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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="edn" pub-id-type="custom">HQKHCT</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-16632</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/16632</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Геотехнология и инженерная геология</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Geotechnical Engineering and Engineering Geology</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Permeability prediction of oil formations  via machine learning-assisted simulation  of well flow tests</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Прогнозирование проницаемости нефтяных пластов на основе моделирования синтетических гидродинамических исследований скважин с помощью машинного обучения</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Soromotin</surname>
            <given-names>Andrei V.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Соромотин</surname>
              <given-names>А. В.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Soromotin</surname>
              <given-names>Andrei V.</given-names>
            </name>
          </name-alternatives>
          <email>s@soromotinav.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-6535-6134</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Пермский национальный исследовательский политехнический университет (Пермь, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Perm National Research Polytechnic University (Perm, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Martyushev</surname>
            <given-names>Dmitrii A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Мартюшев</surname>
              <given-names>Д. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Martyushev</surname>
              <given-names>Dmitrii A.</given-names>
            </name>
          </name-alternatives>
          <email>martyushevd@inbox.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-5745-4375</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Пермский национальный исследовательский политехнический университет (Пермь, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Perm National Research Polytechnic University (Perm, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2025-10-13">
        <day>13</day>
        <month>10</month>
        <year>2025</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2025</year>
      </pub-date>
      <volume>275</volume>
      <fpage>81</fpage>
      <lpage>93</lpage>
      <history>
        <date date-type="received" iso-8601-date="2024-12-24">
          <day>24</day>
          <month>12</month>
          <year>2024</year>
        </date>
        <date date-type="accepted" iso-8601-date="2025-09-18">
          <day>18</day>
          <month>09</month>
          <year>2025</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2025-10-31">
          <day>31</day>
          <month>10</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2025 А. В. Соромотин, Д. А. Мартюшев</copyright-statement>
        <copyright-statement xml:lang="en">© 2025 Andrei V. Soromotin, Dmitrii A. Martyushev</copyright-statement>
        <copyright-year>2025</copyright-year>
        <copyright-holder xml:lang="ru">А. В. Соромотин, Д. А. Мартюшев</copyright-holder>
        <copyright-holder xml:lang="en">Andrei V. Soromotin, Dmitrii A. Martyushev</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/16632">https://pmi.spmi.ru/pmi/article/view/16632</self-uri>
      <abstract xml:lang="ru">
        <p>Представлен инновационный подход к моделированию виртуальных гидродинамических исследований добывающих скважин, эксплуатирующих терригенные коллекторы нефтяных месторождений Пермского края. Для решения поставленной задачи использовались современные технологии машинного обучения (CatBoost, Random Forest, XGBoost, MLP, Gradient Boosting и др.), что позволило достичь высокой точности прогнозов. Основной параметр для моделирования и исследования – забойное давление на различных этапах его восстановления в процессе проведения гидродинамических исследований скважин. Использование метода интерпретации модели SHAP впервые позволило оценить влияние геолого-технологических параметров на величину забойного давления и выделить среди них ключевые. Анализ чувствительности модели прогнозирования восстановления забойного давления к изменению исходных параметров позволил оценить степень их влияния на формирование кривых восстановления давления (КВД). Уникальность предложенного подхода заключается в изучении значимости параметров на различных временных этапах восстановления забойного давления в процессе гидродинамического исследования, позволяющего более детально понимать процессы, происходящие в пластовых условиях. Предложенные алгоритмы позволили создать синтетические КВД, максимально приближенные к фактическим данным, а также в режиме реального времени изучать динамику проницаемости удаленной зоны пласта. Подход открывает новые горизонты в моделировании виртуальных гидродинамических исследований и позволяет с высокой степенью детализации и оперативности оценивать фильтрационные свойства пласта по всему добывающему фонду скважин одновременно. Технологическое решение направлено на оперативность оценки фильтрационных параметров удаленных зон пласта и обеспечивает возможность мониторинга изменения проницаемости, что способствует своевременному выявлению зон ухудшения притока нефти и разработке мер по восстановлению продуктивности скважин. Данный подход существенно снижает экономические риски, связанные с проведением дорогостоящих полевых испытаний, обеспечивая надежность и достоверность прогнозируемых показателей при минимальных затратах ресурсов и времени.