I.G. Sukhodoev, E.V. Kurilova, V.A. Zubarev, E.Ya. Frisman


The paper considers the migration of heavy metals along the riverbed with one reclamation channel. The authors use a simple mathematical model to analyze a distribution of pollutants concentration, including heavy metals, along the river bed in the presence of water discharge from the reclamation zone into the river. A simple method is proposed for estimating the metals concentration reduction intensity along the river runoff. It is assumed that the main parameters affecting the distribution of metals are the speed of water flow and the intensity of metal deposition along the riverbed. The proposed model was used to calculate the concentration of metals along the Uldura River in the Jewish Autonomous region. It was made an assessment of  the metal concentration decrease intensity along the river course when moving away from the reclamation zone. In particular, it was shown that concentration of iron (Fe) reaches its background value at a distance of about 20 km, due to metal deposition along the channel. The authors also made a research based on data processing of the autumn samples from three different sites along the Uldura River which showed strong deviations in the concentration of detected metals in different years of the observed period either to sharp jumps in values or to their falls. This process can be described by a fairly simple model presented in this paper. 

Ключевые слова

water body; heavy metals; concentration; dynamics; mathematical model


REFERENCES:Sukhodoev I.G., Kurilova E.V., Zubarev V.A., Frisman E.Ya. Analysis and modeling of heavy metals distribution along the river course beside the reclaimation zone. Regional’nye problemy, 2023, vol. 26, no. 1, pp. 9–11. (In Russ.). DOI: 10.31433/2618-9593-2023-26-1-9-11.

Alekseev G.V., Vakhitov I.S., Soboleva O.V. Stability Estimates in Identification Problems for the Convection-Diffusion-Reaction Equation. Zhurnal vychislitel’noi matematiki i matematicheskoi fiziki, 2012, vol. 52, no. 12, pp. 2190–2205. (In Russ.).

Astaf’eva L.S. Ekologicheskaya khimiya: uchebnik dlya stud. sred. prof. ucheb. Zavedenii (Ecological chemistry: a textbook for students. avg. prof. textbook institutions). Moscow: Akademiya Publ., 2006. 224 p. (In Russ.).

Bekman I.N. Matematika diffuzii: ucheb. posobie (Mathematics of diffusion: textbook). Moscow: OntoPrint Publ., 2016. 402 p. (In Russ.).

Zubarev V.A. Analysis of Heavy Metal in Bottom Deposits of Small Rivers Effected by Agricultural Reclamation on Sredneamurskaya Lowland. Vestnik Tomskogo gosudarstvennogo universiteta. Biologiya, 2014, no. 4, pp. 6–16. (In Russ.). DOI: 10.17223/19988591/28/1.

Zubarev V.A. Evaluation of Small Rivers Condition in the Drainage Reclamation Areas of Jewish Autonomous Region in Different Flood Periods. Regional’nye problemy, 2015, vol. 18, no. 4, pp. 70–75. (In Russ.).

Zubarev V.A. The Impact of Large-Scale Flooding in 2013 on the Chemical Composition of the Water of the Small Rivers of the Middle Amur Region in the Areas of Amelioration. Voda: khimiya i ekologiya, 2015, no. 3, pp. 3–10. (In Russ.).

Levshina S.I. Iron Distribution in Surface Waters in the Middle and Lower Amur Basin. Vodnye resursy, 2012, vol. 39, no. 4, pp. 377–384. (In Russ.).

Mikhailov S.A. Diffuznoe zagryazneniya vodnykh ekosistem. Metody otsenki i matematicheskie modeli: analit. obzor (Diffuse pollution of aquatic ecosystems. Evaluation methods and mathematical models: an analytical review). Barnaul: Den’ Publ., 2000, 130 p. (In Russ.).

Monitoring kachestva vod: otsenka toksichnosti (Water quality monitoring: toxicity assessment), A.M. Nikanorov, T.A. Khoruzhaya, L.V. Brazhnikova, A.V. Zhulidov. Saint-Petersburg: Gidrometeoizdat Publ., 2001. 159 p. (In Russ.).

Mur Dzh.V. Tyazhelye metally v prirodnykh vodakh: kontrol’ i otsenka vliyaniya: per. s angl. (Heavy Metals in Natural Waters. Applied Monitoring and Impact Assessment), J.W. Moore, S. Ramamoorthi, Moscow: Mir Publ., 1987. 286 p. (In Russ.).

Muratova G.V., Glushanin M.V. Study of Transport, Diffusion and Transformation Processes of Radioactive Admixtures Released Into the Atmosphere During Emergencies at Energy Stations. Vychislitel’nye tekhnologii, 2009, vol. 14, no. 2, pp. 85–97. (In Russ.).

Navodnenie-2013 (Flood-2013). Talakan, 2014. 144 p. (In Russ.).

Papina T.S. Transport i osobennosti raspredeleniya tyazhelykh metallov v ryadu: voda – vzveshennoe veshchestvo – donnye otlozheniya rechnykh ekosistem: analit. obzor (Transport and distribution features of heavy metals in the series: water – suspended matter – bottom sediments of river ecosystems: an analytical review). Novosibirsk, 2001, no. 62, 58 p. (Ser. Ekologiya, no. 62). (In Russ.).

Selezneva A.V. Anthropogenic Load on Rivers by Point Springs of Pollution. Izvestiya Samarskogo nauchnogo tsentra Rossiiskoi akademii nauk, 2003, vol. 5, no. 2, pp. 268–277. (In Russ.).

Smolyakov B.S., Zhigula M.V. Ecological consequences of the transformation of chemical forms of pollutant metals in a real fresh water body. Khimiya v interesakh ustoichivogo razvitiya, 2001, no. 9, pp. 283–291. (In Russ.).

Surits O.V. Deficiency of fluorine, calcium and magnesium in drinking water and its impact on the incidence of the population of the EAO. Extended Abstract of Cand. Sci. (biolog.) Dissertation. Vladivostok, 2009. 23 p. (In Russ.).

Temerev S.V., Galakhov V.P., Plotnikova Yu.E. Input and Distribution of Chemical Load Barnaulka River. Izvestiya Altaiskogo gosudarstvennogo universiteta, 2001, vol. 21, no. 3, pp. 32–37. (In Russ.).

Chudaeva V.A., Shesterkin V.P., Chudaev O.V. Trace Elements in Surface Water in Amur River Basin. Vodnye resursy, 2011, vol. 38, no. 5, pp. 606–617. (In Russ.).

Shulkin V.M. Variability of chemical composition of waters of Primorye rivers as an indicator of anthropogenic load and landscape structure of watersheds. Vestnik DVO RAN, 2009, no 4, pp. 103–114. (In Russ.).

Wood J.M. Biological cycles for toxic elements in the environment. Science, 1974, vol. 183, pp. 1049–1052.


  • Ссылки не определены.