New MOC Model of Seawater Transport in Coastal Aquifers
Publication: Journal of Hydrologic Engineering
Volume 6, Issue 5
Abstract
A new miscible seawater transport model, based on a variant form of the traditional method of characteristics (MOC), is presented. The distinctive features of this model are moving packets with preassigned volumes instead of concentration, numerical tracking of moving packets using fourth-order Runge-Kutta method, and direct computation of total transport due to advection and hydrodynamic dispersion. In addition to quantification of seawater circulation, the model output illustrates (1) the path followed by seawater inside the aquifer; (2) the buildup of seawater storage; and (3) the position and advance/retreat of a disperse interface. The model has been assessed using two benchmark test problems and subsequently applied to the Biscayne aquifer in Florida. All model runs were characterized by low mass balance errors (<0.2%).
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References
1.
Anderson, M. P., and Woessner, W. W. ( 1992). Applied groundwater modeling: Simulation of flow and advective transport, Academic, San Diego.
2.
Bear, J. ( 1979). Hydraulics of ground water, McGraw-Hill, New York.
3.
Benson, D. A., Carey, A. E., and Wheatcraft, S. W. ( 1998). “Numerical advective flux in highly variable velocity fields exemplified by saltwater intrusion.” J. Contaminant Hydro., 34(3), 207–233.
4.
Cooper, H. H., Kohout, F. A., Henry, H. R., and Glover, R. E. ( 1964). “Sea water in coastal aquifers.” USGS Water-Supply Paper 1613-C, U.S. Government Printing Office, Washington, D.C.
5.
Frind, E. O. ( 1982). “Simulation of long-term transient density-dependent transport in groundwater.” Adv. Water Resour., 5, 73–88.
6.
Frolov, A. P., and Khublaryan, M. G. ( 1987). “Saltwater intrusion in coastal freshwater aquifers.” Water Resour., 13, 162–166 (translated from Vodnye Resursy, 1986, 2, 58–63).
7.
Galeati, G., Gambolati, G., and Neuman, S. P. ( 1992). “Coupled and partially coupled Eulerian-Lagrangian model of freshwater-seawater mixing.” Water Resour. Res., 28(1), 149–165.
8.
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. Petr. Engrg. J., 4(1), 26–36.
9.
Gupta, A. D., and Sivanathan, N. ( 1988). “Modelling of sea water intrusion of layered coastal aquifer.” Proc., 7th Int. Conf. on Computational Methods in Water Resour., Devel. in Water Sci. 35, Vol. 1—Modeling Surface and Sub-Surface Flows, MIT Press, Cambridge, Mass., 205–210.
10.
Henry, H. R. ( 1960). “Salt intrusion into coastal aquifers.” Int. Assn. Scientific Hydrol. Publ. No. 52, Comm. Subter. Waters, 478–487.
11.
Hill, M. C. ( 1988). “A comparison of coupled freshwater-saltwater sharp interface and convective-dispersive models of saltwater intrusion in a layered aquifer system.” Proc., 7th Int. Conf. on Computational Methods in Water Resour., Devel. in Water Sci. 35, Vol. 1—Modeling Surface and Sub-Surface Flows, MIT Press, Cambridge, Mass., 211–216.
12.
Huyakorn, P. S., Andersen, P. F., Mercer, J. W., and White, H. O., Jr. ( 1987). “Saltwater intrusion in aquifers: Development and testing of three-dimensional finite element model.” Water Resour. Res., 23(2), 293–312.
13.
Huyakorn, P. S., and Nilkuha, K. ( 1979). “Solution of transient transport equation using an upstream finite element scheme.” Applied Mathematical Modelling, 3, 7–17.
14.
Huyakorn, P. S., and Pinder, G. F. ( 1983). Computational methods in subsurface flow, Academic, San Diego.
15.
Intera Environmental Consultants, Inc. ( 1979). “Revision of the documentation for a model for calculating effects of liquid waste disposal in deep saline aquifers.” USGS Water-Resour. Invest. Rep. 76-61, 79–96.
16.
Jacob, C. E. ( 1950). “Flow of ground water.” Engineering hydraulics, H. Rous, ed., Wiley, New York, 321–386.
17.
Khaleel, R., and Reddell, D. L. (1985). “Miscible displacement in porous media: MOC solution.”J. Irrig. and Drain. Engrg., ASCE, 111(1), 45–64.
18.
Kohout, F. A., and Klein, H. ( 1967). “Effect of pulse recharge on the zone of diffusion in the Biscayne aquifer.” Int. Assn. of Scientific Hydrol. Symp. on Artificial Recharge and Management of Aquifers Publ. No. 72, Haifa, Israel, 252–270.
