<?xml version="1.0" encoding="UTF-8"?>
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" dtd-version="1.4" article-type="research-article">
  <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">VOBTXU</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-16413</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/16413</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">Analysis of the stress state of rocks transformation near a horizontal well during acid treatment based on numerical simulation</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Анализ трансформации напряженного состояния горных пород вблизи горизонтальной скважины при проведении кислотной обработки на основе метода численного моделирования</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Popov</surname>
            <given-names>Sergei N.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Попов</surname>
              <given-names>С. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Popov</surname>
              <given-names>Sergei N.</given-names>
            </name>
          </name-alternatives>
          <email>popov@ipng.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-1110-7802</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Институт проблем нефти и газа РАН (Москва, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Oil and Gas Research Institute, RAS (Moscow, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Chernyshov</surname>
            <given-names>Sergei E.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Чернышов</surname>
              <given-names>С. Е.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Chernyshov</surname>
              <given-names>Sergei E.</given-names>
            </name>
          </name-alternatives>
          <email>nirgnf@bk.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-2034-3014</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 contrib-type="author">
          <name name-style="eastern">
            <surname>Wang</surname>
            <given-names>Xiaopu </given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Ванг</surname>
              <given-names>Ксяопу </given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Wang</surname>
              <given-names>Xiaopu </given-names>
            </name>
          </name-alternatives>
          <email>wxp@upc.edu.cn</email>
          <contrib-id contrib-id-type="orcid">0000-0003-1013-2691</contrib-id>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Китайский нефтяной университет (Циндао, Китай)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">China University of Petroleum (Qingdao, China)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2025-02-27">
        <day>27</day>
        <month>02</month>
        <year>2025</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2025</year>
      </pub-date>
      <volume>272</volume>
      <fpage>110</fpage>
      <lpage>118</lpage>
      <history>
        <date date-type="received" iso-8601-date="2024-03-20">
          <day>20</day>
          <month>03</month>
          <year>2024</year>
        </date>
        <date date-type="accepted" iso-8601-date="2024-11-07">
          <day>07</day>
          <month>11</month>
          <year>2024</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2025-04-25">
          <day>25</day>
          <month>04</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2025 С. Н. Попов, С. Е. Чернышов, Ксяопу  Ванг</copyright-statement>
        <copyright-statement xml:lang="en">© 2025 Sergei N. Popov, Sergei E. Chernyshov, Xiaopu  Wang</copyright-statement>
        <copyright-year>2025</copyright-year>
        <copyright-holder xml:lang="ru">С. Н. Попов, С. Е. Чернышов, Ксяопу  Ванг</copyright-holder>
        <copyright-holder xml:lang="en">Sergei N. Popov, Sergei E. Chernyshov, Xiaopu  Wang</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/16413">https://pmi.spmi.ru/pmi/article/view/16413</self-uri>