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>We present an innovative approach to simulating flow tests of production wells operating in clastic reservoirs of oil fields in the Perm Region. To solve this issue, modern machine learning solutions (CatBoost, Random Forest, XGBoost, MLP, Gradient Boosting, etc.) were used, which allowed achieving high prediction accuracy. The main parameter for simulating and research is bottomhole pressure at various stages of its recovery during well flow testing. The use of the SHAP model interpretation method for the first time made it possible to assess the impact of geotechnical parameters on bottomhole pressure and identify key ones among them. Analysis of the bottomhole pressure recovery prediction model sensitivity to changes in initial parameters made it possible to evaluate the degree of their influence on the pressure recovery curves (PRC). The uniqueness of the proposed approach lies in studying the significance of parameters at various time stages of bottomhole pressure recovery during flow testing, which allows for a more detailed understanding of the processes occurring under formation conditions. The proposed algorithms made it possible to simulate PRC that are as close as possible to actual data, as well as to study the dynamics of permeability of the remote formation zone in real time. This approach opens up new horizons in simulating flow tests and allows for highly detailed and timely assessment of formation filtration properties across the entire production well stock simultaneously. The process engineering solution is aimed at promptly assessing filtration parameters of remote formation zones and provides the ability to monitor permeability changes, which helps to timely identify areas of reduced oil inflow and develop measures to restore well productivity. This approach significantly reduces economic risks associated with conducting expensive field tests while ensuring reliability and validity of predicted indicators with minimal resource and time costs.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>машинное обучение</kwd>
        <kwd>проницаемость</kwd>
        <kwd>гидродинамические исследования скважин</kwd>
        <kwd>кривая восстановления давления</kwd>
        <kwd>пластовое давление</kwd>
        <kwd>забойное давление</kwd>
        <kwd>призабойная зона пласта</kwd>
        <kwd>фильтрационные параметры пласта</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>machine learning</kwd>
        <kwd>permeability</kwd>
        <kwd>well flow testing</kwd>
        <kwd>pressure recovery curve</kwd>
        <kwd>formation pressure</kwd>
        <kwd>bottomhole pressure</kwd>
        <kwd>bottomhole zone</kwd>
        <kwd>formation filtration parameters</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement xml:lang="ru">Исследования выполнены при поддержке Министерства науки и высшего образования Российской Федерации (проект № FSNM-2024-0005).</funding-statement>
        <funding-statement xml:lang="en">The research was supported by the Ministry of Science and Higher Education of the Russian Federation (project N FSNM-2024-0005).</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Язьков А.В., Колбиков С.В., Шадчнев Н.А. и др. Геолого-технологические вызовы и опыт разработки трудноизвлекаемых запасов // Георесурсы. 2024. T. 26. № 3. C. 7-12. DOI: 10.18599/grs.2024.3.1</mixed-citation>
        <mixed-citation xml:lang="en">Yazkov A.V., Kolbikov S.V., Shadchnev N.A. et al. Geological and Technological Challenges and Experience in Developing Hard-to-Recover Reserves. Georesources. 2024. Vol. 26. N 3, p. 7-12 (in Russian). DOI: 10.18599/grs.2024.3.1</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Индрупский И.М., Ибрагимов И.И., Цаган-Манджиев Т.Н. и др. Лабораторная, численная и промысловая оценка эффективности циклического геомеханического воздействия на карбонатном коллекторе турнейского яруса // Записки Горного института. 2023. Т. 262. С. 581-593. DOI: 10.31897/PMI.2023.5</mixed-citation>