19.
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.
20.
Lee, C.-H., and Cheng, R. T.-Sh. ( 1974). “On seawater encroachment in coastal aquifers.” Water Resour. Res., 10(5), 1039–1043.
21.
Morton, K. W. ( 1980). “Stability of finite difference approximations to diffusion-convection equation.” Int. J. Numer. Methods in Engrg., 15, 677–683.
22.
Neuman, S. P. ( 1981). “A Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids.” J. Computational Phys., 41, 270–294.
23.
Neuman, S. P. ( 1984). “Adaptive Eulerian-Lagrangian finite element method for advection-dispersion.” Int. J. Numer. Methods in Engrg., 20, 321–337.
24.
Neuman, S. P., and Witherspoon, P. A. ( 1970). “Variational principles for confined and unconfined flow of groundwater.” Water Resour. Res., 6(5), 1376–1382.
25.
Parker, G. G. ( 1951). “Geologic and hydrologic factors in the perennial yield of the Biscayne aquifer.” AWWA J., 43(10), 817–835.
26.
Peaceman, D. W., and Rachford, H. H. ( 1955). “The numerical solution of parabolic and elliptic differential equations.” J. Society of Industrial and Applied Mathematics, 3(1), 24–41.
27.
Pinder, G. F., and Cooper, H. H., Jr. ( 1970). “A numerical technique for calculating the transient position of the saltwater front.” Water Resour. Res., 6(3), 875–882.
28.
Pinder, G., and Stohoff, S. ( 1988). “Can the sharp interface salt-water model capture transient behaviour?” Proc., 7th Int. Conf. on Computational Methods in Water Resour., Devel. in Water Sci. 35, Vol. 1—Modeling Surface and Sub-Surface Flows, MIT Press, Cambridge, Mass., 217–222.
29.
Price, H. S., Cavendish, J. C., and Varga, R. S. ( 1968). “Numerical methods of higher-order accuracy for diffusion-convection equations.” Soc. Petr. Engrg. J., 8(3), 293–303.
30.
Putti, M., and Paniconi, C. ( 1995). “Picard and Newton linearization for the coupled model of saltwater intrusion in aquifers.” Adv. Water Resour., 18(3), 159–170.
31.
Reddell, D. L., and Sunada, D. K. ( 1970). “Numerical simulation of dispersion in groundwater aquifers.” Hydro. Paper No. 41, Colorado State University, Fort Collins, Colo.
32.
Remson, I., Hornberger, G. M., and Molz, F. J. ( 1971). Numerical methods in subsurface hydrology, Wiley, New York.
33.
Sanford, W. E., and Konikow, L. F. ( 1985). “A two-constituent solute-transport model for ground water having variable density.” USGS Water-Resour. Invest. Rep. 85-4279, U.S. Geological Survey, Reston, Va.
34.
Segol, G., and Pinder, G. F. ( 1976). “Transient simulation of saltwater intrusion in Southeastern Florida.” Water Resour. Res., 12(1), 65–70.
35.
Segol, G., Pinder, G. F., and Gray, W. G. ( 1975). “A Galerkin-finite element technique for calculating the transient position of the saltwater front.” Water Resour. Res., 11(2), 343–347.
36.
Shalabey, M. E. E. ( 1992). “A study on saltwater transport towards a pumping well.” PhD thesis, Dept. of Hydro., University of Roorkee, Roorkee, India.
37.
Sharma, A. ( 1996). “Numerical modelling of seawater transport in coastal aquifers.” PhD thesis, Dept. of Hydro., University of Roorkee, Roorkee, India.
38.
Sun, N.-Z. ( 1996). Mathematical modelling of groundwater pollution, Springer, New York.
39.
Volker, R. E., Mariño, M. A., and Rolston, D. E. (1985). “Transition zone width in ground water on ocean atolls.”J. Hydr. Engrg., ASCE, 111(4), 659–676.
40.
Voss, C. I., and Souza, W. R. ( 1987). “Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater–saltwater transition zone.” Water Resour. Res., 23(10), 1851–1866.
41.
Zheng, C. ( 1993). “Extension of the method of characteristics for simulation of solute transport in three dimensions.” Ground Water, 31(3), 456–465.
42.
Zheng, C., and Bennett, G. D. ( 1995). Applied contaminant transport modelling—theory and practice, Van Nostrand Reinhold, New York.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 6 • Issue 5 • October 2001
Pages: 382 - 396
History
Published online: Oct 1, 2001
Published in print: Oct 2001
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