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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">firesmi</journal-id><journal-title-group><journal-title xml:lang="ru">Пожаровзрывобезопасность/Fire and Explosion Safety</journal-title><trans-title-group xml:lang="en"><trans-title>Pozharovzryvobezopasnost/Fire and Explosion Safety</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7493</issn><issn pub-type="epub">2587-6201</issn><publisher><publisher-name>ФГБОУ ВО «Национальный исследовательский Московский государственный строительный университет»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/0869-7493.2026.35.02.21-28</article-id><article-id custom-type="elpub" pub-id-type="custom">firesmi-1625</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>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ, ЧИСЛЕННЫЕ МЕТОДЫ И КОМПЛЕКСЫ ПРОГРАММ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL MODELING, NUMERICAL METHODS AND PROGRAM COMPLEXES</subject></subj-group></article-categories><title-group><article-title>Оценка влияния горючей акустической отделки на динамику опасных факторов пожара в зале с массовым пребыванием людей методом интегрального моделирования</article-title><trans-title-group xml:lang="en"><trans-title>Assessment of the influence of combustible acoustic finishing on the dynamics of fire hazards in a hall with a large number of people by the method of integral modelling</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1427-606X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Еремина</surname><given-names>Т. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Eremina</surname><given-names>T. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ЕРЕМИНА Татьяна Юрьевна, д.т.н., профессор кафедры комплексной безопасности в строительстве</p><p>129337, г. Москва, Ярославское шоссе, 26</p><p>РИНЦ AuthorID: 274777; Scopus: 56893573700</p></bio><bio xml:lang="en"><p>Tatiana Y. EREMINA, Dr. Sci. (Eng.), Professor, Department of Integrated Safety in Construction</p><p>Yaroslavskoe Shosse, 26, Moscow, 129337</p><p>RSCI AuthorID: 274777, Scopus: 56893573700</p></bio><email xlink:type="simple">main@stopfire.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/0000-0002-5916-2931</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Григорьев</surname><given-names>Д. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Grigoriev</surname><given-names>D. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ГРИГОРЬЕВ Денис Викторович, технический директор</p><p>109052, г. Москва, Рязанский пр-т, 13</p></bio><bio xml:lang="en"><p>Denis V. GRIGORIEV, Technical Director</p><p>Ryazansky ave., 13, Moscow, 109052</p></bio><email xlink:type="simple">GrigorievDV@str.mos.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский Московский государственный строительный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow State University of Civil Engineering (National Research University)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Центр экспертиз, исследований и испытаний в строительстве</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Center for Expertise, Research and Testing in Construction</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>30</day><month>04</month><year>2026</year></pub-date><volume>35</volume><issue>2</issue><fpage>21</fpage><lpage>28</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Еремина Т.Ю., Григорьев Д.В., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Еремина Т.Ю., Григорьев Д.В.</copyright-holder><copyright-holder xml:lang="en">Eremina T.Y., Grigoriev D.V.</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.fire-smi.ru/jour/article/view/1625">https://www.fire-smi.ru/jour/article/view/1625</self-uri><abstract><sec><title>Введение</title><p>Введение. Пожары в залах с массовым пребыванием людей характеризуются быстрым распространением опасных факторов, что критически ограничивает время для спасения людей. Особую угрозу представляет применение горючей акустической отделки, существенно ускоряющей развитие пожара.</p></sec><sec><title>Цели и задачи</title><p>Цели и задачи. Целью исследования является количественная оценка влияния горючих акустических панелей на динамику изменения среднеобъемной температуры, дальности видимости и концентрации монооксида углерода по сравнению с негорючими аналогами (НГ) в помещении объемом 6000 м3. Задачами исследования являются: построение расчетных сценариев пожара для зала объемом 6000 м3 с горючей и негорючей акус­тической отделкой, численное моделирование изменения среднеобъемной температуры, видимости и концентрации оксида углерода с использованием однозонной интегральной модели, а также определение времени достижения критических значений опасных факторов пожара.