UMMC Technical University, Verkhnyaya Pyshma, Russia¹ ; Ural Federal University named after the first President of Russia B. N. Yeltsin, Ekaterinburg, Russia²

S. I. Kholod, Deputy Head of the Chair for Metallurgy^{1, 2}, e-mail: hsi503@yandex.ru

Uralmekhanobr, Ekaterinburg, Russia
V. P. Zhukov, Leading Researcher, Laboratory of Agglomeration and Physical-Mechanical Testing, Doctor of Technical Sciences, Professor, e-mail: zhukov.v.p@mail.ru

Ural Federal University named after the first President of Russia B. N. Yeltsin, Ekaterinburg, Russia

S. V. Mamyachenkov, Head of the Chair for Non-Ferrous Metals Metallurgy, Doctor of Technical Sciences, Professor, e-mail: s.v.mamiachenkov@urfu.ru
V. V. Rogachev, Associate Professor, Chair for Iron and Alloy Metallurgy, Candidate of Technical Sciences, e-mail: v.v.rogachev@urfu.ru

The modern process of anodic melting is characterized by periodicity, high-energy intensity and insufficiently effective regulation of the standard modes of technology. In particular, the end of oxidation and reduction operations is controlled by the method of visual assessment of the surface condition of solid samples, periodically selected spoon samples of the melt. The information obtained in this way does not ensure the reliability and completeness of the stages of oxidation, reduction of the melt, which does not allow prompt control of the melting process, reduces the specific productivity of the process and leads to additional consumption of fuel and energy resources and refractory materials. To find the optimal modes of melt oxidation and reduction operations, a mathematical model for continuously determining the oxygen concentration in a copper melt is proposed, based on the change in the electrical resistance of the metal over time, which changes the value of the physical quantity during the melting process (being evidence of a change in the concentration of impurity elements in the melt), as a result of which it becomes possible to determine the time of completion of the blast supply and to adjust the blowing modes, which will create the prerequisites for reducing the consumption of fuel and energy resources and increasing the productivity of refining. The proposed model for determining the oxygen concentration in the copper smelting pro-cess is quite simple to implement and implement, has satisfactory reproducibility of results, which is of unconditional interest for improving the technology of fire refining of copper.

