Modeling Solute Transport in the WinSRFR Surface Irrigation Software
Publication: Journal of Irrigation and Drainage Engineering
Volume 146, Issue 11
Abstract
A solute transport model has been added to the WinSRFR surface irrigation software package. The model uses advective-dispersive principles to predict the flow of solute with the irrigation stream and its final longitudinal distribution along the field based on water flow predictions generated by the simulation engine. Computations are based on the fractional stepping method: advection is computed using the method of characteristics from the velocity field computed by the simulation engine water flow calculations, and dispersion is calculated from the advection results using a centered-difference finite-difference scheme. The Akima interpolation scheme was used to build the method-of-characteristics solution. The computations are robust and execute in little time. The accuracy of the model was evaluated with numerical tests and by comparison with field measurements. Results suggest that the model can generate useful predictions under typical irrigation conditions.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. The WinSRFR 5.1 software is available for public download at https://www.ars.usda.gov/research/software/?modeCode=20-20-05-15.
References
Abbasi, F., F. J. Adamsen, D. J. Hunsaker, J. Feyen, P. Shouse, and M. T. van Genuchten. 2003a. “Effects of flow depth on water flow and solute transport in furrow irrigation: Field data analysis.” J. Irrig. Drain. Eng. 129 (4): 237–246. https://doi.org/10.1061/(ASCE)0733-9437(2003)129:4(237).
Abbasi, F., J. Šimůnek, M. T. van Genuchten, J. Feyen, F. J. Adamsen, D. J. Hunsaker, T. S. Strelkoff, and P. Shouse. 2003b. “Overland water flow and solute transport: Model development and field-data analysis.” J. Irrig. Drain. Eng. 129 (2): 71–81. https://doi.org/10.1061/(ASCE)0733-9437(2003)129:2(71).
Akima, H. 1970. “A new method of interpolation and smooth curve fitting based on local procedures.” J. ACM 17 (4): 589–602. https://doi.org/10.1145/321607.321609.
Bautista, E. 2016. “Effect of infiltration modeling approach on operational solutions for furrow irrigation.” J. Irrig. Drain. Eng. 142 (12): 06016012. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001090.
Bautista, E., and J. L. Schlegel. 2019. WinSRFR 5.1 user manual. Maricopa, AZ: Arid Land Agricultural Research Center.
Bautista, E., J. L. Schlegel, and A. J. Clemmens. 2016. “The SRFR 5 modeling system for surface irrigation.” J. Irrig. Drain. Eng. 142 (1): 04015038. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000938.
Boldt, A. L., D. G. Watts, D. E. Eisenhauer, and J. S. Schepers. 1994. “Simulation of water applied nitrogen distribution under surge irrigation.” Trans. ASAE 37 (4): 1157–1165. https://doi.org/10.13031/2013.28189.
Brunetti, G., J. Šimůnek, and E. Bautista. 2018. “A hybrid finite volume-finite element model for the numerical analysis of furrow irrigation and fertigation.” Comput. Electron. Agric. 150 (Jul): 312–327. https://doi.org/10.1016/j.compag.2018.05.013.
Burguete, J., N. Zapata, I. García-Navarro, M. Maïkaka, E. Playán, and J. Murillo. 2009. “Fertigation in furrows and level furrow systems. I: Model description and numerical tests.” J. Irrig. Drain. Eng. 135 (4): 401–412. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000097.
Cunge, J. A., F. Holly Jr., and A. Verwey. 1980. Practical aspects of computational river hydraulics. London: Pitman.
Dai, W., S. Zhang, D. Xu, M. Bai, and Y. Li. 2019. “Numerical comparison between iterative and noniterative coupled simulations for surface water flow and solute transport with unstructured grid in two-dimensional basin fertigation.” J. Irrig. Drain. Eng. 145 (1): 04018036. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001361.
Deng, Z. Q., V. P. Singh, and L. Bengtsson. 2001. “Longitudinal dispersion coefficient in straight rivers.” J. Hydraul. Eng. 127 (11): 919–927. https://doi.org/10.1061/(ASCE)0733-9429(2001)127:11(919).
Ebrahimian, H., A. Liaghat, M. Parsinejad, E. Playán, F. Abbasi, and M. Navabian. 2013. “Simulation of 1D surface and 2D subsurface water flow and nitrate transport in alternate and conventional furrow fertigation.” Irrig. Sci. 31 (3): 301–316. https://doi.org/10.1007/s00271-011-0303-3.
Elder, J. W. 1959. “The dispersion of marked fluid in turbulent shear flow.” J. Fluid Mech. 5 (4): 544–560. https://doi.org/10.1017/S0022112059000374.
