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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="edn" pub-id-type="custom">QNNAGA</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-15727</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/15727</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">Tribodynamic aspects of the resource of electric submersible vane pumps for oil production</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Трибодинамические аспекты ресурса электропогружных лопастных насосов для добычи нефти</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Smirnov</surname>
            <given-names>Nikolai I.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Смирнов</surname>
              <given-names>Н. И.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Smirnov</surname>
              <given-names>Nikolai I.</given-names>
            </name>
          </name-alternatives>
          <email>smir1947@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0001-8715-4149</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Институт машиноведения им. А.А.Благонравова РАН (Москва, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">A.A.Blagonravov Institute of Mechanical Engineering of the Russian Academy of Sciences (Moscow, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Drozdov</surname>
            <given-names>Aleksandr N.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Дроздов</surname>
              <given-names>А. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Drozdov</surname>
              <given-names>Aleksandr N.</given-names>
            </name>
          </name-alternatives>
          <email>drozdov_an@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0001-9509-203X</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Российский университет дружбы народов имени Патриса Лумумбы (Москва, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (Moscow, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Smirnov</surname>
            <given-names>Nikolai N.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Смирнов</surname>
              <given-names>Н. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Smirnov</surname>
              <given-names>Nikolai N.</given-names>
            </name>
          </name-alternatives>
          <email>trenie12@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-6002-3971</contrib-id>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Институт машиноведения им. А.А.Благонравова РАН (Москва, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">A.A.Blagonravov Institute of Mechanical Engineering of the Russian Academy of Sciences (Moscow, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2023-07-27">
        <day>27</day>
        <month>07</month>
        <year>2023</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2023</year>
      </pub-date>
      <volume>264</volume>
      <fpage>962</fpage>
      <lpage>970</lpage>
      <history>
        <date date-type="received" iso-8601-date="2022-01-20">
          <day>20</day>
          <month>01</month>
          <year>2022</year>
        </date>
        <date date-type="accepted" iso-8601-date="2022-07-21">
          <day>21</day>
          <month>07</month>
          <year>2022</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2023-12-25">
          <day>25</day>
          <month>12</month>
          <year>2023</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© Nikolai I. Smirnov, Aleksandr N. Drozdov, Nikolai N. Smirnov</copyright-statement>
        <copyright-year>2023</copyright-year>
        <copyright-holder xml:lang="ru">Н. И. Смирнов, А. Н. Дроздов, Н. Н. Смирнов</copyright-holder>
        <copyright-holder xml:lang="en">Nikolai I. Smirnov, Aleksandr N. Drozdov, Nikolai N. Smirnov</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0">
          <license-p>CC BY 4.0</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/15727">https://pmi.spmi.ru/pmi/article/view/15727</self-uri>
