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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cvmet</journal-id><journal-title-group><journal-title xml:lang="ru">Известия вузов. Цветная металлургия</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya. Non-Ferrous Metallurgy</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0021-3438</issn><issn pub-type="epub">2412-8783</issn><publisher><publisher-name>НИТУ МИСИС</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/0021-3438-2021-5-4-12</article-id><article-id custom-type="elpub" pub-id-type="custom">cvmet-1283</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Обогащение руд цветных металлов</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Mineral Processing of Non-Ferrous Metals</subject></subj-group></article-categories><title-group><article-title>Комплексная оценка флотационных реагентов по их влиянию на потери металлов и селективность флотации</article-title><trans-title-group xml:lang="en"><trans-title>Comprehensive assessment of flotation reagents by their influence on metal losses and flotation selectivity</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Брагин</surname><given-names>В. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Bragin</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Брагин В.И. – докт. техн. наук, проф., зав. кафедрой обогащения полезных ископаемых Института цветных металлов и металловедения (ИЦМиМ); вед. науч. сотр. Института химии и химической технологии (ИХХТ) СО РАН</p><p>660025, г. Красноярск, пр. Красноярский рабочий, 95</p><p>660036, г. Красноярск, Академгородок, 50/24</p></bio><bio xml:lang="en"><p>Dr. Sci. (Eng.), prof., head of the Department of mineral processing of the School of Non-Ferrous Metals and Material Science; leading researcher of the Institute of Chemistry and Chemical Technology of the Siberian Branch of the Russian Academy of Sciences (ICCT SB RAS)</p><p>660025, Russia, Krasnoyarsk, pr. Krasnoyarskii rabochii, 95</p><p>660036, Russia, Krasnoyarsk, Akademgorodok, 50/24</p></bio><email xlink:type="simple">vic.bragin@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бурдакова</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Burdakova</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бурдакова Е.А. – канд. техн. наук, доцент кафедры обогащения полезных ископаемых ИЦМиМ; науч. сотр. ИХХТ СО РАН</p><p>660025, г. Красноярск, пр. Красноярский рабочий, 95</p><p>660036, г. Красноярск, Академгородок, 50/24</p></bio><bio xml:lang="en"><p>Cand. Sci. (Eng.), associate prof. of the Department of mineral processing, SNFMMS; researcher of the ICCT SB RAS</p><p>660025, Russia, Krasnoyarsk, pr. Krasnoyarskii rabochii, 95</p><p>660036, Russia, Krasnoyarsk, Akademgorodok, 50/24</p></bio><email xlink:type="simple">kate-groo@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Усманова</surname><given-names>Н. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Usmanova</surname><given-names>N. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Усманова Н.Ф. – канд. техн. наук, науч. сотр. ИХХТ СО РАН; доцент кафедры обогащения полезныхископаемых ИЦМиМ</p><p>660036, г. Красноярск, Академгородок, 50/24</p><p>660025, г. Красноярск, пр. Красноярский рабочий, 95</p></bio><bio xml:lang="en"><p>Cand. Sci. (Eng.), researcher of the ICCT SB RAS; associate prof. of the Department of mineral processing, SNFMMS</p><p>660036, Russia, Krasnoyarsk, Akademgorodok, 50/24</p><p>660025, Russia, Krasnoyarsk, pr. Krasnoyarskii rabochii, 95</p></bio><email xlink:type="simple">usmanowa.natalia@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кинякин</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Kinyakin</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кинякин А.И. – аспирант кафедры обогащения полезных ископаемых ИЦМиМ</p><p>660025, г. Красноярск, пр. Красноярский рабочий, 95</p></bio><bio xml:lang="en"><p>postgraduate student of the Department of mineral processing, SNFMMS</p><p>660025, Russia, Krasnoyarsk, pr. Krasnoyarskii rabochii, 95</p></bio><email xlink:type="simple">mrak81083@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Сибирский федеральный университет (СФУ); Институт химии и химической технологии (ИХХТ) СО РАН Федерального исследовательского центра «Красноярский научный центр» (ФИЦ КНЦ) СО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Siberian Federal University; Institute of Chemistry and Chemical Technology of the Siberian Branch of the Russian Academy of Sciences of Federal Research Center «Krasnoyarsk Science Center» of the SB RAS</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт химии и химической технологии (ИХХТ) СО РАН&#13;
