OPTIMIZATION PRINCIPLE FOR AIR AND WATER MOVEMENT

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Abstract
We derive a new optimization principle that can be used, first, to predict accurately water intake into a soil when air movement is not negligible. The principle is also useful for solving the transport equation numerically, by avoiding numerous iterations. Finally, analytical approximations can be greatly improved when the principle is taken into account.These three applications of the optimization principle are illustrated by comparison with an exact solution using Brutsaert's technique. We derive a new optimization principle that can be used, first, to predict accurately water intake into a soil when air movement is not negligible. The principle is also useful for solving the transport equation numerically, by avoiding numerous iterations. Finally, analytical approximations can be greatly improved when the principle is taken into account. These three applications of the optimization principle are illustrated by comparison with an exact solution using Brutsaert's technique. © Williams & Wilkins 1982. All Rights Reserved.

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