TECHNICAL PAPERS
May 1, 1998

Two-Phase-Reactive Solute-Transport Simulation in Unsaturated Zone

Publication: Journal of Irrigation and Drainage Engineering
Volume 124, Issue 3

Abstract

A numerical model is developed for the simulation of vertical unsteady-state, two-phase reactive solute-transport through the unsaturated zone. Advective transport is simulated using the method of characteristics, whereas diffusive-dispersive transport and interphase lateral diffusion are accounted for by an implicit finite-difference scheme. The soil moisture and flux distribution required for solving the solute-transport equation is obtained by solving Richards' equation. The model is verified by comparing model-simulated solute-transport with the results of an existing analytical solution. A good agreement is obtained for different sets of parameters. Also for very small dispersivity values no numerical dispersion is present. The proposed model is also used to simulate reported experimental data of a field experiment and shows adequate agreement.

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References

1.
Amoozegar-Fard, A., Nielsen, D. R., and Warrick, A. W.(1982). “Soil solute concentration distributions for spatially varying pore water velocities and apparent diffusion coefficients.”Soil Sci. Soc. Am. J., 43, 461–467.
2.
Bear, J. (1979). Hydraulics of groundwater. McGraw-Hill, Israel.
3.
Bolt, G. H. (1982). Soil chemistry B: physico chemical models. Elsevier Science Publishers BV, Amsterdam, The Netherlands.
4.
Bresler, E.(1973). “Simultaneous transport of solute and water under transient unsaturated flow conditions.”Water Resour. Res., 9(4), 975–986.
5.
Bresler, E., and Dagan, G.(1981). “Convective and pore scale dispersive solute transport in unsaturated heterogeneous fields.”Water Resour. Res., 17, 1683–1693.
6.
Bresler, E., and Dagan, G.(1983). “Unsaturated flow in spatially variable fields: part II, solute transport models and their application to two fields.”Water Resour. Res., 19, 429–435.
7.
Brusseau, M. L., Jessup, R. E., and Rao, P. S. C.(1989). “Modelling the transport of solute influenced by multiprocess non-equilibrium.”Water Resour. Res., 25(9), 1971–1988.
8.
Butters, G., and Jury, W. A.(1989). “Field scale transport of bromide in an unsaturated soil: Part II. dispersion modeling.”Water Resour. Res., 25, 1583–1589.
9.
Cameron, D. R., and Klute, A.(1977). “Convective-dispersive solute transport with a combined equilibrium and kinetic adsorption model.”Water Resour. Res., 13, 183–188.
10.
Corey, J. C., Hawkins, R. H., and Overman, R. F.(1970). “Miscible displacement measurements within laboratory columns using gamma photoneutron method.”Soil Sci. Soc. Am. Proc., 34, 854–858.
11.
Dagan, G., and Bresler, E. (1979). “Solute dispersion in unsaturated heterogeneous soil at field scale I, theory. Soil Sci. Soc. Am. Proc., 43, 461–467.
12.
De Smedt, F., and Wierenga, P. J.(1984). “Solute transfer through columns of glass beads.”Water Resour. Res., 20(2), 225–232.
13.
Flury, M., Fluhler, H., Jury, W. A., and Leunberger, J. (1994). “Susceptibility of soils to preferential flow of water: a field study.”Water Resour. Res. 30(7), 1945–1954.
14.
Garder, A. O., Jr., Peaceman, D. W., and Pozzi, and A. L., Jr.(1964). “Numerical calculations of multidimensional miscibile displacement by the method characteristics.”Soc. Petroleum Engrg. J., 4(1), 26–36.
15.
Gray, W. G., and Pinder, F. (1976). “An analysis of the numerical solution of the transport equation.”Water Resour. Res. 12(3), 547–555.
16.
Jury, W. A.(1982). “Simulation of solute transport with a transfer function model.”Water Resour. Res., 18, 363–368.
17.
Jury, W. A., and Sposito, G.(1985). “Field calibration and validation of solute transport models for the unsaturated zone.”Soil Sci. Soc. Am. J., 49, 1331–1341.
18.
Jury, W. A., and Stolzy, L. H.(1982). “A field test of the transfer function model for predicting solute transport.”Water Resour. Res., 18(2), 369–375.
19.
Jury, W. A., Dyson, J. S., and Butters, G. L.(1990). “A transfer function model of field scale solute transport under transient water flow.”Soil Sci. Soc. Am. J., 54, 327–332.
20.
Khaleel, R., and Redell, D. L.(1985). “Miscible displacement in porous media: MOC solution.”J. Irrig. and Drain. Engrg., ASCE, 3(1), 45–64.
21.
Mohan Rao, K. M. (1986). “Hydrological response of unsaturated zone up to water table,” PhD thesis, Dept. of Hydro., Univ. of Roorkee, India.
22.
Parker, J. C., and van Genuchten, M. T. (1984). “Determining transport parameters from laboratory experiments.” Virginia Agric. Exp. Stn., Bull. 84-3.
23.
Roth, K., and Jury, W. A.(1991). “Field scale transport of chloride through an unsaturated soil.”Water Resour. Res., 27, 2533–2541.
24.
Russo, D.(1991). “Stochastic analysis of simulated vadose zone transport in a vertical cross section of heterogeneous soil during steady water flow.”Water Resour. Res., 27, 267–283.
25.
Simmons, C. S.(1982). “A stochastic-convective transport representation of dispersion in one dimensional porous media systems.”Water Resour. Res., 18, 1193–1214.
26.
Smajstrla, A. G., Reddell, D. L., and Hiller, E. A.(1975). “Simulation of miscible displacement in soils using the method of characteristics.”Trans. ASAS, 18(3), 281–287.
27.
Tseng, P. H., and Jury, W. A.(1994). “Comparison of transfer function and deterministic modelling of area averaged solute transport in a heterogeneous field.”Water Resour. Res., 30(7), 2051–2063.
28.
van Genuchten, M. T. (1976). “On the accuracy and efficiency of several numerical schemes for solving the convective-dispersive equation,”Finite element in water resources, W. G. Gray, G. F. Pinder, and C. A. Brebbia, eds., Pentech Press, London, U. K., 1.71–1.90.
29.
van Genuchten, M. T., and Gray, W. G.(1978). “Analysis of some dispersion corrected numerical schemes for solution of the transport equation.”Int. J. Numer. Methods in Engrg., 12, 387–404.
30.
van Genuchten, M. T., and Wierenga, P. J.(1976). “Mass transfer studies in sorbing porous media I. Analytical solutions.”Soil Sci. Soc. Am. Proc., 40, 473–479.
31.
Warrick, A. W., Bigger, J. W., and Nielsen, D. R.(1971). “Simultaneous solute and water transfer for an unsaturated soil.”Water Resour. Res., 7(5), 1216–1225.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 124Issue 3May 1998
Pages: 140 - 147

History

Published online: May 1, 1998
Published in print: May 1998

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Authors

Affiliations

Sulekha
Sr. Res. Assoc., Civ. Engrg. Dept., Indian Inst. of Technol. Bombay, Bombay 400 076, India.
D. Kashyap
Prof., Civ. Engrg. Dept., Univ. of Roorkee, Roorkee 247 667, India.
W. H. M. Duijnisveld
Soil Sci., Fed. Inst. of Geosciences and Natural Resour., Stillweg 2, 30655 Hannover, P.O. Box 510153, Germany.

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