Saltwater upconing and decay beneath a well pumping above an interface zone

Transport in Porous Media

Volumn 61, Issue 3, 2005, Pages 337-363

  Zhou, Quanlin ^a   Bear, Jacob ^b   Bensabat, Jacob ^c  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c Environmental and Water Resources Engineering Inc   (Israel)

Author keywords

Brine; Density dependent flow; Particle tracking; Saltwater upcoming; Seawater intrusion

Indexed keywords

AQUIFERS; COMPUTER SIMULATION; DECAY (ORGANIC); FINITE ELEMENT METHOD; SEPARATION;

DENSITY DIFFERENCE FACTOR; DISPERSITIVITY; SALINIZING; SALTWATER; UPCONING;

BRINES;

GROUNDWATER ABSTRACTION; PUMPING; SALINE INTRUSION;

EID: 21444431647     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-005-0261-4     Document Type: Article

References (40)

1. O. Axelsson and V.A. Barker 1984 Finite Element Solution of Boundary Value Problem, Theory and Computation Academic Press Orlando
2. M.A. Ajiz and A. Jennings 1984 A robust incomplete Choleski conjugate gradient algorithm Int. J. Numer. Methods Eng. 20 949-966
3. R. Barrett M. Berry T.F. Chan J. Demmel J.M. Donato J. Dongarra V. Eijkhout R. Pozo C. Romine and H. Vander Vorst 1994 Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods SIAM Philadelphia
4. J. Bear and G. Dagan 1964 Moving interface in coastal aquifers Proc. ASCE. 99 HY4 193-216
5. J. Bear 1979 Hydraulics of Groundwatet McGraw-Hill New York
6. J. Bear and A. Verruijt 1990 Modeling Groundwater Flow and Pollution Kluwer Academic Publishers Dordrecht
7. J. Bear and Y. Bachmat 1991 Introduction to Modeling of Transport Phenomena in Porous Media Kluwer Academic Publishers Dordrecht
8. J. Bear A.H-D. Cheng S. Sorek D. Ouazar and I. Herrera 1999 (Eds.) Seawater Intrusion in Coastal Aquifers - Concepts, Methods and Practices Kluwer Academic Publishers Dordrecht
9. Bear J., Zhou Q., and Bensabat J. (2001). Three dimensional simulation of seawater intrusion in heterogeneous aquifers: Application to the coastal aquifer of Israel, in: Proceedings of the First International Conference on Saltwater Intrusion and Coastal Aquifers-Monitoring, Modeling, and Management, Essaouira, Morocco, April 23-25
10. Bennett G.D., Mundorff M.J., and Hussain S.A. (1968). Electric-Analog Studies of Brine Coning Beneath Freshwater Wells in the Punjab Region, West Pakistan, U.S. Geological Survey Water-Supply Paper, 1608-J
11. J. Bensabat Q. Zhou and J. Bear 2000 An adaptive pathline-based particle tracking algorithm for the Eulerian-Lagrangian method Adv. Water Resour. 23 4 383-397 10.1016/S0309-1708(99)00025-1
12. J.W. Bower L.H. Motz and D.W. Durden 1999 Analytical solution for determining the critical condition of saltwater upconing in a leaking artesian aquifer J. Hydrol. 221 43-54 10.1016/S0022-1694(99)00078-5 1:CAS:528:DyaK1MXlvFCqsro%3D
13. G. Dagan 1989 Flow and Transport in Porous Formations Springer-Verlag Berlin
14. G. Dagan and D.G. Zeitoun 1998 Free-surface flow toward a well and interface upconing in stratified aquifers of random conductivity Water Resour. Res. 34 11 3191-3196 10.1029/98WR02039 1:CAS:528:DyaK1cXnsFSis7c%3D
15. H.J. Diersch D. Prochnow and M. Thiele 1984 Finite element analysis of dispersion-affected saltwater upconing below a pumping well Appl. Math. Model. 8 5 305-312 10.1016/0307-904X(84)90143-4
16. L.W. Gelhar 1993 Stochastic Subsurface Hydrology Prentice Hall Englewood Cliffs
17. H.M. Haitjema 1991 An analytic element model for transient axi-symmetric interface flow J. Hydrol. 129 215-244 10.1016/0022-1694(91)90052-J 1:CAS:528:DyaK38XhtlGrsLc%3D
18. S.M. Hassanizadeh and A. Leijnse 1988 On the modeling of brine transport in porous media Water Resour. Res. 24 321-330 1:CAS:528:DyaL1cXhslehsrc%3D
