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Modélisation analytique des transferts bi- et tridirectionnels eau-solutés - application à l'irrigation à la raie et à la micro-irrigation

Abstract : Furrow irrigation is one of the most commonly used irrigation techniques in the world and the use of micro-irrigation, which is an irrigation technique that enables the farmer to adjust to plant needs the amount of water and fertilizer applied in the field during the crop season, has increased significantly. The tight control of water and solute bi- and three directional transfers in the context of these practices is very important and enables the improvement of these techniques by limiting water wastage, nitrogen leaching and by optimizing crop yields.

Modelling developed here proposes to represent water and solute transfers based on a semi-analytical resolution of the bi- and three-directional transfer equations (Richard's equation and the solute convection-diffusion equation). The analytical character of this model makes it possible to simulate events with variable time steps: the hour for irrigation events and the day for water and solute redistribution in the ground. In addition, it allows us to free ourselves from constraints specific to numerical methods: conditions of solution convergence and significant computing time. This model, which is based on mechanistic principles maintains, in spite of certain simplifying assumptions, a highly predictive character.

Taking into account the complexity of field geometry, particularly in furrow irrigation, and to better manage heterogeneous initial conditions, the general problem is split into elementary problems of which the analytical resolution is made possible by the use of Green's function. The solution of the general problem is then obtained by superposing the analytical solutions of these elementary problems.

The method used has the advantage of being adaptable. It facilitates the modelling of different irrigation and fertilization practices of for a wide range of time steps. Analytical resolution can similarly be applied to water and solute transfers while allowing the modelling of root uptake. Its effectiveness and its scope of validity are however limited by the assumptions on which its construction is based. Methods that improve the potential of this modelling technique in this respect are proposed.
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Contributor : David Crevoisier <>
Submitted on : Friday, March 3, 2006 - 2:57:40 PM
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David Crevoisier. Modélisation analytique des transferts bi- et tridirectionnels eau-solutés - application à l'irrigation à la raie et à la micro-irrigation. Hydrologie. ENGREF (AgroParisTech), 2005. Français. ⟨tel-00011746⟩

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