Article

Computer simulation of nonlinear transport processes of soil moisture.

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Abstract

ABSTRACT The movement of water in soils occur mainly under the influence of a pressure gradient. Diffusion theory suggests that the flow of water is directed from wetter layers in less moist layers. In this case, the movement of moisture in the soil can be described by a nonlinear equation. However, a sufficiently broad and repeatedly performed experiments show sometimes the opposite sign of the flow layers with small to layers with high moisture content. These facts are in conflict with the law of Darcy underlying diffusion theory. In order to keep the Darcy law and at the same time explain the presence of potential flows against moisture, apply the modified diffusion equation. Disabled iteration method of moisture transfer in inhomogeneous medium. A mathematical model of a problem composes the nonlinear differential equation of the third order initial-boundary conditions. Compiled difference boundary value problem, the algorithm of calculation of moisture in a heterogeneous environment and a program is calculating. Numerical calculations show the stability of the solution of the approximate problem, and some results of numerical calculations. 1. Developed an approximate method for calculating the diffusion coefficient of soil moisture. 2. A program for solving nonlinear boundary value problems for the equation of moisture transfer. 3. The numerical calculations, taking into account evaporation and absorption of moisture in the soil.

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