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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.2026.2.3</article-id><article-id custom-type="elpub" pub-id-type="custom">geores-522</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>Метод определения состава пластового газа на основе данных газоконденсатного исследования скважины и оптимизационных алгоритмов</article-title><trans-title-group xml:lang="en"><trans-title>Determining Gas Condensate Composition Using Well Test Data and Optimization Algorithms</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1235-0465</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Старовойтова</surname><given-names>Б. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Starovoytova</surname><given-names>B. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ботагоз Николаевна Старовойтова – кандидат физ.-мат. наук, старший научный сотрудник</p><p>630090, Новосибирск, ул. Пирогова, д. 1</p></bio><bio xml:lang="en"><p>Botagoz N. Starovoytova – PhD (Physics and Mathematics), senior researcher</p><p>1, Pirogova st., Novosibirsk, 630090</p></bio><email xlink:type="simple">b.starovoitova@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/0009-0008-3412-2256</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Имомназаров</surname><given-names>Б. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Imomvazarov</surname><given-names>B. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бунед Холматджонович Имомназаров – младший научный сотрудник</p><p>630090, Новосибирск, ул. Пирогова, д. 1</p></bio><bio xml:lang="en"><p>Buned Kh. Imomnazarov – Junior Researcher</p><p>1, Pirogova st., Novosibirsk, 630090</p></bio><email xlink:type="simple">b.imomnazarov@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/0000-0001-6587-6079</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Байкин</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Baykin</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Николаевич Байкин – кандидат физ.-мат. наук, заведующий лабораторией программных систем оптимизации добычи углеводородов</p><p>630090, Новосибирск, ул. Пирогова, д. 1</p></bio><bio xml:lang="en"><p>Alexey N. Baykin – PhD (Physics and Mathematics), Head of the Laboratory for optimizing hydrocarbon production software systems</p><p>1, Pirogova st., Novosibirsk, 630090</p></bio><email xlink:type="simple">a.baikin@g.nsu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Новосибирский государственный университет; Институт гидродинамики им. М.А. Лаврентьева СО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Novosibirsk State University; Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>23</day><month>06</month><year>2026</year></pub-date><volume>28</volume><issue>2</issue><fpage>186</fpage><lpage>198</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Старовойтова Б.Н., Имомназаров Б.Х., Байкин А.Н., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Старовойтова Б.Н., Имомназаров Б.Х., Байкин А.Н.</copyright-holder><copyright-holder xml:lang="en">Starovoytova B.N., Imomvazarov B.K., Baykin A.N.</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/522">https://www.geors.ru/jour/article/view/522</self-uri><abstract><p>В данной работе предлагается подход с использованием методов оптимизации для определения фактического компонентного состава флюида газоконденсатного месторождения в условиях, когда получение репрезентативных пластовых проб затруднено. Метод включает гидродинамическое моделирование газоконденсатного исследования (ГКИ) скважины, результаты лабораторного анализа нерепрезентативных «обедненных» проб и промысловые данные, включая газоконденсатный фактор (ГКФ). Предполагается, что состав пластового флюида представляет собой линейную комбинацию «бедного» газа и равновесного ему конденсата. Коэффициент пропорциональности (смешивания) получается путем минимизации невязки между наблюдаемыми и расчетными значениями ГКФ, полученными в результате моделирования ГКИ с помощью tNavigator. Рассматриваются два варианта: 1) скалярный параметр, соответствующий смешиванию равновесного газа и конденсата; 2) векторный параметр смешивания, позволяющий выполнять покомпонентную настройку для повышения точности. Для векторного параметра смешивания проводится проверка на соответствие гамма-распределению полученных долей тяжелых компонентов относительно их молекулярной массы. Предложенный подход проверен на синтетическом случае, когда известен фактический состав пластового флюида. Для детальной 34-компонентной PVT-модели «бедной» пробы использование скалярного параметра смешивания позволяет воспроизводить такие ключевые PVT-свойства, как давление начала конденсации и кривую выпадения конденсата, полученных в ходе моделирования CVD эксперимента. Для моделей флюида с уменьшенным количеством компонентов для достижения сопоставимой точности требуется применение векторного параметра смешивания. Для оценки устойчивости к неопределённостям в полевых данных в фактические данные ГКФ вносится гауссовский шум. Численные эксперименты подтверждают надёжность предлагаемого метода, если погрешность зашумлённых данных не превышает 10% относительно фактического ГКФ.