      <abstract xml:lang="ru">
        <p>Приведен обзор оценки и моделирования напряженного состояния горных пород в околоствольной зоне горизонтальных скважин при проведении кислотного воздействия на пласт с целью повышения эффективности разработки месторождений нефти и газа. Разработана численная конечно-элементная модель околоскважинной зоны продуктивного пласта вскрытого горизонтальным участком ствола скважины на примере одного из нефтяных месторождений Пермского края. Определено распределение физико-механических свойств терригенного коллектора вблизи скважины с учетом трансформации под воздействием глинокислотного реагента для различного периода времени его закачки. Выполнено многовариантное численное моделирование и определено распределение горизонтальных и вертикальных напряжений в околоскважинной зоне с учетом различной величины депрессии на пласт и изменения упруго-прочностных свойств в зависимости от области проникновения глинокислоты. Установлено, что изменение модуля упругости и коэффициента Пуассона под воздействием кислоты приводит к уменьшению напряжений в околоскважинной зоне. Анализ поля распределения напряжений на основе критерия Кулона – Мора показал, что минимальный коэффициент запаса прочности породы даже после воздействия глинокислоты составляет 1,5, таким образом, в рассматриваемых условиях моделирования горизонтальной скважины порода-коллектор остается устойчивой и зон разрушения породы не возникает.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The article presents an overview of the assessment and modelling of the stress state of rocks in the near-wellbore zone of horizontal wells during acid stimulation of the formation for improving the efficiency of oil and gas field development. A numerical finite element model of near-wellbore zone of the reservoir drilled by a horizontal section was compiled using one of oil fields in the Perm Territory as an example. The distribution of physical and mechanical properties of the terrigenous reservoir near the well was determined considering transformation under the action of mud acid for different time periods of its injection. Multivariate numerical simulation was performed and the distribution of horizontal and vertical stresses in near-wellbore zone was determined with regard for different values ​​of pressure drawdown and changes in stress-strain properties depending on the area of ​​mud acid infiltration. It was found that a change in elastic modulus and Poisson's ratio under the influence of acid led to a decrease in stresses in near-wellbore zone. Analysis of the stress distribution field based on the Coulomb – Mohr criterion showed that the minimum safety factor of rock even after the effect of mud acid was 1.5; thus, under the considered conditions of horizontal well modelling, the reservoir rock remained stable, and no zones of rock destruction appeared.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>горизонтальная скважина</kwd>
        <kwd>упруго-прочностные свойства</kwd>
        <kwd>околоскважинная зона</kwd>
        <kwd>численная модель</kwd>
        <kwd>метод конечных элементов</kwd>
        <kwd>напряженное состояние</kwd>
        <kwd>коэффициент запаса прочности</kwd>
        <kwd>кислотная обработка</kwd>
        <kwd>устойчивость стенок ствола скважины</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>horizontal well</kwd>
        <kwd>stress-strain properties</kwd>
        <kwd>near-wellbore zone</kwd>
        <kwd>numerical model</kwd>
        <kwd>finite element method</kwd>
        <kwd>stress state</kwd>
        <kwd>strength safety factor</kwd>
        <kwd>acid treatment</kwd>
