CAUSES OF SECONDARY SALINIZATION OF IRRIGATED SOILS OF THE LOWER POVOLGHYE REGION AND ITS FORECASTING BASED ON MATHEMATICAL MODELING OF MOISTURE TRANSPORT

Author(s):  
A.S. Ovchinnikov
2021 ◽  
Vol 26 (2) ◽  
pp. 7-14
Author(s):  
S. Kh. Gekkieva ◽  
M. M. Karmokov ◽  
M. A. Kerefov

The mathematical models of fluid filtration processes in porous media with a fractal structure and memory are based on differential equations of fractional order in both time and space variables. The dependence of the soil water content can significantly affect the moisture transport in capillary-porous media. The paper investigates the generalized Aller equation widely used in mathematical modeling of the processes related to water table dynamics in view of fractal structure. As a mathematical model of the Aller equation withRiemann Liouville fractional derivatives, a loaded fractional order equation is proposed, and a solution to the Goursat problem has been written out for this model in explicit form.


2021 ◽  
pp. 5-48
Author(s):  
E. I. Kravchenko ◽  
N. B. Khitrov ◽  
I. N. Gorokhova

The current state of salinity of irrigated soils in the area of the Sarpinskaya hollow in the Caspian lowland has been studied, using the example of the Duboovrazhny irrigated plot in the Volgograd region. At the peak of irrigation in the 85-90s of the last century, forage grasses were cultivated on the plot, irrigation was carried out by sprinkler irrigation, the groundwater level remained satisfactory, and there were no foci of secondary soil salinization. Currently, the plot is a private farm, where melons and vegetables are grown using drip irrigation, the groundwater level remains satisfactory with local formation of temporal water saturated layer. To identify the features of the process of salinization in irrigated soils in the Sarpinskaya hollow based on the materials of the field work performed in 2018–2019, a model of two-dimensional distribution (depth, distance) of the activity of ions (Ca2+, Cl–, Na+) over several profiles along weakly concave low ranges and elongated hollows between them and across relief wave was created. It was revealed that natural soil salinization predominates in the study plot mainly deeper than 1 m, and results from shallow bedding of Khvalynian chocolate clays at ranges. Solonchakous soils occur in elongated hollows between ranges where surface and subsurface runoff water is accumulated and natural drainability is low. Residual traces of soil secondary salinization expressed in the presence of calcium chloride in the soil solution were found. The maximum values of salts and exchangeable sodium are concentrated in the deeper part of the soil profile. 


2002 ◽  
Vol 7 (2) ◽  
pp. 177-190 ◽  
Author(s):  
R. Čiegis ◽  
V. Starikovičius

This work focuses on the development of mathematical models describing moisture movement in wood, when the wood is considered as porous medium. Main moisture transport mechanisms are discussed. It is shown how the wood can be described as a two‐ or three‐phase system. Summaries of several multiphase flow models are presented in the hierarchical order: from the most general models to more simple examples. The approximation steps are described explicitly, and all assumptions are given in detail. It shown how models for specific applications in wood drying or saturation can be obtained.


2015 ◽  
Vol 46 (S 01) ◽  
Author(s):  
R. Lampe ◽  
N. Botkin ◽  
V. Turova ◽  
T. Blumenstein ◽  
A. Alves-Pinto

Sign in / Sign up

Export Citation Format

Share Document