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A coupled model for simulating water flow and solute transport in furrow irrigation

Author

Listed:
  • Liu, Kun
  • Huang, Guanhua
  • Xu, Xu
  • Xiong, Yunwu
  • Huang, Quanzhong
  • Šimůnek, Jiří

Abstract

For optimal water and fertilizer management under furrow irrigation, it is important to understand the water and solute dynamics on the land surface and in the subsurface. An efficient mathematical tool is required to describe these dynamic processes. We propose a coupled model in which surface water flow and solute transport are described using the zero-inertia equation and the average cross-sectional convection-dispersion equation, respectively, while the two-dimensional Richards equation and the convection-dispersion equation are used to simulate water flow and solute transport in soils, respectively. Solutions are computed numerically using finite differences for surface water flow and finite volumes for solute transports in furrow. Subsurface water flow and solute transport equations are solved using the CHAIN_2D code. An iterative method is used to couple computations of surface and subsurface processes. Both surface and subsurface water flow and solute transport modules are coded in program subroutines and functions in the Intel FORTRAN environment. The coupled model was validated by comparing its simulation results with measured data. Results showed that simulated water front advances in the furrow and water contents in the soil agreed with the observations reasonably well. Good simulations can be achieved with a relatively fine temporal resolution. Numerical oscillations can be eliminated by adopting appropriate time steps. As compared with the traditional furrow irrigation model, the proposed model can better quantify soil water and solute dynamics by considering interactions between surface and subsurface water flow and solute transport processes. The proposed model can be used as a decision tool to design and manage furrow irrigation.

Suggested Citation

  • Liu, Kun & Huang, Guanhua & Xu, Xu & Xiong, Yunwu & Huang, Quanzhong & Šimůnek, Jiří, 2019. "A coupled model for simulating water flow and solute transport in furrow irrigation," Agricultural Water Management, Elsevier, vol. 213(C), pages 792-802.
    • Handle: RePEc:eee:agiwat:v:213:y:2019:i:c:p:792-802
    DOI: 10.1016/j.agwat.2018.11.024
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    References listed on IDEAS

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    1. Wang, Jun & Huang, Guanhua & Zhan, Hongbin & Mohanty, Binayak P. & Zheng, Jianhua & Huang, Quanzhong & Xu, Xu, 2014. "Evaluation of soil water dynamics and crop yield under furrow irrigation with a two-dimensional flow and crop growth coupled model," Agricultural Water Management, Elsevier, vol. 141(C), pages 10-22.
    2. Bautista, E. & Clemmens, A.J. & Strelkoff, T.S. & Schlegel, J., 2009. "Modern analysis of surface irrigation systems with WinSRFR," Agricultural Water Management, Elsevier, vol. 96(7), pages 1146-1154, July.
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    4. Crevoisier, D. & Popova, Z. & Mailhol, J.C. & Ruelle, P., 2008. "Assessment and simulation of water and nitrogen transfer under furrow irrigation," Agricultural Water Management, Elsevier, vol. 95(4), pages 354-366, April.
    5. Siyal, Altaf A. & Bristow, Keith L. & Šimůnek, Jirka, 2012. "Minimizing nitrogen leaching from furrow irrigation through novel fertilizer placement and soil surface management strategies," Agricultural Water Management, Elsevier, vol. 115(C), pages 242-251.
    6. Moreno, F. & Cabrera, F. & Andrew, L. & Vaz, R. & Martin-Aranda, J. & Vachaud, G., 1995. "Water movement and salt leaching in drained and irrigated marsh soils of southwest Spain," Agricultural Water Management, Elsevier, vol. 27(1), pages 25-44, April.
    7. Ghanbarian, Behzad & Ebrahimian, Hamed & Hunt, Allen G. & van Genuchten, M. Th., 2018. "Theoretical bounds for the exponent in the empirical power-law advance-time curve for surface flow," Agricultural Water Management, Elsevier, vol. 210(C), pages 208-216.
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    Cited by:

    1. Sebastián Fuentes & Carlos Fuentes & Heber Saucedo & Carlos Chávez, 2022. "Border Irrigation Modeling with the Barré de Saint-Venant and Green and Ampt Equations," Mathematics, MDPI, vol. 10(7), pages 1-12, March.
    2. Bristow, Keith L. & Šimůnek, Jirka & Helalia, Sarah A. & Siyal, Altaf A., 2020. "Numerical simulations of the effects furrow surface conditions and fertilizer locations have on plant nitrogen and water use in furrow irrigated systems," Agricultural Water Management, Elsevier, vol. 232(C).
    3. Liu, Yi & Zeng, Wenzhi & Ao, Chang & Lei, Guoqing & Wu, Jingwei & Huang, Jiesheng & Gaiser, Thomas & Srivastava, Amit Kumar, 2022. "Optimization of winter irrigation management for salinized farmland using a coupled model of soil water flow and crop growth," Agricultural Water Management, Elsevier, vol. 270(C).
    4. Sebastián Fuentes & Carlos Chávez, 2022. "Modeling of Border Irrigation in Soils with the Presence of a Shallow Water Table. I: The Advance Phase," Agriculture, MDPI, vol. 12(3), pages 1-12, March.

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