<?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">TJNVLR</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-16502</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/16502</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">Methods of intensification of pipeline transportation of hydraulic mixtures when backfilling mined-out spaces</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Методы интенсификации трубопроводного транспортирования гидросмесей при закладке выработанного пространства</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Vasilyeva</surname>
            <given-names>Maria A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Васильева</surname>
              <given-names>М. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Vasilyeva</surname>
              <given-names>Maria A.</given-names>
            </name>
          </name-alternatives>
          <email>saturn.sun@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0003-2594-748X</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины II (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Empress Catherine ΙΙ Saint Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Golik</surname>
            <given-names>Vladimir I.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Голик</surname>
              <given-names>В. И.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Golik</surname>
              <given-names>Vladimir I.</given-names>
            </name>
          </name-alternatives>
          <email>v.i.golik@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-1181-8452</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Северо-Кавказский горно-металлургический институт (государственный технологический университет) (Владикавказ, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">North Caucasus Mining  and Metallurgical Institute (State Technological University) (Vladikavkaz, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Zelentsova</surname>
            <given-names>Anna A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Зеленцова</surname>
              <given-names>А. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Zelentsova</surname>
              <given-names>Anna A.</given-names>
            </name>
          </name-alternatives>
          <email>eskanord@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0003-4773-3028</contrib-id>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины II (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Empress Catherine ΙΙ Saint Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2024-12-24">
        <day>24</day>
        <month>12</month>
        <year>2024</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2025</year>
      </pub-date>
      <volume>274</volume>
      <fpage>104</fpage>
      <lpage>116</lpage>
      <history>
        <date date-type="received" iso-8601-date="2024-05-28">
          <day>28</day>
          <month>05</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="2025-08-25">
          <day>25</day>
          <month>08</month>
          <year>2025</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2024 М. А. Васильева, В. И. Голик, А. А. Зеленцова</copyright-statement>
        <copyright-statement xml:lang="en">© 2024 Maria A. Vasilyeva, Vladimir I. Golik, Anna A. Zelentsova</copyright-statement>
        <copyright-year>2024</copyright-year>
        <copyright-holder xml:lang="ru">М. А. Васильева, В. И. Голик, А. А. Зеленцова</copyright-holder>
        <copyright-holder xml:lang="en">Maria A. Vasilyeva, Vladimir I. Golik, Anna A. Zelentsova</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/16502">https://pmi.spmi.ru/pmi/article/view/16502</self-uri>
      <abstract xml:lang="ru">
        <p>В работе представлен анализ преимуществ и ограничений дополнительных мер интенсификации транспортирования потока закладочной гидросмеси. Показаны результаты анализа условий применения насосного оборудования для перемещения потоков с различными реологическими свойствами. Приведены обобщения способов влияния на внутреннее сопротивление закладочных гидросмесей посредством механической активации, а также повышения текучести благодаря применению химических добавок. Представлены результаты исследований, подтверждающих целесообразность применения труб с полимерной футеровкой, которая показала свою эффективность при перекачивании потоков гидросмесей с различной концентрацией наполнителя. Разработана аналитическая модель движения