        <mixed-citation xml:lang="en">Indrupskiy I.M., Ibragimov I.I., Tsagan-Mandzhiev T.N. et al. Laboratory, numerical and field assessment of the effective-ness of cyclic geo-mechanical treatment on a tournaisian carbonate reservoir. Journal of Mining Institute. 2023. Vol. 262, p. 581-593. DOI: 10.31897/PMI.2023.5</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Kanin E., Garipova A., Boronin S. et al. Combined mechanistic and machine learning method for construction of oil reservoir permeability map consistent with well test measurements // Petroleum Research. 2025. Vol. 10. Iss. 2. P. 247-265. DOI: 10.1016/j.ptlrs.2024.09.001</mixed-citation>
        <mixed-citation xml:lang="en">Kanin E., Garipova A., Boronin S. et al. Combined mechanistic and machine learning method for construction of oil reservoir permeability map consistent with well test measurements. Petroleum Research. 2025. Vol. 10. Iss. 2, p. 247-265. DOI: 10.1016/j.ptlrs.2024.09.001</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Byrne M.T., McPhee C.A. The Extinction of Skin // SPE International Symposium and Exhibition on Formation Damage Control, 15-17 February 2012, Lafayette, LA, USA. OnePetro, 2012. № SPE-151807-MS. DOI: 10.2118/151807-MS</mixed-citation>
        <mixed-citation xml:lang="en">Byrne M.T., McPhee C.A. The Extinction of Skin. SPE International Symposium and Exhibition on Formation Damage Control, 15-17 February 2012, Lafayette, LA, USA. OnePetro, 2012. N SPE-151807-MS. DOI: 10.2118/151807-MS</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Al-Obaidi S.H., Khalaf F.H., Alwan H.H. Performance Analysis of Hydrocarbon Wells Based on the Skin Zone // Technium. 2021. Vol. 3. Iss. 4. P. 50-56.</mixed-citation>
        <mixed-citation xml:lang="en">Al-Obaidi S.H., Khalaf F.H., Alwan H.H. Performance Analysis of Hydrocarbon Wells Based on the Skin Zone. Technium. 2021. Vol. 3. Iss. 4, p. 50-56.</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Belhouchet H.E., Benzagouta M.S., Dobbi A. et al. A new empirical model for enhancing well log permeability prediction, using nonlinear regression method: Case study from Hassi-Berkine oil field reservoir – Algeria // Journal of King Saud University – Engineering Sciences. 2021. Vol. 33. Iss. 2. P. 136-145. DOI: 10.1016/j.jksues.2020.04.008</mixed-citation>
        <mixed-citation xml:lang="en">Belhouchet H.E., Benzagouta M.S., Dobbi A. et al. A new empirical model for enhancing well log permeability prediction, using nonlinear regression method: Case study from Hassi-Berkine oil field reservoir – Algeria. Journal of King Saud University – Engineering Sciences. 2021. Vol. 33. Iss. 2, p. 136-145. DOI: 10.1016/j.jksues.2020.04.008</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Xidong Wang, Shaochun Yang, Ya Wang et al. Improved permeability prediction based on the feature engineering of petrophysics and fuzzy logic analysis in low porosity–permeability reservoir // Journal of Petroleum Exploration and Production Tech-nology. 2019. Vol. 9. Iss. 2. P. 869-887. DOI: 10.1007/s13202-018-0556-y</mixed-citation>
        <mixed-citation xml:lang="en">Xidong Wang, Shaochun Yang, Ya Wang et al. Improved permeability prediction based on the feature engineering of petrophysics and fuzzy logic analysis in low porosity–permeability reservoir. Journal of Petroleum Exploration and Production Tech-nology. 2019. Vol. 9. Iss. 2, p. 869-887. DOI: 10.1007/s13202-018-0556-y</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Mirzaei-Paiaman A., Asadolahpour S.R., Saboorian-Jooybari H. et al. A new framework for selection of representative samples for special core analysis // Petroleum Research. 2020. Vol. 5. Iss. 3. P. 210-226. DOI: 10.1016/j.ptlrs.2020.06.003</mixed-citation>
        <mixed-citation xml:lang="en">Mirzaei-Paiaman A., Asadolahpour S.R., Saboorian-Jooybari H. et al. A new framework for selection of representative samples for special core analysis. Petroleum Research. 2020. Vol. 5. Iss. 3, p. 210-226. DOI: 10.1016/j.ptlrs.2020.06.003</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Mirzaei-Paiaman A., Saboorian-Jooybari H., Pourafshary P. Improved Method to Identify Hydraulic Flow Units for Res-ervoir Characterization // Energy Technology. 2015. Vol. 3. Iss. 7. P. 726-733. DOI: 10.1002/ente.201500010</mixed-citation>
        <mixed-citation xml:lang="en">Mirzaei-Paiaman A., Saboorian-Jooybari H., Pourafshary P. Improved Method to Identify Hydraulic Flow Units for Reser-voir Characterization. Energy Technology. 2015. Vol. 3. Iss. 7, p. 726-733. DOI: 10.1002/ente.201500010</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Кочегуров А.И., Денисов В.И., Задорожных Е.А. Анализ применения методов машинного обучения в задачах клас-сификации пород на образцах керна // Известия Томского политехнического университета. Инжиниринг георесурсов. 2024. Т. 335. № 9. С. 148-159. DOI: 10.18799/24131830/2024/9/4792</mixed-citation>
        <mixed-citation xml:lang="en">Kochegurov A.I., Denisov V.I., Zadorozhnykh E.A. Analysis of applying machine learning methods in rock classification problems on core samples. Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering. 2024. Vol. 335. N 9, p. 148-159. DOI: 10.18799/24131830/2024/9/4792</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Soromotin A.V., Martyushev D.A., Pereira J.L.J. On the application of machine learning algorithms in predicting the permea-bility of oil reservoirs // Artificial Intelligence in Geosciences. 2025. Vol. 6. Iss. 2. № 100126. DOI: 10.1016/j.aiig.2025.100126</mixed-citation>
