Modeling sea-water intrusion with open boundary conditions

Ground Water

Volumn 35, Issue 4, 1997, Pages 704-712

  Padilla, Francisco ^a   Cruz Sanjulián, Javier ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COASTAL ENGINEERING; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; FLOW OF WATER; INTERFACES (MATERIALS); MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SALINE WATER; SURFACE WATERS;

COASTAL AQUIFERS; DUPUIT APPROXIMATION; GHYBEN-HERZBERG PRINCIPLE; PHREATIC SURFACE; SEAWATER INTRUSION; STEEPLY SLOPING COAST;

AQUIFERS;

EID: 0031193671     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.1997.tb00137.x     Document Type: Article

References (19)

1. Bear, J. 1972. Dynamics of Fluids in Porous Media. American Elsevier, New York.
2. Bear, J. and G. Dagan. 1964. Moving interface in coastal aquifers. J. Hydraul. Div. Am. Soc. Civ. Eng. v. 99, No. HY4, pp. 193-215.
3. Bear, J. and A. Verruijt. 1987. Modeling Groundwater Flow and Pollution. Reidel Dordrecht.
4. Brown, P. N. 1987. A local convergence theory for combined inexact-Newton/finite-difference projection methods. SIAM J. Numer. Anal. v. 24, pp. 410-434.
5. Essaid, H. I. 1990a. A multilayered sharp interface model of coupled freshwater and saltwater flow in coastal systems: Model development and application. Water Resources Research. v. 26, no. 7, pp. 1431-1454.
6. Essaid, H. I. 1990b. The computer model Sharp, a quasi-three-dimensional finite difference model to simulate freshwater and saltwater flow in layered coastal aquifer systems. U.S. Geological Survey, Water-Resources Investigations Report 90-4130.
7. Huyakorn, P. S., Y. S. Wu, and N. S. Park. 1996. Multiphase approach to the numerical solution of a sharp interface saltwater intrusion problem. Water Resources Research, v. 32, no. 1, pp. 93-102.
8. Lapidus, L. and G. Pinder. 1982. Numerical Solution of Partial Differential Equations in Science and Engineering. Wiley & Sons, New York.
9. Ledoux, E., S. Sauvagnac, and A. Rivera. 1990. A compatible single-phase/two-phase numerical model: 1. Modeling the transient salt-water/fresh-water interface motion. Ground Water. v. 28, no. 1, pp. 79-87.
10. Padilla, F., M. Leclerc, and J.-P. Villeneuve. 1990. A formal finite element approach for open boundaries in transport and diffusion groundwater problems. Int. J. Numerical Methods in Fluids. v. 11, pp. 287-301.
11. Padilla, F., Y. Secretan, and M. Leclerc. (in press.) On open boundaries in the finite element approximation of two-dimensional advection-diffusion flows. Int. J. Numerical Methods in Engineering.
12. Pickens, J. F., R. W. Gillham, and D. R. Cameron. 1979. Finite element analysis of the transport of water and solutes in tiledrained soils. J. Hydrology. v. 40, pp. 243-264.
13. Pinder, G. F. and R. H. Page. 1977. Finite element simulation of salt water intrusion on the South Fork of Long Island. In: W. G. Gray, G. F. Pinder, and C. A. Brebbia (editors): Finite Elements in Water Resources. Pentech Press, London, v. 2, pp. 51-69.
14. Saad, Y. and M. Schultz. 1986. GMRES: A generalized minimal residual algorithm for solving non symmetric linear systems. SIAM J. Sci. Stat. Comput. v. 7, pp. 856-869.
15. Secretan, Y. F. 1991. Contribution à la résolution des équations de Navier-Stokes compressibles par la méthode de éléments finis adaptatifs; développement d'un élément simple. Thése de doctorat présentée àl'Ecole Polytechnique Fédérale de Zurich, Suisse. Thése EPFZ No. 9528.
16. Shamir, U. and G. Dagan. 1971. Motion of the seawater interface in coastal aquifers: A numerical solution. Water Resources Research. v. 7, no. 3, pp. 644-657.
17. Strack, O.D.L. 1976. A single-potential solution for regional interface problems in coastal aquifers. Water Resources Research. v. 12, no. 6, pp. 1165-1174.
18. Verruijt, A. 1987. A finite element model for interface problems in groundwater flow. In: B. Schrefler and R. W. Lewis (editors), Microcomputers in Engineering Applications. John Wiley, New York. pp. 251-271.
19. Wilson, J. L. and A. Sa da Costa. 1982. Finite element simulation of a saltwater-freshwater interface with interface toe tracking. Water Resources Research. v. 18, pp. 1078-1080.