Modeling Soil Water Redistribution under Gravity Irrigation with the Richards Equation

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ID: 265757
2020
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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.
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fuentes2020mathematicsmodeling Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Sebastián Fuentes;Josué Trejo-Alonso;Antonio Quevedo;Carlos Fuentes;Carlos Chávez;Fuentes, Sebastián;Trejo-Alonso, Josué;Quevedo, Antonio;Fuentes, Carlos;Chávez, Carlos;
Journal Mathematics
Year 2020
DOI
10.3390/math8091581
URL
https://www.mdpi.com/2227-7390/8/9/1581/htm
Keywords
differential equation infiltration finite difference irrigation gravity numerical methods

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