</p></sec><sec><title>Методы</title><p>Методы. Математическая модель пиролиза формулируется в однозонной постановке на основе уравнений энергетического и материального баланса, которые связывают суммарную тепловую мощность пожара и массовую скорость выгорания отделочных материалов с эволюцией среднеобъемной температуры, задымления и концентрации оксида углерода.</p></sec><sec><title>Результаты и обсуждение</title><p>Результаты и обсуждение. На основе системы дифференциальных уравнений энергетического и материального баланса проведен численный эксперимент для очага мощностью 600 кВт. Установлено, что при наличии сгораемых элементов критические значения температуры (70 °C), видимости (5 м) и оксида углерода (0,116 %) достигаются на 528, 665 и 681-й с соответственно. В сценарии с использованием материалов НГ за расчетный интервал в 1200 с пороги по задымлению и токсичности не превышаются, а критический рост температуры происходит со значительным запаздыванием (на 862-й с).</p></sec><sec><title>Заключение</title><p>Заключение. Использование горючих материалов приводит к блокированию путей эвакуации в интервале от 9 до 12 мин, что недопустимо для объектов с массовым пребыванием людей. Обоснована необходимость жесткого ограничения применения горючих акустических панелей и подтверждена эффективность применения однозонного прогнозирования для ранней стадии проектирования.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. Fires in halls with a large number of people are characterized by the rapid spread of dangerous factors, which critically limits the time to save people. A particular threat is the use of combustible acoustic trim, which significantly accelerates the development of a fire.</p></sec><sec><title>Aims and objectives</title><p>Aims and objectives. The aim of the study is to quantify the effect of combustible acoustic panels on the dynamics of changes in the average volume temperature, range of visibility and concentration of carbon monoxide compared with non-combustible analogues (NA group) in a room with a volume of 6,000 m3. The objectives of the study are: the construction of calculated fire scenarios for a hall with a volume of 6,000 m3 with combustible and non-combustible acoustic finishes, numerical modelling of changes in the average volume temperature, visibility and concentration of carbon monoxide using a single-zone integral model, as well as determining the time to reach critical values of fire hazards.</p></sec><sec><title>Methods</title><p>Methods. The mathematical model of pyrolysis is formulated in a single-zone formulation based on the equations of energy and material balance, which relate the total heat output of a fire and the mass rate of burnout of finishing materials with the evolution of the average volume temperature, smoke and carbon monoxide concentration.</p></sec><sec><title>Results and discussion</title><p>Results and discussion. Based on a system of differential equations of energy and material balance, a numerical experiment was conducted for a 600 kW hearth. It was found that in the presence of combustible elements, the critical values of temperature (70 °C), visibility (5 m), and carbon monoxide (0.116 %) are reached at 528, 665, and 681 seconds, respectively. In the scenario using NA group materials, the smoke and toxicity thresholds are not exceeded during the estimated interval of 1,200 seconds, and the critical temperature rise occurs with a significant delay (at the 862nd second).</p></sec><sec><title>Conclusion</title><p>Conclusion. The use of combustible materials leads to the blocking of escape routes in the range of 9 to 12 minutes, which is unacceptable for facilities with a mass presence of people. The necessity of strict limitation of the use of combustible acoustic panels is substantiated and the effectiveness of the use of single-zone forecasting for the early design stage is confirmed.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>пожарная безопасность</kwd><kwd>прогнозирование развития пожара</kwd><kwd>уравнение баланса</kwd><kwd>эвакуация</kwd><kwd>тепловыделение</kwd><kwd>задымление</kwd><kwd>токсичность</kwd><kwd>зрительные помещения</kwd></kwd-group><kwd-group xml:lang="en"><kwd>fire safety</kwd><kwd>prediction of fire development</kwd><kwd>balance equation</kwd><kwd>evacuation</kwd><kwd>heat generation</kwd><kwd>smoke</kwd><kwd>toxicity</kwd><kwd>auditorium</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">Константинова Н.И., Смирнов Н.В., Зубань А.В., Зубань О.П. 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