<?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">JFQTTE</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-16319</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/16319</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">Laboratory studies of hydraulic fracturing of intersecting boreholes in a non-uniform stress field</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Лабораторные исследования особенностей гидравлического разрыва пересекающихся скважин в неоднородном поле напряжений</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Patutin</surname>
            <given-names>Andrey V.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Патутин</surname>
              <given-names>А. В.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Patutin</surname>
              <given-names>Andrey V.</given-names>
            </name>
          </name-alternatives>
          <email>andrey.patutin@gmail.com</email>
          <contrib-id contrib-id-type="orcid">0000-0002-3240-7134</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Институт горного дела им. Н.А.Чинакала СО РАН (Новосибирск, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences (Novosibirsk, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Skulkin</surname>
            <given-names>Aleksandr A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Скулкин</surname>
              <given-names>А. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Skulkin</surname>
              <given-names>Aleksandr A.</given-names>
            </name>
          </name-alternatives>
          <email>chuptt@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0009-0005-7733-7482</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Институт горного дела им. Н.А.Чинакала СО РАН (Новосибирск, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences (Novosibirsk, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Rybalkin</surname>
            <given-names>Leonid A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Рыбалкин</surname>
              <given-names>Л. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Rybalkin</surname>
              <given-names>Leonid A.</given-names>
            </name>
          </name-alternatives>
          <email>leonid.rybalkin@gmail.com</email>
          <contrib-id contrib-id-type="orcid">0000-0003-2648-1909</contrib-id>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Институт горного дела им. Н.А.Чинакала СО РАН (Новосибирск, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences (Novosibirsk, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Drobchik</surname>
            <given-names>Andrey N.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Дробчик</surname>
              <given-names>А. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Drobchik</surname>
              <given-names>Andrey N.</given-names>
            </name>
          </name-alternatives>
          <email>valker.tiamant@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0009-0002-7567-6497</contrib-id>
          <xref ref-type="aff" rid="aff4"/>
        </contrib>
        <aff-alternatives id="aff4">
          <aff>
            <institution xml:lang="ru">Институт горного дела им. Н.А.Чинакала СО РАН (Новосибирск, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences (Novosibirsk, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2025-03-20">
        <day>20</day>
        <month>03</month>
        <year>2025</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2025</year>
      </pub-date>
      <volume>272</volume>
      <fpage>100</fpage>
      <lpage>109</lpage>
      <history>
        <date date-type="received" iso-8601-date="2023-10-02">
          <day>02</day>
          <month>10</month>
          <year>2023</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 А. В. Патутин, А. А. Скулкин, Л. А. Рыбалкин, А. Н. Дробчик</copyright-statement>
        <copyright-statement xml:lang="en">© 2025 Andrey V. Patutin, Aleksandr A. Skulkin, Leonid A. Rybalkin, Andrey N. Drobchik</copyright-statement>
        <copyright-year>2025</copyright-year>
        <copyright-holder xml:lang="ru">А. В. Патутин, А. А. Скулкин, Л. А. Рыбалкин, А. Н. Дробчик</copyright-holder>
        <copyright-holder xml:lang="en">Andrey V. Patutin, Aleksandr A. Skulkin, Leonid A. Rybalkin, Andrey N. Drobchik</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/16319">https://pmi.spmi.ru/pmi/article/view/16319</self-uri>
      <abstract xml:lang="ru">
        <p>Рассмотрены особенности распространения трещины гидроразрыва в пересекающихся скважинах, созданных в блоках полиметилметакрилата в неоднородном поле напряжений. В качестве рабочего флюида использовался водный раствор глицерина и пластилин. Согласно линейной механике разрушения, наличие концентратора напряжений в месте пересечения скважин способствует началу процесса трещинообразования в этой области, а дальнейшее распространение трещины происходит в плоскости, содержащей их оси. Актуальность работы обусловлена поиском новых подходов и разработкой технологических решений по эффективному созданию продольной трещины в массиве горных пород в неблагоприятном для ее развития поле напряжений. Приведена схема работы лабораторного стенда, а также общий вид герметизирующих устройств, использующихся для изолирования заданного интервала при выполнении испытаний. Получены зависимости давления глицерина от времени закачки и определена величина давления разрыва в блоках. Исследована форма трещин, образовавшихся при подаче в систему скважин пластилина. По результатам физического моделирования установлено, что в скважинах происходит преимущественно формирование продольного разрыва, при этом величина поля горизонтальных сжимающих напряжений в большей степени влияет на отклонение траектории продольного разрыва от вертикальной плоскости, содержащей оси скважин, чем увеличение угла между ними. Измерены углы наклона плоскости продольного разрыва при его выходе на боковую грань блока.