Two-Dimensional Surface Flow and Solute Transport Model for Basin Irrigation with Conventional Fertilization
Publication: Journal of Irrigation and Drainage Engineering
Volume 139, Issue 3
Abstract
The authors propose a two-dimensional surface flow and solute transport model of basin irrigation with conventional fertilization. Specifically, based on the mean velocities and water depth obtained from the complete hydrodynamic model, the nonmean water flow velocities along the basin surface plane and vertical direction was constructed by use of the linear-log law in turbulence and the continuous equation of incompressible hydrodynamics. Based on these constructed velocities, the advection-diffusion equation, which can describe nonuniform solute concentration along the basin surface plane and vertical direction, was employed to describe the two-dimensional basin surface solute transport. Based on the experimental data, the proposed model was validated. The results show that the curves from the observed and simulated results are in sufficient agreement, and the proposed model can successfully simulate the basin surface water flow and solute transport for basin irrigation with conventional fertilization. The analyzed results, based on the Markov stochastic process, show that the proposed model can simulate practical effects by approximately 71.09–87.93%. The other stochastic effects, approximately 12.07–28.91%, would be simulated when the model contains other stochastic factors, such as the spatial variation of the soil physical parameters, fertilizer uniformity applied on the basin surface, and so on.
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Acknowledgments
This research was supported by the projects of the National High-Tech Research and Development Program under Grant No. 2011AA100505 and 2011BAD25B04, and by the National Natural Science Foundation of China under Grant No. 50909100. We thank Li Fuxiang, Dong Mengjun, and Gao Zhanzhong for contributing to the field experiments. We are very grateful to the senior programmer Song Chaoda and Dr. Du Weifu for their help in debugging the simulation code. The authors are very grateful to the editors and reviewers for their comments and remarks, which have resulted in significant improvements to this manuscript.
References
Abbasi, F., et al. (2003). “Overland water flow and solute transport: Model development and field data analysis.” J. Irrig. Drain Eng., 129(2), 71–81.
Bai, M., Xu, D., Li, Y., and Pereira, L. S. (2010). “Stochastic modeling of basins microtopography: Analysis of spatial variability and model testing.” Irrig. Sci., 28(2), 157–172.
Bai, M., Xu, D., Li, Y., and Pereira, L. S. (2011). “Impacts of spatial variability of basins microtopography on irrigation performance.” Irrig. Sci., 29(5), 359–368.
Bradford, S. F., and Katopodes, B. F. (2001). “Finite volume model for non-level basin irrigation.” J. Irrig. Drain Eng., 127(4), 216–223.
Bradford, S. F., and Katopodes, N. D. (1998). “Nonhydrostatic model for surface irrigation.” J. Irrig. Drain Eng., 124(4), 200–212.
Brufau, P., Garcia-Navarro, P., Playán, E., and Zapata, N. (2002). “Numerical modeling of basin irrigation with an upwind scheme.” J. Irrig. Drain Eng., 128(4), 212–223.
Dehghan, M. (2004). “Numerical solution of the three-dimensional advection-diffusion equation.” Appl. Math. Comput., 150(1), 5–19.
Gerhart, P. M., and Gross, R. J. (1985). Fundamentals of fluid mechanics, Addison-Wesley, Workingham, UK.
Goldberg, D. E. (1989). Genetic algorithm in search, optimization and machine learning, Addison-Wesley, Workingham, UK.
Jiang, C., Zhang, Y., and Ding, Z. (2007). Computational fluid dynamic, China Electric Power Press, Beijing, China (in Chinese).
LeVeque, R. J. (2007). Finite volume methods for hyperbolic problems, Cambridge University Press, Cambridge, UK.
Li, Y. (1999). Basin irrigation in north China: Evaluation, modeling and design for improvement, Technical Univ. of Lisbon, Lisbon, Portugal.
Liu, G. Q., Ma, L. X., and Xing, Z. Y. (2002). Physical property chart manual of chemical industry, Chemical Industry Press, Beijing, China (in Chinese).
Playán, E., and Faci, J. M. (1997). “Border fertigation: Field experiment and a simple model.” Irrig. Sci., 17(4), 163–171.
Playán, E., Walker, W. R., and Merkley, G. P. (1994). “Two-dimensional simulation of basin irrigation. I: Theory.” J. Irrig. Drain Eng., 120(5), 837–856.
Shao, S., and Lo, E. Y. M. (2003). “Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface.” Adv. Water Resour., 26(7), 787–800.
Strelkoff, T. S., Tamimi, A. H., and Clemmens, A. J. (2003). “Two-dimensional basin flow with irregular bottom configuration.” J. Irrig. Drain Eng., 129(6), 391–401.
Tartakovsky, A. M., Meakin, P., Scheibe, T. D., and West, R. M. E. (2007). “Simulation of reactive transport and precipitation with smoothed particle hydrodynamics.” J. Comput. Phys., 222(2), 654–672.
Tijms, H. C. (1994). Stochastic models: An algorithmic approach, Wiley, Chichester, UK.
Wang, X. P. (1997). Nitrifying bacteria cultivation and aquaculture water study of ammonia nitrogen removal, Wuxi Institute of Light Industry, Jiangsu, China (in Chinese).
Xu, R. (2009). An improved incompressible smoothed particle hydrodynamics method and its application in free-surface simulation, Manchester University, Manchester, UK.
Xu, Z., and Shu, C.-W. (2006). “Anti-diffusive finite difference WENO methods for shallow water with transport of pollutant.” J. Comput. Math., 24(3), 239–251.
Zapata, N., and Playán, E. (2000). “Simulating elevation and infiltration in level-basin irrigation.” J. Irrig. Drain Eng., 126(2), 78–84.
Zerihun, D., Fuman, A., Warrick, A. W., and Sanchez, C. A. (2005). “Couple surface-subsurface solute transport model for irrigation borders and basins. I. Model development.” J. Irrig. Drain Eng., 131(5), 396–406.
Zhang, S., Xu, D., and Li, Y. (2012a). “A two-dimensional numerical model of basin irrigation based on a hybrid numerical method.” J. Irrig. Drain Eng., 138(9), 799–808.
Zhang, S., Xu, D., Li, Y., and Bai, M. (2012b). “One-dimensional surface flow and solute transport model for basin irrigation in traditional surface application of fertilizer.” J. Irrig. Drain Eng., 138(1), 104–110.
Zhang, Z., Cui, G., and Xu, C. (2008). Theory and application of large eddy simulation of turbulent, Tsinghua University Press, Beijing (in Chinese).
Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 139 • Issue 3 • March 2013
Pages: 193 - 207
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 2, 2012
Accepted: Aug 1, 2012
Published online: Aug 9, 2012
Published in print: Mar 1, 2013
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