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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">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">10.23947/2587-8999-2023-7-3-20-27</article-id><article-id custom-type="elpub" pub-id-type="custom">vmait-115</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>Computational Mathematics (Вычислительная математика)</subject></subj-group></article-categories><title-group><article-title>Применение модификации сеточно-характеристического метода с использованием наложенных сеток для явного выделения границы раздела сред при моделировании рельефа океанического шельфа</article-title><trans-title-group xml:lang="en"><trans-title>Application of a Modification of the Grid-Characteristic Method using Overset Grids for Explicit Interface Description to Modelling the Relief of the Ocean Shelf</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>Стецюк</surname><given-names>В. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Stetsyuk</surname><given-names>V. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ассистент</p><p>г. Москва, ул. Керченская, 1А, корп. 1</p></bio><bio xml:lang="en"><p>Assistant</p><p>1A, build 1, Kerchenskaya St., Moscow</p></bio><email xlink:type="simple">stetsyuk@phystech.edu</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский физико-технический институт  (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Institute of Physics and Technology (National Research University)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>06</day><month>10</month><year>2023</year></pub-date><volume>7</volume><issue>3</issue><fpage>20</fpage><lpage>27</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Стецюк В.О., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Стецюк В.О.</copyright-holder><copyright-holder xml:lang="en">Stetsyuk V.O.</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/115">https://www.cmit-journal.ru/jour/article/view/115</self-uri><abstract><sec><title>Введение</title><p>Введение. Задача моделирования распространения упругих волн имеет большое практическое значение при проведении сейсморазведки, поскольку на ее основе выполняется построение модели исследуемой среды. При этом качество построенной модели определяется точностью решения задачи моделирования, что обеспечивает постоянно возрастающие требования к точности моделирования. Для точного моделирования важно корректно описывать и учитывать границы раздела сред. При этом важным фактором остается ресурсоемкость используемого метода моделирования, поскольку использование менее ресурсоемких методов позволяет выполнить больше итераций расчета для инверсии или использовать сетки с меньшим шагом для повышения точности.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. В данной работе рассматривается модификация сеточно-характеристического метода на прямоугольных сетках, использующая наложенные сетки для описания границы раздела сред сложной формы. Данный подход ранее использовался для описания поверхности земли при проведении моделирования на суше. В данной работе описывается его применение при моделировании рельефа океанического шельфа.</p></sec><sec><title>Результаты исследования</title><p> Результаты исследования. Использование наложенной сетки позволяет уменьшить погрешность моделирования, количество паразитных волн и артефактов и получить более наглядную картину.</p></sec><sec><title>Обсуждение и заключения</title><p> Обсуждение и заключения. Наложенные сетки могут быть применены для описания границы раздела сред при моделировании сейсморазведки океанического шельфа. Их использование позволяет повысить точность моделирования и снизить количество артефактов по сравнению с использованием только одной сетки.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The problem of modelling the propagation of elastic waves is of great practical importance when conducting seismic exploration. Based on it, a model of the environment under study is being built. At the same time, the quality of the constructed model is determined by the accuracy of solving the modelling problem, which ensures constantly increasing requirements for modelling accuracy. For accurate modelling, it is important to correctly describe and take into account the boundaries of the media. At the same time, the quality of the constructed model is determined by the accuracy of solving the modelling problem, which ensures constantly increasing requirements for modelling accuracy.</p></sec><sec><title>Materials and Methods</title><p>Materials and Methods. We have studied a modification of the grid-characteristic method on rectangular grids using overset grids to describe the interface of media of complex shape. This approach has previously been used to describe the earth’s surface when conducting simulations on land. This paper describes its application in modelling the relief of the ocean shelf.</p></sec><sec><title>Results</title><p>Results. The use of the overset grid reduces the modelling error, the number of parasitic waves and artifacts and makes it possible to get a more visual picture.</p><p>Discussion and Conclusions. Overset grids can be used to describe the interface of media in modelling seismic exploration of the ocean shelf. Their use makes it possible to increase the accuracy of modelling and reduce the number of artifacts compared to using only one grid.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>сеточно-характеристический метод</kwd><kwd>метод наложенных сеток</kwd><kwd>метод сеток-химер</kwd><kwd>шельфовая сейсморазведка</kwd></kwd-group><kwd-group xml:lang="en"><kwd>grid-characteristic method</kwd><kwd>overset grid</kwd><kwd>chimera grid</kwd><kwd>shelf seismic exploration</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">работа выполнена при финансовой поддержке Российского научного фонда (проект № 21-11-00139).</funding-statement><funding-statement xml:lang="en">This work was funded by Russian Scientific Foundation (project no. 21-11-00139).</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">Zienkiewicz O.C., Taylor R.L., Robert L., et al. 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