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>This study focuses on the features of hydraulic fracture propagation in intersecting boreholes in polymethyl methacrylate blocks in a non-uniform stress field. Glycerol aqueous solution and plasticine were used as the working fluids. According to linear fracture mechanics, a stress concentrator at the borehole intersection contributes to the beginning of crack formation, with further crack propagation occurring in the plane containing their axes. The relevance of this study is due to the search for innovative approaches and the development of technological solutions to address the issue of effective longitudinal crack formation and its further propagation in a rock mass under unfavourable stress field conditions. This paper provides a scheme of laboratory stand operation and a general view of the sealing packers used to isolate a specified interval when performing tests. The graphs of glycerol pressure versus injection time are presented, and the breakdown pressure in the blocks is specified. The shape of fractures formed during the indentation of plasticine into the borehole system was investigated. The findings of physical modelling indicate that longitudinal cracks are predominantly formed in the boreholes. The deviation of the crack trajectory from the vertical plane containing the borehole axes is primarily affected by the magnitude of the horizontal compressive stress field rather than the increase in the angle between them. In addition, the angles of inclination of the longitudinal crack plane measured at its intersection with the side face of the block are specified.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>трещина гидроразрыва</kwd>
        <kwd>искусственный блок</kwd>
        <kwd>напряженное состояние</kwd>
        <kwd>лабораторный эксперимент</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>hydraulic fracture</kwd>
        <kwd>artificial block</kwd>
        <kwd>stress state</kwd>
        <kwd>laboratory experiment</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке РНФ и Правительства Новосибирской обл. в рамках научного проекта № 22-27-20061.</funding-statement>
        <funding-statement xml:lang="en">The study was supported by the Russian Science Foundation and the Government of the Novosibirsk region, project N 22-27-20061.</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Koplos J., Tuccillo M.E., Ranalli B. Hydraulic fracturing overview: How, where, and its role in oil and gas // Journal AWWA. 2014. Vol. 106. Iss. 11. P. 38-46. DOI: 10.5942/jawwa.2014.106.0153</mixed-citation>
        <mixed-citation xml:lang="en">Koplos J., Tuccillo M.E., Ranalli B. Hydraulic fracturing overview: How, where, and its role in oil and gas. Journal AWWA. 2014. Vol. 106. Iss. 11, p. 38-46. DOI: 10.5942/jawwa.2014.106.0153</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Bin Chen, Barboza B.R., Yanan Sun et al. A Review of Hydraulic Fracturing Simulation // Archives of Computational Methods in Engineering. 2022. Vol. 29. Iss. 4. P. 2113-2170. DOI: 10.1007/s11831-021-09653-z</mixed-citation>
        <mixed-citation xml:lang="en">Bin Chen, Barboza B.R., Yanan Sun et al. A Review of Hydraulic Fracturing Simulation. Archives of Computational Methods in Engineering. 2022. Vol. 29. Iss. 4, p. 2113-2170. DOI: 10.1007/s11831-021-09653-z</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Филиппов Е.В., Захаров Л.А., Мартюшев Д.А., Пономарева И.Н. Воспроизведение пластового давления методами машинного обучения и исследование его влияния на процесс образования трещин при гидравлическом разрыве пласта // Записки Горного института. 2022. Т. 258. С. 924-932. DOI: 10.31897/PMI.2022.103</mixed-citation>
        <mixed-citation xml:lang="en">Filippov Е.V., Zakharov L.A., Martyushev D.A., Ponomareva I.N. Reproduction of reservoir pressure by machine learning methods and study of its influence on the cracks formation process in hydraulic fracturing. Journal of Mining Institute. 2022. Vol. 258, p. 924-932. DOI: 10.31897/PMI.2022.103</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Босиков И.И., Клюев Р.В., Майер А.В. Комплексная оценка эффективности технологии гидравлического разрыва пласта для проведения скважин при добыче углеводородов // Записки Горного института. 2022. Т. 258. С. 1018-1025. DOI: 10.31897/PMI.2022.98</mixed-citation>
        <mixed-citation xml:lang="en">Bosikov I.I., Klyuev R.V., Mayer A.V. Comprehensive assessment of hydraulic fracturing technology efficiency for well construction during hydrocarbon production. Journal of Mining Institute. 2022. Vol. 258, p. 1018-1025. DOI: 10.31897/PMI.2022.98</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Bakhshi E., Golsanami N., Lianjun Chen. Numerical Modeling and Lattice Method for Characterizing Hydraulic Fracture Propagation: A Review of the Numerical, Experimental, and Field Studies // Archives of Computational Methods in Engineering. 2021. Vol. 28. Iss. 5. P. 3329-3360. DOI: 10.1007/s11831-020-09501-6</mixed-citation>
        <mixed-citation xml:lang="en">Bakhshi E., Golsanami N., Lianjun Chen. Numerical Modeling and Lattice Method for Characterizing Hydraulic Fracture Propagation: A Review of the Numerical, Experimental, and Field Studies. Archives of Computational Methods in Engineering. 2021. Vol. 28. Iss. 5, p. 3329-3360. DOI: 10.1007/s11831-020-09501-6</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Dutler N., Valley B., Gischig V. et al. Hydraulic fracture propagation in a heterogeneous stress field in a crystalline rock mass // Solid Earth. 2019. Vol. 10. Iss. 6. P. 1877-1904. DOI: 10.5194/se-10-1877-2019</mixed-citation>
        <mixed-citation xml:lang="en">Dutler N., Valley B., Gischig V. et al. Hydraulic fracture propagation in a heterogeneous stress field in a crystalline rock mass. Solid Earth. 2019. Vol. 10. Iss. 6, p. 1877-1904. DOI: 10.5194/se-10-1877-2019</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Kang H., Zhang X., Si L. et al. In-situ stress measurements and stress distribution characteristics in underground coal mines in China // Engineering Geology. 2010. Vol. 116. Iss. 3-4. P. 333-345. DOI: 10.1016/j.enggeo.2010.09.015</mixed-citation>