1. Quiroz Cabascango V. E., Bazhin V. Yu. Combustion optimization in gas burners of reverberatory furnaces during the melting of nickel alloys. Journal of Physics: Conference Series. 2021. Vol. 1728. 012019. DOI: 10.1088/1742-6596/1728/1/012019
2. Sharikov Y. V., Quiroz Cabascango V. E. Mathematical modeling of mass, heat and fluid flow in a reverberatory furnace for melting nickel-containing raw materials. Journal of Physics: Conference Series. 2021. Vol. 1753. 012064. DOI: 10.1088/1742-6596/1753/1/012064
3. Lisienko V. G., Chesnokov Yu. N., Kholod S. I., Rogachev V. V., Kiselev V. V. Device for the production of anode copper. Patent RF, No. 2779418. Applied: 09.12.2021. Published: 06.09.2022. Bulletin No. 25.
4. Davenport W. G., King M., Schlesinger M., Biswas A. K. Extractive metallurgy of copper. 4^th edition. Oxford : Pergamon, 2002.
5. Biswas A. K., Davenport W. G. Extractive metallurgy of copper. 3^th edition. Oxford : Pergamon, 1994.
6. Gerlach J., Herfort P. The rate of oxygen uptake by molten copper. Metall. 1968. Vol. 22, No. 11. pp. 1068–1090.
7. Gerlach J., Schneider N., Wuth W. Oxyden absorption during blowing of molten Cu. Metall. 1972. Vol. 25, No. 11. pp. 1246–1251.
8. Frohne O., Rottmann G., Wuth W. Processing speeds in the pyrometallurgical refining of Cu by the top-blowing process. Metall. 1973. Vol. 27, No. 11. pp. 1112–1117.
9. Zhukov V. P., Mastyugin S. A., Khydyakov I. F. Absorption of oxygen by molten copper during top blowing with steam – air mixtures. Soviet Non-Ferrous Metals Research. 1986. Vol. 14, No. 5. pp. 371–375.
10. Aglitsky V. A. Pyrometallurgical refining of copper. Moscow : Metallurgiya, 1971. 319 p.
11. Zhukov V. P., Skopov G. V., Kholod S. I., Bulatov K. V. Pyrometallurgy of copper : in two books. Moscow : IPR Media, 2023. Book 2. 322 p.
12. Safarov D. D. Kinetics of oxidation of copper-based alloys by a gas phase of variable composition : Dissertation … of Candidate of Chemical Sciences. Sverdlovsk, 1983. 171 p.
13. Belousov A. A., Pastukhov E. A., Aleshina S. N. Effect of temperature and partial pressure of oxygen on the kinetics of oxidation of liquid copper. Rasplavy. 2003. No. 2. pp. 3–6.
14. Martin T., Utigard T. The kinetics and mechanism of molten copper oxidation by top blowing of oxygen. JOM. 2005. Vol. 57. pp. 58–62.
15. Belousov V. V., Klimashin A. A. High-temperature oxidation of copper. Uspekhi khimii. 2013. Vol. 82. Iss. 3. pp. 273–288.
16. Barton R. G., Вrimасоmbе J. K. Influence of surface tensiоn-drivеn flоw оf the kinetics of охуgеn absorption in molten copper. Metallurgical Transactions В. 1977. Vol. 8. pp. 417–427.
17. Lyamkin S. A., Tanutrov I. N., Sviridova M. N. Kinetics of oxidation of molten copper by gas phase oxygen. Rasplavy. 2013. No. 2. pp. 83–89.
18. Avetisyan A. A., Chatilyan A. A., Kharatyan S. L. Kinetic features of the initial stages of high-temperature oxidation of copper. Khimicheskiy zhurnal Armenii. 2013. Vol. 66. No. 3. pp. 407–415.
19. Zhukov V. P., Kholod S. I., Demin A. I., Menshikov V. A. Study of copper oxidation kinetics by differential thermographic analysis. Current trends in the theory and practice of mining and processing mineral and technogenic raw materials: Proceedings of the International scientific and technical conference, November 6–7, 2024. Ekaterinburg : Uralmekhanobr. pp. 284–287.
20. Kumar H., Kumagai S., Kameda T., Saito Y. et al. Highly efficient recovery of high-purity Cu, PVC, and phthalate plasticizer from waste wire harnesses through PVC swelling and rod milling. Reaction Chemistry & Engineering. 2020. Vol. 5, Iss. 9. pp. 1805–1813.
21. Martins T. R., Mrozinski N. S., Bertuol D. A., Tanabe E. H. Recovery of copper and aluminium from coaxial cable wastes using comparative mechanical processes analysis. Environmental Technology. 2021. Vol. 42, No. 20. pp. 3205–3217.
22. Namil Um, Seon-Oh Park, Cheol-Woo Yoon, Tae-Wan Jeon. A pretreatment method for effective utilization of copper product manufacturing waste. Journal of Environmental Chemical Engineering. 2021. Vol. 9, Iss. 4. 105509. DOI: 10.1016/j.jece.2021.105509
23. Dosmukhamedov N. K., Zholdasbay E. E., Nurlan G. B., Kurmanseitov M. B. Influence of impurity metals on the physicochemical properties of ultraclean copper. Mezhdunarodny zhurnal prikladnykh i fundamentalnykh issledovaniy. 2018. No. 1. pp. 25–30.
24. How does resistance change when metals are heated? Available at: https://electrik.info/main/fakty/298-kak-izmeryaetsya-soprotivlenie-pri-nagrevemetallov.html (accessed: 25.03.2025).
25. Lagutin M. B. Visual mathematical statistics: tutorial. Moscow : Laboratoriya znaniy, 2023. 475 p.
26. Frolov A. N. A Brief course in probability theory and mathematical statistics : textbook for universities. 2nd edition, stereotypical. Saint Petersburg : Lan, 2023. 304 p.
27. Classical statistical methods: Student's t-test. Available at: https://r-analytics.blogspot.com/2012/03/t.html (accessed: 25.03.2025).
28. Student’s t-test for independent populations. Available at: https://medstatistic.ru/methods/methods.html (accessed: 25.03.2025).