PARAMETERS OF MATHEMATICAL MODELS FOR VERTICAL MIGRATION OF HEAVY METALS IN SOILS IN THE AREA OF LEAD AND ANTIMONY PLANT
https://doi.org/10.19047/0136-1694-2019-97-150-164
Abstract
The data on distribution of heavy metals in the soil profile (Yuan et al., 2017) of the province Guangxi in southern China in the zone influenced by lead and antimony plant were analyzed. The soil is sod-calcareous and rich in humus. The averaged over the years and depth (“apparent”) parameters of diffusion and convective-diffusion models of migration in the area of combined soil pollution (only soil aerogenic pollution and in combination with the sewage waters) are estimated. The largest values of the diffusion parameters were obtained for Zn and Cd (n∙10–7 сm2/sec), the smallest values were obtained for Pb and Sb (n∙10–8 сm2/sec). When soil was flooded by waste waters, a reliable convective component of migration for Zn and Sb was noted. At the same time the peak of Zn concentration moved to the depth of 40–60 cm. Under these conditions there was no clear inverse correlation between the migration mobility and the amount of sorption of elements by the soil.
About the Authors
A. S. Frid
V.V. Dokuchaev Soil Science Institute
Russian Federation
119017, Moscow, Pizhevskiy per., 7, build. 2.
Russian Federation
119017, Moscow, Pizhevskiy per., 7, build. 2.
T. I. Borisochkina
V.V. Dokuchaev Soil Science Institute
Russian Federation
119017, Moscow, Pizhevskiy per., 7, build. 2.
Russian Federation
119017, Moscow, Pizhevskiy per., 7, build. 2.
References
1. Malkovich R.Sh., Matematika diffuzii v poluprovodnikakh (Mathematics of diffusion in semiconductors), Moscow: Nauka, 1999, 387 p.
2. Polyanin A.D., Vyaz'min A.V., Zhurov A.I., Kazenin D.A., Spravochnik po tochnym resheniyam uravnenii teplo- i massoperenosa (Handbook of exact solutions for heat and mass transfer equations), Moscow: Factorial, 1998, 368 p.
3. Prokhorov V.M., Migratsiya radioaktivnykh zagryaznenii v pochvakh: fiziko-khimicheskie mekhanizmy i modelirovanie (Migration of radioactive contamination in the soil: physico-chemical mechanisms and modeling), Moscow: Energoizdat, 1981, 100 p.
4. Prokhorov V.M., Frid A.S., Kolichestvennye zakonomernosti diffuzii ionov v pochve kak poristoi adsorbiruyushchei srede, Voprosy energo- i massoobmena v sisteme pochva-rastenie-atmosfera (Quantitative regulararities of ions diffusion in soil as a porous adsorbing medium, Issues of energy and mass transfer in the system soil-plant-atmosphere), Trudy po agronomicheskoi fizike, Leningrad, 1971, Vol. 32, pp. 80–89.
5. Ryzhinskii M.V., Frid A.S., Prokhorov V.M., Sravnenie tochnogo i priblizhennogo reshenii uravneniya vynuzhdennoi diffuzii pri opredelenii parametrov khromatograficheskogo perenosa (Comparison between precise and approximate data of the forced diffusion equation for determining the parameters of chromatographic transfer), Zhurnal fizicheskoy khimi, 1971, Vol. 45, No. 11, pp. 2875–2879.
6. Ryzhinskii M.V., Frid A.S., Obobshchenie uravneniya konvektivnoi diffuzii na mnogofaznuyu sredu (Generalising the equation of convective diffusion for many-phase medium), Byull. nauchno-tekhnich. informatsii po agronomicheskoi fizike, Leningrad, 1973, No. 17–18, pp.17–21.
7. Frid A.S., Mekhanizmy i modeli migratsii 137 Cs v pochvakh (The mechanisms and the models of 137 Cs migration in soils), Radiatsionnaya biologiya. Radioekologiya, 1999, Vol. 39, No. 6, pp. 667–674.
