Abstract
One of the possible and effective methods of irrigation is to feed water to the earth by means of perforated tubes under the surface of the ground. In the design of systems of subsurface irrigation, one frequently uses empirical dependences that describe the process of moisture transfer approximately [1]. In the present paper, the propagation of moisture from a perforated tube is represented by a differential equation that takes into account the influence of capillary diffusion and gravitation [2]. The equation is solved by a finite-difference method with a locally one-dimensional scheme. The spread of moisture for different ratios of the capillary and gravitational forces is illustrated by the results of numerical calculations. The possibility is noted of simulating the supply of water to the earth in the form of a point source, which is also confirmed by calculations using the proposed difference method.
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