        <mixed-citation xml:lang="en">Kang H., Zhang X., Si L. et al. In-situ stress measurements and stress distribution characteristics in underground coal mines in China. Engineering Geology. 2010. Vol. 116. Iss. 3-4, p. 333-345. DOI: 10.1016/j.enggeo.2010.09.015</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Ловчиков А.В. Различие в опасности горных ударов на рудниках и угольных шахтах // Фундаментальные и прикладные вопросы горных наук. 2017. Т. 4. № 2. С. 105-111.</mixed-citation>
        <mixed-citation xml:lang="en">Lovchikov A.V. Difference in rockburst hazard in ore and coal mines. IOP Conference Series: Earth and Environmental Science. 2018. Vol. 134. N 012039. DOI: 10.1088/1755-1315/134/1/012039</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Qian Li, Yiyu Lu, Zhaolong Ge et al. A New Tree-Type Fracturing Method for Stimulating Coal Seam Gas Reservoirs // Energies. 2017. Vol. 10. Iss. 9. № 1388. DOI: 10.3390/en10091388</mixed-citation>
        <mixed-citation xml:lang="en">Qian Li, Yiyu Lu, Zhaolong Ge et al. A New Tree-Type Fracturing Method for Stimulating Coal Seam Gas Reservoirs. Energies. 2017. Vol. 10. Iss. 9. N 1388. DOI: 10.3390/en10091388</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Yubing Liu, Zuxun Zhang, Bozhi Deng, Minghui Li. Liquid carbon dioxide fracturing application and its effect on gas drainage in low permeability coal seams of underground coal mine // Energy Sources, Part A: Recovery, Utilization, and Environmental Effects. 2023. Vol. 45. Iss. 3. P. 6534-6546. DOI: 10.1080/15567036.2019.1675809</mixed-citation>
        <mixed-citation xml:lang="en">Yubing Liu, Zuxun Zhang, Bozhi Deng, Minghui Li. Liquid carbon dioxide fracturing application and its effect on gas drainage in low permeability coal seams of underground coal mine. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects. 2023. Vol. 45. Iss. 3, p. 6534-6546. DOI: 10.1080/15567036.2019.1675809</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Slastunov S., Kolikov K., Batugin A. et al. Improvement of Intensive In-Seam Gas Drainage Technology at Kirova Mine in Kuznetsk Coal Basin // Energies. 2022. Vol. 15. Iss. 3. № 1047. DOI: 10.3390/en15031047</mixed-citation>
        <mixed-citation xml:lang="en">Slastunov S., Kolikov K., Batugin A. et al. Improvement of Intensive In-Seam Gas Drainage Technology at Kirova Mine in Kuznetsk Coal Basin. Energies. 2022. Vol. 15. Iss. 3. N 1047. DOI: 10.3390/en15031047</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Klishin V.I., Opruk G.Y., Tatsienko A.L. Technology and means of a coal seam interval hydraulic fracturing for the seam degassing intensification // IOP Conference Series: Earth and Environmental Science. 2017. Vol. 53. № 012019. DOI: 10.1088/1755-1315/53/1/012019</mixed-citation>
        <mixed-citation xml:lang="en">Klishin V.I., Opruk G.Y., Tatsienko A.L. Technology and means of a coal seam interval hydraulic fracturing for the seam degassing intensification. IOP Conference Series: Earth and Environmental Science. 2017. Vol. 53. N 012019. DOI: 10.1088/1755-1315/53/1/012019</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Леконцев Ю.М., Сажин П.В. Технология направленного гидроразрыва пород для управления труднообрушающимися кровлями в очистных забоях и дегазации угольных пластов // Физико-технические проблемы разработки полезных ископаемых. 2014. № 5. С. 137-142.</mixed-citation>
        <mixed-citation xml:lang="en">Lekontsev Yu.M., Sazhin P.V. Directional hydraulic fracturing in difficult caving roof control and coal degassing. Journal of Mining Science. 2014. Vol. 50. N 5, p. 914-917. DOI: 10.1134/S106273911405010X</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Jiangwei Liu, Changyou Liu, Qiangling Yao, Guangyao Si. The position of hydraulic fracturing to initiate vertical fractures in hard hanging roof for stress relief // International Journal of Rock Mechanics and Mining Sciences. 2020. Vol. 132. № 104328. DOI: 10.1016/j.ijrmms.2020.104328</mixed-citation>
        <mixed-citation xml:lang="en">Jiangwei Liu, Changyou Liu, Qiangling Yao, Guangyao Si. The position of hydraulic fracturing to initiate vertical fractures in hard hanging roof for stress relief. International Journal of Rock Mechanics and Mining Sciences. 2020. Vol. 132. N 104328. DOI: 10.1016/j.ijrmms.2020.104328</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Wenli Zhai, Fulian He, Liang Li et al. Roof cutting mechanism and surrounding rock control of small pillar along-gob roadway driving in super high coal seam // Bulletin of Engineering Geology and the Environment. 2023. Vol. 82. Iss. 4. № 151. DOI: 10.1007/s10064-023-03189-1</mixed-citation>
        <mixed-citation xml:lang="en">Wenli Zhai, Fulian He, Liang Li et al. Roof cutting mechanism and surrounding rock control of small pillar along-gob roadway driving in super high coal seam. Bulletin of Engineering Geology and the Environment. 2023. Vol. 82. Iss. 4. N 151. DOI: 10.1007/s10064-023-03189-1</mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Yongxin Sun, Yukai Fu, Tao Wang. Field application of directional hydraulic fracturing technology for controlling thick hard roof: a case study // Arabian Journal of Geosciences. 2021. Vol. 14. Iss. 6. № 438. DOI: 10.1007/s12517-021-06790-4</mixed-citation>
        <mixed-citation xml:lang="en">Yongxin Sun, Yukai Fu, Tao Wang. Field application of directional hydraulic fracturing technology for controlling thick hard roof: a case study. Arabian Journal of Geosciences. 2021. Vol. 14. Iss. 6. N 438. DOI: 10.1007/s12517-021-06790-4</mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Shilova T.V., Rybalkin L.A. Study of polymer compositions for formation of impermeable inclusions in rock mass // IOP Conference Series: Earth and Environmental Science. 2022. Vol. 991. № 012008. DOI: 10.1088/1755-1315/991/1/012008</mixed-citation>
        <mixed-citation xml:lang="en">Shilova T.V., Rybalkin L.A. Study of polymer compositions for formation of impermeable inclusions in rock mass. IOP Conference Series: Earth and Environmental Science. 2022. Vol. 991. N 012008. DOI: 10.1088/1755-1315/991/1/012008</mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Сердюков С.В., Курленя М.В., Патутин А.В. К вопросу об измерении напряжений в породном массиве методом гидроразрыва // Физико-технические проблемы разработки полезных ископаемых. 2016. № 6. С. 6-14.</mixed-citation>
