<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">vmait</journal-id><journal-title-group><journal-title xml:lang="ru">Computational Mathematics and Information Technologies</journal-title><trans-title-group xml:lang="en"><trans-title>Computational Mathematics and Information Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2587-8999</issn><publisher><publisher-name>Донской государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.23947/2587-8999-2019-2-2-104-117</article-id><article-id custom-type="elpub" pub-id-type="custom">vmait-58</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Разработка пятнадцатикомпонентной кинетической модели процесса каталитического крекинга</article-title><trans-title-group xml:lang="en"><trans-title>Development of 15-lump kinetic model of the catalytic cracking process</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>Маннанова</surname><given-names>Г. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Mannanova</surname><given-names>Gulshat I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Г.И. Маннанова, аспирант, Институт нефтехимии и катализа УФИЦ РАН (проспект Октября, 141, город Уфа, Республика Башкортостан, Российская Федерация)</p></bio><bio xml:lang="en"><p>Gulshat I. Mannanova, Postgraduate student, Institute of Petrochemistry and Catalysis of RAS, Ufa, Russian Federation (Ufa, pr. Oktyabria, 141, Russia, 450075)</p></bio><email xlink:type="simple">gulshat.islamova.2017@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9848-2882</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Губайдуллин</surname><given-names>И. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Gubaydullin</surname><given-names>Irek M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>И.М. Губайдуллин, доктор физико-математических наук, доцент, профессор кафедры технологии нефти и газа, Уфимский государственный нефтяной технический университет (ул. Космонавтов, 1, Уфа, Российская Федерация).</p></bio><bio xml:lang="en"><p>Irek M. Gubaydullin, Dr.Sci. (Phys.-Math.), associate professor, professor of the Oil and Gas Technology Department, Ufa State Petroleum Technological University (1 Kosmonavtov St., Ufa, Russian Federation).</p></bio><email xlink:type="simple">IrekMars@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт нефтехимии и катализа УФИЦ РАН &#13;
(проспект Октября, 141, город Уфа, Республика Башкортостан, Российская Федерация)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Petrochemistry and Catalysis of RAS, Ufa, Russian Federation &#13;
(Ufa, pr. Oktyabria, 141, Russia, 450075)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Уфимский государственный нефтяной технический университет &#13;
(ул. Космонавтов, 1, Уфа, Российская Федерация)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ufa State Petroleum Technological University &#13;
(1 Kosmonavtov St., Ufa, Russian Federation).</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>28</day><month>03</month><year>2023</year></pub-date><volume>3</volume><issue>2</issue><elocation-id>58</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Маннанова Г.И., Губайдуллин И.М., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Маннанова Г.И., Губайдуллин И.М.</copyright-holder><copyright-holder xml:lang="en">Mannanova G.I., Gubaydullin I.M.</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://www.cmit-journal.ru/jour/article/view/58">https://www.cmit-journal.ru/jour/article/view/58</self-uri><abstract><p>статье приведены этапы разработки и первичные результаты расчета пятнадцатикомпонентной модели каталитического крекинга вакуумного газойля. На основе анализа опубликованных в литературе моделей были выявлены достоинства и недостатки каждой из них, на основе этих данных предложена новая модель, которая позволяет учесть и количественные, и качественные характеристики получаемых продуктов. Первоначальные расчеты показали сходимость новой модели по большинству компонентов, из чего можно сделать вывод, что модель может адекватно описывать химизм процесса каталитического крекинга.</p></abstract><trans-abstract xml:lang="en"><p>The article presents the stages of development and primary results of calculation of the 15-component model of catalytic cracking of gasoil. Based on the analysis of models published in the literature, the advantages and disadvantages of each of them were identified, and on the basis of these data, a new model was proposed that allows taking into account both quantitative and qualitative characteristics of the products obtained. Initial calculations showed the convergence of the new model for most components, from which it can be concluded that the model can adequately describe the mechanism of the catalytic cracking process.