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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. 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.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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).

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