Revisiting Question of Evaporation Mathematical Modeling Process
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.
 Budagovsky, A. I. (1981). Evaporation of soil waters. In collection: Physics of soil waters. Moscow: Science.
 Konstantinov, A.R. (1968). Evaporation in nature. Leningrad: Hydrometeoizdat.
 Korolev, V.A., Bludushkina, L.B. (2013). Interrelation of the moisture potential n soils with the parameters of moisture evaporation from them. Journal of Engineering geology.
 Kulik, N.F. (1979). Water regime of arid zone sands. Leningrad: Gidrometeoizdat.
 Nerpin, S.V., Chudnovsky, A.F. (1967). Soil physics. Moscow: Science.
 Panina, S.S., Shein, E.V. (2014). Mathematical models of moisture transfer in the soil: the value of the experimental provision and the upper boundary conditions. Moscow University Bulletin, Series 17: Soil Science, no. 3.
 Shein, E.V. (2005). Soil physics course. Moscow: Publishing House of Moscow State University.
 Schaap, M.G., Leij, F.J., van Genuchten, M.Th. (2001). ROSETTA: a computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions. Journal of Hydrology.
 Korolev, V.A., Fedyaeva, E.A. (2012). Comparative analysis of thermal transfer in dispersed soils of different granulometric compound. Journal Engineering geology.
 Gardner, W.R., Hiller, D.I. (1962). The relation of external evaporative conditions to the drying of soils. Journal of Geophysical Research.
 Salugin, A.N. (2017). Restoration of the soil hydrophysical characteristics by using mathematical modeling. Ways to improve the efficiency of irrigated agriculture, collected works RosNIIPM. Novocherkassk.
 Salugin, A.N. (2018). The use of the main hydrophysical characteristics for modeling the vertical movement of moisture in the aeration zone. Proc. of the Lower Volga Agro-University Comp.
 Salugin, A.N., Kulik, A.K., Vlasenko, M.V. (2018). Numerical modeling of the moisture vertical movement in the aeration zone. Proc. of the Lower Volga Agro-University Comp.
 Salugin, A.N., Kulik, A.K. (2017). Hydrophysical characteristics of sandy soils: modeling the restoration of water-holding capacity. Russian Agricultural Science.
 Grifoll, J., Gasto, J.M., Cohen, Y. (2005). Non-isothermal soil water transport and evaporation. Advances in Water Resources.
 Averyanov, S.F. (1949). The dependence of the soil permeability on the air content (Report Academy of Sciences of the USSR).
 Voronin, A.D. (1990). Energy concept of the soil physical condition. Soil Science.
 Salugin, A.N., Petrov, V.I. (2017). System dynamics in simulation modeling of irrigation water regime. Proc. of the Lower Volga Agro-University Comp.
 Salugin, A.N., Kulik, A.K., Vlasenko, M.V. (2018). Dynamics of water balance elements in the models of soil hydrological processes. Russian agricultural science.
 Salugin, A.N. (2018). Simulation modeling of irrigation regime. Irrigated agriculture.
 Salugin, A.N. (2015). Structural model of the region water balance. VolgGASU Bulletin. Volgograd.
 Salugin, A.N., Kulik A.K., Vlasenko M.V. (2017). Moisture permeability of unsaturated soils of the arid zone. Russian Agricultural Science.
 Simunek, J., van Genuchten, M.Th., Sejna, M. (2007). Development and ApplIcatIons of the HYDRUS and STANMOD Software Packages and Related Codes. Vadose Zone Journal.
 Gael, A.G., Smirnova, L.F. (1999). Sands and sandy soils. Moscow: Geos.
 Gelfan, A.N. (2007). Dynamic-stochastic modeling of the snowmelt runoff formation. Moscow: Nauka.
 Van Genuchten, M.Th. (1980). A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. SoIl ScI. Soc. Am. Journal.
 Wosten, J.H. M., van Genuchten, M.Th. (1988). Using texture and other soIl properties to predict the unsaturated soil hydraulic functions. SoIl Se Soc. Am. Journal.
 Langergraber, G., Simunek, J. (2005). Modeling variably-saturated water flow and multi-component reactive transport in constructed wetlands. Vadose Zone Journal.