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Modeling Soil Water Redistribution under Gravity Irrigation with the Richards Equation

Author

Listed:
  • Sebastián Fuentes

    (Water Research Center, Department of Irrigation and Drainage Engineering, Autonomous University of Queretaro, Cerro de las Campanas SN, Col. Las Campanas 76010, Queretaro, Mexico)

  • Josué Trejo-Alonso

    (Water Research Center, Department of Irrigation and Drainage Engineering, Autonomous University of Queretaro, Cerro de las Campanas SN, Col. Las Campanas 76010, Queretaro, Mexico)

  • Antonio Quevedo

    (Mexican Institute of Water Technology, Paseo Cuauhnáhuac Núm. 8532, Jiutepec, Morelos 62550, Mexico)

  • Carlos Fuentes

    (Mexican Institute of Water Technology, Paseo Cuauhnáhuac Núm. 8532, Jiutepec, Morelos 62550, Mexico)

  • Carlos Chávez

    (Water Research Center, Department of Irrigation and Drainage Engineering, Autonomous University of Queretaro, Cerro de las Campanas SN, Col. Las Campanas 76010, Queretaro, Mexico)

Abstract

Soil water movement is important in fields such as soil mechanics, irrigation, drainage, hydrology, and agriculture. The Richards equation describes the flow of water in an unsaturated porous medium, and analytical solutions exist only for simplified cases. However, numerous practical situations require a numerical solution (1D, 2D, or 3D) depending on the complexity of the studied problem. In this paper, numerical solution of the equation describing water infiltration into soil using the finite difference method is studied. The finite difference solution is made via iterative schemes of local balance, including explicit, implicit, and intermediate methods; as a special case, the Laasonen method is shown. The found solution is applied to water transfer problems during and after gravity irrigation to observe phenomena of infiltration, evaporation, transpiration, and percolation.

Suggested Citation

  • Sebastián Fuentes & Josué Trejo-Alonso & Antonio Quevedo & Carlos Fuentes & Carlos Chávez, 2020. "Modeling Soil Water Redistribution under Gravity Irrigation with the Richards Equation," Mathematics, MDPI, vol. 8(9), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1581-:d:412958
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    References listed on IDEAS

    as
    1. Chavez, Carlos & Fuentes, Carlos, 2019. "Design and evaluation of surface irrigation systems applying an analytical formula in the irrigation district 085, La Begoña, Mexico," Agricultural Water Management, Elsevier, vol. 221(C), pages 279-285.
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    Cited by:

    1. 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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