гидросмеси в трубопроводе закладочного комплекса. Тенденции изменения давления, необходимого для обеспечения перемещения гидросмеси в трубопроводах различного диаметра, имеют экспоненциальный характер при условии постоянства свойств потока. Выполнена оценка влияния крупности частиц на режим движения формируемого гетерогенного потока, а также на распределение плотности потока по сечению, характеризующая расслоение и изменение реологических свойств закладочной гидросмеси. Сформулирована аналитическая модель централизованной миграции дисперсной фазы потока гидросмеси, описывающая влияние турбулентного перемешивания потока на поведение твердых частиц. Выполнена оценка вторичной диспергации твердой фракции гидросмеси, обуславливающая изменение консистенции потока. Выполненные исследования влияния коэффициента консистенции потока выявили, что переизмельчение фракций наполнителя гидросмеси способствует возрастанию потребного напора в трубопроводной системе.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The paper presents an analysis of the advantages and limitations of additional measures to intensify the transportation of the backfill hydraulic mixture flow. The results of the analysis of the conditions for using pumping equipment to move flows with different rheological properties are shown. Generalizations of the methods for influencing the internal resistance of backfill hydraulic mixtures by means of mechanical activation, as well as increasing fluidity due to the use of chemical additives are given. The article presents the results of studies confirming the feasibility of using pipes with polymer lining, which has proven its efficiency in pumping flows of hydraulic mixtures with different filler concentrations. An analytical model of hydraulic mixture movement in the pipeline of the stowage complex has been developed. The trends in pressure change required to ensure the movement of hydraulic mixture in pipelines of different diameters are exponential, provided that the flow properties are constant. The effect of particle size on the motion mode of the formed heterogeneous flow, as well as on the distribution of flow density over the cross-section, characterizing the stratification and change in the rheological properties of the backfill hydraulic mixture, is assessed. An analytical model of centralized migration of the dispersed phase of the hydraulic mixture flow is formulated, describing the effect of turbulent mixing of the flow on the behavior of solid particles. An assessment of the secondary dispersion of the solid fraction of the hydraulic mixture, which causes a change in the consistency of the flow, was performed. The studies of the influence of the coefficient of consistency of the flow revealed that overgrinding of the fractions of the filler of the hydraulic mixture contributes to an increase in the required pressure in the pipeline system.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>закладка выработанного пространства</kwd>
        <kwd>трубопроводный транспорт</kwd>
        <kwd>напор</kwd>
        <kwd>вспомогательное оборудование</kwd>
        <kwd>гетерогенный поток</kwd>
        <kwd>реологические характеристики</kwd>
        <kwd>консистенция</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>mined out space filling</kwd>
        <kwd>pipeline transport</kwd>
        <kwd>pressure</kwd>
        <kwd>auxiliary equipment</kwd>
        <kwd>heterogeneous flow</kwd>
        <kwd>rheological characteristics</kwd>
        <kwd>consistency</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement xml:lang="ru">Работа выполнена в рамках государственного задания Министерства науки и высшего образования Российской Федерации (FSRW-2023-0002. Фундаментальные междисциплинарные исследования недр Земли и процессов комплексного освоения георесурсов).</funding-statement>
        <funding-statement xml:lang="en">The work was carried out within the framework of the state assignment of the Ministry of Science and Higher Education of the Russian Federation (FSRW-2023-0002. Fundamental interdisciplinary research of the Earth's interior and processes of integrated development of georesources).</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Haoxuan Yu, Shuai Li, Xinmin Wang. The Recent Progress China Has Made in the Backfill Mining Method, Part I: The Theory and Equipment of Backfill Pipeline Transportation // Minerals. 2021. Vol. 11. Iss. 11. № 1274. DOI: 10.3390/min11111274</mixed-citation>
