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<!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">geophystech</journal-id><journal-title-group><journal-title xml:lang="ru">Геофизические технологии</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Journal of Geophysical Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2619-1563</issn><publisher><publisher-name>IPGG SB RAS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18303/2619-1563-2023-1-54</article-id><article-id custom-type="elpub" pub-id-type="custom">geophystech-283</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>Применение машинного обучения для адаптивного вычитания кратных отраженных волн</article-title><trans-title-group xml:lang="en"><trans-title>Application of machine learning for adaptive subtraction of multiple reflected waves</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>Камашев</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Kamashev</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сотрудник лаборатории динамических проблем Института нефтегазовой геологии и геофизики СО РАН. Основные научные интересы: разложение сейсмических изображений по волновым пакетам, методы подавления кратных отраженных волн, методы решения прямой задачи сейсморазведки.</p></bio><email xlink:type="simple">a.kamashev@g.nsu.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/0000-0002-7876-6685</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дучков</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Duchkov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кандидат физико-математических наук, заведующий лабораторией динамических проблем сейсмики, заместитель директора по научной работе Института нефтегазовой геологии и геофизики СО РАН. Основные научные интересы: cейсмическая миграция; регуляризация сейсмических данных с помощью Гауссовских волновых пакетов, микросейсмический мониторинг гидроразрыва.</p></bio><email xlink:type="simple">DuchkovAA@ipgg.sbras.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Институт нефтегазовой геологии и геофизики им. А.А. Трофимука СО РАН&lt;br&gt;&#13;
630090, Новосибирск, просп. Акад. Коптюга, 3&#13;
&lt;br&gt;&lt;br&gt;&#13;
Новосибирский государственный университет&lt;br&gt;&#13;
630090, Новосибирск, ул. Пирогова, 1<country>Россия</country></aff><aff xml:lang="en">Trofimuk Institute of Petroleum Geology and Geophysics SB RAS&lt;br&gt;&#13;
Koptyug Ave., 3, Novosibirsk, 630090&#13;
&lt;br&gt;&lt;br&gt;&#13;
Novosibirsk State University&lt;br&gt;&#13;
Pirogova Str., 1, Novosibirsk, 630090<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>26</day><month>05</month><year>2023</year></pub-date><volume>0</volume><issue>1</issue><fpage>54</fpage><lpage>65</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Камашев А.М., Дучков А.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Камашев А.М., Дучков А.А.</copyright-holder><copyright-holder xml:lang="en">Kamashev A.M., Duchkov A.A.</copyright-holder><license 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.rjgt.ru/jour/article/view/283">https://www.rjgt.ru/jour/article/view/283</self-uri><abstract><p>Данная работа посвящена разработке и тестированию алгоритма адаптивного вычитания кратных отраженных волн с помощью сверточной нейронной сети. Алгоритм является одним из основных этапов в методе подавления кратных отраженных волн, основанном на разделении волновых форм в области Радона. В работе рассматривается постановка задачи для нейронной сети, подготовка обучающего и тестового наборов данных и тестирование алгоритма. Использование сверточной нейронной сети позволяет автоматизировать и ускорить процедуру адаптивного вычитания. Тестирование алгоритма проводилось на синтетических данных и показало эффективную адаптацию кратных волн, а также важность корректного построения модели кратных отраженных волн.</p></abstract><trans-abstract xml:lang="en"><p>This work is devoted to the development and testing of an algorithm for adaptive subtraction of multiple reflected waves using a convolutional neural network. The algorithm is one of the main steps in the method of suppression of multiple reflected waves based on the separation of wave forms in the Radon region. The paper considers the formulation of a problem for a neural network, the preparation of training and test data sets and the testing of the algorithm. Using a convolutional neural network allows to automate and speed up the adaptive subtraction procedure. The algorithm was tested on synthetic data. Testing shows the effective adaptation of multiple waves, as well as the importance of correctly constructing a model of multiples.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Сверточная нейронная сеть</kwd><kwd>высокоразрешающее преобразование Радона</kwd><kwd>кратные волны</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Сonvolution neural network</kwd><kwd>high-resolution Radon transform</kwd><kwd>multiple waves</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Разработка алгоритма адаптивного вычитания кратных отраженных волн осуществлялась при поддержке исследовательского проекта FSUS-2022-0019. Тестирование работы алгоритма осуществлялось при поддержке исследовательского проекта FWZZ-2022-0017.</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">Боганик Г.Н., Гурвич И.И. Сейсморазведка. – Тверь: АИС, 2006. – 743 с</mixed-citation><mixed-citation xml:lang="en">Boganik G.N., Gurvich I.I. Seismic prospecting [in Russian]. – AIS, Tver, 2006. – 743 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Никитин В.В., Дучков А.А., Романенко А.А., Андерссон Ф. Параллельный алгоритм разложения функций по волновым пакетам для GPU и его применение в геофизике // Вестник НГУ. Серия: Информационные технологии. – 2013. – № 11 (1). – С. 93–104.</mixed-citation><mixed-citation xml:lang="en">Nikitin V.V., Duchkov A.A., Romanenko A.A., Andersson F. 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