COMPUTATIONAL METHOD FOR THE ANALYSIS OF DISSEMINATION OF SURFACE POLLUTION IN HYDROTECHNICAL RAMPARTS

Iryna Vergunova

Abstract


The conducted researches served as the basis for obtaining difference scheme for numerical realization of the two-dimensional model of mass transfer of a pollutant in the aeration zone of the soil of the agrolandscape with a piecewise smooth surface under the condition of instantaneous deposition of the pollutant onto the surface (as an example, Cs137 was taken as a pollutant on the basis of its passive behavior in the ground and the availability in the considered ground areas of agricultural uses due to the Chernobyl accident).

The properties of differential operators of the model and their difference analogues were studied, which allowed to substantiate the cost-effective difference scheme for the numerical solution of the problem of pollutant migration for given agrolandscape. The correctness and efficiency of the constructed two-layer implicit difference scheme is shown. This allowed to switch to the use of a chain of one-dimensional implicit tasks, in which the transition from one layer to another occurs in two steps. Obtained general computing costs allowed to assert that the proposed schemes are cost-effective difference schemes.

In turn, the use of an economical difference scheme made it possible to construct a method for the practical determination of the presence of a process of water erosion in the system of hydraulic rampart-terrace.


Keywords


mass transfer; two-dimensional model; difference scheme; soil aeration zone

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References


Kundas, S. P., Gishkelyuk, I. A., Kovalenko, V. I., Hil'ko, O. S.; Kundas, S. P. (Ed.) (2011). Komp'yuternoe modelirovanie migracii zagryaznyayushchih veshchestv v prirodnyh dispersnyh sredah. Minsk: MGEHU im. A. D. Saharova, 212.

Shein, E. V., Ryzhova, I. M. (2016). Matematicheskoe modelirovanie v pochvovedenii. Moscow: «IP Marakushev A.B.», 377.

Ting, K. C., Fleisher, D. H., Rodriguez, L. F. (Eds.) (2009). Systems Analysis and Modeling in Food and Agriculture. EOLSS Publications, 488.

Danilov, V. G., Maslov, V. P., Volosov, K. A. (2012). Mathematical Modelling of Heat and Mass Transfer Processes. Springer Science & Business Media, 323.

Hossain, M. (Ed.) (2011). Heat and Mass Transfer – Modeling and Simulation. InTech, 226.

Romanchuck, L. D., Fedonyuk, T. P., Fedonyuk, R. G. (2017). Model of influence of landscape vegetation on mass transfer processes. Biosystems Diversity, 25 (3), 203–209. doi: http://doi.org/10.15421/011731

Barabanov, А. T. (2016). Principles of adaptive-landscape generation and development of soil protection agricultural systems. Geography and Natural Resources, 37 (2), 106–113. doi: http://doi.org/10.1134/s1875372816020037

Vlasyuk, A., Zhukovskyy, V. (2017). Mathematical and computer modeling of intraparticle radionuclides mass transfer in catalytic porous media under isothermal conditions. Mathematical Modeling and Computing, 4 (2), 117–125. doi: http://doi.org/10.23939/mmc2017.02.117

Kundas, S. P., Gishkelyuk, I. A., Grinchik, N. N. (2008). Chislennoe modelirovanie migratsii primesey v pochve. Prirodopol'zovanie i okruzhayushhaya sreda. Minsk: BelNITS «Ekologiya», 56–60.

Vergunov, V. A., Vergunova, I. N., Oncsik, M. B., Dombovary, J. (2000). Cs Felhasznalasa masodlagos radioactiv szennyezod-desu Ukran, erdossztyeppes videk erozios folyamatainak vizsgalatara. Fizikai szemle, 7, 229–231.

Brovka, G. P., Dorozhok, I. N., Ivanov, S. N. (2010). Raschetnye skhemy protsessov konvektivno-diffuzionnogo perenosa vodorastvorimykh soedineniy. Inzhenerno-fizicheskiy zhurnal, 83 (5), 866–872.

Patil, S. B., Chore, H. S. (2014). Contaminant transport through porous media: An overview of experimental and numerical studies. Advances in Environmental Research, 3 (1), 45–69. doi: http://doi.org/10.12989/aer.2014.3.1.045

Zhang, Y., Wang, Q., Zhang, S. T. (2011). Numerical Simulation of Benzene in Soil Contaminant Transport by Finite Difference Method. Advanced Materials Research, 414, 156–160. doi: http://doi.org/10.4028/www.scientific.net/amr.414.156

Vergunova, I. (2016). Multigrids method for numerical solution of equation of mass transfer in the system of hydrotechnical ramparts-terraces. Problems of decision making under uncertainties” (PDMU-2016). Brno, 121–122.

Vergunov, V. A., Vergunova, I. N. (2007). Modelling of masstransfer processes of polluted substance in the complex area with the systems of hydro-technical ramparts. In Proc. of the I International conf. of environmental science and water management. Szarvas, 7, 747–755.




DOI: http://dx.doi.org/10.21303/2461-4262.2018.00711

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ISSN 2461-4262 (Online), ISSN 2461-4254 (Print)