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>бензин</kwd><kwd>каталитический крекинг</kwd><kwd>кинетическая модель</kwd><kwd>константа скорости реакции</kwd><kwd>прямая и обратная задача кинетики</kwd><kwd>система дифференциальных уравнений</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Gasoline</kwd><kwd>catalytic cracking</kwd><kwd>kinetic model</kwd><kwd>reaction rate constant</kwd><kwd>direct and inverse kinetics problem</kwd><kwd>system of differential equations</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Koledin, S.N. Information system for sequential analysis of catalytic reactions by mathematical methods / S.N. Koledin, K.F. Koledina, I.M. Gubaydullin, A.F. Mullayanova, S.A. Gabitov // Electrical and information complexes and system. – 2019. – V.15. №1. – P. 79-86.</mixed-citation><mixed-citation xml:lang="en">Behjata, Y. CFD analysis of hydrodynamic, heat transfer and reaction of three phase riser reactor / Y. Behjata, S. Shahhosseinia // Chemical engineering research and design. – №89. – 2011. – P. 978–989.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Yakupov, I.R. Evaluation of light gas oil distillates catalytic cracking as raw materials for Hydrotreating diesel fractions / I.R. Yakupov, V.V. Yurchenko, A.V. Akhmetov, M.U. Imasheva, A.F. Akhmetov // SOCAR Proceedings. – 2015. – №2. – P. 68-72.</mixed-citation><mixed-citation xml:lang="en">Sadeghzadeh, J. A mathematical modeling of the riser reactor in industrial FCC unit / J. Sadeghzadeh, A. Farshi, K. Forsat // Petrol. Coal. – 2008. – Vol. 50 (2) – P. 15–24.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Nurmukhametova, E.R. Research of gasoline catalytic cracking / E.R. Nurmukhametova, A.F. Akhmetov, A.R. Rakhmatullin // The electronic scientific journal Oil and Gas Business. – 2014. – №2. – P. 181-193.</mixed-citation><mixed-citation xml:lang="en">Kang, X. An Introduction to the lump kinetics model and reaction mechanism of FCC gasoline / X. Kang, X. Guo // Energy Sources. – Part A, 35:1921–1928. – 2013. – P. 343-358.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Akhmetov, A.F. Chromato-mass spectrometric study of the composition of light catalytic gas oil of catalytic cracking/ A.F. Akhmetov, M.U. Imasheva, L.F. Korzhova // Bashkir chemical journal. – 2014. – V.21. №1. – P. 82-86.</mixed-citation><mixed-citation xml:lang="en">Akhmetov, A.F. Octane number of mixing of aromatic hydrocarbons in gasoline / A.F. Akhmetov, A.R. Gaysina, A.V. Gantsev, D.V. Gantsev // Oil and Gas Business. – 2011. – V.9. №3. – P. 105-107.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Dezortsev, S.V. On the connection of standard characteristics of bitumen obtained by oxidation of oil tar with the addition of heavy gas oil of catalytic cracking / S.V. Dezortsev, A.M. Petrov, R.N. Fa-mutdinov, A.G. Faskhutdinov, E.G. Telyashev, A.F. Akhmetov, R.M. Galiyev // Bashkir chemical journal. – 2016. – V.23. №2. – P. 88-95.</mixed-citation><mixed-citation xml:lang="en">Akhmetov, A.F. Production of fuels with improved environmental properties / A.F. Akhmetov, Yu.V. Krasil'nikova, A.V. Gantsev // Bashkir chemical journal. – 2009. – V.16. №2. – P. 160-164.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Lipin, P.V. Investigation of transformations of individual hydrocarbons and hydrocarbon mixtures on biceolite catalysts of deep catalytic cracking – abstract of the dissertation for the degree of candidate of technical Sciences. Omsk: polygraphic centre of RAS. – 2013. – 19 p.</mixed-citation><mixed-citation xml:lang="en">Barbosa, A.C. Three dimensional simulation of catalytic cracking reactions in an industrial scale riser using a 11-lump kinetic / A.C. Barbosa, G.C. Lopes // Chemical engineering transactions. – Vol. 32. – 2013. – P.637 – 642.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Galimov, Zh.F. Formation and composition of butane-butylene fraction during high-temperature catalytic cracking of vacuum gas oil in an Elevator reactor / Zh.F. Galimov, M.Kh. Gazizov, N.V. Belashov // News of higher educational institutions. Oil and gas. – №1. – 2001. – P. 92-96.