        <mixed-citation xml:lang="en">Serdyukov S.V., Kurlenya M.V., Patutin A.V. Hydraulic fracturing for in situ stress measurement. Journal of Mining Science. 2016. Vol. 52. N 6, p. 1031-1038. DOI: 10.1134/S1062739116061563</mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Oldenburg C.M., Dobson P.F., Yuxin Wu et al. Hydraulic fracturing experiments at 1500 m depth in a deep mine: Highlights from the kISMET project // 42nd Workshop on Geothermal Reservoir Engineering, 13-15 February 2017, Stanford, CA, USA. Stanford Geothermal Program, 2017. № SGP-TR-212.</mixed-citation>
        <mixed-citation xml:lang="en">Oldenburg C.M., Dobson P.F., Yuxin Wu et al. Hydraulic fracturing experiments at 1500 m depth in a deep mine: Highlights from the kISMET project. 42nd Workshop on Geothermal Reservoir Engineering, 13-15 February 2017, Stanford, CA, USA. Stanford Geothermal Program, 2017. N SGP-TR-212.</mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Rubtsova E.V., Skulkin A.A. Hydraulic fracturing stress measurement in underground salt rock mines at Upper Kama Deposit // IOP Conference Series: Earth and Environmental Science. 2018. Vol. 134. № 012049. DOI: 10.1088/1755-1315/134/1/012049</mixed-citation>
        <mixed-citation xml:lang="en">Rubtsova E.V., Skulkin A.A. Hydraulic fracturing stress measurement in underground salt rock mines at Upper Kama Deposit. IOP Conference Series: Earth and Environmental Science. 2018. Vol. 134. N 012049. DOI: 10.1088/1755-1315/134/1/012049</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Qiang Xu, Qiangling Yao, Changhao Shan, Chuangkai Zheng. A New Hydraulic Fracturing Instrument to Measure In Situ Stress and Its Application in Chahasu Coal Mine // Geotechnical Testing Journal. 2022. Vol. 45. Iss. 5. P. 901-914. DOI: 10.1520/GTJ20210207</mixed-citation>
        <mixed-citation xml:lang="en">Qiang Xu, Qiangling Yao, Changhao Shan, Chuangkai Zheng. A New Hydraulic Fracturing Instrument to Measure In Situ Stress and Its Application in Chahasu Coal Mine. Geotechnical Testing Journal. 2022. Vol. 45. Iss. 5, p. 901-914. DOI: 10.1520/GTJ20210207</mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Сердюков С.В., Курленя М.В. Применение локального гидроразрыва для интенсификации термогравитационного дренирования пласта // XII Международные научный конгресс и выставка «Интерэкспо ГЕО-Сибирь-2016»: Материалы Международной научной конференции «Экономическое развитие Сибири и Дальнего Востока. Экономика природопользования, землеустройство, лесоустройство, управление недвижимостью», 18-22 апреля 2016, Новосибирск, Россия. Новосибирск: Сибирский государственный университет геосистем и технологий, 2016. Т. 2. С. 8-13.</mixed-citation>
        <mixed-citation xml:lang="en">Serdyukov S.V., Kurlenya M.V. Application of local hydrofrac for the intensification of steam assisted gravity reservoir drainage. XII Mezhdunarodnye nauchnyi kongress i vystavka “Interehkspo GEO-Sibir-2016”: Materialy Mezhdunarodnoi nauchnoi konferentsii “Ehkonomicheskoe razvitie Sibiri i Dalnego Vostoka. Ehkonomika prirodopolzovaniya, zemleustroistvo, lesoustroistvo, upravlenie nedvizhimostyu”, 18-22 April 2016, Novosibirsk, Russia. Novosibirsk: Sibirskii gosudarstvennyi universitet geosistem i tekhnologii, 2016. Vol. 2, p. 8-13 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Yunzhong Jia, Zhaohui Lu, Qiquan Xiong et al. Laboratory characterization of cyclic hydraulic fracturing for deep shale application in Southwest China // International Journal of Rock Mechanics and Mining Sciences. 2021. Vol. 148. № 104945. DOI: 10.1016/j.ijrmms.2021.104945</mixed-citation>
        <mixed-citation xml:lang="en">Yunzhong Jia, Zhaohui Lu, Qiquan Xiong et al. Laboratory characterization of cyclic hydraulic fracturing for deep shale application in Southwest China. International Journal of Rock Mechanics and Mining Sciences. 2021. Vol. 148. N 104945. DOI: 10.1016/j.ijrmms.2021.104945</mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Li Zhuang, Kwang Yeom Kim, Melvin Diaz, Sun Yeom. Evaluation of water saturation effect on mechanical properties and hydraulic fracturing behavior of granite // International Journal of Rock Mechanics and Mining Sciences. 2020. Vol. 130. № 104321. DOI: 10.1016/j.ijrmms.2020.104321</mixed-citation>
        <mixed-citation xml:lang="en">Li Zhuang, Kwang Yeom Kim, Melvin Diaz, Sun Yeom. Evaluation of water saturation effect on mechanical properties and hydraulic fracturing behavior of granite. International Journal of Rock Mechanics and Mining Sciences. 2020. Vol. 130. N 104321. DOI: 10.1016/j.ijrmms.2020.104321</mixed-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Bobrova M., Stanchits S., Shevtsova A. et al. Laboratory Investigation of Hydraulic Fracture Behavior of Unconventional Reservoir Rocks // Geosciences. 2021. Vol. 11. Iss. 7. № 292. DOI: 10.3390/geosciences11070292</mixed-citation>
        <mixed-citation xml:lang="en">Bobrova M., Stanchits S., Shevtsova A. et al. Laboratory Investigation of Hydraulic Fracture Behavior of Unconventional Reservoir Rocks. Geosciences. 2021. Vol. 11. Iss. 7. N 292. DOI: 10.3390/geosciences11070292</mixed-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Deb P., Düber S., Guarnieri Calò Carducci C., Clauser C. Laboratory-scale hydraulic fracturing dataset for benchmarking of enhanced geothermal system simulation tools // Scientific Data. 2020. Vol. 7. № 220. DOI: 10.1038/s41597-020-0564-x</mixed-citation>
        <mixed-citation xml:lang="en">Deb P., Düber S., Guarnieri Calò Carducci C., Clauser C. Laboratory-scale hydraulic fracturing dataset for benchmarking of enhanced geothermal system simulation tools. Scientific Data. 2020. Vol. 7. N 220. DOI: 10.1038/s41597-020-0564-x</mixed-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Patutin A.V., Serdyukov S.V. Laboratory stands for hydraulic fracturing simulation in a nonuniform stress field // IOP Conference Series: Earth and Environmental Science. 2022. Vol. 991. № 012035. DOI: 10.1088/1755-1315/991/1/012035</mixed-citation>