        <mixed-citation xml:lang="en">Soromotin A.V., Martyushev D.A., Pereira J.L.J. On the application of machine learning algorithms in predicting the permea-bility of oil reservoirs. Artificial Intelligence in Geosciences. 2025. Vol. 6. Iss. 2. N 100126. DOI: 10.1016/j.aiig.2025.100126</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Bennis M., Torres-Verdín C. Automatic Multiwell Assessment of Flow-Related Petrophysical Properties of Tight-Gas Sandstones Based on the Physics of Mud-Filtrate Invasion // SPE Reservoir Evaluation &amp; Engineering. 2023. Vol. 26. Iss. 3. P. 543-564. DOI: 10.2118/214668-PA</mixed-citation>
        <mixed-citation xml:lang="en">Bennis M., Torres-Verdín C. Automatic Multiwell Assessment of Flow-Related Petrophysical Properties of Tight-Gas Sandstones Based on the Physics of Mud-Filtrate Invasion. SPE Reservoir Evaluation &amp; Engineering. 2023. Vol. 26. Iss. 3, p. 543-564. DOI: 10.2118/214668-PA</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Ishola O., Vilcáez J. Machine learning modeling of permeability in 3D heterogeneous porous media using a novel stochastic pore-scale simulation approach // Fuel. 2022. Vol. 321. № 124044. DOI: 10.1016/j.fuel.2022.124044</mixed-citation>
        <mixed-citation xml:lang="en">Ishola O., Vilcáez J. Machine learning modeling of permeability in 3D heterogeneous porous media using a novel stochastic pore-scale simulation approach. Fuel. 2022. Vol. 321. N 124044. DOI: 10.1016/j.fuel.2022.124044</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Singh M., Makarychev G., Mustapha H. et al. Machine Learning Assisted Petrophysical Logs Quality Control, Editing and Reconstruction // Abu Dhabi International Petroleum Exhibition &amp; Conference, 9-12 November 2020, Abu Dhabi, UAE. OnePetro, 2020. № SPE-202977-MS. DOI: 10.2118/202977-MS</mixed-citation>
        <mixed-citation xml:lang="en">Singh M., Makarychev G., Mustapha H. et al. Machine Learning Assisted Petrophysical Logs Quality Control, Editing and Reconstruction. Abu Dhabi International Petroleum Exhibition &amp; Conference, 9-12 November 2020, Abu Dhabi, UAE. OnePetro, 2020. N SPE-202977-MS. DOI: 10.2118/202977-MS</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Qing Kang, Kai-Qi Li, Jin-Long Fu, Yong Liu. Hybrid LBM and machine learning algorithms for permeability prediction of porous media: A comparative study // Computers and Geotechnics. 2024. Vol. 168. № 106163. DOI: 10.1016/j.compgeo.2024.106163</mixed-citation>
        <mixed-citation xml:lang="en">Qing Kang, Kai-Qi Li, Jin-Long Fu, Yong Liu. Hybrid LBM and machine learning algorithms for permeability prediction of porous media: A comparative study. Computers and Geotechnics. 2024. Vol. 168. N 106163. DOI: 10.1016/j.compgeo.2024.106163</mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Jirjees A.Y., Abdulaziz A.M. Influences of uncertainty in well log petrophysics and fluid properties on well test interpretation: An application in West Al Qurna Oil Field, South Iraq // Egyptian Journal of Petroleum. 2019. Vol. 28. Iss. 4. P. 383-392. DOI: 10.1016/j.ejpe.2019.08.005</mixed-citation>
        <mixed-citation xml:lang="en">Jirjees A.Y., Abdulaziz A.M. Influences of uncertainty in well log petrophysics and fluid properties on well test interpreta-tion: An application in West Al Qurna Oil Field, South Iraq. Egyptian Journal of Petroleum. 2019. Vol. 28. Iss. 4, p. 383-392. DOI: 10.1016/j.ejpe.2019.08.005</mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Мартюшев Д.А., Слушкина А.Ю. Оценка информативности определения фильтрационных параметров пласта на основе интерпретации кривых стабилизации давления // Известия Томского политехнического университета. Инжиниринг георесурсов. 2019. Т. 330. № 10. С. 26-32. DOI: 10.18799/24131830/2019/10/2295</mixed-citation>
        <mixed-citation xml:lang="en">Martyushev D.A., Slushkina A.Yu. Assessment of informative value in determination of reservoir filtration parameters based on interpretation of pressure stabilization curves. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering. 2019. Vol. 330. N 10, p. 26-32 (in Russian). DOI: 10.18799/24131830/2019/10/2295</mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Kaleem W., Tewari S., Fogat M., Martyushev D.A. A hybrid machine learning approach based study of production forecasting and factors influencing the multiphase flow through surface chokes // Petroleum. 2024. Vol. 10. Iss. 2. P. 354-371. DOI: 10.1016/j.petlm.2023.06.001</mixed-citation>