      <abstract xml:lang="ru">
        <p>Эксплуатация электропогружных лопастных насосов для добычи нефти сопровождается наличием в пластовой жидкости твердых частиц, коррозионно-активных веществ, асфальтосмолопарафиновых отложений, приводящих к изменению рабочих характеристик и отказам оборудования. Уменьшение ресурса вследствие этого сопровождается увеличением издержек на ремонт и замену оборудования. Основными процессами, негативно влияющими на отказ, являются изнашивание уплотнений рабочих ступеней подшипников скольжения насоса и вибрация, уровень которой может значительно превышать начальный. Разработан стенд и методика испытаний насосных секций на изнашивание в воде с абразивом и одновременной регистрацией вибрационных характеристик. Выявлены две основные формы износа радиальных уплотнений – односторонняя и равномерная. Односторонняя форма износа втулок обусловлена синхронной прецессией вала, равномерная – асинхронной прецессией, а уровень вибрации увеличивается с ростом величины износа. Распределение износа радиальных уплотнений по длине насоса коррелирует с формой упругой линии вала. Износ осевых уплотнений незначительно увеличивает уровень вибрации. При износе изменяется частотный спектр колебаний, возникает частота, которая может служить диагностическим признаком предельного износа насоса. Получена расчетная зависимость виброскорости от величины износа радиальных уплотнений рабочих ступеней, позволяющая прогнозировать наступление отказа функционирования.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The operation of electric submersible vane pumps for oil production is accompanied by the presence of solid particles, corrosive substances, asphalt-resin-paraffin deposits in the reservoir fluid, leading to changes in performance characteristics and equipment failures. The reduction of the resource as a result of this is accompanied by an increase in the costs of repair and replacement of equipment. The main processes that negatively affect the failure are the wear of the seals of the working stages, the pump plain bearings and vibration, the level of which can significantly exceed the initial level. A test bench and methodology for testing pump sections for wear in water with an abrasive and simultaneous registration of vibration characteristics have been developed. Two main forms of wear of radial seals have been identified – one-sided and equal-dimensional. The one-sided form of sleeve wear is caused by synchronous shaft precession, whereas the equal-dimensional one is an asynchronous precession, and the vibration level increases with increasing wear. The wear distribution of radial seals along the length of the pump correlates with the shape of the elastic shaft line. The wear of the axial seals does not significantly increase the vibration level. During wear the frequency spectrum of vibrations changes; there occurs a frequency that can serve as a diagnostic sign of ultimate wear of the pump. The calculated dependence of the vibration velocity on the wear of the radial seals of the working stages is obtained, which makes it possible to predict the onset of a failure of functioning.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>электропогружные лопастные насосы</kwd>
        <kwd>износ</kwd>
        <kwd>вибрация</kwd>
        <kwd>трибология</kwd>
        <kwd>динамика роторной  системы</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>electric submersible vane pumps</kwd>
        <kwd>wear</kwd>
        <kwd>vibration</kwd>
        <kwd>tribology</kwd>
        <kwd>dynamics of the rotor system</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Takacs G. Electrical Submersible Pumps Manual: Design, Operations, and Maintenance. Second Edition. Houston: Gulf Professional Publishing, 2018. 574 p.</mixed-citation>
        <mixed-citation xml:lang="en">Takacs G. Electrical Submersible Pumps Manual: Design, Operations, and Maintenance. Second Edition. Houston: Gulf Professional Publishing, 2018, p. 574.</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Донской Ю.А., Сабиров А.А., Ивановский В.Н. и др. Программный комплекс «Автотехнолог» и интеллектуальные устройства на его основе // Территория НЕФТЕГАЗ. 2020. № 9-10. С. 20-26.</mixed-citation>
