Revisiting Question of Evaporation Mathematical Modeling Process
Abstract
The methods of mathematical description of evaporation processes from light soils of the arid zone of Russia are discussed. The focus is on the evaporation of moisture from the aeration zone. The analysis of theoretical work in this area and the results of their practical implementation are presented. Mathematical models of evaporation are divided into two types: physical and mathematical, taking into account the interaction of moisture with the soil frame and phenomenological, based on balance relations with the use of ordinary differential equations. The analysis of the actual material on evaporation from light soils of the Privolzhskiy sands was carried out in the light of the theory of evaporation from the capillaries surface in the pore space, taking into account the diffusion and film movements of moisture. A semi-empirical model of moisture movement in the upper soil layers in the form of analytical formulas relating the evaporation rate to the physical state of the soil water was used to estimate the water loss during evaporation. Good agreement was obtained between the theoretical provisions on the capillary movement of moisture and the data on evaporation from the sandy soils of the steppe zone of Russia. Approximation of data on the precipitation falling dynamics during the year by semi-empirical dependencies in the form of analytical formulas determines their practical use in the work of agricultural producers.
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