Abstract
Saltwater intrusion in a long and thin leaky aquifer has been modelled using linear boundary elements. Special features which had to be dealt with in the computational model include quasi-singularities, transition from semipervious layer to outflow face and two unknown fluxes at the interface tip.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Van der Leeden, F., Groundwater, A Selected Bibliography, Water Information Center Inc., Port Washington, New York, 1974.
Reilly, T.E. and Goodman, A.S., Quantitative analysis of saltwater-freshwater relationships in groundwater systems — A historical perspective, Journal of Hydrology, Vol. 80, pp 125–160, 1985.
Awater, R., The transient behaviour of a fresh/salt water interface, New Developments in Boundary Element Methods, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin, 1980.
Liu, P.L-F., Cheng, A.H-D., Liggett, J.A. and Lee, J.H., Boundary integral equation solutions to moving interface between two fluids in porous media, Water Resources Research, Vol. 17, pp. 1445–1452, 1981.
Kemblowski, M., Saltwater upconing under a river — a boundary element solution, BEM VI, Computational Mechanics Publications, Southampton and Springer-Verlag, Berlin, 1984.
Kemblowski, M., Saltwater-freshwater transient upconing — an implicit boundary element solution, Journal of Hydrology, Vol. 78, pp. 35–47, 1985.
Taigbenu, A.E., Liggett, J.A. and Cheng, A.H-D., Boundary integral solution to seawater intrusion into coastal aquifers, Water Resources Research, Vol. 20, pp. 1150–1158, 1984.
Cabral, J.J.S.P. and Wrobel, L.C., A numerical analysis of saltwater intrusion in coastal aquifers, Brazilian Engineering Journal, Water Resources Division, Vol. 3, pp. 29–52, 1985 (in Portuguese).
Cabral, J.J.S.P. and Cirilo, J.A., Saltwater-freshwater interface motion in leaky aquifers, BETECH 87, Computational Mechanics Publications, Southampton, 1987.
de Lange, W.J., Application of the boundary integral element method to analyse the behaviour of a freshwater-saltwater interface calculating three-dimensional groundwater flow, 9th Salt Water Intrusion Meeting, Delft, 1986.
Bear, J., Hydraulics of Groundwater, McGraw-Hill, New York, 1979.
Mualem, Y. and Bear, J., The shape of the interface in steady flow in a stratified aquifer, Water Resources Research, Vol. 10, pp. 1207–1215, 1974.
Sikkema, P.C. and van Dam, J.C., Analytical formulae for the shape of the interface in a semiconflned aquifer, Journal of Hydrology, Vol. 56, pp. 201–220, 1982.
van Dam, J.C. and Sikkema, P.C., Approximate solution of the problem of the shape of the interface in a semi-confined aquifer, Journal of Hydrology, Vol. 56, pp. 221–237, 1982.
Cabral, J.J.P.S. and Wrobel, L.C., Saltwater intrusion in leaky aquifers modelled with B-spline elements, Boundary Elements XIII, Computational Mechanics Publications, Southampton, and Elsevier, London, 1991.
Kemblowski, M., The impact of the Dupuit-Forchheimer approximation on salt-water intrusion simulation, Ground Water, Vol. 25, pp 331–336, 1987.
Brebbia, C.A., Telles, J.C.F. and Wrobel, L.C., Boundary Element Techniques, Springer-Verlag, Berlin, 1984.
Liggett, J.A. and Liu, P.L-F., The Boundary Integral Equation Method for Porous Media Flow, Allen and Unwin, London, 1983.
Marques, E., Coupling of the finite element method and the boundary element method: an application to potential problems, M.Sc. Thesis, COPPE/UFRJ, Rio de Janeiro, 1986 (in Portuguese).
Nicolet, A., Modelling of magnetic field in systems including nonlinear media, PhD Thesis, University of Liege, 1991 (in French).
Paiva, H., General planning for water supply to the metropolitan region of Recife, Internal Report, Pernambuco Water Company, Recife, 1986 (in Portuguese).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Computational Mechanics Publications
About this chapter
Cite this chapter
Cabral, J.J.S.P., Wrobel, L.C., Montenegro, A.A.A. (1992). A Case Study of Saltwater Intrusion in a Long and Thin Aquifer. In: Brebbia, C.A., Ingber, M.S. (eds) Boundary Element Technology VII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2872-8_9
Download citation
DOI: https://doi.org/10.1007/978-94-011-2872-8_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-782-6
Online ISBN: 978-94-011-2872-8
eBook Packages: Springer Book Archive