        <mixed-citation xml:lang="en">Donskoy Yu.A., Sabirov A.A., Ivanovskiy V.N. et al. The Autotechnolog Software and Intellectual Devices On It's Basis. Oil and Gas Territory. 2020. N 9-10, p. 20-26 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Дроздов А.Н., Горелкина Е.И. Разработка насосно-эжекторной системы для реализации водогазового воздействия на пласт с использованием попутного нефтяного газа из затрубных пространств добывающих скважин // Записки Горного института. 2022. Т. 254. С. 191-201. DOI: 10.31897/PMI.2022.34</mixed-citation>
        <mixed-citation xml:lang="en">Drozdov A. N., Gorelkina Е. I. (2022). Development of a pump-ejector system for SWAG injection into reservoir using associated petroleum gas from the annulus space of production wells. Journal of Mining Institute. Vol. 254, p. 191-201. DOI: 10.31897/PMI.2022.34</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Горелкина Е.И. Исследование подавления коалесценции газовых пузырьков и его влияния на работу дожимного насоса в составе насосно-эжекторной системы при откачке водогазовых смесей // SOCAR Proceedings. 2022. № 2. С. 33-47. DOI: 10.5510/OGP2022SI200743</mixed-citation>
        <mixed-citation xml:lang="en">Gorelkina E.I. Investigation of gas bubble coalescence suppression and its effect on the operation of a booster pump as part of a pump-ejector system when pumping water-gas mixtures. SOCAR Proceedings. 2022. N 2, p. 33-47 (in Russian). DOI: 10.5510/OGP2022SI200743</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Якимов С.Б. О перспективах использования радиально стабилизированных компрессионных электроцентробежных насосов для повышения эффективности эксплуатации скважин пластов группы АВ Самотлорского месторождения // Территория НЕФТЕГАЗ. 2016. № 7-8. С. 78-86.</mixed-citation>
        <mixed-citation xml:lang="en">Yakimov S.B. On the Perspectives of Radial Stabilized Compression Electric Submersible Pumps Application for Wells Operation Efficiency Improvement at AB Group of the Samotlor Field Formations. Oil and Gas Territory. 2016. N 7-8, p. 78-86 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Красный В.А., Максаров В.В., Ольт Ю. Применение полимерных композитных материалов в узлах трения скважинных нефтяных насосов // Записки Горного института. 2015. Т. 211. С. 71-79.</mixed-citation>
        <mixed-citation xml:lang="en">Krasnyy V.A., Maksarov V.V., Olt J. The use of polymer composite materials in the friction nodes downhole oil pumps. Journal of Mining Institute. 2015. Vol. 211, p. 71-79 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Рогачев М.К., Александров А.Н. Обоснование комплексной технологии предупреждения образования асфальтосмолопарафиновых отложений при добыче высокопарафинистой нефти погружными электроцентробежными насосами из многопластовых залежей // Записки Горного института. 2021. Т. 250. С. 596-605. DOI: 10.31897/PMI.2021.4.13</mixed-citation>
        <mixed-citation xml:lang="en">Rogachev M.K., Aleksandrov A.N. Justification of a comprehensive technology for preventing the formation of asphalt-resin-paraffin deposits during the production of highlyparaffinic oil by electric submersible pumps from multiformation deposits. Journal of Mining Institute. 2021. Vol. 250, p. 596-605. DOI: 10.31897/PMI.2021.4.13</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Minette R.S., SilvaNeto S.F., Vaz L.A., Monteiro U.A. Experimental modal analysis of electrical submersible pumps // Ocean Engineering. 2016. Vol. 124. P. 168-179. DOI: 10.1016/j.oceaneng.2016.07.054</mixed-citation>