        <mixed-citation xml:lang="en">Haoxuan Yu, Shuai Li, Xinmin Wang. The Recent Progress China Has Made in the Backfill Mining Method, Part I: The Theory and Equipment of Backfill Pipeline Transportation. Minerals. 2021. Vol. 11. Iss. 11. N 1274. DOI: 10.3390/min11111274</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Шабаров А.Н., Куранов А.Д. Основные направления развития горнодобывающей отрасли в усложняющихся горнотехнических условиях ведения горных работ // Горный журнал. 2023. № 5. С. 5-10. DOI: 10.17580/gzh.2023.05.01</mixed-citation>
        <mixed-citation xml:lang="en">Shabarov A.N., Kuranov A.D. Basic development trends in mining sector in complicating geotechnical conditions. Gornyi zhurnal. 2023. N 5, p. 5-10 (in Russian). DOI: 10.17580/gzh.2023.05.01</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Шабаров А.Н., Носков В.А., Павлович А.А., Черепов А.А. Понятие геомеханического риска при ведении открытых горных работ // Горный журнал. 2022. № 9. С. 22-28. DOI: 10.17580/gzh.2022.09.04</mixed-citation>
        <mixed-citation xml:lang="en">Shabarov A.N., Noskov V.A., Pavlovich A.A., Cherepov A.A. Concept of geomechanical risk in open pit mining. Gornyi zhurnal. 2022. N 9, p. 22-28 (in Russian). DOI: 10.17580/gzh.2022.09.04</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Shuai Li, Zeming Zhao, Haoxuan Yu, Xinmin Wang. The Recent Progress China Has Made in the Backfill Mining Method, Part II: The Composition and Typical Examples of Backfill Systems // Minerals. 2021. Vol. 11. Iss. 12. № 1362. DOI: 10.3390/min11121362</mixed-citation>
        <mixed-citation xml:lang="en">Shuai Li, Zeming Zhao, Haoxuan Yu, Xinmin Wang. The Recent Progress China Has Made in the Backfill Mining Method, Part II: The Composition and Typical Examples of Backfill Systems. Minerals. 2021. Vol. 11. Iss. 12. N 1362. DOI: 10.3390/min11121362</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Неверов А.А., Неверов С.А., Кудря А.О. Слоевая система разработки при освоении глубоких горизонтов месторождений // Известия Тульского государственного университета. Науки о Земле. 2022. Вып. 4. С. 273-287.</mixed-citation>
        <mixed-citation xml:lang="en">Neverov A.A., Neverov S.A., Kudrya A.O. Layered development system for the development of deep horizons of deposits. News of the Tula state university. Sciences of Earth. 2022. Iss. 4, p. 273-287 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Рассказов И.Ю., Потапчук Г.М., Мирошников В.И., Рассказова М.И. Оценка напряженно-деформированного состояния элементов системы разработки с закладкой с нисходящей выемкой // Горный информационно-аналитический бюллетень. 2008. № 11. С. 116-124.</mixed-citation>
        <mixed-citation xml:lang="en">Rasskazov I.Yu., Potapchuk G.M., Miroshnikov V.I., Rasskazova M.I. Assessment of the stress-strain state of elements of a development system with a backfill with a downward cut. Mining Informational and Analytical Bulletin. 2008. N 11. С. 116-124.</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Крупник Л.А., Шапошник Ю.Н., Шапошник С.Н. Пути повышения устойчивости обнажений закладочного массива на рудниках Казахстана // Горный информационно-аналитический бюллетень. 2017. № 3. С. 319-327.</mixed-citation>
        <mixed-citation xml:lang="en">Krupnik L.A., Shaposhnik Yu.N., Shaposhnik S.N. Ways of improving filling mass outcrop stability at the mines of Kazakhstan. Mining Informational and Analytical Bulletin. 2017. N 3, p. 319-327 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Ковальский Е.Р., Громцев К.В., Петров Д.Н. Моделирование процесса деформирования междукамерных целиков в условиях закладки очистных камер // Горный информационно-аналитический бюллетень. 2020. № 9. С. 87-101. DOI: 10.25018/0236-1493-2020-9-0-87-101</mixed-citation>
        <mixed-citation xml:lang="en">Kovalski E.R., Gromtsev K.V., Petrov D.N. Modeling deformation of rib pillars during backfill. Mining Informational and Analytical Bulletin. 2020. N 9, p. 87-101 (in Russian). DOI: 10.25018/0236-1493-2020-8-0-87-101</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Dino G.A., Cavallo A., Rossetti P. et al. Towards Sustainable Mining: Exploiting Raw Materials from Extractive Waste Facilities // Sustainability. 2020. Vol. 12. Iss. 6. № 2383. DOI: 10.3390/su12062383</mixed-citation>