        <kwd>wellbore wall stability</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement xml:lang="ru">Работа выполнена в рамках Государственного задания «Исследование свойств нефтегазовых пластовых систем при физическом, геомеханическом и физико-химическом воздействии на трудноизвлекаемые запасы углеводородов для повышения эффективности их освоения» (FMME 2025-0010).</funding-statement>
        <funding-statement xml:lang="en">The work was accomplished under the State assignment “Investigation of properties of oil and gas reservoir systems under physical, geomechanical and physicochemical impact on hard-to-recover hydrocarbon reserves for improving the efficiency of their development” (FMME 2025-0010).</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Peifeng Jia, Chuanzhi Cui, Yingfei Sui et al. Uniform Acid Cleaning Technology and Its Application in Horizontal Wells with Open Hole Screen Tube // Journal of Physics: Conference Series. 2023. Vol. 2594. № 012052. DOI: 10.1088/1742-6596/2594/1/012052</mixed-citation>
        <mixed-citation xml:lang="en">Peifeng Jia, Chuanzhi Cui, Yingfei Sui et al. Uniform Acid Cleaning Technology and Its Application in Horizontal Wells with Open Hole Screen Tube. Journal of Physics: Conference Series. 2023. Vol. 2594. N 012052. DOI: 10.1088/1742-6596/2594/1/012052</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Ганиев Ш.Р., Лысенков А.В., Гафаров Ш.А. Разработка алгоритма выбора скважин и технологий солянокислотного воздействия на карбонатные пласты Республики Башкортостан // Нефтяное хозяйство. 2021. № 2. С. 77-81. DOI: 10.24887/0028-2448-2021-2-77-81</mixed-citation>
        <mixed-citation xml:lang="en">Ganiev Sh.R., Lysenkov A.V., Gafarov Sh.A. Development of an algorithm for wells and technologies selection for hydrochloric acid treatment of carbonate oil-saturated reservoirs in the Republic of Bashkortostan. Oil Industry Journal. 2021. N 2, p. 77-81 (in Russian). DOI: 10.24887/0028-2448-2021-2-77-81</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Кривощеков С.Н., Кочнев А.А., Равелев К.А. Разработка алгоритма определения технологических параметров нагнетания кислотного состава при обработке призабойной зоны пласта с учетом экономической эффективности // Записки Горного института. 2021. Т. 250. С. 587-595. DOI: 10.31897/PMI.2021.4.12</mixed-citation>
        <mixed-citation xml:lang="en">Krivoshchekov S.N., Kochnev A.A., Ravelev K.A. Development of an algorithm for determining the technological parameters of acid composition injection during treatment of the near-bottomhole zone, taking into account economic efficiency. Journal of Mining Institute. 2021. Vol. 250, p. 587-595. DOI: 10.31897/PMI.2021.4.12</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Al-Arji H., Al-Azman A., Le-Hussain F., Regenauer-Lieb K. Acid stimulation in carbonates: A laboratory test of a wormhole model based on Damköhler and Péclet numbers // Journal of Petroleum Science and Engineering. 2021. Vol. 203. № 108593. DOI: 10.1016/j.petrol.2021.108593</mixed-citation>
        <mixed-citation xml:lang="en">Al-Arji H., Al-Azman A., Le-Hussain F., Regenauer-Lieb K. Acid stimulation in carbonates: A laboratory test of a wormhole model based on Damköhler and Péclet numbers. Journal of Petroleum Science and Engineering. 2021. Vol. 203. N 108593. DOI: 10.1016/j.petrol.2021.108593</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Yifan Dong, Yu Lei, Ting Jin et al. Optimized Acidizing Stimulation Technology Achieves Production Increase in Ultra-High Temperature Carbonate Reservoirs // SPE International Hydraulic Fracturing Technology Conference and Exhibition, 12-14 September 2023, Muscat, Sultanate of Oman. OnePetro, 2023. № SPE-215682-MS. DOI: 10.2118/215682-MS</mixed-citation>
