TECHNICAL PAPERS
Jul 1, 2006

Numerical Model of Saltwater Transport Toward a Pumping Well

Publication: Journal of Hydrologic Engineering
Volume 11, Issue 4

Abstract

The proposed numerical model for estimation of advective and dispersive saltwater transport below a partially penetrating pumping well, incorporates a solution of the coupled flow and transport equations. The advective transport is computed by a varied form of the method of characteristics wherein each moving point is assigned a volume rather than the concentration. Subsequently, the dispersive component is accounted for by solving the transport equation by finite-difference technique treating the precomputed advective transport as a source/sink term. The model permits estimation of the time and space variant salt concentration in soil water and the time variant salt concentration in pumped water. The model has been validated against two analytical solutions and a set of published field data.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The writers are grateful to the reviewers for their constructive comments and for providing some excellent references.

References

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).
Bear, J. (1979). Hydraulics of groundwater, McGraw-Hill, New York.
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.
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.
Chandio, B. A., and Larock, B. E. (1984). “Three-dimensional model of a skimming well.” J. Irrig. Drain. Eng., 110(3), 275–288.
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.
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.
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.
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.
Frind, E. O. (1982). “Simulation of long-term transient density-dependent transport in groundwater.” Adv. Water Resour., 5, 73–88.
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.
Gupta, A. D., and Gaikwad, V. P. (1987). “Interface upconing due to a horizontal well in unconfined aquifer.” Ground Water, 25(4), 466–474.
Haubold, R. G. (1975). “Approximation for steady interface beneath a well pumping freshwater overlying saltwater.” Ground Water, 13(3), 254–259.
Jacob, C. E. (1950). “Flow of ground water.” Engineering hydraulic, H. Rouse, ed., Chap. 5, Wiley, New York, 321–386.
Kemblowski, M. (1985). “Saltwater-freshwater transient upconing—An implicit boundary element solution.” J. Hydrol., 78, 35–47.
Khaleel, R., and Reddell, D. L. (1985). “Miscible displacement in porous media: MOC solution.” J. Irrig. Drain. Eng., 111(1), 45–64.
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.
Kruseman, G. P., and de Ridder, N. A. (1979). Analysis and evaluation of pumping test data. Bulletin 11, ILRI, Wageningen, The Netherlands.
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.
Motz, L. H. (1992). “Saltwater upconing in an aquifer overlain by a leaky confining bed.” Ground Water, 30(2), 192–198.
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.
Muskat, M. (1937). The flow of homogeneous fluids through porous media, McGraw-Hill, Inc., New York.
Panday, S. (1995). “Discussion on, ‘Upconing of Freshwater-Seawater interfaces: The Last Word.’ ” J. Contam. Hydrol., 18, 338–339.
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.
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.
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.
Reilly, T. E., and Goodman, A. S. (1987). “Analysis of saltwater upconing beneath a pumping well.” J. Hydrol., 89, 169–204.
Remson, I., Hornberger, G. M., and Molz, F. J. (1971). Numerical methods in subsurface hydrology, Wiley, New York.
Rubin, H., and Pinder, G. F. (1977). “Approximate analysis of upconing.” Adv. Water Resour., 1(2), 97–101.
Rubin, H., and Rubin, Y. (1986). “Simulation of density stratified flows in aquifers.” Adv. Water Resour., 9, 2–15.
Rushton, K. R., and Chan, Y. K. (1976). “A numerical model for pumping test analysis.” Proc. Inst. Civil Engrs. (London), 61, 281–296.
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.
Sawicki, A. (1996). “Modeling pumping of saline water from two-layer aquifer.” J. Hydraul. Eng., 122(6), 341–347.
Scheidegger, A. E. (1961). “General theory of dispersion in porous media.” J. Geophys. Res., 66(10), 3273–3278.
Schmorak, S., and Mercado, A. (1969). “Upconing of freshwater-seawater interface below pumping wells, field study.” Water Resour. Res., 5(6), 1290–1311.
Shalabey, M. E. E. (1991). “A study on saltwater transport towards a pumping well.” Ph.D. thesis, Univ. of Roorkee, Roorkee, India.
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.
Taylor, J. Z., and Person, M. (1998). “Capture zone delineations on island aquifer systems.” Ground Water, 36(5), 722–730.
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.
Wang, F. C. (1965). “Approximate theory for skimming well formulation in the Indus Plain of West Pakistan.” J. Geophys. Res., 70(20), 5055–5063.
Wirojanagud, J., and Charbeneau, R. J. (1985). “Saltwater upconing in unconfined aquifers.” J. Hydraul. Eng., 111(3), 417–434.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 11Issue 4July 2006
Pages: 306 - 318

History

Received: Apr 30, 2003
Accepted: Jul 18, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006

Permissions

Request permissions for this article.

Authors

Affiliations

M. E. Shalabey
Deceased; formerly, Member of Faculty of Engineering (Hydraulics and Irrigation), Alexandria Univ., Alexandria, Egypt.
Deepak Kashyap [email protected]
Professor, Dept. of Civil Engineering, IIT Roorkee, Roorkee, Uttaranchal 247 667 India (corresponding author). E-mail: [email protected]
Anupma Sharma
Scientist, National Institute of Hydrology, Roorkee 247 667, India.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share