        <mixed-citation xml:lang="en">Dino G.A., Cavallo A., Rossetti P. et al. Towards Sustainable Mining: Exploiting Raw Materials from Extractive Waste Facilities. Sustainability. 2020. Vol. 12. Iss. 6. N 2383. DOI: 10.3390/su12062383</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Зубов В.П., Ковальский Е.Р., Антонов С.В., Пачгин В.В. Повышение безопасности рудников при отработке Верхнекамского месторождения калийно-магниевых солей // Горный информационно-аналитический бюллетень. 2019. № 5. C. 22-33. DOI: 10.25018/0236-1493-2019-05-0-22-33</mixed-citation>
        <mixed-citation xml:lang="en">Zubov V.P., Kovalski E.R., Antonov S.V., Pachgin V.V. Improving the safety of mines in developing Verkhnekamsk potassium and magnesium salts. Mining Informational and Analytical Bulletin. 2019. N 5, p. 22-33 (in Russian). DOI: 10.25018/0236-1493-2019-05-0-22-33</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Kumar M., Kumar G. Numerical prediction of slurry flows through 90° bend pipelines // Materials Today: Proceedings. 2023 (Online first). DOI: 10.1016/j.matpr.2023.01.382</mixed-citation>
        <mixed-citation xml:lang="en">Kumar M., Kumar G. Numerical prediction of slurry flows through 90° bend pipelines. Materials Today: Proceedings. 2023 (Online first). DOI: 10.1016/j.matpr.2023.01.382</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Samson R., Biello J.A. Longitudinal instability of slurry pipeline flow // International Journal of Multiphase Flow. 2017. Vol. 90. P. 57-63. DOI: 10.1016/j.ijmultiphaseflow.2016.12.005</mixed-citation>
        <mixed-citation xml:lang="en">Samson R., Biello J.A. Longitudinal instability of slurry pipeline flow. International Journal of Multiphase Flow. 2017. Vol. 90, p. 57-63. DOI: 10.1016/j.ijmultiphaseflow.2016.12.005</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Ляшенко В.И., Франчук В.П. Повышение эффективности и безопасности трубопроводного транспорта твердеющих закладочных смесей в глубокие шахты // Известия высших учебных заведений. Горный журнал. 2021. № 1. С. 15-26. DOI: 10.21440/0536-1028-2021-1-15-26</mixed-citation>
        <mixed-citation xml:lang="en">Liashenko V.I., Franchuk V.P. Improving the efficiency and safety of hardening filling mixtures pipeline transport to deep mines. News of the Higher Institutions. Mining Journal. 2021. N 1, p. 15-26 (in Russian). DOI: 10.21440/0536-1028-2021-1-15-26</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Агиней Р.В., Фирстов А.А. Совершенствование метода оценки изгибных напряжений в стенке подземного трубопровода // Записки Горного института. 2022. Т. 257. С. 744-754. DOI: 10.31897/PMI.2022.64</mixed-citation>
        <mixed-citation xml:lang="en">Aginey R.V., Firstov A.A. Improving the method for assessment of bending stresses in the wall of an underground pipeline. Journal of Mining Institute. 2022. Vol. 257, p. 744-754. DOI: 10.31897/PMI.2022.64</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Александров В.И., Кибирев В.И. Расчетная методика определения параметров напорного гидротранспорта хвостов обогащения руд // Обогащение руд. 2009. № 4. С. 39-41.</mixed-citation>
        <mixed-citation xml:lang="en">Aleksandrov V.I., Kibirev V.I. Calculation method for mineral processing tailings delivery hydrotransport parameters determination. Obogashchenie rud. 2009. N 4, p. 39-41 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Большунова О.М., Ватлина А.М., Коржев А.А. Влияние концентрации гидросмеси на энергоэффективность работы системы насос-пульпопровод // Инновации и перспективы развития горного машиностроения и электромеханики: IPDME-2021: Сборник тезисов VIII Международной научно-практической конференции, 22-23 апреля 2021, Санкт-Петербург, Россия. СПб: Санкт-Петербургский горный университет, 2021. С. 147-149.</mixed-citation>
        <mixed-citation xml:lang="en">Bolshunova O.M., Vatlina A.M., Korzhev A.A. Influence of the concentration of slurry on the energy efficiency of the pump-pulp pipeline system. Innovatsii i perspektivy razvitiya gornogo mashinostroeniya i elektromekhaniki: IPDME-2021: Sbornik tezisov VIII Mezhdunarodnoi nauchno-prakticheskoi konferentsii, 22-23 April 2021, Saint Petersburg, Russia. Saint Petersburg: Saint Petersburg Mining University, 2021, p. 147-149 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Александрова Т.Н., Потемкин В.А. Разработка методики оценки процесса гидроциклонирования c учетом реологических параметров минеральной суспензии // Записки Горного института. 2021. Т. 252. С. 908-916. DOI: 10.31897/PMI.2021.6.12</mixed-citation>