</p></abstract><trans-abstract xml:lang="en"><p>This study proposes an optimization-based approach to determine the actual fluid composition of gas condensate reservoirs when obtaining representative samples are impossible. The method incorporates the well tests hydrodynamic modeling, laboratory analyses of non-representative lean samples, and field data, including the gas-condensate ratio (GCR). The reservoir composition is assumed to be a linear combination of lean gas and its equilibrium condensate. The proportionality (mixing) parameter is obtained by minimizing the discrepancy between observed and simulated GCR values obtained using tNavigator. Two variants are considered: 1) a scalar parameter, corresponding to mixing of equilibrium gas and condensate; 2) a vector-valued mixing parameter, permitting per-component adjustment for improved accuracy. For the vector mixing parameter, a check is performed for compliance with the gamma distribution of the obtained heavy component fractions relative to their molecular weight. The approach is verified for a synthetic case with a known reservoir composition. For a detailed 34-component “lean”’ sample model, the scalar parameter approach accurately reproduces key PVT properties such as the dew point pressure and condensate dropout curve from constant-volume depletion tests. Reduced-component fluid models require the vector-valued mixing parameter to achieve comparable accuracy. To evaluate robustness against field uncertainties, Gaussian noise is introduced into the actual GCR data. Numerical experiments confirm that the method remains reliable if the error in noisy data does not exceed 10% relative to actual GCR.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>газоконденсатная залежь</kwd><kwd>состав пластового флюида</kwd><kwd>газоконденсатные исследования скважин</kwd><kwd>бедная проба</kwd><kwd>численная оптимизация</kwd><kwd>NOMAD</kwd><kwd>PSO</kwd><kwd>DE</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Gas condensate reservoir</kwd><kwd>reservoir fluid composition</kwd><kwd>well test</kwd><kwd>lean sample</kwd><kwd>numerical optimization</kwd><kwd>NOMAD</kwd><kwd>PSO</kwd><kwd>DE</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Министерства науки и высшего образования РФ (проект FSUS-2025-0016), Передовой инженерной школы НГУ.</funding-statement><funding-statement xml:lang="en">This work was supported by the Ministry of Science and Higher Education of the Russian Federation (Project No. FSUS-2025-0016), and by the NSU Advanced Engineering School.</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">Брусиловский А., Ющенко Т. (2016). Научно обоснованный инженерный метод определения компонентного состава и PVT свойств пластовых углеводородных смесей при неполной исходной информации. PROНЕФТЬ. Профессионально о нефти, (1), c. 68–74.</mixed-citation><mixed-citation xml:lang="en">Alavian S. A., Whitson C. H., Martinsen S. O. (2014). Global component lumping for eos calculations. SPE annual technical conference and exhibition, Amsterdam, the Netherlands. P. 170912-MS. https://doi.org/10.2118/170912-MS</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Гимазов А.А., Имомназаров Б.Х., Старовойтова Б.Н., Байкин А.Н., Бабин В.М., Хамидуллин Д.Ф., Купоросов Д.Н. (2024). Решение обратной задачи определения начального компонентного состава углеводородов газоконденсатного месторождения по известным промысловым данным. Георесурсы, 26(3), c. 73–86. https://doi.org/10.18599/grs.2024.3.9</mixed-citation><mixed-citation xml:lang="en">API recommended practice for sampling petroleum reservoir fluids (2003). Second ed. N.Y.: API Publishing Services.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Инструкция по комплексным исследованиям газовых и газоконденсатных скважин (2011). Р-Газпром 086-2010. М.: ООО «Газпромэкспо».</mixed-citation><mixed-citation xml:lang="en">Aster R., Borchers B., Thurber C. (2018). Parameter estimation and inverse problems (3rd ed.). Amsterdam: Elsevier. https://doi.org/10.1016/B978-0-12-804651-7.00015-8</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Alavian S. A., Whitson C. H., Martinsen S. O. (2014). Global component lumping for eos calculations. SPE annual technical conference and exhibition, Amsterdam, the Netherlands. P. 170912-MS. https://doi.org/10.2118/170912-MS</mixed-citation><mixed-citation xml:lang="en">Brusilovskiy A., Yushchenko T. (2016). Two-phase deposits: Methodology approach to the identification of composition and pvt properties of reservoir hydrocarbon fluids using limited initial information. PROneft. Professionally about Oil, (1), pp. 68–74. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">API recommended practice for sampling petroleum reservoir fluids (2003). Second ed. N.Y.: API Publishing Services.