Packages: Springer Book Archive

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