Skip to main content
Log in

Analytical Mathematical Model of Chemical Suffosion while Washing Saline Soils

  • SOIL PHYSICS
  • Published:
Eurasian Soil Science Aims and scope Submit manuscript

Abstract

The problem of the quantitative assessment and prediction of suffosion-induced subsidence in saline soils and sediments is relevant for irrigation, washing of saline soils, and increasing amounts of domestic and industrial effluents. Based on the solution of the convective diffusion equation and taking into account the dissolution of salts of the solid phase, the presented mathematical analytical model can be used to solve both the direct problem of predicting desalinization of the soil profile and finding the soil washing rate and time required for washing of a given thickness of soil to a certain salinity level and the inverse problem of determining the hydrodynamic dispersion parameter and the diffusivity. This model is based on the concept of the average integral value of the concentration of soil solution (i.e., its average concentration in the entire calculated soil profile, but not in separate discrete layers) and the corresponding method for determining the dissolution rate of the salts in the solid phase of soils and sediments, which makes it possible to quantitatively calculate and predict the suffosion-induced compaction and subsidence of soils and dispersed sediments. Taking into account the ongoing processes in the real time, an analytical procedure was developed for finding the dissolution rate of salts. The suggested analytical solution of the convective–diffusive salt transfer can be applied to predict the redistribution of salts over time in water-saturated soil profile with surface salinization and deep groundwater table.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. S. F. Aver’yanov, Combat the Salinization of Irrigated Lands (Kolos, Moscow, 1978) [in Russian].

    Google Scholar 

  2. I. P. Aidarov, A. I. Korol’kov, and V. Kh. Khachatur’yan, “Calculation of the water–salt budget of soils,” Pochvovedenie, No. 5, 62–69 (1988).

    Google Scholar 

  3. Yu. G. Bogomolov, V. F. Zhabin, and V. Kh. Khachatur’yan, Change of Hydrogeological Conditions Caused by Melioration (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

  4. E. G. Vaksman, E. V. Mironenko, and Ya. A. Pachepskii, “A method to determine the salt transfer parameter upon the soil leaching procedure,” Gidrotekh. Melior., No. 11, 83–84 (1981).

  5. N. N. Verigin, “Chemical hydrodynamics used in melioration and hydrotechnics,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 7, 1369–1382 (1953).

    Google Scholar 

  6. N. N. Verigin, “Kinetics of salt dissolution during water filtration in ground,” in Dissolution and Leaching of Mountain Minerals (Stroiizdat, Moscow, 1957), pp. 84–113 [in Russian].

    Google Scholar 

  7. N. N. Verigin, S. V. Vasil’ev, N. P. Kuranov, V. S. Sarkisyan, and D. F. Shul’gin, Forecasting Methods of Salt Balance in Soils and Groundwater (Kolos, Moscow, 1979) [in Russian].

    Google Scholar 

  8. N. N. Verigin, K. Z. Azizov, and F. D. Mikaiylov, “The effect of boundary conditions upon modeling salt transfer processes in soils subjected to leaching,” Pochvovedenie, No. 6, 67–73 (1986).

    Google Scholar 

  9. V. R. Volobuev, Calculation of Water Rates to Leach Saline Soils (Kolos, Moscow, 1975) [in Russian].

    Google Scholar 

  10. L. N. Gorev and V. I. Peleshenko, Meliorative Hydrochemistry (Vishcha Shkola, Kiev, 1984) [in Russian].

    Google Scholar 

  11. F. D. Mikailsoy, Candidate’s Dissertation (Baku, 1989).

  12. F. D. Mikayilov, “Determination of salt-transport model parameters for leaching of saturated superficially salted soils,” Eurasian Soil Sci. 40, 544–554 (2007). https://doi.org/10.1134/S1064229307050092

    Article  Google Scholar 

  13. F. D. Mikailsoy and K. Z. Azizov, “Determination of hydrochemical parameter of dispersion of salt transfer during washing of saline water-saturated soils,” Pochvovedenie, No. 5, 84–90 (1985).

    Google Scholar 

  14. A. A. Mustafaev, Deformation of Saline Grounds in the Construction Basements (Stroiizdat, Moscow, 1985) [in Russian].

    Google Scholar 

  15. Development of the Studies on the Theory of Filtration in the USSR (1917–1967), Ed. by P. Ya. Polubarinova-Kochina (Nauka, Moscow, 1969), pp. 314–336 [in Russian].

    Google Scholar 

  16. L. M. Reks, “Redistribution of salts in soil,” J. Appl. Mech. Tech. Phys. 8, 35–39 (1967).

    Google Scholar 

  17. B. A. Faibishenko, Water-Salt Balance in Soils during Irrigation (Agropromizdat, Moscow, 1986) [in Russian].

    Google Scholar 

  18. V. P. Khomenko, The Pattern and Forecast of Suffosion Processes (GEOS, Moscow, 2003) [in Russian].

    Google Scholar 

  19. E. V. Shein and I. M. Ryzhova, Mathematical Modeling in Soil Science: A Manual (IP Marakushev A.B., Moscow, 2016) [in Russian].

