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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">22442</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Modeling and Simulation</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Математическое моделирование</subject></subj-group><subj-group subj-group-type="article-type"><subject></subject></subj-group></article-categories><title-group><article-title xml:lang="en">Simulation of a Gas-condensate Mixture Passing through&#13;
a Porous Medium in Depletion Mode</article-title><trans-title-group xml:lang="ru"><trans-title>Моделирование прохождения газоконденсатной смеси через пористую среду в режиме истощения</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="scopus">56505574900</contrib-id><name-alternatives><name xml:lang="en"><surname>Volokhova</surname><given-names>Alina</given-names></name><name xml:lang="ru"><surname>Волохова</surname><given-names>Алина Викторовна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Junior researcher of the laboratory of information technologies</p></bio><bio xml:lang="ru"><p>младший научный сотрудник лаборатории информационных технологий</p></bio><email>bskr@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Zemlyanaya</surname><given-names>Elena</given-names></name><name xml:lang="ru"><surname>Земляная</surname><given-names>Елена Валериевна</given-names></name></name-alternatives><email>elena@jinr.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kachalov,</surname><given-names>Viktor</given-names></name><name xml:lang="ru"><surname>Качалов</surname><given-names>Виктор Владимирович</given-names></name></name-alternatives><email>ongk@mail.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Rikhvitsky</surname><given-names>Victor</given-names></name><name xml:lang="ru"><surname>Рихвицкий</surname><given-names>Виктор Сергеевич</given-names></name></name-alternatives><email>rqvtsk@jinr.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sokotuschenko</surname><given-names>Vadim</given-names></name><name xml:lang="ru"><surname>Сокотущенко</surname><given-names>Вадим Николаевич</given-names></name></name-alternatives><email>sokotushenko@mail.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Joint Institute for nuclear research</institution></aff><aff><institution xml:lang="ru">Объединенный институт ядерных исследований</institution></aff></aff-alternatives><aff id="aff2"><institution></institution></aff><pub-date date-type="pub" iso-8601-date="2019-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2019</year></pub-date><volume>27</volume><issue>3</issue><issue-title xml:lang="en">VOL 27, NO3 (2019)</issue-title><issue-title xml:lang="ru">ТОМ 27, №3 (2019)</issue-title><history><date date-type="received" iso-8601-date="2019-12-13"><day>13</day><month>12</month><year>2019</year></date><date date-type="accepted" iso-8601-date="2019-12-16"><day>16</day><month>12</month><year>2019</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2021, Volokhova A., Zemlyanaya E., Kachalov, V., Rikhvitsky V., Sokotuschenko V.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2021, Волохова А.В., Земляная Е.В., Качалов В.В., Рихвицкий В.С., Сокотущенко В.Н.</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="en">Volokhova A., Zemlyanaya E., Kachalov, V., Rikhvitsky V., Sokotuschenko V.</copyright-holder><copyright-holder xml:lang="ru">Волохова А.В., Земляная Е.В., Качалов В.В., Рихвицкий В.С., Сокотущенко В.Н.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/22442">https://journals.rudn.ru/miph/article/view/22442</self-uri><abstract xml:lang="en"><p>Objective: one of the important tasks in the development of gas condensate fields is to minimize the loss of recoverable hydrocarbons arising from the condensation of gas in the pores of the formation. The search for optimal modes of gas production is carried out both on the basis of laboratory experiments and on the basis of computer modeling. In this regard, the relevant verification of the constructed mathematical models based on comparison of computed data with data obtained in experiments on the laboratory model of the reservoir.</p>&#13;
<p>Methods: to simulate the passage of a multicomponent gas-condensate mixture through a porous medium in the depletion mode, an initial boundary value problem for a system of nonlinear partial differential equations is formulated. Its numerical solution is implemented on the basis of a combined application of C++ and Maple.</p>&#13;
<p>Results: in the framework of the classical approach based on Darcy's law and the law of continuity of flows, a model describing the passage of a multicomponent gas-condensate mixture through a porous medium in the depletion mode is formulated. It is shown that the approach used provides quantitative agreement of the obtained numerical results with experimental data on the dynamics of hydrocarbon recoverability depending on pressure obtained at VNIIGAZ (Ukhta).</p>&#13;
<p>Conclusions: the effectiveness of the developed approach and the possibility of its further use was Confirmed.</p></abstract><trans-abstract xml:lang="ru"><p class="western"><bold>Цель</bold>: Одной из важных задач при разработке газоконденсатных месторождений является минимизация потерь извлекаемых углеводородов, возникающих из-за конденсации газа в порах пласта. Поиск оптимальных режимов газодобычи производится как на основе лабораторных экспериментов, так и на основе компьютерного моделирования. В этой связи актуальность приобретает верификация построенных математических моделей на основе сопоставления расчетных данных с данными, полученными в ходе экспериментов на лабораторной модели пласта.</p>&#13;
<p class="western"> </p>&#13;
<p class="western"><bold>Методы</bold>: Для моделирования прохождения многокомпонентной газоконденсатной смеси через пористую среду в режиме истощения формулируется начально-граничная задача для системы нелинейных уравнений в частных производных. Ее численное решение реализовано на основе комбинированного применения С++ и <span lang="en-US">Maple</span>.</p>&#13;
<p class="western"> </p>&#13;
<p class="western"><bold>Результаты</bold>: В рамках классического подхода, основанного на законе Дарси и законе неразрывности потоков сформулирована модель, описывающая прохождение многокомпонентной газоконденсатной смеси через пористую среду в режиме истощения. Показано, что используемый подход обеспечивает количественное согласие полученных численных результатов с экспериментальными данными по динамике извлекаемости углеводородов в зависимости от давления, полученными в ВНИИГАЗ (Ухта).</p>&#13;
<p class="western"> </p>&#13;
<p class="western"><bold>Выводы: </bold><span style="font-family: F17, serif;">Подтвердилась эффективность разработанного подхода и возможность его дальнейшего использования.</span></p></trans-abstract><kwd-group xml:lang="en"><kwd>computer simulations</kwd><kwd>multicomponent hydrocarbon&#13;
system</kwd><kwd>nonlinear partial dierential equations</kwd><kwd>nite dierence approximation</kwd><kwd>passing of gaz-condensate mixture through a porous medium</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>компьютерное моделирование</kwd><kwd>многокомпонентная система углеводородов</kwd><kwd>нелинейные дифференциальные уравнения в частных производных</kwd><kwd>конечная разностная аппроксимация</kwd><kwd>прохождение газоконденсатной смеси через пористую среду</kwd></kwd-group><funding-group><funding-statement xml:lang="en">Russian Foundation for Basic Research&#13;
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