8. Frid A.S., Borisochkina T.I., Ispol'zovanie migratsionnykh modelei pri issledovanii peredvizheniya tyazhelykh metallov v zagryaznennykh pochvakh (Application of migration models to the study of heavy metals ’ migration in contaminated soils), Proc. Meeting June 8, 2010, on Problems of anthropogenic impact on the scope of agro-industrial production: theory and practice, Obninsk, pp. 100–105.
9. Frid A.S., Goma Botkhina Saad M.A., Borisochkina T.I., Migratsiya tyazhelykh metallov v aridnykh pochvakh Egipta, oroshaemykh prirodnymi i gorodskimi stochnymi vodami (podvedenie itogov) (The migration of heavy metal in Egyptian arid soils irrigated by natural and city waste waters (sum up)), Agrokhimiya, 2016, No. 11, pp.46–57.
10. Frid A.S., Borisochkina T.I., Parametry modelei migratsii tyazhelykh metallov i drugikh elementov iz piritnykh khvostov v pervye dva mesyatsa posle popadaniya na karbonatnuyu pochvu (Parameters of migration models of heavy metals and other elements from pyrite tailings in the first two months after the spill on the calcareous sandy soil), Agrokhimiya, 2018 (a), No. 2, pp. 88–98, DOI: 10.7868/S0002188118020084.
11. Frid A.S., Borisochkina T.I., Parametry modelei migratsii tyazhelykh metallov v nenarushennykh lesnykh pochvakh v zone vozdeistviya staleliteinogo zavoda (Parameters of the models of migration of heavy metals in undisturbed forest soils in the impact zone of steel mill), Agrokhimiya, 2018 (b), No. 3, pp. 72–76, DOI: 10.7868/S0002188118030092.
12. Frid A.S., Borisochkina T.I., Parametry modelei migratsii Zn i Cd v pakhotnykh pochvakh v zone vozdeistviya metallurgicheskogo kompleksa (Parameters of Zn and Cd migration models in arable soils in the impact zone of metallurgical complex in the north of France), Agrokhimiya, 2018 (c), No. 6, pp. 63–67, DOI: 10.7868/S0002188118060078.
13. Frid A.S., Borisochkina T.I., Ispol'zovanie maloparametricheskikh dinamicheskikh modelei dlya opisaniya migratsii tyazhelykh metallov po pochvennomu profilyu razlichnykh landshaftov (Use of parameter-reduced dynamic models to describe the migration of heavy metals in the soil profile of various landscapes), In: Novye metody i rezul'taty issledovanii landshaftov v Evrope, Tsentral'noi Azii i Sibiri (Novel methods and results of landscape research in Europe, Central Asia and Siberia (in five volumes)), Vol. 3 Landscape monitoring and modelling, Moscow: VNIIA, 2018 (g), pp. 315– 318, DOI: 10.25680/1287.2018.88.21.259.
14. Condie K.C., Chemical-composition and evolution of the upper continental-crust – contrasting results from surface samples and shales, Chem. Geol. 1993, Vol. 104 (1–4), pp. 1–37.
15. Frid A.S., Migration models of Cu, Zn, and Cd in soils under irrigation with urban wastewater, Biogenic-abiogenic interactions in natural and anthropogenic systems, Lecture Notes in Earth System Sciences, Springer, Cham, 2016, pp. 157–163, DOI: 10.1007/978-3-319-24987-2_13.
16. Yuan Y., Xiang M., Liu C., Theng B.K.G., Geochemical characteristics of heavy metal contamination induced by a sudden wastewater discharge from a smelter, J. of Geochemical Exploration, 2017, Vol. 176, pp. 33–41.
Review
For citations:
Frid A.S., Borisochkina T.I. PARAMETERS OF MATHEMATICAL MODELS FOR VERTICAL MIGRATION OF HEAVY METALS IN SOILS IN THE AREA OF LEAD AND ANTIMONY PLANT. Dokuchaev Soil Bulletin. 2019;(97):150-164. https://doi.org/10.19047/0136-1694-2019-97-150-164
Views:
1530
Email this article 