        <mixed-citation xml:lang="en">Minette R.S., SilvaNeto S.F., Vaz L.A., Monteiro U.A. Experimental modal analysis of electrical submersible pumps. Ocean Engineering. 2016. Vol. 124, p. 168-179. DOI: 10.1016/j.oceaneng.2016.07.054</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Patil A., Delgado A., Yi Chen et al. Mechanical Reliability of Electrical Submersible Pumps // China Academic Journal Electronic Pablishing Hous. 2018. Vol. 60. № 5. P. 69-77. DOI: 10.16492/j.fjjs.2018.05.0010</mixed-citation>
        <mixed-citation xml:lang="en">Patil A., Delgado A., Yi Chen et al. Mechanical Reliability of Electrical Submersible Pumps. China Academic Journal Electronic Pablishing Hous. 2018. Vol. 60. N 5, p. 69-77. DOI: 10.16492/j.fjjs.2018.05.0010</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Haiwen Zhu, Jianjun Zhu, Zulin Zhou et al. Experimental Study of Sand Erosion in Multistage Electrical Submersible Pump ESP: Performance Degradation, Wear and Vibration // International Petroleum Technology Conference, 26-28 March 2019, Beijing, China. 2019. № IPTC-19264-MS. DOI: 10.2523/IPTC-19264-MS</mixed-citation>
        <mixed-citation xml:lang="en">Haiwen Zhu, Jianjun Zhu, Zulin Zhou et al. Experimental Study of Sand Erosion in Multistage Electrical Submersible Pump ESP: Performance Degradation, Wear and Vibration. International Petroleum Technology Conference, 26-28 March 2019, Beijing, China. 2019. N IPTC-19264-MS. DOI: 10.2523/IPTC-19264-MS</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Haiwen Zhu, Jianjun Zhu, Risa Rutter, Hong-Quan Zhang. Experimental Study on Deteriorated Performance, Vibration, and Geometry Changes of an Electrical Submersible Pump (EPS) under Sand Water Flow Condition // Journal of Energy Resources Technology. 2021. Vol. 143. Iss. 8. № 082104. DOI: 10.1115/1.4048863</mixed-citation>
        <mixed-citation xml:lang="en">Haiwen Zhu, Jianjun Zhu, Risa Rutter, Hong-Quan Zhang. Experimental Study on Deteriorated Performance, Vibration, and Geometry Changes of an Electrical Submersible Pump (EPS) under Sand Water Flow Condition. Journal of Energy Resources Technology. 2021. Vol. 143. Iss. 8. N 082104. DOI: 10.1115/1.4048863</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Changrui Bai, Dezhi Zheng, Hure R. et al. The Impact of Journal Bearing Wear on an Electric Submersible Pump in Two-Phase and Three-Phase Flow // Journal of Tribology. 2019. Vol. 141. Iss. 5. № 051702. DOI: 10.1115/1.4042773</mixed-citation>
        <mixed-citation xml:lang="en">Changrui Bai, Dezhi Zheng, Hure R. et al. The Impact of Journal Bearing Wear on an Electric Submersible Pump in Two-Phase and Three-Phase Flow. Journal of Tribology. 2019. Vol. 141. Iss. 5. N 051702. DOI: 10.1115/1.4042773</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Drozdov A.N. Stand Investigations of ESP's and Gas Separator's Characteristics on GasLiquid Mixtures with Different Values of Free-Gas Volume, Intake Pressure, Foaminess and Viscosity of Liquid // SPE Annual Technical Conference and Exhibition, 19-22 September 2010, Florence, Italy. 2010. № SPE-134198-MS. DOI: 10.2118/134198-MS</mixed-citation>
        <mixed-citation xml:lang="en">Drozdov A.N. Stand Investigations of ESP's and Gas Separator's Characteristics on GasLiquid Mixtures with Different Values of Free-Gas Volume, Intake Pressure, Foaminess and Viscosity of Liquid. SPE Annual Technical Conference and Exhibition, 19-22 September 2010, Florence, Italy. 2010. N SPE-134198-MS. DOI: 10.2118/134198-MS</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Saleh T.A., Sahi S.H., Mohamed L.S. Corrosion of Electrical Submersible Pumps (ESP) In South Rumaila Oil Field // Iraqi Journal of Chemical and Petroleum Engineering. 2015. Vol. 16. № 1. P. 63-69.</mixed-citation>
        <mixed-citation xml:lang="en">Saleh T.A., Sahi S.H., Mohamed L.S. Corrosion of Electrical Submersible Pumps (ESP) In South Rumaila Oil Field. Iraqi Journal of Chemical and Petroleum Engineering. 2015. Vol. 16. N 1, p. 63-69.</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Ибрагимов Н.Г., Хафизов А.Р., Шайдаков В.В. и др. Осложнения в нефтедобыче. Уфа: Изд-во Монография, 2003. 302 с.</mixed-citation>
