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MATHEMATICAL MODELING OF SALTS LEACHING WITH ONEDIMENSIONAL FILTRATION OF WATER IN SOILS OF FINITE THICKNESS

https://doi.org/10.21822/2073-6185-2016-41-2-118-125

Abstract

Abstract. In the article is considered and solved the problem of dissolution and leaching of salts from saline strata of homogeneous soil of the first type with onedimensional steady-state and uniform water filtration. This problem is reduced to the solution of the differential equation in partial derivatives, with initial and boundary conditions.

Derived is the resulting equation of convective diffusion that determines the change in the concentration of the salt solution during filtration of water in saline soils, provided that water filtration in saline soil is steady and uniform, all the salts contained in the pores of the soil are completely dissolved, the coefficient of convective diffusion does not depend on speed of filtration.

Determined are the change in concentration in time at the lower boundary of the washing out ground thickness.

Derived are the formulae using of which allows to determine convective diffusion and dissolution of salts factors. 

About the Authors

A. G. Balamirzoev
FSBEE HE «Dagestan state technical University»
Russian Federation

doctor of technical Science, Professor of the Department of melioration, land management and cadastre, faculty of oil, gas and environmental engineering

70 I. Shamil Ave, 367015, Makhachkala



M. A. Zerbaliev
FSBEE HE "Dagestan state technical University"
Russian Federation

candidate of technical Science, associate Professor of the Department of melioration, land management and cadastre

70 I. Shamil Ave, 367015, Makhachkala



K. O. Kurbanov
«Makhachkala branch of MADI
Russian Federation

doctor of physical and mathematical Science, associate Professor

16 Belinskogo, d. 367008, Makhachkala



References

1. Balamirzoev A.G. Prediction of deformation bases waterworks on saline soils. A.G.Balamirzoev.- Rostov-na-Donu.: Izd-vo SKNC VSH, 2001.- 201p.

2. Balamirzoev A.G. Development of the theory and methods of suffusion deformations prediction when filtering reschinovatyh grounds waterworks. dissertation doctor of Technical Sciences (05.23.07): 25.05.06: utv.13.10.06 Balamirzoev Abdul Gadzhibalaevich.- Makhachkala, 2006.-409p.

3. Mamedov K. M., Ismailov F. M. A method for solving the convective diffusion equations for the case of filtration in porous media of limited capacity. Scientists universities notes MViSSO AzerbSSR Ser. X, 1973, pp. 41- 47.

4. The hydrodynamic and physico-chemical properties of rocks. Edited by N. N. Verigina. – M. Nedra, 1977- 271p.


Review

For citations:


Balamirzoev A.G., Zerbaliev M.A., Kurbanov K.O. MATHEMATICAL MODELING OF SALTS LEACHING WITH ONEDIMENSIONAL FILTRATION OF WATER IN SOILS OF FINITE THICKNESS. Herald of Dagestan State Technical University. Technical Sciences. 2016;41(2):118-125. (In Russ.) https://doi.org/10.21822/2073-6185-2016-41-2-118-125

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ISSN 2073-6185 (Print)
ISSN 2542-095X (Online)