Overland Water Flow and Solute Transport: Model Development and Field-Data Analysis
Publication: Journal of Irrigation and Drainage Engineering
Volume 129, Issue 2
Abstract
The application of plant nutrients with irrigation water is an efficient and cost-effective method for fertilizer application to enhance crop production and reduce or eliminate potential environmental problems related to conventional application methods. In this study, a combined overland water flow and solute transport model for analysis and management of surface fertigation/chemigation is presented. Water flow is predicted with the well-known Saint-Venant’s equations using a control volume of moving cells, while solute transport is modeled with the advection-dispersion equation. The 1D transport equation was solved using a Crank-Nicholson finite-difference scheme. Four, large-scale, field experiments were conducted on blocked-end and free draining furrows to calibrate and verify the proposed model. The results showed that application of solute during the entire irrigation event, or during the second half of the irrigation for blocked end conditions with appropriate inflow rates, produced higher solute uniformity than application of solute during the first half of the irrigation event. Measured fertilizer distribution uniformity of the low quarter ranged from 21 to 76% while fertilizer distribution uniformity of the low half values varied between 62 to 87%. The model was subsequently applied to the experimental data; results showed good agreement with all field data. Water balance errors for the different experiments varied from 0.004 to 1.8%, whereas fertilizer mass balance errors ranged from 1.2 to 3.6%. A sensitivity analysis was also performed to assess the effects of longitudinal dispersivity parameter on overland solute concentrations. A value of 10 cm for dispersivity provided a reasonable fit to the experimental data.
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References
Abbasi, F., Jolaini, M., Moaiyeri, M., Rezaee, H. T., and Shooshtari, M. M. (1999). “Development a mathematical model to evaluate and design of surface irrigation systems.” Technical Report No. 122, Iranian Agricultural Engineering Research Institute, Karaj, Iran (in Persian).
Abbasi, F., Shooshtari, M. M., and Feyen, J. (2003). “Evaluation of the various surface irrigation numerical simulation models.” J. Irrig. Drain. Eng., in press.
Bear, J. (1972). Dynamics of fluids in porous media, Elsevier Science, 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.
Bowman, R. S., and Rice, R. C.(1986). “Transport of conservative tracers in the field under intermittent flood irrigation.” Water Resour. Res., 22, 1531–1536.
Brebion, S., Lebrun, B., Chevereau, G., and Preissmann, A. (1971). “Modeles mathematiques de la pollution.” IRCHA, Centre de Recherche, 91 Vert-lepetit, France (in French).
Chow, V. (1959). Open channel hydraulics, McGraw-Hill, New York.
Cunge, J. A., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational river hydraulics, Pitman, London.
Elliot, R. L., and Walker, W. R.(1982). “Field evaluation of furrow infiltration and advance functions.” Trans. ASAE, 25(2), 396–400.
Fangmeier, D. D., and Ramsey, K. K.(1978). “Intake characteristics of irrigation furrows.” Trans. ASAE, 21, 696–700.
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.
Hanson, B., Bowers, W., Davidoff, B., Kasapligil, D., Carvajal, A., and Bendixen, W. (1995). “Field performance of micro-irrigation systems, Micro-irrigation for a changing word: Conserving resources/preserving the environment.” Proc., 5th Int. Micro-Irrigation Congress, 769–774.
Holley, E. R. (1971). “Transverse mixing in rivers.” Report No. S132, Delft Hydraulic Laboratory, Delft, The Netherlands.
Huyakorn, P. S., and Pinder, G. F. (1983). Computational methods in subsurface flow, Academic, London.
Jaynes, D. B., Bowman, R. S., and Rice, R. C.(1988). “Transport of conservative tracers in the field under continuous flood irrigation.” Soil Sci. Soc. Am. J., 52, 618–624.
Jaynes, D. B., Rice, R. C., and Hunsaker, D. J.(1992). “Solute transport during chemigation of a level basin.” Trans. ASAE, 35(6), 1809–1815.
Leendertse, J. J. (1970). “A water quality simulation model for well-mixed estuaries and coastal seas: Vol. I., Principles of computation.” Rand Corporation Memorandum, RM-6230-RC.
Merriam, J. L., and Keller, J. (1978). Farm irrigation system evaluation: A guide for management, Utah State Univ., Logan, Utah.
Playan, E., and Faci, J. M.(1997). “Border irrigation: Field experiment and a simple model.” Irrig. Sci., 17(4), 163–171.
Rice, R. C., Bowman, R. S., and Jaynes, D. B.(1986). “Percolation of water below an irrigated field.” Soil Sci. Soc. Am. J., 50, 855–859.
Strelkoff, T. S., and Clemmens, A. J.(2000). “Approximating wetted perimeter in a power-law cross section.” J. Irrig. Drain. Eng., 126(2), 98–109.
Strelkoff, T. S., Clemmens, A. J., El-Ansary, M., and Awad, M.(1999). “Surface irrigation evaluation models: Application to level basin in Egypt.” Trans. ASAE, 42(4), 1027–1036.
Thomas, L. H. (1949). “Elliptic problems in linear difference equations over a network.” Report of Watson Science Computing Laboratory, Columbia Univ., New York.
Threadgill, E. D.(1985). “Chemigation via sprinkler irrigation: Current status and future development.” Appl. Eng. Agric., 1(1), 16–23.
Threadgill, E. D., Eisenhauer, D. E., Young, J. R., and Bar-Yosef, B. (1990). “Chemigation.” G. J. Hoffman, T. A., Howell, and K. H. Solomon (eds.) Management of farm irrigation systems, ASAE, St. Joseph, Mich., 747–780.
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Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 129 • Issue 2 • April 2003
Pages: 71 - 81
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Oct 12, 2001
Accepted: Jul 3, 2002
Published online: Mar 14, 2003
Published in print: Apr 2003
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