        <mixed-citation xml:lang="en">Patutin A.V., Serdyukov S.V. Laboratory stands for hydraulic fracturing simulation in a nonuniform stress field. IOP Conference Series: Earth and Environmental Science. 2022. Vol. 991. N 012035. DOI: 10.1088/1755-1315/991/1/012035</mixed-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Feiteng Zhang, Xiangyu Wang, Jianbiao Bai et al. Fixed-length roof cutting with vertical hydraulic fracture based on the stress shadow effect: A case study // International Journal of Mining Science and Technology. 2022. Vol. 32. Iss. 2. P. 295-308. DOI: 10.1016/j.ijmst.2021.09.007</mixed-citation>
        <mixed-citation xml:lang="en">Feiteng Zhang, Xiangyu Wang, Jianbiao Bai et al. Fixed-length roof cutting with vertical hydraulic fracture based on the stress shadow effect: A case study. International Journal of Mining Science and Technology. 2022. Vol. 32. Iss. 2, p. 295-308. DOI: 10.1016/j.ijmst.2021.09.007</mixed-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Pavlov V.A., Serdyukov S.V., Martynyuk P.A., Patutin A.V. Optimisation of borehole-jack fracturing technique for in situ stress measurement // International Journal of Geotechnical Engineering. 2019. Vol. 13. Iss. 5. P. 451-457. DOI: 10.1080/19386362.2017.1363347</mixed-citation>
        <mixed-citation xml:lang="en">Pavlov V.A., Serdyukov S.V., Martynyuk P.A., Patutin A.V. Optimisation of borehole-jack fracturing technique for in situ stress measurement. International Journal of Geotechnical Engineering. 2019. Vol. 13. Iss. 5, p. 451-457. DOI: 10.1080/19386362.2017.1363347</mixed-citation>
      </ref>
      <ref id="ref30">
        <label>30</label>
        <mixed-citation xml:lang="ru">Карев В.И., Коваленко Ю.Ф., Устинов К.Б. Моделирование геомеханических процессов в окрестности нефтяных и газовых скважин. М.: Институт проблем механики им. А.Ю.Ишлинского РАН, 2018. 528 с.</mixed-citation>
        <mixed-citation xml:lang="en">Karev V.I., Kovalenko Yu.F., Ustinov K.B. Modeling of geomechanical processes in the vicinity of oil and gas wells. Moscow: Institut problem mekhaniki im. A.Yu.Ishlinskogo RAN, 2018, p. 528 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref31">
        <label>31</label>
        <mixed-citation xml:lang="ru">Shaohua Gai, Zhihong Nie, Xinbin Yi et al. Study on the Interference Law of Staged Fracturing Crack Propagation in Horizontal Wells of Tight Reservoirs // ACS Omega. 2020. Vol. 5. Iss. 18. P. 10327-10338. DOI: 10.1021/acsomega.9b04423</mixed-citation>
        <mixed-citation xml:lang="en">Shaohua Gai, Zhihong Nie, Xinbin Yi et al. Study on the Interference Law of Staged Fracturing Crack Propagation in Horizontal Wells of Tight Reservoirs. ACS Omega. 2020. Vol. 5. Iss. 18, p. 10327-10338. DOI: 10.1021/acsomega.9b04423</mixed-citation>
      </ref>
      <ref id="ref32">
        <label>32</label>
        <mixed-citation xml:lang="ru">Kalam S., Afagwu C., Al Jaberi J. et al. A review on non-aqueous fracturing techniques in unconventional reservoirs // Journal of Natural Gas Science and Engineering. 2021. Vol. 95. № 104223. DOI: 10.1016/j.jngse.2021.104223</mixed-citation>
        <mixed-citation xml:lang="en">Kalam S., Afagwu C., Al Jaberi J. et al. A review on non-aqueous fracturing techniques in unconventional reservoirs. Journal of Natural Gas Science and Engineering. 2021. Vol. 95. N 104223. DOI: 10.1016/j.jngse.2021.104223</mixed-citation>
      </ref>
      <ref id="ref33">
        <label>33</label>
        <mixed-citation xml:lang="ru">Jiangzhan Chen, Xibing Li, Han Cao, Linqi Huang. Experimental investigation of the influence of pulsating hydraulic fracturing on pre-existing fractures propagation in coal // Journal of Petroleum Science and Engineering. 2020. Vol. 189. № 107040. DOI: 10.1016/j.petrol.2020.107040</mixed-citation>
        <mixed-citation xml:lang="en">Jiangzhan Chen, Xibing Li, Han Cao, Linqi Huang. Experimental investigation of the influence of pulsating hydraulic fracturing on pre-existing fractures propagation in coal. Journal of Petroleum Science and Engineering. 2020. Vol. 189. N 107040. DOI: 10.1016/j.petrol.2020.107040</mixed-citation>
      </ref>
      <ref id="ref34">
        <label>34</label>
        <mixed-citation xml:lang="ru">Wenfeng Li, Frash L.P., Carey J.W. et al. Injection Parameters That Promote Branching of Hydraulic Cracks // Geophysical Research Letters. 2021. Vol. 48. Iss. 12. № e2021GL093321. DOI: 10.1029/2021GL093321</mixed-citation>
        <mixed-citation xml:lang="en">Wenfeng Li, Frash L.P., Carey J.W. et al. Injection Parameters That Promote Branching of Hydraulic Cracks. Geophysical Research Letters. 2021. Vol. 48. Iss. 12. N e2021GL093321. DOI: 10.1029/2021GL093321</mixed-citation>
      </ref>
      <ref id="ref35">
        <label>35</label>
        <mixed-citation xml:lang="ru">Tiankui Guo, Zhenhua Rui, Zhanqing Qu, Ning Qi. Experimental study of directional propagation of hydraulic fracture guided by multi-radial slim holes // Journal of Petroleum Science and Engineering. 2018. Vol. 166. P. 592-601. DOI: 10.1016/j.petrol.2018.03.102</mixed-citation>
        <mixed-citation xml:lang="en">Tiankui Guo, Zhenhua Rui, Zhanqing Qu, Ning Qi. Experimental study of directional propagation of hydraulic fracture guided by multi-radial slim holes. Journal of Petroleum Science and Engineering. 2018. Vol. 166, p. 592-601. DOI: 10.1016/j.petrol.2018.03.102</mixed-citation>
      </ref>
      <ref id="ref36">
        <label>36</label>
        <mixed-citation xml:lang="ru">Zhaoquan Guo, Shouceng Tian, Qingling Liu et al. Experimental investigation on the breakdown pressure and fracture propagation of radial borehole fracturing // Journal of Petroleum Science and Engineering. 2022. Vol. 208. Part A. № 109169. DOI: 10.1016/j.petrol.2021.109169</mixed-citation>
        <mixed-citation xml:lang="en">Zhaoquan Guo, Shouceng Tian, Qingling Liu et al. Experimental investigation on the breakdown pressure and fracture propagation of radial borehole fracturing. Journal of Petroleum Science and Engineering. 2022. Vol. 208. Part A. N 109169. DOI: 10.1016/j.petrol.2021.109169</mixed-citation>
      </ref>
      <ref id="ref37">
        <label>37</label>
        <mixed-citation xml:lang="ru">Shaojie Zuo, Zhaolong Ge, Kai Deng et al. Fracture initiation pressure and failure modes of tree-type hydraulic fracturing in gas-bearing coal seams // Journal of Natural Gas Science and Engineering. 2020. Vol. 77. № 103260. DOI: 10.1016/j.jngse.2020.103260</mixed-citation>