Федерального исследовательского центра «Красноярский научный центр» (ФИЦ КНЦ) СО РАН; Сибирский федеральный университет (СФУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Chemistry and Chemical Technology of the Siberian Branch of the Russian Academy of Sciences of Federal Research Center «Krasnoyarsk Science Center» of the SB RAS; Siberian Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Сибирский федеральный университет (СФУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Siberian Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>28</day><month>10</month><year>2021</year></pub-date><volume>27</volume><issue>5</issue><fpage>4</fpage><lpage>12</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Брагин В.И., Бурдакова Е.А., Усманова Н.Ф., Кинякин А.И., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Брагин В.И., Бурдакова Е.А., Усманова Н.Ф., Кинякин А.И.</copyright-holder><copyright-holder xml:lang="en">Bragin V.I., Burdakova E.A., Usmanova N.F., Kinyakin A.I.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://cvmet.misis.ru/jour/article/view/1283">https://cvmet.misis.ru/jour/article/view/1283</self-uri><abstract><p>Предложен метод быстрой оценки средней флотируемости минералов по данным кинетического опыта, без нахождения спектра флотируемости, при котором первые моменты распределения вычисляются по коэффициентам полиномиальной аппроксимации логарифмической формы кинетики. На примере медно-никелевой руды показано, что применение этого метода эффективно в многопараметрической задаче сравнительной оценки реагентов. Оцениваемые параметры (их 10) включали среднюю флотируемость целевых минералов (халькопирита и пентландита), пирротина и породы; коэффициенты селективности флотации целевых минералов относительно пирротина и породы; уровни потерь меди и никеля с хвостами коллективной флотации. Наглядное представление взаимозависимостей параметров достигается использованием диаграмм, отображающих влияние флотационных реагентов на группы параметров: среднюю флотируемость, коэффициенты селективности, потери металлов и селективность относительно породы. Определено влияние бутилового ксантогената, аэрофлота, дизельного топлива, а также депрессоров пустой породы – карбоксиметилцеллюлозы (КМЦ) и подкисленного жидкого стекла (при суммарном расходе собирателей – 130 г/т, дизельного топлива – 5–10 г/т, КМЦ – 200 г/т, жидкого стекла – 500 г/т) на оцениваемые параметры в условиях коллективной флотации. Установлено, что добавки аэрофлота и дизельного топлива к основному реагенту- собирателю – ксантогенату – повышают селективность флотации пентландита и халькопирита относительно пирротина и породообразующей составляющей. Введение в реагентный режим подкисленного жидкого стекла увеличивает селективность флотации сульфидов никеля и меди относительно породы. Добавки КМЦ ухудшают селективность флотации меди. Количественные эффекты каждого отдельного параметра учтены в интегральной рейтинговой оценке перспективности применения сочетаний реагентов для медно-никелевой руды по совокупности 10 параметров. Предложенный метод может быть в дальнейшем использован при массовой сравнительной оценке флотационных реагентов.</p></abstract><trans-abstract xml:lang="en"><p>The paper proposes a method for quick estimation of the average floatability of minerals according to the kinetic experiment, without finding the flotation spectrum where first moments of distribution are calculated by the coefficients of the polynomial approximation of the kinetic curve in the logarithmic form. An example of copper-nickel ore demonstrated that this method is effective in the multiparameter problem of comparative assessment of reagents. The ten parameters assessed included the average floatability of target minerals (chalcopyrite and pentlandite), pyrrhotite and rock; flotation selectivity coefficients of target minerals relative to pyrrhotite and rock; levels of copper and nickel losses with bulk flotation tailings. Interdependencies of parameters were visualized using diagrams showing the effect of flotation reagents on the groups of parameters: average floatability, selectivity coefficients, metal losses and selectivity relative to rock. The influence of butyl xanthate, aerofloat, diesel fuel, as well as gangue depressants – carboxymethyl cellulose (CMC) and acidified water glass (with a total consumption of collectors, diesel fuel, acidified water glass and CMC of 130 g/t, 5–10 g/t, 200 g/t, and 500 g/t, respectively) on the estimated parameters under collective flotation conditions was determined. It was found that the addition of aerofloat and diesel fuel to the main reagent collector – xanthate – increases the flotation selectivity of pentlandite and chalcopyrite relative to pyrrhotite and rock-forming component. The introduction of acidified water glass into the reagent scheme increases the flotation selectivity of nickel and copper sulfides relative to the rock. CMC additives impair the selectivity of copper flotation. The quantitative effects of each individual parameter were taken into account in the integral rating assessment of the prospects of using reagent combinations for copper-nickel ore by a set of ten parameters. The method proposed can be further used for the mass comparative evaluation of flotation reagents.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>кинетика флотации</kwd><kwd>спектр флотируемости</kwd><kwd>моменты распределения</kwd><kwd>преобразование Лапласа</kwd><kwd>полиномиальная аппроксимация</kwd><kwd>коэффициенты селективности флотации</kwd><kwd>медно-никелевые руды</kwd></kwd-group><kwd-group xml:lang="en"><kwd>flotation kinetics</kwd><kwd>flotation spectrum</kwd><kwd>moments of distribution</kwd><kwd>Laplace transformation</kwd><kwd>polynomial approximation</kwd><kwd>flotation selectivity coefficients</kwd><kwd>copper-nickel ores</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена в рамках проекта № 0287-2021-0014</funding-statement><funding-statement xml:lang="en">The research was conducted under Project № 0287-2021-0014</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ai G., Yang X., Li X. 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