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.
Bear, J. and Dagan, G. (1964) Some Exact Solutions of Interface Problems by Means of The Hodographic Method, J. Geophys. Res. 64, 1563–1572.
Glover, R.E. (1959) The Patern of Fresh water Flow in A Coastal Aquifer, Ground Water Resour. 64, 439–475.
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.
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.
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.
Strack, O.D.L. (1976) A Single-Potential Solution for Regional Interface Problems in Coastal Aquifers,Water Resour. Research, 12, N°6, 1165–1174.
Vappicha, V.N. and Nagaraja, S.H. (1976) An Approximate Solution for Transient Interface in A Coastal Aquifer, J. of Hydrol., 31, 161–173.
Verruijt, A. (1968) A Note on The Ghiben Herzberg Formula,LASH Bull., 43–45.
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.
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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
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