        <mixed-citation xml:lang="en">Aleksandrova T.N., Potemkin V.A. Development of a methodology to assess the hydrocyclone process with account of the rheological properties of the mineral slurry. Journal of Mining Institute. 2021. Vol. 252, p. 908-916. DOI: 10.31897/PMI.2021.6.12</mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Iordanov I., Novikova Yu., Simonova Yu. et al. Experimental characteristics for deformation properties of backfill mass // Mining of Mineral Deposits. 2020. Vol. 14. Iss. 3. P. 119-127. DOI: 10.33271/mining14.03.119</mixed-citation>
        <mixed-citation xml:lang="en">Iordanov I., Novikova Yu., Simonova Yu. et al. Experimental characteristics for deformation properties of backfill mass. Mining of Mineral Deposits. 2020. Vol. 14. Iss. 3, p. 119-127. DOI: 10.33271/mining14.03.119</mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Конгар-Сюрюн Ч.Б., Фараджов В.В., Тюляева Ю.С., Хайрутдинов А.М. Исследование влияния активационной обработки на галитовые отходы обогащения при приготовлении закладочной смеси // Горный информационно-аналитический бюллетень. 2021. № 1. С. 43-57. DOI: 10.25018/0236-1493-2021-1-0-43-57</mixed-citation>
        <mixed-citation xml:lang="en">Kongar-Syuryun Ch.B., Faradzhov V.V., Tyulyaeva Yu.S., Khairutdinov A.M. Effect of activating treatment of haliteflotation waste in backfill mixture preparation. Mining Informational and Analytical Bulletin. 2021. N 1, p. 43-57 (in Russian). DOI: 10.25018/0236-1493-2021-1-0-43-57</mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Avksentiev S.Yu., Avksentieva E.Yu. Determining the Parameters of the Hydraulic Transport of Tailings for Processing Iron Ore // IOP Conference Series: Earth and Environmental Science. 2018. Vol. 194. № 032003. DOI: 10.1088/1755-1315/194/3/032003</mixed-citation>
        <mixed-citation xml:lang="en">Avksentiev S.Yu., Avksentieva E.Yu. Determining the Parameters of the Hydraulic Transport of Tailings for Processing Iron Ore. IOP Conference Series: Earth and Environmental Science. 2018. Vol. 194. N 032003. DOI: 10.1088/1755-1315/194/3/032003</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Xian-qing Wang, Wen Wan, Zhong-liang Yao et al. Study on strength characteristics and thickening characteristics of classified-fine cemented backfill in gold mine // Scientific Reports. 2023. Vol. 13. № 8361. DOI: 10.1038/s41598-023-35254-w</mixed-citation>
        <mixed-citation xml:lang="en">Xian-qing Wang, Wen Wan, Zhong-liang Yao et al. Study on strength characteristics and thickening characteristics of classified-fine cemented backfill in gold mine. Scientific Reports. 2023. Vol. 13. N 8361. DOI: 10.1038/s41598-023-35254-w</mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Фролов Д.В. Исследование и обоснование подходов к оптимизации процессов сгущения угольных шламов // Вестник Кузбасского государственного университета. 2018. № 2. C. 61-69. DOI: 10.26730/1999-4125-2018-2-61-69</mixed-citation>
        <mixed-citation xml:lang="en">Frolov D.V. Research and justification of the ways to optimize coal sludge thickening processes. Bulletin of the Kuzbass State Technical University. 2018. N 2, p. 61-69 (in Russian). DOI: 10.26730/1999-4125-2018-2-61-69</mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Kaiwei Chu, Jiang Chen, Aibing Yu, Williams R.A. Numerical studies of multiphase flow and separation performance of natural medium cyclones for recovering waste coal // Powder Technology. 2017. Vol. 314. P. 532-541. DOI: 10.1016/j.powtec.2016.10.047</mixed-citation>
        <mixed-citation xml:lang="en">Kaiwei Chu, Jiang Chen, Aibing Yu, Williams R.A. Numerical studies of multiphase flow and separation performance of natural medium cyclones for recovering waste coal. Powder Technology. 2017. Vol. 314, p. 532-541. DOI: 10.1016/j.powtec.2016.10.047</mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Yulong Zhang, Peikun Liu, Linjing Xiao et al. Effect of Cone-Plate Clarifier Structure Parameters on Flocculation Efficiency // Separations. 2022. Vol. 9. Iss. 1. № 6. DOI: 10.3390/separations9010006</mixed-citation>
        <mixed-citation xml:lang="en">Yulong Zhang, Peikun Liu, Linjing Xiao et al. Effect of Cone-Plate Clarifier Structure Parameters on Flocculation Efficiency. Separations. 2022. Vol. 9. Iss. 1. N 6. DOI: 10.3390/separations9010006</mixed-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Куликова А.А., Ковалева А.М. Применение хвостов обогащения в качестве закладки выработанного пространства рудников // Горный информационно-аналитический бюллетень. 2021. № 2-1. С. 144-154. DOI: 10.25018/0236-1493-2021-21-0-144-154</mixed-citation>
