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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">geores</journal-id><journal-title-group><journal-title xml:lang="ru">Георесурсы</journal-title><trans-title-group xml:lang="en"><trans-title>Georesources</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1608-5043</issn><issn pub-type="epub">1608-5078</issn><publisher><publisher-name>Georesursy LLC</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18599/grs.2025.4.6</article-id><article-id custom-type="elpub" pub-id-type="custom">geores-421</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><subj-group subj-group-type="section-heading" xml:lang="en"><subject>RESEARCH ARTICLES</subject></subj-group></article-categories><title-group><article-title>Продуктивность горизонтальных скважин с многозонным гидроразрывом пласта и способы ее расчета</article-title><trans-title-group xml:lang="en"><trans-title>Productivity of Multi-Stage Hydraulic Fractured Horizontal Wells and Methods for Its Estimation</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3797-1815</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хамидуллин</surname><given-names>М. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Khamidullin</surname><given-names>M. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Марсель Рашитович Хамидуллин – младший научный сотрудник, лаборатория суперкомпьютерного моделирования, Научно-исследовательский центр «Курчатовский институт»; сотрудник, Казанский (Приволжский) федеральный университет</p><p>420008, Казань, ул. Кремлевская, д. 18 </p></bio><bio xml:lang="en"><p>Marsel R. Khamidullin – Junior Research Assistant, National Research Centre “Kurchatov Institute”; Researcher, Kazan (Volga Region) Federal University</p><p>35 Kremlevskya st., Kazan, 420008</p></bio><email xlink:type="simple">marseille.ksu@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7107-2974</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Поташев</surname><given-names>К. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Potashev</surname><given-names>K. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Константин Андреевич Поташев – доктор физ.-мат. наук, зав. кафедрой аэрогидромеханики, Институт математики и механики им. Н. И. Лобачевского, Казанский (Приволжский) федеральный университет</p><p>420008, Казань, ул. Кремлевская, д. 18 </p></bio><bio xml:lang="en"><p>Konstantin A. Potashev – Dr. Sci. (Physics and Mathematics), Associate Professor, Head of the Fluid Mechanics Department at the Lobachevsky Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University</p><p>35 Kremlevskya st., Kazan, 420008</p></bio><email xlink:type="simple">kpotashev@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0003-2670</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мазо</surname><given-names>А. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Mazo</surname><given-names>A. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Бенцианович Мазо – доктор физ.-мат. наук, профессор, Институт математики и механики им. Н. И. Лобачевского</p><p>420008, Казань, ул. Кремлевская, д. 18 </p></bio><bio xml:lang="en"><p>Alexander B. Mazo – Dr. Sci. (Physics and Mathematics), Professor</p><p>35 Kremlevskya st., Kazan, 420008</p></bio><email xlink:type="simple">abmazo1956@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский центр «Курчатовский институт»;&#13;
Казанский (Приволжский) федеральный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Centre “Kurchatov Institute”;&#13;
Kazan (Volga Region) Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Казанский (Приволжский) федеральный университет;&#13;
Казанский государственный энергетический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kazan (Volga Region) Federal University;&#13;
Kazan State Power Engineering University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Казанский (Приволжский) федеральный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kazan (Volga Region) Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>30</day><month>12</month><year>2025</year></pub-date><volume>27</volume><issue>4</issue><fpage>263</fpage><lpage>275</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Хамидуллин М.Р., Поташев К.А., Мазо А.Б., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Хамидуллин М.Р., Поташев К.А., Мазо А.Б.</copyright-holder><copyright-holder xml:lang="en">Khamidullin M.R., Potashev K.A., Mazo A.B.</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.geors.ru/jour/article/view/421">https://www.geors.ru/jour/article/view/421</self-uri><abstract><p>Выполнен многопараметрический количественный анализ продуктивности горизонтальных скважин с многозонным гидравлическим разрывом пласта в режиме установившегося притока на основе высокоточного численного решения трехмерной задачи на подробной конечно-объемной сетке. Выявлены условия целесообразности выполнения многозонного гидроразрыва пласта и взаимосвязь основных параметров системы для достижения заданного уровня продуктивности скважины. Предложена аналитическая запись приближенного критерия, когда приток к стволу скважины пренебрежимо мал по сравнению с притоком к трещинам гидроразрыва. оценена точность и определены пределы применимости наиболее обоснованных упрощенных аналитических моделей расчета продуктивности.</p></abstract><trans-abstract xml:lang="en"><p>A multi-parameter quantitative analysis of horizontal well productivity with multistage hydraulic fracturing under steady-state flow conditions was performed, based on a high-precision numerical solution of the 3D problem on a detailed finite-volume grid. The conditions justifying the application of multistage fracturing were identified along with the interrelationship of the main system parameters to achieve a target well productivity level. An analytical expression for an approximate criterion was proposed for the case when the inflow to the wellbore is negligible compared to that to the hydraulic fractures. The accuracy and limits of applicability of the most substantiated simplified analytical models for productivity calculation were evaluated.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>горизонтальные скважины</kwd><kwd>многозонный гидроразрыв пласта</kwd><kwd>установившаяся фильтрация</kwd><kwd>продуктивность скважин</kwd><kwd>аналитические модели</kwd><kwd>численное моделирование</kwd><kwd>эмпирические формулы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>horizontal wells</kwd><kwd>multistage hydraulic fracturing</kwd><kwd>steady-state flow</kwd><kwd>well productivity</kwd><kwd>analytical models</kwd><kwd>numerical simulation</kwd><kwd>empirical formulas</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Научно-исследовательского центра "Курчатовский институт" в рамках государственного задания FNEF-2024-0016</funding-statement><funding-statement xml:lang="en">Scientific Research Center “Kurchatov Institute” within the framework of the government assignment (project no. 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