Coupled Surface–Subsurface Solute Transport Model for Irrigation Borders and Basins. I. Model Development
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Volume 131, Issue 5
Abstract
Surface fertigation is widely practiced in irrigated crop production systems. Lack of design and management tools limits the effectiveness of surface fertigation practices. The availability of a process-based coupled surface–subsurface hydraulic and solute transport model can lead to improved surface fertigation management. This paper presents the development of a coupled surface–subsurface solute transport model. A hydraulic model described in a previous paper by the writers provided the hydrodynamic basis for the solute transport model presented here. A numerical solution of the area averaged advection–dispersion equation, based on the split-operator approach, forms the surface solute transport component of the coupled model. The subsurface transport process is simulated using HYDRUS-1D, which also solves the one-dimensional advection–dispersion equation. A driver program is used for the internal coupling of the surface and subsurface transport models. Solute fluxes calculated using the surface transport model are used as upper boundary conditions for the subsurface model. Evaluation of the model is presented in a companion paper.
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Acknowledgments
The writers are grateful to the USDA-NRI competitive grants program for funding the research reported in this paper.
References
Abassi, F., Simunek, J., van Genuchten, M. Th., Feyen, J., Adamsen, F. J., Hunsaker, D. J., Strelkoff, T. S., and Shouse, P. (2003). “Overland flow and solute transport: Model development and field-data analysis.” J. Irrig. Drain. Eng., 129(2), 71–81.
Abbott, M. B., Andersen, J. K., Havno, K., Jemsem, K. H., Kroszynski, U. I., and Warren, I. R. (1982). “Research and development for unsaturated component of the European hydrologic system—Systeme hydrologique European (SHE).” Engineering applications of computational hydraulics, M. B. Abbott and J. A. Cunge, eds., Vol. 1, Pitman, London, 40–70.
Abbott, M. B., Bathurst, J. C., Cunge, J. A., O’Connell, P. E., and Rasmussen, J. (1986). “An introduction to European hydrological system—Systeme hydrologique European (SHE), SHE 2: Structure of a physically-based distributed modeling system.” J. Hydrol., 87, 61–77.
Bathurst, J. C., Wicks, J. M., and O’Connell, P. E. (1995). “Chapter 16: The SHE/SHESED basin scale water flow and sediment transport modeling system.” Computer models of watershed hydrology, V. P. Singh, ed., Water Resources, Highlands Ranch, Colo., 563–594.
Bear, J. (1972). Dynamics of fluids in porous media. Elsevier, New York.
Boldt, A. L., Watts, D. G., Eisenhauer, D. E., and Schepers, J. S. (1994). “Simulation of water applied nitrogen distribution under surge irrigation.” Trans. ASAE, 37(4), 1157–1165.
Cunge, J. A., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational river hydraulics. Pitman, Marshfield, Mass.
Elder, J. W. (1959). “The dispersion of marked fluid in turbulent shear flow.” J. Fluid Mech., 5, 544–560.
Fischer, H. B. (1967). “The mechanics of dispersion in natural streams.” J. Hydraul. Div., Am. Soc. Civ. Eng., 93(6), 187–216.
Fischer, H. B. (1973). “Longitudinal dispersion and turbulent mixing in open channel flow.” Annu. Rev. Fluid Mech., 5, 59–78.
Garcia-Navarro, P., Playan, E., and Zapata, N. (2000). “Solute transport modeling in overland flow applied to fertigation.” J. Irrig. Drain. Eng., 126(1), 33–40.
Gardner, B. R., and Roth, R. L. (1984). “Applying nitrogen in irrigation waters.” Nitrogen in crop production, R. D. Hauck, ed., American Society of Agronomy, Crop Science Society of America, Soil Science Society of America, Madison, Wis., 493–505.
Hoffmann, K. A., and Chiang, S. T. (1993). Computational fluid dynamics for engineers, Vol. 1, Engineering Education Systems, Witchita, Kan.
Holly, F. M. (1975). “Two dimensional mass dispersion in rivers.” Hydrologic papers, Colorado State University Press, Fort Collins, Colo.
Holly, F. M. (1985). “Dispersion in rivers and coastal waters—1. Physical principles and dispersion equations.” Developments in hydraulic engineering—3, P. Novak, ed., Elsevier, New York.
Holly, F. M., and Komatsu, T. (1983). “Derivative approximation in the two-point fourth order method for pollutant transport.” Proc., ASCE 1983 Hydraulics Division Speciality Conf., Cambridge, Mass.
Holly, F. M., and Preissmann, A. (1977). “Accurate calculation of transport in two dimensions.” J. Hydraul. Div., Am. Soc. Civ. Eng., 103(11), 1259–1277.