        <mixed-citation xml:lang="en">Kulikova A.A., Kovaleva A.M. Use of tailings of enrichment for laying of the developed space of mines. Mining Informational and Analytical Bulletin. 2021. N 2-1, p. 144-154 (in Russian). DOI: 10.25018/0236-1493-2021-21-0-144-154</mixed-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Русаков М.И., Шилов А.В. Технология подземного пульпоприготовления с использованием мобильных закладочных материалов // Горный информационно-аналитический бюллетень. 2017. № 9. С. 144-150. DOI: 10.25018/0236-1493-2017-9-0-144-150</mixed-citation>
        <mixed-citation xml:lang="en">Rusakov M.I., Shilov A.V. Underground slurry preparation technology using mobile backfill plants. Mining Informational and Analytical Bulletin. 2017. N 9, p. 144-150 (in Russian). DOI: 10.25018/0236-1493-2017-9-0-144-150</mixed-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Васильева М.А., Волчихина А.А., Морозов М.Д. Оборудование и технологии для проведения работ по дозакладке выработанного пространства // Горный информационно-аналитический бюллетень. 2021. № 6. С. 133-144. DOI: 10.25018/0236_1493_2021_6_0_133</mixed-citation>
        <mixed-citation xml:lang="en">Vasilyeva M.A., Volchikhina A.A., Morozov M.D. Re-backfill technology and equipment. Mining Informational and Analytical Bulletin. 2021. N 6, p. 133-144 (in Russian). DOI: 10.25018/0236_1493_2021_6_0_133</mixed-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Рыльникова М.В, Ангелов В.А., Туркин И.С. Обоснование технологической схемы и комплекса оборудования для утилизации текущих хвостов обогащения в выработанном подземном пространстве // Горный информационно-аналитический бюллетень. 2014. № 9. С. 62-69.</mixed-citation>
        <mixed-citation xml:lang="en">Rylnikova M.V., Angelov V.A., Turkin I.S. Basic process scheme and the complex equipment for recycling current tailings in a depleted underground space. Mining Informational and Analytical Bulletin. 2014. N 9, p. 62-69 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Yunguang Ji, Hao Song, Zhanpu Xue et al. A Review of the Efficiency Improvement of Hydraulic Turbines in Energy Recovery // Processes. 2023. Vol. 11. Iss. 6. № 1815. DOI: 10.3390/pr11061815</mixed-citation>
        <mixed-citation xml:lang="en">Yunguang Ji, Hao Song, Zhanpu Xue et al. A Review of the Efficiency Improvement of Hydraulic Turbines in Energy Recovery. Processes. 2023. Vol. 11. Iss. 6. N 1815. DOI: 10.3390/pr11061815</mixed-citation>
      </ref>
      <ref id="ref30">
        <label>30</label>
        <mixed-citation xml:lang="ru">Khalil M., Jan B.M. Herschel-Bulkley rheological parameters of a novel environmentally friendly lightweight biopolymer drilling fluid from xanthan gum and starch // Journal of Applied Polymer Science. 2012. Vol. 124. Iss. 1. P. 595-606. DOI: 10.1002/APP.35004</mixed-citation>
        <mixed-citation xml:lang="en">Khalil M., Jan B.M. Herschel-Bulkley rheological parameters of a novel environmentally friendly lightweight biopolymer drilling fluid from xanthan gum and starch. Journal of Applied Polymer Science. 2012. Vol. 124. Iss. 1, p. 595-606. DOI: 10.1002/APP.35004</mixed-citation>
      </ref>
      <ref id="ref31">
        <label>31</label>
        <mixed-citation xml:lang="ru">Lyu Fuyan, Ling Chunhui, Li Hao et al. Experimental research of how the boundary layer lower the pipe drag reduction in transport of dense paste // Lubrication Science. 2017. Vol. 29. Iss. 6. P. 411-422. DOI: 10.1002/ls.1377</mixed-citation>
        <mixed-citation xml:lang="en">Lyu Fuyan, Ling Chunhui, Li Hao et al. Experimental research of how the boundary layer lower the pipe drag reduction in transport of dense paste. Lubrication Science. 2017. Vol. 29. Iss. 6, p. 411-422. DOI: 10.1002/ls.1377</mixed-citation>
      </ref>
      <ref id="ref32">
        <label>32</label>
        <mixed-citation xml:lang="ru">Монтянова А.Н., Трофимов А.В., Румянцев А.Е. и др. Опыт и эффективность применения пластифицированных закладочных смесей // Вестник Магнитогорского государственного технического университета им. Г.И. Носова. 2019. Т. 17. № 1. С. 18-25. DOI: 10.18503/1995-2732-2019-17-1-18-25</mixed-citation>
        <mixed-citation xml:lang="en">Montyanova A.N., Trofimov A.V., Rumyantsev A.E. et al. Experience and efficiency of application of plasticized backfilling concrete. Vestnik of Nosov Magnitogorsk State Technical University. 2019. Vol. 17. N 1, p. 18-25 (in Russian). DOI: 10.18503/1995-2732-2019-17-1-18-25</mixed-citation>