        <mixed-citation xml:lang="en">Yifan Dong, Yu Lei, Ting Jin et al. Optimized Acidizing Stimulation Technology Achieves Production Increase in Ultra-High Temperature Carbonate Reservoirs. SPE International Hydraulic Fracturing Technology Conference and Exhibition, 12-14 September 2023, Muscat, Sultanate of Oman. OnePetro, 2023. N SPE-215682-MS. DOI: 10.2118/215682-MS</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Alameedy U., Fatah A., Abbas A.K., Al-Yaseri A. Matrix acidizing in carbonate rocks and the impact on geomechanical properties: A review // Fuel. 2023. Vol. 349. № 128586. DOI: 10.1016/j.fuel.2023.128586</mixed-citation>
        <mixed-citation xml:lang="en">Alameedy U., Fatah A., Abbas A.K., Al-Yaseri A. Matrix acidizing in carbonate rocks and the impact on geomechanical properties: A review. Fuel. 2023. Vol. 349. N 128586. DOI: 10.1016/j.fuel.2023.128586</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Попов С.Н., Сметанников О.Ю. Численное моделирование изменения проницаемости и напряженно-деформированного состояния прискважинной зоны продуктивного пласта при совместном воздействии кислотного состава и изменяющихся эффективных напряжений // Геология, геофизика и разработка нефтяных и газовых месторождений. 2017. № 12. С. 45-53.</mixed-citation>
        <mixed-citation xml:lang="en">Popov S.N., Smetannikov O.Yu. Numerical simulation of permeability and stress-strain state change of the near-well zone of a productive reservoir under the combined action of acid composition and varying effective stresses. Geology, geophysics and development of oil and gas fields. 2017. N 12, p. 45-53 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Plotnikov V.V., Rehachev P.N., Barkovsky N.N. et al. The Effect of Acid Treatments on the Bottom Zone of Clastic Reservoir Rocks of Perm Region // SPE Russian Petroleum Technology Conference and Exhibition, 24-26 October 2016, Moscow, Russia. OnePetro, 2016. № SPE-182063-MS. DOI: 10.2118/182063-MS</mixed-citation>
        <mixed-citation xml:lang="en">Plotnikov V.V., Rehachev P.N., Barkovsky N.N. et al. The Effect of Acid Treatments on the Bottom Zone of Clastic Reservoir Rocks of Perm Region. SPE Russian Petroleum Technology Conference and Exhibition, 24-26 October 2016, Moscow, Russia. OnePetro, 2016. N SPE-182063-MS. DOI: 10.2118/182063-MS</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Mustafa A., Alzaki T., Aljawad M.S. et al. Impact of acid wormhole on the mechanical properties of chalk, limestone, and dolomite: Experimental and modeling studies // Energy Reports. 2022. Vol. 8. P. 605-616. DOI: 10.1016/j.egyr.2021.11.249</mixed-citation>
        <mixed-citation xml:lang="en">Mustafa A., Alzaki T., Aljawad M.S. et al. Impact of acid wormhole on the mechanical properties of chalk, limestone, and dolomite: Experimental and modeling studies. Energy Reports. 2022. Vol. 8, p. 605-616. DOI: 10.1016/j.egyr.2021.11.249</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Alameedy U., Alhaleem A.A., Isah A. et al. Effect of acid treatment on the geomechanical properties of rocks: an experimental investigation in Ahdeb oil field // Journal of Petroleum Exploration and Production Technology. 2022. Vol. 12. Iss. 12. P. 3425-3441. DOI: 10.1007/s13202-022-01533-x</mixed-citation>
        <mixed-citation xml:lang="en">Alameedy U., Alhaleem A.A., Isah A. et al. Effect of acid treatment on the geomechanical properties of rocks: an experimental investigation in Ahdeb oil field. Journal of Petroleum Exploration and Production Technology. 2022. Vol. 12. Iss. 12, p. 3425-3441. DOI: 10.1007/s13202-022-01533-x</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Jahani N., Berge G., Haugen B. Prediction of Rock Strength with Matrix Acidizing Stimulation and Induced Wormhole by Computational Simulation Methods // ISRM Regional Symposium – EUROCK 2014, 27-29 May 2014, Vigo, Spain. OnePetro, 2014. № ISRM-EUROCK-2014-213.</mixed-citation>