        <mixed-citation xml:lang="en">Shaojie Zuo, Zhaolong Ge, Kai Deng et al. Fracture initiation pressure and failure modes of tree-type hydraulic fracturing in gas-bearing coal seams. Journal of Natural Gas Science and Engineering. 2020. Vol. 77. N 103260. DOI: 10.1016/j.jngse.2020.103260</mixed-citation>
      </ref>
      <ref id="ref38">
        <label>38</label>
        <mixed-citation xml:lang="ru">Рубцова Е.В. Стенд трехосного независимого нагружения для физического моделирования процесса измерительного гидроразрыва // XI Международные научный конгресс и выставка «Интерэкспо ГЕО-Сибирь-2015»: Материалы Международной научной конференции «Недропользование. Горное дело. Направления и технологии поиска, разведки и разработки месторождений полезных ископаемых. Геоэкология», 13-25 апреля 2015, Новосибирск, Россия. Новосибирск: Сибирский государственный университет геосистем и технологий, 2015. Т. 3. С. 211-215.</mixed-citation>
        <mixed-citation xml:lang="en">Rubtsova E.V. Three-axial independent loading bench for physical modeling of hydraulic fracturing for stress measurement.  XI Mezhdunarodnye nauchnyi kongress i vystavka “Interehkspo GEO-Sibir-2015”: Materialy Mezhdunarodnoi nauchnoi konferentsii “Nedropolzovanie. Gornoe delo. Napravleniya i tekhnologii poiska, razvedki i razrabotki mestorozhdenii poleznykh iskopaemykh. Geoehkologiya”, 13-25 April 2015, Novosibirsk, Russia. Novosibirsk: Sibirskii gosudarstvennyi universitet geosistem i tekhnologii, 2015. Vol. 3, p. 211-215 (in Russian). </mixed-citation>
      </ref>
      <ref id="ref39">
        <label>39</label>
        <mixed-citation xml:lang="ru">Рубцова Е.В., Скулкин А.А. О физическом моделировании процесса измерительного гидроразрыва в модельных образцах при их неравнокомпонентном нагружении // Проблемы недропользования. 2017. № 2 (13). С. 42-46. DOI: 10.18454/2313-1586.2017.02.042</mixed-citation>
        <mixed-citation xml:lang="en">Rubtsova E., Skulkin A. Physical simulation the process of measurement hydrofracturing in specimen under their non-equicomponent loading. Problems of Subsoil Use. 2017. N 2 (13), p. 42-46 (in Russian). DOI: 10.18454/2313-1586.2017.02.042</mixed-citation>
      </ref>
      <ref id="ref40">
        <label>40</label>
        <mixed-citation xml:lang="ru">Качальский В.Г., Леонтьев А.В., Рубцова Е.В. Портативный регистратор давления в составе комплекса «Гидроразрыв» для экспериментального определения напряжений в массиве горных пород // XV Международный научный конгресс «Интерэкспо ГЕО-Сибирь»: Материалы Международной научной конференции «Недропользование. Горное дело. Направления и технологии поиска, разведки и разработки месторождений полезных ископаемых. Экономика. Геоэкология», 24-26 апреля 2019, Новосибирск, Россия. Новосибирск: Сибирский государственный университет геосистем и технологий, 2019. Т 2. № 4. С. 38-44. DOI: 10.33764/2618-981X-2019-2-4-38-44</mixed-citation>
        <mixed-citation xml:lang="en">Kachalsky V.G., Leontev A.V., Rubtsova E.V. Portable pressure recorder at complex “hydrofracturing” for experimental stress determination in the solid. XV Mezhdunarodnyi nauchnyi kongress “Interehkspo GEO-Sibir”: Materialy Mezhdunarodnoi nauchnoi konferentsii “Nedropolzovanie. Gornoe delo. Napravleniya i tekhnologii poiska, razvedki i razrabotki mestorozhdenii poleznykh iskopaemykh. Ehkonomika. Geoehkologiya”, 24-26 April 2019, Novosibirsk, Russia. Novosibirsk: Sibirskii gosudarstvennyi universitet geosistem i tekhnologii, 2019. Vol. 2. N 4, p. 38-44 (in Russian). DOI: 10.33764/2618-981X-2019-2-4-38-44</mixed-citation>
      </ref>
      <ref id="ref41">
        <label>41</label>
        <mixed-citation xml:lang="ru">Quan Gan, Elsworth D., Alpern J.S. et al. Breakdown pressures due to infiltration and exclusion in finite length boreholes // Journal of Petroleum Science and Engineering. 2015. Vol. 127. P. 329-337. DOI: 10.1016/j.petrol.2015.01.011</mixed-citation>
        <mixed-citation xml:lang="en">Quan Gan, Elsworth D., Alpern J.S. et al. Breakdown pressures due to infiltration and exclusion in finite length boreholes. Journal of Petroleum Science and Engineering. 2015. Vol. 127, p. 329-337. DOI: 10.1016/j.petrol.2015.01.011</mixed-citation>
      </ref>
      <ref id="ref42">
        <label>42</label>
        <mixed-citation xml:lang="ru">Khadraoui S., Hachemi M., Allal A. et al. Numerical and experimental investigation of hydraulic fracture using the synthesized PMMA // Polymer Bulletin. 2021. Vol. 78. Iss. 7. P. 3803-3820. DOI: 10.1007/s00289-020-03300-6</mixed-citation>
        <mixed-citation xml:lang="en">Khadraoui S., Hachemi M., Allal A. et al. Numerical and experimental investigation of hydraulic fracture using the synthesized PMMA. Polymer Bulletin. 2021. Vol. 78. Iss. 7, p. 3803-3820. DOI: 10.1007/s00289-020-03300-6</mixed-citation>
      </ref>
      <ref id="ref43">
        <label>43</label>
        <mixed-citation xml:lang="ru">Mouli-Castillo J., Kendrick J.E., Lightbody A. et al. Cyclical hydraulic pressure pulses reduce breakdown pressure and initiate staged fracture growth in PMMA // Geomechanics and Geophysics for Geo-Energy and Geo-Resources. 2024. Vol. 10. Iss. 1. № 65. DOI: 10.1007/s40948-024-00739-z</mixed-citation>
        <mixed-citation xml:lang="en">Mouli-Castillo J., Kendrick J.E., Lightbody A. et al. Cyclical hydraulic pressure pulses reduce breakdown pressure and initiate staged fracture growth in PMMA. Geomechanics and Geophysics for Geo-Energy and Geo-Resources. 2024. Vol. 10. Iss. 1. N 65. DOI: 10.1007/s40948-024-00739-z</mixed-citation>
      </ref>
      <ref id="ref44">
        <label>44</label>
        <mixed-citation xml:lang="ru">Патутин А.В., Скулкин А.А. Гидравлический разрыв пересекающихся скважин в неоднородном поле напряжений: лабораторные исследования // Физическая мезомеханика. Материалы с многоуровневой иерархически организованной структурой и интеллектуальные производственные технологии: Тезисы докладов Международной конференции, 11-14 сентября 2023, Томск, Россия. Томск: Институт физики прочности и материаловедения СО РАН, 2023. С. 176-177.</mixed-citation>