        <mixed-citation xml:lang="en">Kaleem W., Tewari S., Fogat M., Martyushev D.A. A hybrid machine learning approach based study of production forecasting and factors influencing the multiphase flow through surface chokes. Petroleum. 2024. Vol. 10. Iss. 2, p. 354-371. DOI: 10.1016/j.petlm.2023.06.001</mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Юдин В.А., Вольпин С.Г., Ефимова Н.П., Афанаскин И.В. Особенности кривой стабилизации давления в скважине, расположенной в зоне динамического влияния разлома // Нефтепромысловое дело. 2020. № 12 (624). С. 15-22. DOI: 10.30713/0207-2351-2020-12(624)-15-22</mixed-citation>
        <mixed-citation xml:lang="en">Yudin V.A., Volpin S.G., Efimova N.P., Afanaskin I.V. Some features of pressure stabilization curve in the well located in the fault’s dynamic influence zone. Oilfield engineering. 2020. N 12 (624), p. 15-22 (in Russian). DOI: 10.30713/0207-2351-2020-12(624)-15-22</mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Zhiping Chen, Jia Zhang, Daren Zhang et al. Enhanced permeability prediction in porous media using particle swarm optimization with multi-source integration // Artificial Intelligence in Geosciences. 2024. Vol. 5. № 100090. DOI: 10.1016/j.aiig.2024.100090</mixed-citation>
        <mixed-citation xml:lang="en">Zhiping Chen, Jia Zhang, Daren Zhang et al. Enhanced permeability prediction in porous media using particle swarm optimization with multi-source integration. Artificial Intelligence in Geosciences. 2024. Vol. 5. N 100090. DOI: 10.1016/j.aiig.2024.100090</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Zhuoheng Chen, Hannigan P. A shale gas resource potential assessment of Devonian Horn River strata using a well-performance method // Canadian Journal of Earth Sciences. 2016. Vol. 53. № 2. P. 156-167. DOI: 10.1139/cjes-2015-0094</mixed-citation>
        <mixed-citation xml:lang="en">Zhuoheng Chen, Hannigan P. A shale gas resource potential assessment of Devonian Horn River strata using a well-performance method. Canadian Journal of Earth Sciences. 2016. Vol. 53. N 2, p. 156-167. DOI: 10.1139/cjes-2015-0094</mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Муслимов Р.Х. Становление и перспективы дальнейшего развития гидродинамических методов разработки нефтяных месторождений России // Нефтяное хозяйство. 2020. № 12. С. 96-100. DOI: 10.24887/0028-2448-2020-12-96-100</mixed-citation>
        <mixed-citation xml:lang="en">Muslimov R.Kh. History and prospects of hydrodynamic methods for oil fields development in Russia. Oil Industry Journal. 2020. N 12, p. 96-100 (in Russian). DOI: 10.24887/0028-2448-2020-12-96-100</mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Пискунов С.А., Давуди Ш. Прогнозирование дебита горизонтальных скважин с применением модели машинного обучения // Известия Томского политехнического университета. Инжиниринг георесурсов. 2024. Т. 335. № 5. С. 118-130. DOI: 10.18799/24131830/2024/5/4553</mixed-citation>
        <mixed-citation xml:lang="en">Piskunov S.A., Davoodi Sh. Horizontal well flow rate prediction applying machine-learning model. Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering. 2024. Vol. 335. N 5, p. 118-130 (in Russian). DOI: 10.18799/24131830/2024/5/4553</mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Ben-Awuah J., Padmanabhan E. An enhanced approach to predict permeability in reservoir sandstones using artificial neural networks (ANN) // Arabian Journal of Geosciences. 2017. Vol. 10. Iss. 7. № 173. DOI: 10.1007/s12517-017-2955-7</mixed-citation>
        <mixed-citation xml:lang="en">Ben-Awuah J., Padmanabhan E. An enhanced approach to predict permeability in reservoir sandstones using artificial neural networks (ANN). Arabian Journal of Geosciences. 2017. Vol. 10. Iss. 7. N 173. DOI: 10.1007/s12517-017-2955-7</mixed-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Elkatatny S., Mahmoud M., Tariq Z., Abdulraheem A. New insights into the prediction of heterogeneous carbonate reservoir permeability from well logs using artificial intelligence network // Neural Computing and Applications. 2018. Vol. 30. Iss. 9. P. 2673-2683. DOI: 10.1007/s00521-017-2850-x</mixed-citation>
        <mixed-citation xml:lang="en">Elkatatny S., Mahmoud M., Tariq Z., Abdulraheem A. New insights into the prediction of heterogeneous carbonate reservoir permeability from well logs using artificial intelligence network. Neural Computing and Applications. 2018. Vol. 30. Iss. 9, p. 2673-2683. DOI: 10.1007/s00521-017-2850-x</mixed-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Irani R., Nasimi R. Evolving neural network using real coded genetic algorithm for permeability estimation of the reservoir // Expert Systems with Applications. 2011. Vol. 38. Iss. 8. P. 9862-9866. DOI: 10.1016/j.eswa.2011.02.046</mixed-citation>
        <mixed-citation xml:lang="en">Irani R., Nasimi R. Evolving neural network using real coded genetic algorithm for permeability estimation of the reservoir. Expert Systems with Applications. 2011. Vol. 38. Iss. 8, p. 9862-9866. DOI: 10.1016/j.eswa.2011.02.046</mixed-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Bagheripour P. Committee neural network model for rock permeability prediction // Journal of Applied Geophysics. 2014. Vol. 104. P. 142-148. DOI: 10.1016/j.jappgeo.2014.03.001</mixed-citation>