</mixed-citation><mixed-citation xml:lang="en">Das S., Suganthan P.N. (2011). Differential evolution: A survey of the state-of-the-art. IEEE Transactions on Evolutionary Computation, 15(1), pp. 4–31. https://doi.org/10.1109/TEVC.2010.2059031</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Aster R., Borchers B., Thurber C. (2018). Parameter estimation and inverse problems (3rd ed.). Amsterdam: Elsevier. https://doi.org/10.1016/B978-0-12-804651-7.00015-8</mixed-citation><mixed-citation xml:lang="en">Digabel S.L. (2011). Algorithm 909: Nomad: Nonlinear optimization with the mads algorithm. ACM Transactions on Mathematical Software, 37(4), 44. https://doi.org/10.1145/1916461.1916468</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Das S., Suganthan P.N. (2011). Differential evolution: A survey of the state-of-the-art. IEEE Transactions on Evolutionary Computation, 15(1), pp. 4–31. https://doi.org/10.1109/TEVC.2010.2059031</mixed-citation><mixed-citation xml:lang="en">Elsharkawy A.M. (2002). Predicting the dew point pressure for gas condensate reservoirs: Empirical models and equations of state. Fluid Phase Equilibria, 193(1–2), pp. 147–165. https://doi.org/10.1016/S0378-3812(01)00724-5</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Digabel S.L. (2011). Algorithm 909: Nomad: Nonlinear optimization with the mads algorithm. ACM Transactions on Mathematical Software, 37(4), 44. https://doi.org/10.1145/1916461.1916468</mixed-citation><mixed-citation xml:lang="en">Gimazov A., Imomnazarov B., Starovoytova B., Baykin A., Babin V., Khamidullin D., Kuporosov D. (2024). Solution of the inverse problem of determining the initial hydrocarbons composition in a gas-condensate reservoir using field data. Georesursy = Georesources, 26(3), pp. 73–86. (In Russ.) https://doi.org/10.18599/grs.2024.3.9</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Elsharkawy A.M. (2002). Predicting the dew point pressure for gas condensate reservoirs: Empirical models and equations of state. Fluid Phase Equilibria, 193(1–2), pp. 147–165. https://doi.org/10.1016/S0378-3812(01)00724-5</mixed-citation><mixed-citation xml:lang="en">Hoffmann A. (2019). Eos lumping optimization using a genetic algorithm and a tabu search. Journal of Petroleum Science and Engineering, 174, pp. 495–513. https://doi.org/10.1016/j.petrol.2018.11.021</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Hoffmann A. (2019). Eos lumping optimization using a genetic algorithm and a tabu search. Journal of Petroleum Science and Engineering, 174, pp. 495–513. https://doi.org/10.1016/j.petrol.2018.11.021</mixed-citation><mixed-citation xml:lang="en">Kennedy J., Eberhart R. (1995). Particle swarm optimization. Proceedings of INCNN’95 – International conference on neural networks, 4, pp. 1942–1948 https://doi.org/10.1109/ICNN.1995.488968</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Kennedy J., Eberhart R. (1995). Particle swarm optimization. Proceedings of INCNN’95 – International conference on neural networks, 4, pp. 1942–1948 https://doi.org/10.1109/ICNN.1995.488968</mixed-citation><mixed-citation xml:lang="en">Osfouri S., Azin R. (2015). An overview of challenges and errors in sampling and recombination of gas condensate fluids. Journal of Oil, Gas and Petrochemical Technology, 3(1), pp. 1–14. https://doi.org/10.22034/JOGPT.2016.43155</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Osfouri S., Azin R. (2015). An overview of challenges and errors in sampling and recombination of gas condensate fluids. Journal of Oil, Gas and Petrochemical Technology, 3(1), p. 1–14. https://doi.org/10.22034/jogpt.2016.43155</mixed-citation><mixed-citation xml:lang="en">Promzelev I., Brusilovsky A., Kuporosov D., Yushchenko T. (2018). Peculiarities of identification of reservoir fluids properties of two-phase with oil rim and gas cap deposits. SPE Russian petroleum technology conference, Moscow, Russia. SPE-191566-18RPTC-MS. https://doi.org/10.2118/191566-18RPTC-MS</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Promzelev I., Brusilovsky A., Kuporosov D., Yushchenko T. (2018). Peculiarities of identification of reservoir fluids properties of two-phase with oil rim and gas cap deposits. SPE Russian petroleum technology conference, Moscow, Russia. SPE-191566-18RPTC-MS. https://doi.org/10.2118/191566-18RPTC-MS</mixed-citation><mixed-citation xml:lang="en">R Gazprom 086–2010. (2011). Instruction for comprehensive gas and gas condensate well studies. In 2 Parts. Moscow: Gazprom. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Storn R., Price K. (1997). Differential evolution – a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4), pp. 341–359. https://doi.org/10.1023/A:1008202821328</mixed-citation><mixed-citation xml:lang="en">Storn R., Price K. (1997). Differential evolution – a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4), pp. 341–359. https://doi.org/10.1023/A:1008202821328</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">tNavigator 23.1 (2023). Симулятор. Техническое руководство, RFD: Rock Flow Dynamics, 3855 c.</mixed-citation><mixed-citation xml:lang="en">tNavigator 23.1 (2023). Simulator. Technical Manual, RFD: Rock Flow Dynamics, 3855 p.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Whitson C.H. (1983). Characterizing hydrocarbon-plus fractions. Soc. Petrol. Eng. J., 23, pp. 683–694. https://doi.org/10.2118/12233-PA</mixed-citation><mixed-citation xml:lang="en">Whitson C.H. (1983). Characterizing hydrocarbon-plus fractions. Soc. Petrol. Eng. J., 23, pp. 683–694. https://doi.org/10.2118/12233-PA</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru"></mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