        <mixed-citation xml:lang="en">Jahani N., Berge G., Haugen B. Prediction of Rock Strength with Matrix Acidizing Stimulation and Induced Wormhole by Computational Simulation Methods. ISRM Regional Symposium – EUROCK 2014, 27-29 May 2014, Vigo, Spain. OnePetro, 2014. N ISRM-EUROCK-2014-213.</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Жуков В.С., Кузьмин Ю.О. Сопоставление подходов к оценке сжимаемости порового пространства // Записки Горного института. 2022. Т. 258. С.1008-1017. DOI: 10.31897/PMI.2022.97</mixed-citation>
        <mixed-citation xml:lang="en">Zhukov V.S., Kuzmin Yu.О. Comparison of the approaches to assessing the compressibility of the pore space. Journal of Mining Institute. 2022. Vol. 258, p. 1008-1017. DOI: 10.31897/PMI.2022.97</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Петраков Д.Г., Пеньков Г.М., Золотухин А.Б. Экспериментальное исследование горного давления на проницаемость песчаника // Записки Горного института. 2022. Т. 254. С. 244-251. DOI: 10.31897/PMI.2022.24</mixed-citation>
        <mixed-citation xml:lang="en">Petrakov D.G., Penkov G.M., Zolotukhin A.B. Experimental study on the effect of rock pressure on sandstone permeability. Journal of Mining Institute. 2022. Vol. 254, p. 244-251. DOI: 10.31897/PMI.2022.24</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Карев В.И., Коваленко Ю.Ф., Химуля В.В., Шевцов Н.И. Определение параметров направленной разгрузки пласта на основе физического моделирования на установке истинно трехосного нагружения // Записки Горного института. 2022. Т. 258. С. 906-914. DOI: 10.31897/PMI.2022.95</mixed-citation>
        <mixed-citation xml:lang="en">Karev V.I., Kovalenko Yu.F., KhimuliaV.V., Shevtsov N.I. Parameter determination of the method of directional unloading of the reservoirbased on physical modelling on a true triaxial loading setup. Journal of Mining Institute. 2022. Vol. 258, p. 906-914. DOI: 10.31897/PMI.2022.95</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Турегелдиева К.А., Жапбасбаев У.К., Асилбеков Б.К., Золотухин А.Б. Моделирование кислотной обработки призабойной зоны скважины с учетом ее ухудшенных фильтрационно-емкостных характеристик (часть 2) // Нефтяное хозяйство. 2016. № 4. С. 108-110.</mixed-citation>
        <mixed-citation xml:lang="en">Turegeldieva K.A., Zhapbasbayev U.K., Assilbekov B.K., Zolotukhin A.B. Matrix acidizing modeling of near-wellbore with reduced reservoir properties (part 2). Oil Industry Journal. 2016. N 4, p. 108-110 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Deng J., Mou J., Hill A.D., Zhu D. A New Correlation of Acid-Fracture Conductivity Subject to Closure Stress // SPE Production &amp; Operation. 2012. Vol. 27. Iss. 2. P. 158-169. DOI: 10.2118/140402-PA</mixed-citation>
        <mixed-citation xml:lang="en">Deng J., Mou J., Hill A.D., Zhu D. A New Correlation of Acid-Fracture Conductivity Subject to Closure Stress. SPE Production &amp; Operation. 2012. Vol. 27. Iss. 2, p. 158-169. DOI: 10.2118/140402-PA</mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Mingwei Wang, Wen Zhou, Song Li, Wen Wu. Simulated Investigation in Wormhole Expansion Law of Gelling Acid Etching and Its Influencing Factors in Deep Carbonate Reservoirs // Gels. 2022. Vol. 8. Iss. 8. № 470. DOI: 10.3390/gels8080470</mixed-citation>
        <mixed-citation xml:lang="en">Mingwei Wang, Wen Zhou, Song Li, Wen Wu. Simulated Investigation in Wormhole Expansion Law of Gelling Acid Etching and Its Influencing Factors in Deep Carbonate Reservoirs. Gels. 2022. Vol. 8. Iss. 8. N 470. DOI: 10.3390/gels8080470</mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Хасанов М.М., Мальцев А.А. Моделирование кислотной обработки полимиктового коллектора // Записки Горного института. 2021. Т. 251. С. 678-687. DOI: 10.31897/PMI.2021.5.7</mixed-citation>
        <mixed-citation xml:lang="en">Khasanov М.М., Maltcev А.А. Modeling the acid treatment of a polymictic reservoir. Journal of Mining Institute. 2021. Vol. 251, p. 678-687. DOI: 10.31897/PMI.2021.5.7</mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Сулейманова М.В., Трофимчук А.С., Хабибуллин Г.И. Опыт применения нагнетательных горизонтальных скважин при разработке терригенных коллекторов на месторождениях ООО «РН-Юганскнефтегаз» // Нефтяное хозяйство. 2023. № 1. C. 23-27. DOI: 10.24887/0028-2448-2023-1-23-27</mixed-citation>