</mixed-citation><mixed-citation xml:lang="en">Zhang, Numerical simulation on catalytic cracking reaction in two-stage riser reactors // China University of Petroleum. – Beijing, China. – 2005. – P.129-153.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Sedgkhi, R.B.F. Preparation of propylene and light olefins in the process of catalytic cracking of vacuum distillate – abstract of the dissertation for the degree of candidate of chemical Sciences. M.: «VP24» LLC. – 2013. – 23 p.</mixed-citation><mixed-citation xml:lang="en">Islamova, G.I. Review and analysis of mathematical model of the catalytic cracking process / G.I. Islamova, I.M. Gubaydullin // Marchuk Scientific Readings-2019 ‒ Novosibirsk: IPTS NGU, 2019. – P. 126-127.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Matuzov, G.L. Ways of production of automobile gasoline with improved environmental properties / G.L. Matuzov, A.F. Akhmetov // Bashkir chemical journal. – 2007. – V.14. №2. – P. 121-125.</mixed-citation><mixed-citation xml:lang="en">Mannanova, G.I. Thirteen-lump kinetic model of the catalytic cracking process / G.I. Mannanova, I.M. Gubaydullin, K.F. Koledina // International Scientific Conference "Ufa Autumn Mathematical School". – 2019. – P. 142 – 144.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Pitault, I. Determination of kinetics constants of catalytic cracking by modeling microactivity test / I. Pitault, M. Forissier, J.R. Bernard // Can. J. Chem. Eng. – 1995. – Vol. 73. – P. 498–504.</mixed-citation><mixed-citation xml:lang="en">Mannanova, G.I. Development of a fourteen-lump kinetic model of catalytic cracking / G.I. Mannanova, I.M. Gubaydullin, G.R. Bikbova G.R. // IX International youth scientific-practical conference «Mathematical modeling of processes and systems». – 2019. – P. 235-240.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Cerqueira, H.S. Mathematical modeling and simulation of catalytic cracking of gasoil in a fixed bed: Coke formation / H.S. Cerqueira, E.C. Biscaia Jr., E.F. Sousa-Agular // Applied Catalysis A: General 164 (1997) 35-45</mixed-citation><mixed-citation xml:lang="en">Ivanchina, E.D. Development of a kinetic model of the catalytic cracking process / E.D. Ivanchina, Ye.N. Ivashkina, G.Yu. Nazarova, V.I. Stebeneva, T.A. Shafran, S.V. Kiseleva, D.V. Khrapov, N.V. Korotkova, R.V. Yesipenko // Catalysis in Industry. – №6. – 2017. – P. 477-486.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Koledina, K.F. Multipurpose optimization of conditions for carrying out a catalytic reaction with a database of target functions / K.F. Koledina, S.N. Koledin, I.M. Gubaydullin // VIII International youth scientific-practical conference «Mathematical modeling of processes and systems». – 2018. – P. 15-18.</mixed-citation><mixed-citation xml:lang="en">Koledina, K.F. Multipurpose optimization of conditions for carrying out a catalytic reaction with a database of target functions / K.F. Koledina, S.N. Koledin, I.M. Gubaydullin // VIII International youth scientific-practical conference «Mathematical modeling of processes and systems». – 2018. – P. 15-18.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Koledin, S.N. Information system for optimizing the rate constants of the catalytic reaction with the choice of parameters / S.N. Koledin, S.A. Gabitov, K.F. Koledina, I.M. Gubaydullin // VIII International youth scientific-practical conference «Mathematical modeling of processes and systems». – 2018. – P. 19-22.</mixed-citation><mixed-citation xml:lang="en">Koledin, S.N. Information system for optimizing the rate constants of the catalytic reaction with the choice of parameters / S.N. Koledin, S.A. Gabitov, K.F. Koledina, I.M. Gubaydullin // VIII International youth scientific-practical conference «Mathematical modeling of processes and systems». – 2018. – P. 19-22.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Akhmetov, I.V. Parallel approach to optimization of chemical processes / I.V. Akhmetov, I.M. Gubaydullin I.M., R.R. Gil'manov // "Parallel computational technologies (PCT) 2019" XIII International scientific conferetion. – 2019. – P. 450.</mixed-citation><mixed-citation xml:lang="en">Akhmetov, I.V. Parallel approach to optimization of chemical processes / I.V. Akhmetov, I.M. Gubaydullin I.M., R.R. Gil'manov // "Parallel computational technologies (PCT) 2019" XIII International scientific conferetion. – 2019. – P. 450.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