      </ref>
      <ref id="ref33">
        <label>33</label>
        <mixed-citation xml:lang="ru">Yuankun Liao, Kai Cheng, Wuhe Sun, Yan Zhao. Study on pumping wear characteristics of concrete pipeline based on CFD-DEM coupling // Scientific Reports. 2023. Vol. 13. № 16119. DOI: 10.1038/s41598-023-42995-1</mixed-citation>
        <mixed-citation xml:lang="en">Yuankun Liao, Kai Cheng, Wuhe Sun, Yan Zhao. Study on pumping wear characteristics of concrete pipeline based on CFD-DEM coupling. Scientific Reports. 2023. Vol. 13. N 16119. DOI: 10.1038/s41598-023-42995-1</mixed-citation>
      </ref>
      <ref id="ref34">
        <label>34</label>
        <mixed-citation xml:lang="ru">Yong Wang, Gang-feng Yang, Cheng-liang Ma et al. Quantitative Test and Engineering Application of Wear Resistance of a Kind of Mine-Filled Composite Pipeline // Frontiers in Materials. 2022. Vol. 8. № 744944. DOI: 10.3389/fmats.2021.744944</mixed-citation>
        <mixed-citation xml:lang="en">Yong Wang, Gang-feng Yang, Cheng-liang Ma et al. Quantitative Test and Engineering Application of Wear Resistance of a Kind of Mine-Filled Composite Pipeline. Frontiers in Materials. 2022. Vol. 8. N 744944. DOI: 10.3389/fmats.2021.744944</mixed-citation>
      </ref>
      <ref id="ref35">
        <label>35</label>
        <mixed-citation xml:lang="ru">Kuskildin R.B., Vatlina A.M. Method of accelerated industrial testing of hydroabrasive wear of polymer coatings of steel pipes // Journal of Physics: Conference Series. 2021. Vol. 1728. № 012029. DOI: 10.1088/1742-6596/1728/1/012029</mixed-citation>
        <mixed-citation xml:lang="en">Kuskildin R.B., Vatlina A.M. Method of accelerated industrial testing of hydroabrasive wear of polymer coatings of steel pipes. Journal of Physics: Conference Series. 2021. Vol. 1728. N 012029. DOI: 10.1088/1742-6596/1728/1/012029</mixed-citation>
      </ref>
      <ref id="ref36">
        <label>36</label>
        <mixed-citation xml:lang="ru">Атрощенко В.А., Александров В.И. Повышение эффективности транспортных трубопроводов закладочного комплекса применением полиуретанового покрытия // Горный информационно-аналитический бюллетень. 2022. № 10-1. С. 25-38 (in English). DOI: 10.25018/0236_1493_2022_101_0_25</mixed-citation>
        <mixed-citation xml:lang="en">Atroshchenko V.A., Alexandrov V.I. Increasing the Efficiency of the Transport Pipelines of the Stowing Complex with the Application of a Polyurethane Coating. Mining Informational and Analytical Bulletin. 2022. N 10-1, p. 25-38 (in Russian). DOI: 10.25018/0236_1493_2022_101_0_25</mixed-citation>
      </ref>
      <ref id="ref37">
        <label>37</label>
        <mixed-citation xml:lang="ru">Александров В.И., Сержан С.Л., Кибирев В.И. Эффективность применения полиуретановых покрытий внутренней поверхности пульповодов в системах гидротранспорта хвостовых пульп // Обогащение руд. 2020. № 4. С. 35-41. DOI: 10.17580/or.2020.04.06</mixed-citation>
        <mixed-citation xml:lang="en">Alexandrov V.I., Kibirev V.I., Serzhan S.L. The effectiveness of polyurethane coatings on internal surfaces of slurry lines in tailings slurry hydrotransport systems. Obogashchenie rud. 2020. N 4, 35-41 (in Russian). DOI: 10.17580/or.2020.04.06</mixed-citation>
      </ref>
      <ref id="ref38">
        <label>38</label>
        <mixed-citation xml:lang="ru">Пуляевский А.М., Мамаев Ю.А., Литвинцев В.С. Исследование гидравлических сопротивлений двухфазных гидросмесей в сужающихся желобах // Горный информационно-аналитический бюллетень. 2004. № 3. С. 58-64.</mixed-citation>
        <mixed-citation xml:lang="en">Pulyaevskii A.M., Mamaev Yu.A., Litvintsev V.S. Study of hydraulic resistance of two-phase hydraulic mixtures in narrowing troughs. Mining Informational and Analytical Bulletin. 2004. N3, p. 58-64. </mixed-citation>
      </ref>
      <ref id="ref39">
        <label>39</label>
        <mixed-citation xml:lang="ru">Scott S.H., Abt S.R. Hydraulic Transport of Fine and Coarse Sediment Mixtures in Pipelines // Journal of Transportation Engineering. 2002. Vol. 128. Iss. 1. P. 1-8. DOI: 10.1061/(asce)0733-947x(2002)128:1(1)</mixed-citation>
        <mixed-citation xml:lang="en">Scott S.H., Abt S.R. Hydraulic Transport of Fine and Coarse Sediment Mixtures in Pipelines. Journal of Transportation Engineering. 2002. Vol. 128. Iss. 1, p. 1-8. DOI: 10.1061/(asce)0733-947x(2002)128:1(1)</mixed-citation>
      </ref>
      <ref id="ref40">