        <mixed-citation xml:lang="en">Suleymanova M.V., Trofimchuk A.S., Khabibullin G.I. Experience of horizontal injection wells application in the development of terrigenous reservoir of RN-Yuganskneftegas LLC fields. Oil Industry Journal. 2023. N 1, p. 23-27 (in Russian). DOI: 10.24887/0028-2448-2023-1-23-27</mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Деряев А.Р. Управление траекторией скважины и контроль за пространственным положением ствола // SOCAR Proceedings. 2023. Спец. вып. № 2. С. 1-6. DOI: 10.5510/OGP2023SI200870</mixed-citation>
        <mixed-citation xml:lang="en">Deryaev A.R. Well trajectory management and monitoring station position borehole. SOCAR Proceedings. 2023. Special Issue N 2, p. 1-6 (in Russian). DOI: 10.5510/OGP2023SI200870</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Муртазин Р.Р., Аксаков А.В., Ямилев И.М. и др. Исследование развития продольных трещин при проведении гидроразрыва пласта в горизонтальных скважинах // Нефтяное хозяйство. 2023. № 2. C. 90-94. DOI: 10.24887/0028-2448-2023-2-90-94</mixed-citation>
        <mixed-citation xml:lang="en">Murtazin R.R., Aksakov A.V., Yamilev I.M. et al. The study of multiple hydraulic fractures propagation along the horizontal wellbore. Oil Industry Journal. 2023. N 2, p. 90-94. DOI: 10.24887/0028-2448-2023-2-90-94</mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Осоргин П.А., Кашапов А.А., Егоров Е.Л. и др. Опыт реализации систем разработки на основе горизонтальных скважин с множественными гидроразрывами пласта на Приобском лицензионном участке ООО «РН-Юганскнефтегаз» // Нефтяное хозяйство. 2023. № 6. C. 38-43. DOI: 10.24887/0028-2448-2023-6-38-43</mixed-citation>
        <mixed-citation xml:lang="en">Osorgin P.A., Kashapov A.A., Egorov E.L. et al. Development of low-permeable terrigenous reservoirs using horizontal wells with multiple hydraulic fractures at Priobskoye license area of RN-Yuganskneftegas LLC. Oil Industry Journal. 2023. N 6, p. 38-43 (in Russian). DOI: 10.24887/0028-2448-2023-6-38-43</mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Li W., Chen L., Wang X. et al. Acid Fracturing Technology and Effect Evaluation of Carbonate Horizontal Well in Fuman Oilfield // Journal of Physics: Conference Series. 2024. Vol. 2679. № 012010. DOI: 10.1088/1742-6596/2679/1/012010</mixed-citation>
        <mixed-citation xml:lang="en">Li W., Chen L., Wang X. et al. Acid Fracturing Technology and Effect Evaluation of Carbonate Horizontal Well in Fuman Oilfield. Journal of Physics: Conference Series. 2024. Vol. 2679. N 012010. DOI: 10.1088/1742-6596/2679/1/012010</mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Fei Liu, Yu Fan, Li Li et al. Case Study of Successfully Staged Acid Fracturing on the Ultra-Deep Horizontal Well for the Qixia Fm HTHP Tight Carbonate Gas Reservoir in China // Frontiers in Energy Research. 2022. Vol. 10. № 917740. DOI: 10.3389/fenrg.2022.917740</mixed-citation>
        <mixed-citation xml:lang="en">Fei Liu, Yu Fan, Li Li et al. Case Study of Successfully Staged Acid Fracturing on the Ultra-Deep Horizontal Well for the Qixia Fm HTHP Tight Carbonate Gas Reservoir in China. Frontiers in Energy Research. 2022. Vol. 10. N 917740. DOI: 10.3389/fenrg.2022.917740</mixed-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Safari R., Smith C., Fragachan F. Improved Recovery of Carbonate Reservoir by Optimizing Acidizing Strategy; Coupled Wellbore, Reservoir, and Geomechanical Analysis // Abu Dhabi International Petroleum Exhibition &amp; Conference, 13-16 November 2017, Abu Dhabi, United Arab Emirates. OnePetro, 2017. № SPE-188683-MS. DOI: 10.2118/188683-MS</mixed-citation>
