Modelling of furrow irrigation. Advance with two- dimensional infiltration

Abstract A complete hydrodynamic furrow irrigation model (TRIDISUL) with two-dimensional infiltration is presented and applied to blocked furrows. Richards' equation in its two-dimensional form is used to quantify the infiltrated volume in all sections along the furrow. To this equation an implicit method is used and the system of equations is solved with the Gauss-Seidel method. Saint Venant equations are solved using the Newton-Raphson method and the double sweep algorithm. This model allows the simulation of the interactions between the height of the water above the furrow bed and soil water movement during the advance, supply, recession and redistribution phases. It can give information on the position of the wetting front in the soil through time, allowing the quantification of the water stored in the root zone. It is therefore possible to choose the best inflow discharge, spacing between furrows and furrow shape to obtain the best irrigation efficiency.

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