  20. Proceedings of EWG-IE 26th Annual Meeting 2018 “Internal Erosion in Earthdams, Dikes and Levees,” Ed. by S. Boneli, C. Jommi, and D. Sterpi (Springer-Verlag, New York, 2018), Vol. 17, pp. 168–179. https://doi.org/10.1007/978-3-319-99423-9_16

  21. A. A. Bykov and O. R. Kuzichkin, “Regression prediction algorithm of suffusion processes development during geoelectric monitoring,” Adv. Environ. Biol. 8 (5), 1404–1408 (2014)

  22. A. Chetti, A. Benamar, and A. Hazzab, “Modeling of particle migration in porous media: application to soil suffusion,” Transp. Porous Media 113 (3), 591–606 (2016). https://doi.org/10.1007/s11242-016-0714-y

    Article  Google Scholar 

  23. F. Golay and S. Bonelli, “Numerical modeling of suffusion as an interfacial erosion process,” Eur. J. Environ. Civil Eng. 15 (8), 1225–1241 (2011). https://doi.org/10.1080/19648189.2011.9714850

    Article  Google Scholar 

  24. V. Herus, P. Martyniuk, O. Stepanchenko, and T. Tsvetkova, “Numerical modeling of a system of interrelated consolidation and mechanical-chemical suffusion processes in heterogenic porous media,” Int. J. Pure Appl. Math. 116 (4), 1043–1056 (2017). https://doi.org/10.12732/ijpam.v116i4.19

    Article  Google Scholar 

  25. M. Hosseininia, F. Hassanpour, H. Naghavi, et al., “Leaching of saline calcareous soil under laboratory conditions,” Eurasian Soil Sci. 52, 1214–1222 (2019). https://doi.org/10.1134/S106422931910003X

    Article  Google Scholar 

  26. Z. Hu and Y. Zhang, “Suffusion-induced deformation and microstructural change of granular soils: a coupled CFD–DEM study,” Acta Geotech. 14, 795–814 (2019). https://doi.org/10.1007/s11440-019-00789-8

    Article  Google Scholar 

  27. V. S. Litvintsev, V. S. Alekseev, and A. M. Pulyaevsky, “Suffusion processes in the technology of formation of enriched zones inside gold placer mining waste dumps,” J. Min. Sci. 48 (5), 914–919 (2012). https://doi.org/10.1134/S1062739148050164

    Article  Google Scholar 

  28. D. Marot and A. Benamar, “Suffusion, transport and filtration of fine particles in granular soil,” in Erosion of Geomaterials, Ed. by S. Boneli, (Wiley, Chichester, 2012), pp. 39–79. https://doi.org/10.1002/9781118561737.ch2

    Book  Google Scholar 

  29. P. Milanovic, N. Maksimovich, and O. Meshcheriakova, “Dams and reservoirs in evaporites,” in Advances in Karst Science (Springer-Verlag, New York, 2019). https://doi.org/10.1007/978-3-030-18521-3

    Book  Google Scholar 

  30. F. D. Mikayilov, “Dissolution and leaching of salts from waterlogged soils,” in Proceedings of the 6th International Symp. (Bourgas, 2004), Vol. 1, pp. 20–38.

  31. F. D. Mikailsoy and Y. A. Pachepsky, “Average concentration of soluble salts in leached soils inferred from the convective-dispersive equation,” Irrig. Sci. 28 (5), 431–434 (2010). https://doi.org/10.1007/s00271-009-0203-y

    Article  Google Scholar 

  32. L. Ya. Pobereznyi, L. Ya. Poberezhna, P. O. Maruschak, and S. V. Panin, “Assessment of potential environmental risks from saline soils subsidence,” IOP Conf. Ser.: Earth Environ. Sci. 50, 012046 (2017). https://doi.org/10.1088/1755-1315/50/1/012046

  33. A. Ranjbar and M. Ehteshami, “Development of an uncertainty based model to predict land subsidence caused by groundwater extraction (case study: Tehran basin),” Geotech. Geol. Eng. 37, 3205–3219 (2019). https://doi.org/10.1007/s10706-019-00837-w

    Article  Google Scholar 

  34. W. D. Reynolds, “An analytic description of field capacity and its application in crop production,” Geoderma 326, 56–67 (2018). https://doi.org/10.1016/j.geoderma.2018.04.007

    Article  Google Scholar 

  35. E. V. Shein and A. B. Umarova, “Changes in physical properties of soils and soil properties as derived from the data of a long-term experiment (1961–2002),” Eurasian Soil Sci. 35, 100–106 (2002).

    Google Scholar 

  36. A. G. Ward and S. W. Trimble, Environmental Hydrology, 2nd ed. (CRC Press, Boca Raton, 2003).

    Google Scholar 

Download references

Funding

This study was partly supported by the TÜBİTAK (Türkiye Bilimsel Ve Teknolojik Araştırma Kurumu Başkanlığı—The Scientific and Technological Research Council of Turkey).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. V. Shein.

Ethics declarations

The authors declare that they have no conflict of interest.

Additional information

Translated by V. Klyueva

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mikailsoy, F.D., Shein, E.V. Analytical Mathematical Model of Chemical Suffosion while Washing Saline Soils. Eurasian Soil Sc. 53, 1247–1254 (2020). https://doi.org/10.1134/S1064229320090100

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064229320090100

Keywords:

Navigation