        <mixed-citation xml:lang="en">Safari R., Smith C., Fragachan F. Improved Recovery of Carbonate Reservoir by Optimizing Acidizing Strategy; Coupled Wellbore, Reservoir, and Geomechanical Analysis. Abu Dhabi International Petroleum Exhibition &amp; Conference, 13-16 November 2017, Abu Dhabi, United Arab Emirates. OnePetro, 2017. N SPE-188683-MS. DOI: 10.2118/188683-MS</mixed-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Козырев А.С., Ермолаев Н.И., Мишин А.В. и др. Технические решения по стабилизации ствола горизонтальных скважин при наличии угольных отложений // Нефтяное хозяйство. 2023. № 4. C. 28-33. DOI: 10.24887/0028-2448-2023-4-28-33</mixed-citation>
        <mixed-citation xml:lang="en">Kozyrev A.S., Ermolaev N.I., Mishin A.V. et al. Engineering solutions for horizontal wellbore stabilization in the presence of coal deposits. Oil Industry Journal. 2023. N 4, p. 28-33 (in Russian). DOI: 10.24887/0028-2448-2023-4-28-33</mixed-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Двойников М.В., Сидоркин Д.И., Юртаев С.Л. и др. Бурение глубоких и сверхглубоких скважин с целью поиска и разведки новых месторождений полезных ископаемых // Записки Горного института. 2022. Т. 258. С. 945-955. DOI: 10.31897/PMI.2022.55</mixed-citation>
        <mixed-citation xml:lang="en">Dvoynikov M.V., Sidorkin D.I., Yurtaev S.L. et al. Drilling of deep and ultra-deep wells for prospecting and exploration of new raw mineral fields. Journal of Mining Institute. 2022. Vol. 258, p. 945-955. DOI: 10.31897/PMI.2022.55</mixed-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Лутфуллин А.А., Гирфанов И.И., Усманов И.Т., Сотников О.С. Cоздание отечественного программного обеспечения для геомеханического моделирования // Нефтяное хозяйство. 2021. № 7. С. 49-52. DOI: 10.24887/0028-2448-2021-7-49-52</mixed-citation>
        <mixed-citation xml:lang="en">Lutfullin A.A., Girfanov I.I., Usmanov I.T., Sotnikov O.S. Software for geomechanical simulation. Oil Industry Journal. 2021. N 7, p. 49-52 (in Russian). DOI: 10.24887/0028-2448-2021-7-49-52</mixed-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Tappi N., Cherdasa J.R. 1D Geomechanical Model For Wellbore Stability in Z Field, Y Well Sanga Sanga Working Area, Kutai Basin // Journal of Geoscience, Engineering, Environment, and Technology. 2023. Vol. 8. № 02-2. P. 72-84. DOI: 10.25299/jgeet.2023.8.02-2.13871</mixed-citation>
        <mixed-citation xml:lang="en">Tappi N., Cherdasa J.R. 1D Geomechanical Model For Wellbore Stability in Z Field, Y Well Sanga Sanga Working Area, Kutai Basin. Journal of Geoscience, Engineering, Environment, and Technology. 2023. Vol. 8. N 02-2, p. 72-84. DOI: 10.25299/jgeet.2023.8.02-2.13871</mixed-citation>
      </ref>
      <ref id="ref30">
        <label>30</label>
        <mixed-citation xml:lang="ru">Linsheng Wang, Xinpu Shen, Baocheng Wu et al. Integrated Analysis of the 3D Geostress and 1D Geomechanics of an Exploration Well in a New Gas Field // Energies. 2023. Vol. 16. Iss. 2. № 806. DOI: 10.3390/en16020806</mixed-citation>
        <mixed-citation xml:lang="en">Linsheng Wang, Xinpu Shen, Baocheng Wu et al. Integrated Analysis of the 3D Geostress and 1D Geomechanics of an Exploration Well in a New Gas Field. Energies. 2023. Vol. 16. Iss. 2. N 806. DOI: 10.3390/en16020806</mixed-citation>
      </ref>
      <ref id="ref31">
        <label>31</label>
        <mixed-citation xml:lang="ru">Fallahzadeh S.H., Shadizadeh S.R., Pourafshary P., Zare M.R. Modeling the Perforation Stress Profile for Analyzing Hydraulic Fracture Initiation in a Cased Hole // Nigeria Annual International Conference and Exhibition, 31 July – 7 August, 2010, Tinapa – Calabar, Nigeria. OnePetro, 2010. № SPE-136990-MS. DOI: 10.2118/136990-MS</mixed-citation>
