Mixing at the interface between fresh and salt waters in 3D steady flow with application to a pumping well in a coastal aquifer

Advances in Water Resources

Volumn 31, Issue 12, 2008, Pages 1565-1577

  Paster, A ^a   Dagan, G ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Boundary layer; Coastal aquifer; Groundwater hydrology; Mixing; Sharp interface; Upconing; Variable density flow

Indexed keywords

AERODYNAMICS; APPLICATIONS; AQUIFERS; BOUNDARY LAYERS; CODES (SYMBOLS); DISCHARGE (FLUID MECHANICS); DRAG REDUCTION; EARTH SCIENCES; GROUNDWATER; GROUNDWATER RESOURCES; HYDRODYNAMICS; HYDROGEOLOGY; METEOROLOGY; MIXING; SALINE WATER; SOLUTIONS; STEADY FLOW; WATER; WELL PUMPS;

COASTAL AQUIFER; GROUNDWATER HYDROLOGY; SHARP INTERFACE; UPCONING; VARIABLE-DENSITY FLOW;

PROBLEM SOLVING;

BOUNDARY LAYER; COASTAL AQUIFER; CONFINED AQUIFER; HYDROLOGY; MIXING; SALINITY; STEADY FLOW; THREE-DIMENSIONAL FLOW;

EID: 55649117967     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.06.008     Document Type: Article

References (25)

1. Bakker M. A Dupuit formulation for modeling seawater intrusion in regional aquifer systems. Water Resour Res 39 5 (2003) 1131
2. Batchelor G.K. An introduction to fluid dynamics (1967), Cambridge Univ. Press, Cambridge
3. Bear J. Hydraulics of groundwater (1979), McGraw-Hill, New York
4. Cole J.D. Perturbation methods in applied mathematics (1968), Blaisdell Publ. Comp.
5. Dagan G. Second-order theory of shallow free-surface flow in porous media. Quart J Mech Appl Math 20 4 (1967) 517-526
6. Dagan G. A derivation of Dupuit solution of steady flow toward wells by matched asymptotic expansions. Water Resour Res 4 (1968) 403-412
7. Dagan G. Perturbation solutions of the dispersion equation in porous mediums. Water Resour Res 7 (1971) 135-142
8. Dentz M., Tartakovsky D.M., Abarca E., Guadagnini A., Sanchez-Vila X., and Carrera J. Variable density flow in porous media. J Fluid Mech 561 (2006) 209-235
9. Diersch H-J. FEFLOW reference manual. Tech. rep., WASY GmbH, Institute for Water Resources Planning and Systems Research, Berlin; 2005.
10. Holzbecher E. Modeling density-driven flow in porous media (1998), Springer, Berlin Heidelberg
11. Konikow L, Goode D, Hornberger G. A three-dimensional method-of-characteristics solute-transport model (MOC3D). Tech. Rep. Water-Resources Investigations Report 96-4267, US Geol. Surv.; 1996.
12. Langevin C, Shoemaker W, Guo, W. MODFLOW-2000, the US Geol. Surv. modular ground-water model-documentation of the SEAWAT-2000 version with the variable-density flow process (VDF) and the integrated MT3DMS transport process (IMT), Tech. Rep. Open-File Report 03-426, US Geol. Surv.; 2003.
13. Lock R.C. The velocity distribution in the laminar boundary layer between parallel streams. Quart J Mech Appl Math IV 1 (1951) 42-63
14. Nordbotten J.M., and Celia M.A. An improved analytical solution for interface upconing around a well. Water Resour Res 42 (2006) 10.1029/2005WR004738
15. Oude Essink G.H.P. Salt water intrusion in a three-dimensional groundwater system in the netherlands: A numerical study. Transport in Porous Media 43 1 (2001) 137-158
16. Paster A., and Dagan G. Mixing at the interface between two fluids in porous media: A boundary layer solution. J Fluid Mech 584 (2007) 455-472
17. Paster A., and Dagan G. Mixing at the interface between two fluids in aquifer well-upconing steady flow. Water Resour Res 44 (2008) W05408 10.1029/2007WR006510
18. Rubin H. On the application of the boundary layer approximation for the simulation of density stratified flows in aquifers. Adv Water Resour 6 2 (1983) 96-105
19. Rubin H., and Buddemeier R. Application of the top specified boundary layer (TSBL) approximation to initial characterization of an inland aquifer mineralization: 1. Direct contact between fresh and saltwater. J Contam Hydro 32 (1998) 353-376
20. Smith A.J. Mixed convection and density-dependent seawater circulation in coastal aquifers. Water Resour Res 40 (2004) 10.1029/2003WR002977
21. Strack O. A single-potential solution for regional interface problems in coastal aquifers. Water Resour Res 12 6 (1976) 1165-1174
22. Van Duijn C.J., and Peletier L.A. A boundary-layer problem in fresh-salt groundwater flow. Quart J Mech Appl Math 45 (1992) 1-24
23. Voss C. SUTRA - a finite element simulation model for saturated-unsaturated, fluid density dependent ground water flow with energy transport or chemically reactive single species solute transport. Tech. Rep. Water-Res. Inv. Rep. 84-4369, US Geol. Surv., Reston VA; 1984.
24. Zheng C, Wang PP. MT3DMS, a modular three-dimensional multispecies transport model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems; documentation and user's guide. Tech. Rep. Contract Report SERDP-99-1, US Army Engineer Research and Development Center, Jacksonville, FL; 1999.
25. Zhou Q., Bear J., and Bensabat J. Saltwater upconing and decay beneath a well pumping above an interface zone. Transport Porous Med 61 3 (2005) 337-363