Fischer, H. B., J. E. List, R. C. Koh, J. Imberger, and N. H. Brooks. 1979. Mixing in inland and coastal waters. New York: Academic Press.
García-Navarro, P., E. Playán, and N. Zapata. 2000. “Solute transport modeling in overland flow applied to fertigation.” J. Irrig. Drain. Eng. 126 (1): 33–40. https://doi.org/10.1061/(ASCE)0733-9437(2000)126:1(33).
Islam, R. M., and H. M. Chaudhry. 1997. “Numerical solution of transport equation for applications in environmental hydraulics and hydrology.” J. Hydrol. 191 (1): 106–121. https://doi.org/10.1016/S0022-1694(96)03077-6.
LeVeque, R. J. 2002. Finite volume methods for hyperbolic problems. New York: Cambridge University Press.
LeVeque, R. J. 2007. Finite difference methods for ordinary and partial differential equations. Philadelphia: Society for Industrial and Applied Mathematics.
Murillo, J., J. Burguete, P. Brufau, and P. García-Navarro. 2005. “Coupling between shallow water and solute flow equations: Analysis and management of source terms in 2D.” Int. J. Numer. Methods Fluids 49 (3): 267–299. https://doi.org/10.1002/fld.992.
Perea, H., E. Bautista, D. J. Hunsaker, T. S. Strelkoff, C. Williams, and F. J. Adamsen. 2011. “Nonuniform and unsteady solute transport in furrow irrigation. II: Description of field experiments and calibration of infiltration and roughness coefficients.” J. Irrig. Drain. Eng. 137 (5): 315–326. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000295.
Perea, H., T. S. Strelkoff, F. J. Adamsen, D. J. Hunsaker, and A. J. Clemmens. 2010. “Nonuniform and unsteady solute transport in furrow irrigation. I: Model development.” J. Irrig. Drain. Eng. 136 (6): 365–375. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000106.
Playán, E., and J. M. Faci. 1997. “Border fertigation: Field experiments and a simple model.” Irrig. Sci. 17 (4): 163–171. https://doi.org/10.1007/s002710050035.
Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. 2007. Numerical recipes: The art of scientific computing. 3rd ed. New York: Cambridge University Press.
Rutherford, J. C. 1994. River mixing. New York: Wiley.
Strelkoff, T. S. 1990. SRFR: A computer program for simulating flow in surface irrigation: Furrows-basins-borders. Phoenix: USDA-Agricultural Research Service.
Strelkoff, T. S., and A. J. Clemmens. 2007. “Hydraulics of surface systems.” In Design and operation of farm irrigation systems, 2nd ed., edited by G. J. Hoffman, R. G. Evans, M. E. Jensen, D. L. Martin, and R. L. Elliott, 436–498. St. Joseph, MI: American Society of Agricultural and Biological Engineers.
Strelkoff, T. S., A. J. Clemmens, and H. Perea-Estrada. 2006. “Calculation of non-reactive chemical distribution in surface fertigation.” Agric. Water Manage. 86 (1–2): 93–101. https://doi.org/10.1016/j.agwat.2006.07.006.
Walker, W. R., and G. V. Skogerboe. 1987. Surface irrigation: Theory and practice. Englewood Cliffs, NJ: Prentice-Hall.
Wallis, S. G., and J. R. Manson. 2004. “Methods for predicting dispersion coefficients in rivers.” Proc. Inst. Civ. Eng. Water Manage. 157 (3): 131–141. https://doi.org/10.1680/wama.2004.157.3.131.
Zerihun, D., A. Furman, A. W. Warrick, and C. A. Sanchez. 2005a. “Coupled surface-subsurface solute transport model for irrigation borders and basins. I: Model development.” J. Irrig. Drain. Eng. 131 (5): 396–406. https://doi.org/10.1061/(ASCE)0733-9437(2005)131:5(396).
Zerihun, D., C. A. Sanchez, A. Furman, and A. W. Warrick. 2005b. “Coupled surface-subsurface solute transport model for irrigation borders and basins. II: Model evaluation.” J. Irrig. Drain. Eng. 131 (5): 407–419. https://doi.org/10.1061/(ASCE)0733-9437(2005)131:5(407).
Zhang, S., D. Xu, M. Bai, Y. Li, and Q. Liu. 2016. “Fully coupled simulation for surface water flow and solute transport in basin fertigation.” J. Irrig. Drain. Eng. 142 (12): 04016062. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001103.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 146 • Issue 11 • November 2020
Copyright
© 2020 Published by American Society of Civil Engineers.
History
Received: Feb 24, 2020
Accepted: Jun 17, 2020
Published online: Aug 29, 2020
Published in print: Nov 1, 2020
Discussion open until: Jan 29, 2021
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