Numerical model of saltwater transport toward a pumping well

Journal of Hydrologic Engineering

Volumn 11, Issue 4, 2006, Pages 306-318

  Shalabey, M E E ^a   Kashyap, Deepak ^b   Sharma, Anupma ^c  

^a Alexandria University The Faculty Of Engineering   (Egypt)

^b INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^c NATIONAL INSTITUTE OF HYDROLOGY   (India)

Author keywords

Aquifers; Numerical models; Pumps; Salt water

Indexed keywords

AQUIFERS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; SEAWATER; TRANSPORT PROPERTIES;

ADVECTIVE TRANSPORT; PUMPED WATER; SALT CONCENTRATION; SALTWATER TRANSPORT; TRANSPORT EQUATIONS;

WATER WELL PUMPS;

AQUIFERS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; SEAWATER; TRANSPORT PROPERTIES; WATER WELL PUMPS;

FINITE DIFFERENCE METHOD; NUMERICAL MODEL; SALT WATER; TRANSPORT PROCESS;

EID: 33745238943     PISSN: 10840699     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)1084-0699(2006)11:4(306)     Document Type: Article

References (41)

1. Aharmouch, A., and Larabi, A. (2001). "Numerical modeling of saltwater interface upconing in coastal aquifers." Proc., 1st Int. Conf. on Saltwater Intrusion and Coastal Aquifers - Monitoring, Modeling and Management, Essaouira, Morocco, 〈http://www.olemiss.edu/sciencenet/saltnet/swica1/ Aharmouch-Larabi-paper.pdf〉 (Aug. 15, 2004).
2. Bear, J. (1979). Hydraulics of groundwater, McGraw-Hill, New York.
3. Bear, J., and Dagan, G. (1964). "The unsteady interface below a coastal collector." Hydraul. Lab. Progr. Rep. No. 3, Israel Institute of Technology, Haifa, Israel.
4. Bower, J. W., Motz, L. H., and Durden, D. W. (1999). "Analytical solution for determining the critical condition of saltwater upconing in a leaky artesian aquifer." J. Hydrol., 221, 43-54.
5. Chandio, B. A., and Larock, B. E. (1984). "Three-dimensional model of a skimming well." J. Irrig. Drain. Eng., 110(3), 275-288.
6. Chandler, R. L., and McWhorter, D. B. (1975). "Upconing of the salt water - fresh water interface beneath a pumping well." Ground Water, 13(4), 354-359.
7. Dagan, G. (1995). "Contribution to discussion of 'A density-dependent flow and transport analysis of the effects of groundwater development in a freshwater lens of limited areal extent: The Geneva area (Florida, U.S.A.) case study, by Panday et al. (1993)'" J. Contam. Hydrol., 18, 332-334.
8. Dagan, G., and Bear, J. (1968). "Solving the problem of local interface upconing in a coastal aquifer by the method of small perturbations," J. Hydraul. Res., 6(1), 15-44.
9. Diersch, H. J., Prochnow, D., and Thiele, H. (1984). "Finite element analysis of dispersion affected saltwater upconing below a pumping well." Appl. Math. Model., 8, 305-312.
10. Frind, E. O. (1982). "Simulation of long-term transient density-dependent transport in groundwater." Adv. Water Resour., 5, 73-88.
11. Garder, A. O., Jr., Peaceman, D. W., and Pozzi, A. L., Jr. (1964). "Numerical calculation of multidimensional miscible displacement by the method of characteristics." Soc. Pet. Eng. J., 4(1), 26-36.
12. Gupta, A. D., and Gaikwad, V. P. (1987). "Interface upconing due to a horizontal well in unconfined aquifer." Ground Water, 25(4), 466-474.
13. Haubold, R. G. (1975). "Approximation for steady interface beneath a well pumping freshwater overlying saltwater." Ground Water, 13(3), 254-259.
14. Jacob, C. E. (1950). "Flow of ground water." Engineering hydraulic, H. Rouse, ed., Chap. 5, Wiley, New York, 321-386.
15. Kemblowski, M. (1985). "Saltwater-freshwater transient upconing - An implicit boundary element solution." J. Hydrol., 78, 35-47.
16. Khaleel, R., and Reddell, D. L. (1985). "Miscible displacement in porous media: MOC solution." J. Irrig. Drain. Eng., 111(1), 45-64.
17. Konikow, L. F., and Bredehoeft, J. D. (1978). "Computer model of two-dimensional solute transport and dispersion in ground water." Techniques of water resources investigations of the U.S. Geological Survey, U.S. Government Printing Office, Washington, D.C.