        <label>40</label>
        <mixed-citation xml:lang="ru">Daihui Lu, Christov I.C. Physics-informed neural networks for understanding shear migration of particles in viscous flow // International Journal of Multiphase Flow. 2023. Vol. 165. № 104476. DOI: 10.1016/j.ijmultiphaseflow.2023.104476</mixed-citation>
        <mixed-citation xml:lang="en">Daihui Lu, Christov I.C. Physics-informed neural networks for understanding shear migration of particles in viscous flow. International Journal of Multiphase Flow. 2023. Vol. 165. N 104476. DOI: 10.1016/j.ijmultiphaseflow.2023.104476</mixed-citation>
      </ref>
      <ref id="ref41">
        <label>41</label>
        <mixed-citation xml:lang="ru">Литвинова Т.Е., Царева А.А., Полторацкая М.Е., Рудко В.А. Механизм и термодинамика процесса сорбции этилового спирта на активированном нефтяном коксе // Записки Горного института. 2024. Т. 268. С. 625-636.</mixed-citation>
        <mixed-citation xml:lang="en">Litvinova Т.Е., Tsareva А.А., Poltoratskaya М.Е., Rudko V.А. The mechanism and thermodynamics of ethyl alcohol sorption process on activated petroleum coke. Journal of Mining Institute. 2024. Vol. 268, p. 625-636 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref42">
        <label>42</label>
        <mixed-citation xml:lang="ru">Pullum L. High Concentration, Coarse Particle, Hydraulic Conveying // Advances in Slurry Technology. IntechOpen, 2022. 21 p. DOI: 10.5772/intechopen.107230</mixed-citation>
        <mixed-citation xml:lang="en">Pullum L. High Concentration, Coarse Particle, Hydraulic Conveying. Advances in Slurry Technology. IntechOpen, 2022, p. 21. DOI: 10.5772/intechopen.107230</mixed-citation>
      </ref>
      <ref id="ref43">
        <label>43</label>
        <mixed-citation xml:lang="ru">Демьянов С.Е. Моделирование трубопроводного транспортирования пастообразных пульп // Записки Горного института. 2009. Т. 182. С. 74-77.</mixed-citation>
        <mixed-citation xml:lang="en">Demyanov S.E. Modeling of pipeline transportation of pasty slurries. Journal of Mining Institute. 2009. Vol. 182, p. 74-77 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref44">
        <label>44</label>
        <mixed-citation xml:lang="ru">van der Zanden A.J.J. Heat and mass transfer in heterogeneous media where a phase transition takes place // Chemical Engineering Science. 2000. Vol. 55. Iss. 24. P. 6235-6241. DOI: 10.1016/S0009-2509(00)00404-8</mixed-citation>
        <mixed-citation xml:lang="en">van der Zanden A.J.J. Heat and mass transfer in heterogeneous media where a phase transition takes place. Chemical Engineering Science. 2000. Vol. 55. Iss. 24, p. 6235-6241. DOI: 10.1016/S0009-2509(00)00404-8</mixed-citation>
      </ref>
      <ref id="ref45">
        <label>45</label>
        <mixed-citation xml:lang="ru">Cho K., Irvine Jr. T.F. Determination of the density of non-Newtonian fluids // Experimental Thermal and Fluid Science. 1993. Vol. 7. Iss. 2. P. 175. DOI: 10.1016/0894-1777(93)90310-F</mixed-citation>
        <mixed-citation xml:lang="en">Cho K., Irvine Jr. T.F. Determination of the density of non-Newtonian fluids. Experimental Thermal and Fluid Science. 1993. Vol. 7. Iss. 2, p. 175. DOI: 10.1016/0894-1777(93)90310-F</mixed-citation>
      </ref>
      <ref id="ref46">
        <label>46</label>
        <mixed-citation xml:lang="ru">Gabdulkhakov R.R., Rudko V.A., Pyagay I.N. Methods for modifying needle coke raw materials by introducing additives of various origin (review) // Fuel. 2022. Vol. 310. Part A. № 122265. DOI: 10.1016/j.fuel.2021.122265</mixed-citation>
        <mixed-citation xml:lang="en">Gabdulkhakov R.R., Rudko V.A., Pyagay I.N. Methods for modifying needle coke raw materials by introducing additives of various origin (review). Fuel. 2022. Vol. 310. Part A. N 122265. DOI: 10.1016/j.fuel.2021.122265</mixed-citation>
      </ref>
      <ref id="ref47">
        <label>47</label>
        <mixed-citation xml:lang="ru">Vlasak P., Chara Z. Effect of Particle Size Distribution and Concentration on Flow Behavior of Dense Slurries // Particulate Science and Technology. 2011. Vol. 29. Iss. 1. P. 53-65. DOI: 10.1080/02726351.2010.508509</mixed-citation>
        <mixed-citation xml:lang="en">Vlasak P., Chara Z. Effect of Particle Size Distribution and Concentration on Flow Behavior of Dense Slurries. Particulate Science and Technology. 2011. Vol. 29. Iss. 1, p. 53-65. DOI: 10.1080/02726351.2010.508509</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