19. R.G. Haubold 1975 Approximation for steady interface beneath a well pumping freshwater overlying saltwater Ground Water. 13 3 254-259
20. A.W. Herbert L.P. Jackson and D.A. Lever 1988 Coupled groundwater flow and solute transport with fluid density strongly dependent upon concentration Water Resour. Res. 24 1781-1795 1:CAS:528:DyaL1MXmtlahtQ%3D%3D
21. M. Kemblowski 1987 The impact of the Dupuit-Forchheimer approximation on saltwater intrusion simulation Ground Water. 25 3 331-336 1:CAS:528:DyaL2sXks1CnsL8%3D
22. K. Johannsen W. Kinzelbach S. Oswald and G. Wittum 2002 The saltpool benchmark problem - numerical simulation of saltwater upconing in a porous medium Adv. Water Resour. 25 335-348 10.1016/S0309-1708(01)00059-8
23. Lever D.A., and Jackson C.P. (1985). On the equations for the flow of a concentrated salt solution through a porous medium, Harwell Rep. AERE-R. 11765, HMSO, London
24. T-S. Ma M. Sophocleous Y-S. Yu and R.W. Buddemeier 1997 Modeling saltwater upconing in a freshwater aquifer in south-central Kansas J. Hydrol. 201 120-137 10.1016/S0022-1694(97)00048-6 1:CAS:528:DyaK2sXnvVegsbo%3D
25. M. Muskat and R.D. Wyckoff 1935 An approximate theory of water-coning in oil production Trans. Am. Inst. Min. Metall. Petrol. Eng. 114 144-163
26. M. Muskat 1937 The Flow of Homogeneous Fluids Through Porous Media McGraw-Hill New York
27. S.P. Neuman 1984 Adaptive Eulerian-Lagrangian finite element method for advection-dispersion Int. J. Numer. Methods Eng. 20 321-337
28. Oswald S.E. (1998). Density-driven flow in porous media: three-dimensional experiments and modeling, PhD Thesis, Institute of Hydromechanics and Water Resources Management. ETH Zurich, Switzerland.
29. S.E. Oswald M.B. Scheidegger and W. Kinzelbach 2002 Time-dependent measurement of strongly density-dependent flow in a porous medium via nuclear magnetic resonance imaging Transport Porous Media. 47 2 169-193 10.1023/A:1015508410514 1:CAS:528:DC%2BD38Xltleksr4%3D
30. Pinder G.F., and Page R.H. (1977). Finite element simulation of salt water intrusion on the South Fork of Long Island, In: Finite Elements in Water Resources, Proceeding of the 1st international Conference Finite Elements in Water Resources, Pentech, London, pp. 2.51-2.69
31. T.E. Reilly and A.S. Goodman 1987 Analysis of saltwater upconing beneath a pumping well J. Hydrol. 89 169-204 10.1016/0022-1694(87)90179-X 1:CAS:528:DyaL2sXhs1aiurk%3D
32. T.E. Reilly M.H. Frimpter D.R. LeBlanc and A.S. Goodman 1987 Analysis of steady-state salt-water upconing with application at Truro well field, Cape Code, Massachusetts Ground Water. 25 2 194-206 1:CAS:528:DyaL2sXitVWgtrg%3D
33. H. Rubin and G.F. Pinder 1977 Approximate analysis of upconing Adv. Water Resour. 1 2 97-101 10.1016/0309-1708(77)90027-6
34. B.M. Sahni 1973 Physics of brine upconing beneath skimming wells Ground Water. 11 1 19-24
35. O.D.L. Strack 1972 Some cases of interface flow towards drains J. Eng. Math. 6 175-191 10.1007/BF01535101
36. G.I. Voss and W.R. Souza 1987 Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater-saltwater transport zone Water Resour. Res. 23 10 1851-1866 1:CAS:528:DyaL1cXktlCqtQ%3D%3D
37. R.C. Weast 1989 (ed.) Handbook of Chemistry and Physics 70th edn Chemical Rubber Publishing Company (CRC) Boca Raton
38. P. Wirojanagud and R.J. Charbeneau 1985 Saltwater upconing in unconfined aquifers J. Hydraul. Eng. ASCE. 111 3 417-434
39. Zhou Q. (1999). Modeling seawater intrusion in coastal aquifers, PhD Thesis, Technion-Israel Institute of Technology.
40. Q. Zhou J. Bensabat and J. Bear 2001 Accurate calculation of specific discharge in heterogeneous porous media Water Resour. Res. 37 12 3057-3069 10.1029/1998WR900105