18. Kruseman, G. P., and de Ridder, N. A. (1979). Analysis and evaluation of pumping test data. Bulletin 11, ILRI, Wageningen, The Netherlands.
19. Lin, L. C., Tsay, T. K., and Hsu, N. S. (1999). "Saltwater upconing due to freshwater pumping." Proc. Natl. Sci. Counc., Repub. China, Part A: Phys. Sci. Eng., 23(2), 248-258.
20. Motz, L. H. (1992). "Saltwater upconing in an aquifer overlain by a leaky confining bed." Ground Water, 30(2), 192-198.
21. Motz, L. M. (1995). "Discussion of 'A density-dependent flow and transport analysis of the effects of groundwater development in a freshwater lens of limited areal extent: The Geneva area (Florida, U.S.A.) case study, by Panday et al. (1993).' "J. Contam. Hydrol., 18, 321-326.
22. Muskat, M. (1937). The flow of homogeneous fluids through porous media, McGraw-Hill, Inc., New York.
23. Panday, S. (1995). "Discussion on, 'Upconing of Freshwater-Seawater interfaces: The Last Word.' " J. Contam. Hydrol., 18, 338-339.
24. Panday, S., Huyakorn, P. S., Robertson, J. B., and McGurk, B. (1993). "A density-dependent flow and transport analysis of the effects of groundwater development in a freshwater lens of limited areal extent: The Geneva area (Florida, U.S.A.) case study." J. Contam. Hydrol., 12(4), 329-354.
25. Peaceman, D. W., and Rachford, H. H. (1955). "The numerical solution of parabolic and elliptic differential equations." J. Soc. Ind. Appl. Math., 3(1), 24-41.
26. Reilly, T. E., Frimpter, M. H., LeBlanc, D. R., and Goodman, A. S. (1987). "Analysis of steady state saltwater upconing with application at Truro well field, Cape Cod, Mass." Ground Water, 25(2), 194-206.
27. Reilly, T. E., and Goodman, A. S. (1987). "Analysis of saltwater upconing beneath a pumping well." J. Hydrol., 89, 169-204.
28. Remson, I., Hornberger, G. M., and Molz, F. J. (1971). Numerical methods in subsurface hydrology, Wiley, New York.
29. Rubin, H., and Pinder, G. F. (1977). "Approximate analysis of upconing." Adv. Water Resour., 1(2), 97-101.
30. Rubin, H., and Rubin, Y. (1986). "Simulation of density stratified flows in aquifers." Adv. Water Resour., 9, 2-15.
31. Rushton, K. R., and Chan, Y. K. (1976). "A numerical model for pumping test analysis." Proc. Inst. Civil Engrs. (London), 61, 281-296.
32. Saeed, M. M., Bruen, M., and Asghar, M. N. (2002). "A review of modelling approaches to simulate saline-upconing under skimming wells." Nord. Hydrol., 33(2/3), 165-188.
33. Sawicki, A. (1996). "Modeling pumping of saline water from two-layer aquifer." J. Hydraul. Eng., 122(6), 341-347.
34. Scheidegger, A. E. (1961). "General theory of dispersion in porous media." J. Geophys. Res., 66(10), 3273-3278.
35. Schmorak, S., and Mercado, A. (1969). "Upconing of freshwater-seawater interface below pumping wells, field study." Water Resour. Res., 5(6), 1290-1311.
36. Shalabey, M. E. E. (1991). "A study on saltwater transport towards a pumping well." Ph.D. thesis, Univ. of Roorkee, Roorkee, India.
37. Sharma, A., Kashyap, D., and Asawa, G. L. (2001). "New MOC model of seawater transport in coastal aquifers." J. Hydrologic Eng., 6(5), 382-396.
38. Taylor, J. Z., and Person, M. (1998). "Capture zone delineations on island aquifer systems." Ground Water, 36(5), 722-730.
39. Voss, C. I. (1984). "A finite-element simulation model for saturated- unsaturated fluid-density-dependent groundwater flow with energy transport or chemically reactive single-species solute transport." USGS Water Resour. Invest. Rep. No. 84-4369, U.S. Geological Survey, Reston, Va.
40. Wang, F. C. (1965). "Approximate theory for skimming well formulation in the Indus Plain of West Pakistan." J. Geophys. Res., 70(20), 5055-5063.
41. Wirojanagud, J., and Charbeneau, R. J. (1985). "Saltwater upconing in unconfined aquifers." J. Hydraul. Eng., 111(3), 417-434.