Analytical Approach Predicting
Water Bidirectional Transfers:
Application To Micro And Furrow Irrigation
Author(s)
D. Crevoisier
Abstract
This paper presents an analytical or semi analytical method capable of predicting
water bidirectional transfers in a soil under different irrigation systems, and
specifically for micro and furrow irrigation systems. The method developed in
this article uses the Green’s function to solve Richards’ equation. Some
assumptions are made that allow the equation to be linearized and thus solved.
The Green’s function is a well-known method used to solve the partial
differential equation (PDE) with constant coefficients in simple geometries and
general boundary conditions. The singularity of the method lies in its approach to
Richards’ equation in real irrigation contexts as it superposes simple solutions
which can be treated by Green’s function method. This work has two main aims:
to propose analytical and explicit forms of water content in the soil, and to treat
irrigation scenarios (unspecified furrow shapes in the case of furrow irrigation,
heterogeneous initial conditions, which take into account precipitation events
and plant uptakes, etc.) in a simple and operational manner. It also allows the
evaluation of the coefficients of the solute transfers equation which depend on
soil water content. This equation can then be solved with the same approach
developed for water transfers. We present here the main principles of the model,
the first results and improvements that could be made in the future.
Keywords: furrow irrigation, analytical method, Green’s function, water and
solute transfers, bidirectional.
1 Introduction
Inadequate irrigation and fertilization practices can have important
environmental impacts: waste of water, nitrate pollution. Furrow irrigation is one
Keywords
furrow irrigation, analytical method, Green’s function, water and
solute transfers, bidirectional.
Related Book
Other papers in this volume
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