        <mixed-citation xml:lang="en">Fallahzadeh S.H., Shadizadeh S.R., Pourafshary P., Zare M.R. Modeling the Perforation Stress Profile for Analyzing Hydraulic Fracture Initiation in a Cased Hole. Nigeria Annual International Conference and Exhibition, 31 July – 7 August, 2010, Tinapa – Calabar, Nigeria. OnePetro, 2010. N SPE-136990-MS. DOI: 10.2118/136990-MS</mixed-citation>
      </ref>
      <ref id="ref32">
        <label>32</label>
        <mixed-citation xml:lang="ru">Магадова Л.А., Сиротин А.Н, Пахомов М.Д., Давлетов З.Р. Определение растворяющей способности фторсодержащих кислотных систем по отношению к кварцевой составляющей породы терригенного коллектора // Территория «Нефтегаз». 2020. № 7-8. С. 72-80.</mixed-citation>
        <mixed-citation xml:lang="en">Magadova L.A., Sirotin A.N., Pakhomov M.D., Davletov Z.R. The Analysis of the Dissolving Ability of Fluorine-Containing Acid Compositions against Silicate Components of Terrigenous Formation. Oil and Gas Territory. 2020. N 7-8, p. 72-80 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref33">
        <label>33</label>
        <mixed-citation xml:lang="ru">Магадова Л.А., Давлетшина Л.Ф., Пахомов М.Д., Давлетов З.Р. Осадкообразование при взаимодействии кислотных составов с минералами терригенного коллектора // Нефтепромысловое дело. 2015. № 9. С. 31-36.</mixed-citation>
        <mixed-citation xml:lang="en">Magadova L.A., Davletshina L.F., Pakhomov M.D., Davletov Z.R. Generation of sedimentation in the interaction with acid compositions of a terrigene reservoir. Oilfield engineering. 2015. N 9, p. 31-36 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref34">
        <label>34</label>
        <mixed-citation xml:lang="ru">Чернышов С.Е., Попов С.Н., Варушкин С.В. и др. Научное обоснование методов вторичного вскрытия фаменских отложений юго-востока Пермского края на основании геомеханического моделирования // Записки Горного института. 2022. Т. 257. С. 732-743. DOI: 10.31897/PMI.2022.51</mixed-citation>
        <mixed-citation xml:lang="en">Chernyshov S.E., Popov S.N., Varushkin S.V. et al. Scientific justification of the perforation methods for Famennian deposits in the southeast of the Perm Region based on geomechanical modelling. Journal of Mining Institute. 2022. Vol. 257, p. 732-743. DOI: 10.2118/206161-PA</mixed-citation>
      </ref>
      <ref id="ref35">
        <label>35</label>
        <mixed-citation xml:lang="ru">Jiecheng Zhang, Moridis G., Blasingame T. Message Passing Interface (MPI) Parallelization of Iteratively Coupled Fluid Flow and Geomechanics Codes for the Simulation of System Behavior in Hydrate-Bearing Geologic Media. Part 1: Methodology and Validation // SPE Reservoir Evaluation &amp; Engineering. 2022. Vol. 25. Iss. 03. P. 600-620. DOI: 10.2118/206161-PA</mixed-citation>
        <mixed-citation xml:lang="en">Jiecheng Zhang, Moridis G., Blasingame T. Message Passing Interface (MPI) Parallelization of Iteratively Coupled Fluid Flow and Geomechanics Codes for the Simulation of System Behavior in Hydrate-Bearing Geologic Media. Part 1: Methodology and Validation. SPE Reservoir Evaluation &amp; Engineering. 2022. Vol. 25. Iss. 03. p. 600-620. DOI: 10.2118/206161-PA</mixed-citation>
      </ref>
      <ref id="ref36">
        <label>36</label>
        <mixed-citation xml:lang="ru">Харламов С.Н., Джанхорбани М., Зайковский В.В. Транспорт шлама буровым раствором в горизонтальных скважинах. Часть 1. Моделирование структуры дисперсных частиц // Известия Томского политехнического университета. Инжиниринг георесурсов. 2023. Т. 334. № 10. С. 34-48. DOI: 10.18799/24131830/2023/10/4433</mixed-citation>
        <mixed-citation xml:lang="en">Kharlamov S.N., Janghorbani M., Zaykovskiy V.V. Transportation of cuttings by drilling mud in horizontal wells. Part 1. Modeling the structure of dispersed currents. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering. 2023. Vol. 334. N 10, р. 34-48 (in Russian). DOI: 10.18799/24131830/2023/10/4433</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