        <mixed-citation xml:lang="en">Patutin A.V., Skulkin A.A. Hydraulic fracturing of intersecting boreholes in a non-uniform stress field: laboratory studies. Fizicheskaya mezomekhanika. Materialy s mnogourovnevoi ierarkhicheski organizovannoi strukturoi i intellektualnye proizvodstvennye tekhnologii: Tezisy dokladov Mezhdunarodnoi konferentsii, 11-14 September, 2023, Tomsk, Russia. Tomsk: Institut fiziki prochnosti i materialovedeniya SO RAN, 2023, p. 176-177 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref45">
        <label>45</label>
        <mixed-citation xml:lang="ru">Азаров А.В., Патутин А.В., Сердюков С.В. О форме трещин гидроразрыва в окрестности сопряжения скважины с боковым стволом // Физико-технические проблемы разработки полезных ископаемых. 2022. № 5. С. 49-62. DOI: 10.15372/FTPRPI20220505</mixed-citation>
        <mixed-citation xml:lang="en">Azarov A.V., Patutin A.V., Serdyukov S.V. Shapes of Hydraulic Fractures in the Vicinity of Borehole-and-Branch Hole Junction. Journal of Mining Science. 2022. Vol. 58. N 5, p. 741-753. DOI: 10.1134/S1062739122050052</mixed-citation>
      </ref>
      <ref id="ref46">
        <label>46</label>
        <mixed-citation xml:lang="ru">Патутин А.В., Скулкин А.А., Прасолова В.С. Физическое моделирование гидроразрыва скважины с боковым стволом в искусственных блоках // Физико-технические проблемы разработки полезных ископаемых. 2023. № 2. С. 12-20. DOI: 10.15372/FTPRPI20230202</mixed-citation>
        <mixed-citation xml:lang="en">Patutin A.V., Skulkin A.A., Prasolova V.S. Physical Modeling of Hydraulic Fracturing in Branched Borehole in Manmade Block. Journal of Mining Science. 2023. Vol. 59. N 2, p. 191-198. DOI: 10.1134/S1062739123020023</mixed-citation>
      </ref>
      <ref id="ref47">
        <label>47</label>
        <mixed-citation xml:lang="ru">Jing-Nan Dong, Guang-Jie Yuan, Xiang-Yang Wang et al. Experimental study of multi-timescale crack blunting in hydraulic fracture // Petroleum Science. 2021. Vol. 18. Iss. 1. P. 234-244. DOI: 10.1007/s12182-020-00479-1</mixed-citation>
        <mixed-citation xml:lang="en">Jing-Nan Dong, Guang-Jie Yuan, Xiang-Yang Wang et al. Experimental study of multi-timescale crack blunting in hydraulic fracture. Petroleum Science. 2021. Vol. 18. Iss. 1, p. 234-244. DOI: 10.1007/s12182-020-00479-1</mixed-citation>
      </ref>
      <ref id="ref48">
        <label>48</label>
        <mixed-citation xml:lang="ru">Панов А.В., Колыхалов И.В. Численное и экспериментальное моделирование развития продольных трещин множественного гидроразрыва вязким флюидом // XVII Международный научный конгресс «Интерэкспо ГЕО-Сибирь»: Материалы Международной научной конференции «Недропользование. Горное дело. Направления и технологии поиска, разведки и разработки месторождений полезных ископаемых. Экономика. Геоэкология», 19-21 мая 2021, Новосибирск, Россия. Новосибирск: Сибирский государственный университет геосистем и технологий, 2021. Т. 2. № 4. С. 41-51. DOI: 10.33764/2618-981X-2021-2-4-41-51</mixed-citation>
        <mixed-citation xml:lang="en">Panov A.V., Kolykhalov I.V. Numerical and experimental modeling of propagation of longitudinal fractures in multi-stage hydraulic fracturing with viscous fluid. XVII Mezhdunarodnyi nauchnyi kongress “Interehkspo GEO-Sibir”: Materialy Mezhdunarodnoi nauchnoi konferentsii “Nedropolzovanie. Gornoe delo. Napravleniya i tekhnologii poiska, razvedki i razrabotki mestorozhdenii poleznykh iskopaemykh. Ehkonomika. Geoehkologiya”, 19-21 May 2021, Novosibirsk, Russia. Novosibirsk: Sibirskii gosudarstvennyi universitet geosistem i tekhnologii, 2021. Vol. 2. N 4, p. 41-51 (in Russian). DOI: 10.33764/2618-981X-2021-2-4-41-51</mixed-citation>
      </ref>
      <ref id="ref49">
        <label>49</label>
        <mixed-citation xml:lang="ru">Zi-Xiao Xie, Xiao-Guang Wu, Teng-Da Long et al. Visualization of hydraulic fracture interacting with pre-existing fracture // Petroleum Science. 2023. Vol. 20. Iss. 6. P. 3723-3735. DOI: 10.1016/j.petsci.2023.07.014</mixed-citation>
        <mixed-citation xml:lang="en">Zi-Xiao Xie, Xiao-Guang Wu, Teng-Da Long et al. Visualization of hydraulic fracture interacting with pre-existing fracture. Petroleum Science. 2023. Vol. 20. Iss. 6, p. 3723-3735. DOI: 10.1016/j.petsci.2023.07.014</mixed-citation>
      </ref>
      <ref id="ref50">
        <label>50</label>
        <mixed-citation xml:lang="ru">Leontiev A., Rubtsova E. Analysis of Crack Formation in Model Specimens During Hydraulic Fracturing in Holes // Trigger Effects in Geosystems. Springer, 2019. P. 247-256. DOI: 10.1007/978-3-030-31970-0_27</mixed-citation>
        <mixed-citation xml:lang="en">Leontiev A., Rubtsova E. Analysis of Crack Formation in Model Specimens During Hydraulic Fracturing in Holes. Trigger Effects in Geosystems. Springer, 2019, p. 247-256. DOI: 10.1007/978-3-030-31970-0_27</mixed-citation>
      </ref>
      <ref id="ref51">
        <label>51</label>
        <mixed-citation xml:lang="ru">Qiao Lu, EI-Fayoumi A., Adachi J. et al. Laboratory demonstration of the impact of weak interfaces and layered rock properties on hydraulic fracture containment and height growth // Geomechanics and Geophysics for Geo-Energy and Geo-Resources. 2023. Vol. 9. Iss. 1. № 113. DOI: 10.1007/s40948-023-00649-6</mixed-citation>
        <mixed-citation xml:lang="en">Qiao Lu, EI-Fayoumi A., Adachi J. et al. Laboratory demonstration of the impact of weak interfaces and layered rock properties on hydraulic fracture containment and height growth. Geomechanics and Geophysics for Geo-Energy and Geo-Resources. 2023. Vol. 9. Iss. 1. N 113. DOI: 10.1007/s40948-023-00649-6</mixed-citation>
      </ref>
      <ref id="ref52">
        <label>52</label>
        <mixed-citation xml:lang="ru">Кю Н.Г. Создание сопряженных ориентированных трещин флюидоразрывом породного массива с использованием скважин в качестве направляющих его фронта // Физико-технические проблемы разработки полезных ископаемых. 2020. № 5. С. 115-124. DOI: 10.15372/FTPRPI20200513</mixed-citation>
        <mixed-citation xml:lang="en">Kyu N.G. Directional Conjugate Fracturing in Rock Mass Using Holes as Plastic Fluid Front Guides. Journal of Mining Science. 2020. Vol. 56. N 5, p. 784-792. DOI: 10.1134/S1062739120057117</mixed-citation>