        <mixed-citation xml:lang="en">Bagheripour P. Committee neural network model for rock permeability prediction. Journal of Applied Geophysics. 2014. Vol. 104, p. 142-148. DOI: 10.1016/j.jappgeo.2014.03.001</mixed-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Matinkia M., Hashami R., Mehrad M. et al. Prediction of permeability from well logs using a new hybrid machine learning algorithm // Petroleum. 2023. Vol. 9. Iss. 1. P. 108-123. DOI: 10.1016/j.petlm.2022.03.003</mixed-citation>
        <mixed-citation xml:lang="en">Matinkia M., Hashami R., Mehrad M. et al. Prediction of permeability from well logs using a new hybrid machine learning algorithm. Petroleum. 2023. Vol. 9. Iss. 1, p. 108-123. DOI: 10.1016/j.petlm.2022.03.003</mixed-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Xiaobo Zhao, Xiaojun Chen, Qiao Huang et al. Logging-data-driven permeability prediction in low-permeable sandstones based on machine learning with pattern visualization: A case study in Wenchang A Sag, Pearl River Mouth Basin // Journal of Petro-leum Science and Engineering. 2022. Vol. 214. № 110517. DOI: 10.1016/j.petrol.2022.110517</mixed-citation>
        <mixed-citation xml:lang="en">Xiaobo Zhao, Xiaojun Chen, Qiao Huang et al. Logging-data-driven permeability prediction in low-permeable sandstones based on machine learning with pattern visualization: A case study in Wenchang A Sag, Pearl River Mouth Basin. Journal of Petroleum Science and Engineering. 2022. Vol. 214. N 110517. DOI: 10.1016/j.petrol.2022.110517</mixed-citation>
      </ref>
      <ref id="ref30">
        <label>30</label>
        <mixed-citation xml:lang="ru">Jing-Jing Liu, Jian-Chao Liu. Permeability Predictions for Tight Sandstone Reservoir Using Explainable Machine Learning and Particle Swarm Optimization // Geofluids. 2022. Vol. 2022. № 2263329. DOI: 10.1155/2022/2263329</mixed-citation>
        <mixed-citation xml:lang="en">Jing-Jing Liu, Jian-Chao Liu. Permeability Predictions for Tight Sandstone Reservoir Using Explainable Machine Learning and Particle Swarm Optimization. Geofluids. 2022. Vol. 2022. N 2263329. DOI: 10.1155/2022/2263329</mixed-citation>
      </ref>
      <ref id="ref31">
        <label>31</label>
        <mixed-citation xml:lang="ru">Tahmasebi P., Hezarkhani A. A fast and independent architecture of artificial neural network for permeability prediction // Journal of Petroleum Science and Engineering. 2012. Vol. 86-87. P. 118-126. DOI: 10.1016/j.petrol.2012.03.019</mixed-citation>
        <mixed-citation xml:lang="en">Tahmasebi P., Hezarkhani A. A fast and independent architecture of artificial neural network for permeability prediction. Journal of Petroleum Science and Engineering. 2012. Vol. 86-87, p. 118-126. DOI: 10.1016/j.petrol.2012.03.019</mixed-citation>
      </ref>
      <ref id="ref32">
        <label>32</label>
        <mixed-citation xml:lang="ru">Kumar A., Lin Liang, Ojha K. Simultaneous inversion of permeability, skin and boundary from pressure transient test data in three-dimensional single well reservoir model // Petroleum Research. 2024. Vol. 9. Iss. 2. P. 265-272. DOI: 10.1016/j.ptlrs.2024.01.004</mixed-citation>
        <mixed-citation xml:lang="en">Kumar A., Lin Liang, Ojha K. Simultaneous inversion of permeability, skin and boundary from pressure transient test data in three-dimensional single well reservoir model. Petroleum Research. 2024. Vol. 9. Iss. 2, p. 265-272. DOI: 10.1016/j.ptlrs.2024.01.004</mixed-citation>
      </ref>
      <ref id="ref33">
        <label>33</label>
        <mixed-citation xml:lang="ru">Aïfa T., Baouche R., Baddari K. Neuro-fuzzy system to predict permeability and porosity from well log data: A case study of Hassi R׳Mel gas field, Algeria // Journal of Petroleum Science and Engineering. 2014. Vol. 123. P. 217-229. DOI: 10.1016/j.petrol.2014.09.019</mixed-citation>
        <mixed-citation xml:lang="en">Aïfa T., Baouche R., Baddari K. Neuro-fuzzy system to predict permeability and porosity from well log data: A case study of Hassi R’Mel gas field, Algeria. Journal of Petroleum Science and Engineering. 2014. Vol. 123, p. 217-229. DOI: 10.1016/j.petrol.2014.09.019</mixed-citation>
      </ref>
      <ref id="ref34">
        <label>34</label>
        <mixed-citation xml:lang="ru">Chaves G.S., Ferreira Filho V.J.M. Enhancing production monitoring: A back allocation methodology to estimate well flow rates and assist well test scheduling // Petroleum Research. 2024. Vol. 9. Iss. 3. P. 369-379. DOI: 10.1016/j.ptlrs.2024.03.008</mixed-citation>
        <mixed-citation xml:lang="en">Chaves G.S., Ferreira Filho V.J.M. Enhancing production monitoring: A back allocation methodology to estimate well flow rates and assist well test scheduling. Petroleum Research. 2024. Vol. 9. Iss. 3, p. 369-379. DOI: 10.1016/j.ptlrs.2024.03.008</mixed-citation>
      </ref>
      <ref id="ref35">
        <label>35</label>