Islam, M. R., and Chaudhry, M. H. (1997). “Numerical solution of transport equation for applications in environmental hydraulics and hydrology.” J. Hydrol., 191, 106–120.
Jaynes, D. B., Rice, R. C., and Hunsaker, D. J. (1992). “Solute transport during chemigation of level basin.” Trans. ASAE, 35(6), 1809–1815.
Karpik, S. R., and Crockett, S. R. (1997). “Semi-Lagrangian algorithm for two-dimensional advection-diffusion equation on curvilinear coordinate meshes.” J. Hydraul. Eng., 123(5), 389–401.
Komatsu, T., Ohgushi, K., and Asai, K. (1997). “Refined numerical scheme for advective transport in diffusion simulation.” J. Hydraul. Eng., 123(1), 41–50.
Leonard, B. P. (1991). “The ULTIMATE conservative difference scheme to unsteady one-dimensional advection.” Comput. Methods Appl. Mech. Eng., 88(1991), 17–74.
Manson, J. R., Wallis, S. G., and Hope, D. (2001). “A conservative semi-Lagrangian transport for rivers with transient storage zones.” Water Resour. Res., 37(12), 3321–3329.
Martin, B. (1975). “Numerical representations which model properties of the solution to the diffusion equation.” J. Comput. Phys., 17, 358–383.
Morita, M., and Yen, B. C. (2002). “Modeling of conjunctive two-dimensional surface-three-dimensional subsurface flows.” J. Hydraul. Eng., 128(2), 184–200.
Playan, E., and Faci, J. M. (1997). “Border fertigation: field experiments and a simple model.” Irrig. Sci., 17, 163–171.
Rutherford, J. C. (1994). River mixing, Wiley, New York.
Sauvaget, P. (1985). “Dispersion in rivers and coastal waters—2. Numerical computation of dispersion.” Developments in hydraulic engineering—3, P. Novak, ed., Elsevier, New York.
Schoel, G. A., and Holly, F. M. (1991). “Cubic-spline interpolation in Lagrangian advection computation.” J. Hydraul. Eng., 117(2), 248–253.
Scott, R. L., Shuttleworth, W. J., Keefer, T. O., and Warrick, A. W. (2000). “Modeling multiyear observations of soil moisture recharge in the semiarid American Southwest.” Water Resour. Res., 36(8), 2233–2247.
Simunek, J., Hopmans, J. W., van Genuchten, M. Th., and Nielsen, D. R. (2000). “Horizontal infiltration revisited using parameter estimation.” Soil Sci., 165(9), 708–717.
Simunek, J., Sejna, M., and van Genuchten, M. Th. (1998). The HYDRUS-1D software package for simulating the movement of water, heat, and multiple solutes in variably saturated media, version 2.0, United States Salinity Laboratory, USDA-ARS, Riverside, Calif.
Staniforth, A., and Cote, J. (1991). “Semi-Lagrangian integration schemes for atmospheric models—a review.” Mon. Weather Rev., 119, 2206–2223.
Taylor, G. I. (1954). “The disperson of matter in turbulent flow through a pipe.” Proc. R. Soc. London, Ser. A, 223, 446–48.
Ventrella, D., Mohanty, B. P., Simunek, J., Losavio, N., and van Genuchten, M. Th. (2000). “Water and chloride transport in a fine-textured soil: Field experiments and modeling.” Soil Sci., 165(8), 624–631.
Wallis, S. G., and Manson, J. R. (1997). “Accurate numerical simulation of advection using large time steps.” Int. J. Numer. Methods Fluids, 24, 127–139.
Zerihun, D., Furman, A., Sanchez, C. A., and Warrick, W. A. (2003). “Calculation of recession in basins and closed-end furrows: problems and simplified solutions.” Proc., 2nd Int. Conf. on Irrigation and Drainage, Water for a Sustainable World—Limited Supplies and Expanding Demand, United States Committee on Irrigation and Drainage, Denver.
Zerihun, D., Furman, A., Warrick, A. W., and Sanchez, C. A. (2005a). “A coupled surface-subsurface flow model for improved basin irrigation management.” J. Irrig. Drain. Eng., 131(2), 111–128.
Zerihun, D., Sanchez, C. A., Furman, A., and Warrick, A. W. (2005b). “A coupled surface-subsurface solute transport model for irrigation borders and basins, II. Model evaluation.” J. Irrig. Drain. Eng., 131(5), 407–419.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 131 • Issue 5 • October 2005
Pages: 396 - 406
Copyright
© 2005 ASCE.
History
Received: Jul 26, 2004
Accepted: Dec 30, 2004
Published online: Oct 1, 2005
Published in print: Oct 2005
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