      </ref>
      <ref id="ref53">
        <label>53</label>
        <mixed-citation xml:lang="ru">Коноплев Ю.П., Демченко А.Г., Демченко А.А. Нефтяная шахта – технология, позволяющая обеспечить половину добычи нефти в XXI в. на открытых и отработанных месторождениях России // Недропользование XXI век. 2020. № 1 (83). С. 46-55.</mixed-citation>
        <mixed-citation xml:lang="en">Konoplev Yu.P., Demchenko A.G., Demchenko A.A. Oil mine – a technology that is capable of providing half of oil production in the 21st century in the open and developed fields of Russia. Nedropolzovanie XXI vek. 2020. N 1 (83), p. 46-55 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref54">
        <label>54</label>
        <mixed-citation xml:lang="ru">Лизункин М.В., Бейдин А.В. Оценка напряженно-деформированного состояния массива горных пород Стрельцовского рудного поля // Геомеханика в горном деле: Доклады Всероссийской научно-технической конференции с международным участием, 4-5 июня 2014, Екатеринбург, Россия. Екатеринбург: Уральское отделение РАН, 2014. С. 30-38.</mixed-citation>
        <mixed-citation xml:lang="en">Lizunkin M.V., Beidin A.V. Assessment of the stress-strain state of the rock massif of the Streltsovsky ore field. Geomekhanika v gornom dele: Doklady Vserossiiskoi nauchno-tekhnicheskoi konferentsii s mezhdunarodnym uchastiem, 4-5 June 2014, Ekaterinburg, Russia. Ekaterinburg: Uralskoe otdelenie RAN, 2014, p. 30-38 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref55">
        <label>55</label>
        <mixed-citation xml:lang="ru">Белов С.В. Горногеологические и горнотехнические условия разработки углей на участке «Поле шахты Карагайлинская» // Междисциплинарные подходы в биологии, медицине и науках о Земле: теоретические и прикладные аспекты: Материалы симпозиума XVIII (L) Международной научной конференции студентов, аспирантов и молодых ученых «Образование, наука, инновации: вклад молодых исследователей», приуроченной к 50-летию КемГУ, 24-29 апреля 2023, Кемерово, Россия. Кемерово: Кемеровский государственный университет, 2023. Вып. 24. С. 118-120.</mixed-citation>
        <mixed-citation xml:lang="en">Belov S.V. Geological and engineering mining conditions of coal development at the “Karagaylinskaya mine field”. Mezhdistsiplinarnye podkhody v biologii, meditsine i naukakh o Zemle: teoreticheskie i prikladnye aspekty: Materialy simpoziuma XVIII (L) Mezhdunarodnoi nauchnoi konferentsii studentov, aspirantov i molodykh uchenykh “Obrazovanie, nauka, innovatsii: vklad molodykh issledovatelei”, priurochennoi k 50-letiyu KeMGU, 24-29 April 2023, Kemerovo, Russia. Kemerovo: Kemerovskii gosudarstvennyi universitet, 2023. Iss. 24, p. 118-120 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref56">
        <label>56</label>
        <mixed-citation xml:lang="ru">Kang H., Zhang X., Si L. et al. In-situ stress measurements and stress distribution characteristics in underground coal mines in China // Engineering Geology. 2010. Vol. 116. Iss. 3-4. P. 333-345. DOI: 10.1016/j.enggeo.2010.09.015</mixed-citation>
        <mixed-citation xml:lang="en">Kang H., Zhang X., Si L. et al. In-situ stress measurements and stress distribution characteristics in underground coal mines in China. Engineering Geology. 2010. Vol. 116. Iss. 3-4, p. 333-345. DOI: 10.1016/j.enggeo.2010.09.015</mixed-citation>
      </ref>
      <ref id="ref57">
        <label>57</label>
        <mixed-citation xml:lang="ru">Козырев А.А. Современные результаты экспериментального изучения природных напряжений в верхней части земной коры и проблемы горного давления // Геомеханика в горном деле: Доклады Всероссийской научно-технической конференции с международным участием, 4-5 июня 2014, Екатеринбург, Россия. Екатеринбург: Уральское отделение РАН, 2014. С. 39-53.</mixed-citation>
        <mixed-citation xml:lang="en">Kozyrev A.A. Modern results of experimental study of natural stresses in the upper part of the Earth's crust and the problem of overburden pressure. Geomekhanika v gornom dele: Doklady Vserossiiskoi nauchno-tekhnicheskoi konferentsii s mezhdunarodnym uchastiem, 4-5 June 2014, Ekaterinburg, Russia. Ekaterinburg: Uralskoe otdelenie RAN, 2014, p. 39-53 (in Russian)</mixed-citation>
      </ref>
      <ref id="ref58">
        <label>58</label>
        <mixed-citation xml:lang="ru">Peng Li, Meifeng Cai, Qifeng Guo et al. Current stress field and its relationship to tectonism in a coal mining district, central China, for underground coal energy exploration // Energy Reports. 2022. Vol. 8. P. 5313-5328. DOI: 10.1016/j.egyr.2022.04.008</mixed-citation>
        <mixed-citation xml:lang="en">Peng Li, Meifeng Cai, Qifeng Guo et al. Current stress field and its relationship to tectonism in a coal mining district, central China, for underground coal energy exploration. Energy Reports. 2022. Vol. 8, p. 5313-5328. DOI: 10.1016/j.egyr.2022.04.008</mixed-citation>
      </ref>
      <ref id="ref59">
        <label>59</label>
        <mixed-citation xml:lang="ru">Патент № 2730688 РФ. Способ направленного гидроразрыва угольного пласта / С.В.Сердюков, А.В.Патутин, А.В.Азаров, Л.А.Рыбалкин, Т.В.Шилова. Опубл. 25.08.2020. Бюл. № 24.</mixed-citation>
        <mixed-citation xml:lang="en">Serdyukov S.V., Patutin A.V., Azarov A.V., Rybalkin L.A., Shilova T.V. Patent N 2730688 RF. Method of directed hydraulic fracturing of coal bed. Publ. 25.08.2020. Bul. N 24 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref60">
        <label>60</label>
        <mixed-citation xml:lang="ru">Langbauer C., Tehrani F.F., Mastobaev B. A holistic review on hydraulic fracturing stimulation laboratory experiments and their transition to enhanced geothermal system field research and operations // Liquid and Gaseous Energy Resources. 2021. Vol. 1. Iss. 1. P. 30-63. DOI: 10.21595/lger.2021.22043</mixed-citation>
        <mixed-citation xml:lang="en">Langbauer C., Tehrani F.F., Mastobaev B. A holistic review on hydraulic fracturing stimulation laboratory experiments and their transition to enhanced geothermal system field research and operations. Liquid and Gaseous Energy Resources. 2021. Vol. 1. Iss. 1, p. 30-63. DOI: 10.21595/lger.2021.22043</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