        <mixed-citation xml:lang="ru">El-Sebakhy E.A., Asparouhov O., Abdulraheem A.A. et al. Functional networks as a new data mining predictive paradigm to predict permeability in a carbonate reservoir // Expert Systems with Applications. 2012. Vol. 39. Iss. 12. P. 10359-10375. DOI: 10.1016/j.eswa.2012.01.157</mixed-citation>
        <mixed-citation xml:lang="en">El-Sebakhy E.A., Asparouhov O., Abdulraheem A.A. et al. Functional networks as a new data mining predictive paradigm to predict permeability in a carbonate reservoir. Expert Systems with Applications. 2012. Vol. 39. Iss. 12, p. 10359-10375. DOI: 10.1016/j.eswa.2012.01.157</mixed-citation>
      </ref>
      <ref id="ref36">
        <label>36</label>
        <mixed-citation xml:lang="ru">Gholami R., Moradzadeh A., Maleki S. et al. Applications of artificial intelligence methods in prediction of permeability in hydrocarbon reservoirs // Journal of Petroleum Science and Engineering. 2014. Vol. 122. P. 643-656. DOI: 10.1016/j.petrol.2014.09.007</mixed-citation>
        <mixed-citation xml:lang="en">Gholami R., Moradzadeh A., Maleki S. et al. Applications of artificial intelligence methods in prediction of permeability in hydrocarbon reservoirs. Journal of Petroleum Science and Engineering. 2014. Vol. 122, p. 643-656. DOI: 10.1016/j.petrol.2014.09.007</mixed-citation>
      </ref>
      <ref id="ref37">
        <label>37</label>
        <mixed-citation xml:lang="ru">Yanji Wang, Hangyu Li, Jianchun Xu et al. Machine learning assisted relative permeability upscaling for uncertainty quan-tification // Energy. 2022. Vol. 245. № 123284. DOI: 10.1016/j.energy.2022.123284</mixed-citation>
        <mixed-citation xml:lang="en">Yanji Wang, Hangyu Li, Jianchun Xu et al. Machine learning assisted relative permeability upscaling for uncertainty quan-tification. Energy. 2022. Vol. 245. N 123284. DOI: 10.1016/j.energy.2022.123284</mixed-citation>
      </ref>
      <ref id="ref38">
        <label>38</label>
        <mixed-citation xml:lang="ru">Guoyin Zhang, Zhizhang Wang, Huaji Li et al. Permeability prediction of isolated channel sands using machine learning // Journal of Applied Geophysics. 2018. Vol. 159. P. 605-615. DOI: 10.1016/j.jappgeo.2018.09.011</mixed-citation>
        <mixed-citation xml:lang="en">Guoyin Zhang, Zhizhang Wang, Huaji Li et al. Permeability prediction of isolated channel sands using machine learning. Journal of Applied Geophysics. 2018. Vol. 159, p. 605-615. DOI: 10.1016/j.jappgeo.2018.09.011</mixed-citation>
      </ref>
      <ref id="ref39">
        <label>39</label>
        <mixed-citation xml:lang="ru">Sheykhinasab A., Mohseni A.A., Bahari A.B. et al. Prediction of permeability of highly heterogeneous hydrocarbon reservoir from conventional petrophysical logs using optimized data-driven algorithms // Journal of Petroleum Exploration and Production Technology. 2023. Vol. 13. Iss. 2. P. 661-689. DOI: 10.1007/s13202-022-01593-z</mixed-citation>
        <mixed-citation xml:lang="en">Sheykhinasab A., Mohseni A.A., Bahari A.B. et al. Prediction of permeability of highly heterogeneous hydrocarbon reservoir from conventional petrophysical logs using optimized data-driven algorithms. Journal of Petroleum Exploration and Production Technology. 2023. Vol. 13. Iss. 2, p. 661-689. DOI: 10.1007/s13202-022-01593-z</mixed-citation>
      </ref>
      <ref id="ref40">
        <label>40</label>
        <mixed-citation xml:lang="ru">Campos D., Wayo D.D.K., De Santis R.B. et al. Evolutionary automated radial basis function neural network for multiphase flowing bottom-hole pressure prediction // Fuel. 2024. Vol. 377. № 132666. DOI: 10.1016/j.fuel.2024.132666</mixed-citation>
        <mixed-citation xml:lang="en">Campos D., Wayo D.D.K., De Santis R.B. et al. Evolutionary automated radial basis function neural network for multiphase flowing bottom-hole pressure prediction. Fuel. 2024. Vol. 377. N 132666. DOI: 10.1016/j.fuel.2024.132666</mixed-citation>
      </ref>
      <ref id="ref41">
        <label>41</label>
        <mixed-citation xml:lang="ru">Anifowose F., Labadin J., Abdulraheem A. Improving the prediction of petroleum reservoir characterization with a stacked generalization ensemble model of support vector machines // Applied Soft Computing. 2015. Vol. 26. P. 483-496. DOI: 10.1016/j.asoc.2014.10.017</mixed-citation>
        <mixed-citation xml:lang="en">Anifowose F., Labadin J., Abdulraheem A. Improving the prediction of petroleum reservoir characterization with a stacked generalization ensemble model of support vector machines. Applied Soft Computing. 2015. Vol. 26, p. 483-496. DOI: 10.1016/j.asoc.2014.10.017</mixed-citation>
      </ref>
      <ref id="ref42">
        <label>42</label>
        <mixed-citation xml:lang="ru">Anifowose F.A., Labadin J., Abdulraheem A. Ensemble model of non-linear feature selection-based Extreme Learning Ma-chine for improved natural gas reservoir characterization // Journal of Natural Gas Science and Engineering. 2015. Vol. 26. P. 1561-1572. DOI: 10.1016/j.jngse.2015.02.012</mixed-citation>
        <mixed-citation xml:lang="en">Anifowose F.A., Labadin J., Abdulraheem A. Ensemble model of non-linear feature selection-based Extreme Learning Machine for improved natural gas reservoir characterization. Journal of  Natural Gas Science and Engineering. 2015. Vol. 26, p. 1561-1572. DOI: 10.1016/j.jngse.2015.02.012</mixed-citation>
      </ref>
      <ref id="ref43">
        <label>43</label>
        <mixed-citation xml:lang="ru">Otchere D.A., Ganat T.O.A., Gholami R., Lawal M. A novel custom ensemble learning model for an improved reservoir permeability and water saturation prediction // Journal of Natural Gas Science and Engineering. 2021. Vol. 91. № 103962. DOI: 10.1016/j.jngse.2021.103962</mixed-citation>
        <mixed-citation xml:lang="en">Otchere D.A., Ganat T.O.A., Gholami R., Lawal M. A novel custom ensemble learning model for an improved reservoir permeability and water saturation prediction. Journal of Natural Gas Science and Engineering. 2021. Vol. 91. N 103962. DOI: 10.1016/j.jngse.2021.103962</mixed-citation>
      </ref>
      <ref id="ref44">
        <label>44</label>
        <mixed-citation xml:lang="ru">Mkono C.N., Chuanbo Shen, Mulashani A.K., Nyangi P. An improved permeability estimation model using integrated ap-proach of hybrid machine learning technique and Shapley additive explanation // Journal of Rock Mechanics and Geotechnical Engi-neering. 2025. Vol. 17. Iss. 5. P. 2928-2942. DOI: 10.1016/j.jrmge.2024.09.013</mixed-citation>
        <mixed-citation xml:lang="en">Mkono C.N., Chuanbo Shen, Mulashani A.K., Nyangi P. An improved permeability estimation model using integrated ap-proach of hybrid machine learning technique and Shapley additive explanation. Journal of Rock Mechanics and Geotechnical Engi-neering. 2025. Vol. 17. Iss. 5, p. 2928-2942. DOI: 10.1016/j.jrmge.2024.09.013</mixed-citation>
      </ref>
      <ref id="ref45">
        <label>45</label>
        <mixed-citation xml:lang="ru">Shijia Ma, Jiangfeng Liu, Yuanjian Lin et al. Prediction of permeability of various geotechnical materials under different temperatures based on physical characteristics and machine learning // Fuel. 2025. Vol. 379. № 133109. DOI: 10.1016/j.fuel.2024.133109</mixed-citation>
        <mixed-citation xml:lang="en">Shijia Ma, Jiangfeng Liu, Yuanjian Lin et al. Prediction of permeability of various geotechnical materials under different temperatures based on physical characteristics and machine learning. Fuel. 2025. Vol. 379. N 133109. DOI: 10.1016/j.fuel.2024.133109</mixed-citation>
      </ref>
      <ref id="ref46">
        <label>46</label>
        <mixed-citation xml:lang="ru">Riyadi Z.A., Olutoki J.O., Hermana M. et al. Machine learning prediction of permeability distribution in the X field Malay Basin using elastic properties // Results in Engineering. 2024. Vol. 24. № 103421. DOI: 10.1016/j.rineng.2024.103421</mixed-citation>
        <mixed-citation xml:lang="en">Riyadi Z.A., Olutoki J.O., Hermana M. et al. Machine learning prediction of permeability distribution in the X field Malay Basin using elastic properties. Results in Engineering. 2024. Vol. 24. N 103421. DOI: 10.1016/j.rineng.2024.103421</mixed-citation>
      </ref>
      <ref id="ref47">
        <label>47</label>
        <mixed-citation xml:lang="ru">Masroor M., Niri M.E., Sharifinasab M.H. A multiple-input deep residual convolutional neural network for reservoir permea-bility prediction // Geoenergy Science and Engineering. 2023. Vol. 222. № 211420. DOI: 10.1016/j.geoen.2023.211420</mixed-citation>
        <mixed-citation xml:lang="en">Masroor M., Niri M.E., Sharifinasab M.H. A multiple-input deep residual convolutional neural network for reservoir perme-ability prediction. Geoenergy Science and Engineering. 2023. Vol. 222. N 211420. DOI: 10.1016/j.geoen.2023.211420</mixed-citation>
      </ref>
      <ref id="ref48">
        <label>48</label>
        <mixed-citation xml:lang="ru">Lawal A., Yingjie Yang, Hongmei He, Baisa N.L. Machine Learning in Oil and Gas Exploration: A Review // IEEE Access. 2024. Vol. 12. P. 19035-19058. DOI: 10.1109/ACCESS.2023.3349216</mixed-citation>
        <mixed-citation xml:lang="en">Lawal A., Yingjie Yang, Hongmei He, Baisa N.L. Machine Learning in Oil and Gas Exploration: A Review. IEEE Access. 2024. Vol. 12, p. 19035-19058. DOI: 10.1109/ACCESS.2023.3349216</mixed-citation>
      </ref>
      <ref id="ref49">
        <label>49</label>
        <mixed-citation xml:lang="ru">Захаров Л.А., Мартюшев Д.А., Пономарева И.Н. Прогнозирование динамического пластового давления методами искусственного интеллекта // Записки Горного института. 2022. Т. 253. С. 23-32. DOI: 10.31897/PMI.2022.11</mixed-citation>
        <mixed-citation xml:lang="en">Zakharov L.А., Martyushev D.А., Ponomareva I.N. Predicting dynamic formation pressure using artificial intelligence methods. Journal of Mining Institute. 2022. Vol. 253, p. 23-32. DOI: 10.31897/PMI.2022.11</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