        <mixed-citation xml:lang="en">Ibragimov N.G., Khafizov A.R., Shaidakov V.V. et al. Complications in oil production. Ufa: Izd-vo Monografiya, 2003, p. 302 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Shamkov A., Gorlov A. Sand Influence Analysis on ESP Operation in Salym Petroleum Development. Effective Methods and Procedures for Sand Protection // SPE Russian Petroleum Technology Conference, 22-24 October 2019, Moscow, Russia. 2019. OnePetro, 2019. № SPE-196821-MS. DOI: 10.2118/196821-MS</mixed-citation>
        <mixed-citation xml:lang="en">Shamkov A., Gorlov A. Sand Influence Analysis on ESP Operation in Salym Petroleum Development. Effective Methods and Procedures for Sand Protection. SPE Russian Petroleum Technology Conference, 22-24 October 2019, Moscow, Russia. 2019. OnePetro, 2019. N SPE-196821-MS. DOI: 10.2118/196821-MS</mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Бочарников В.Ф., Петрухин С.В., Петрухин В.В. Экспериментальные исследования распределения вибрации по длине корпуса модуль-секции электроцентробежного насоса с частотно-регулируемым приводом // Нефтяное хозяйство. 2009. № 8. С. 80-82.</mixed-citation>
        <mixed-citation xml:lang="en">Bocharnikov V.F., Petroukhin S.V., Petroukhin V.V. Experimental Researches of Distribution of Vibration on Length of the Case of Module-Section Submerged Centrifugal Electric Pumps with It Is Frequency – Adjustable A Drive. Oil Industry. 2009. N 8, p. 80-82 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Смирнов Н.И., Григорян Е.Е., Смирнов Н.Н. Износ и вибрация насосных секций УЭЦН // Бурение и нефть. 2016. № 2. С. 52-56.</mixed-citation>
        <mixed-citation xml:lang="en">Smirnov N.I., Grigoryan E., Smirnov N.N. Wear and Vibration of the Pumping Sections Yetcn. Burenie &amp; neft. 2016. N 2, p. 52-56 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Смирнов Н.И., Григорян Е.Е., Смирнов Н.Н. Исследование особенностей вибрационного состояния насосных секций // Бурение и нефть. 2016. № 1. С. 23-27.</mixed-citation>
        <mixed-citation xml:lang="en">Smirnov N.I., Grigoryan E., Smirnov N.N. Study of the Characteristics of the Vibration Condition of Pump Sections. Burenie &amp; neft. 2016. N 1, p. 23-27 (in Russian). </mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Пахаруков Ю.В., Бочарников В.Ф., Петрухин С.В., Петрухин В.В. Результаты экспериментальных исследований радиальной вибрации при использовании амортизаторов ступеней центробежного электронасоса // Нефтяное хозяйство. 2011. № 1. С. 99-101.</mixed-citation>
        <mixed-citation xml:lang="en">Paharukov Yu.V., Bocharnikov V.F., Petruhin S.V., Petruhin V.V. Results of Experimental Re-searches of Radial Vibration at Use Of Shock-Absorbers of Steps Submerged the Electrical Submersible Pump. Oil Industry. 2011. N 1, p. 99-101 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Смирнов Н.И. Трибологическая динамика центробежных насосов // Трение и смазка в машинах и механизмах. 2015. № 2. С. 32-36.</mixed-citation>
        <mixed-citation xml:lang="en">Smirnov N.I. Tribological dynamics of centrifugal pumps. Friction &amp; Lubrication in Machines and Mechanisms. 2015. N 2, p. 32-36 (in Russian). </mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Александров В.И., Собота И. Вибродиагностика технического состояния грунтовых насосов // Записки Горного института. 2016. Т. 218. С. 242-250.</mixed-citation>
        <mixed-citation xml:lang="en">Aleksandrov V.I., Sobota I. Vibrodiagnostics of the technical state slurry pumps. Journal of Mining Institute. 2016. Vol. 218, p. 242-250 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Овчинников Н.П., Портнягина В.В., Дамбуев Б.И. Установление предельного технического состояния пульпового насоса без разборки // Записки Горного института. 2020. Т. 241. С. 53-57. DOI: 10.31897/PMI.2020.1.53</mixed-citation>
        <mixed-citation xml:lang="en">Ovchinnikov N.P., Portnyagina V.V., Dambuev B.I. Specifying the technical state limit value of the pump pulp without disassembling. Journal of Mining Institute. 2020. Vol. 241, p. 53-57. DOI: 10.31897/PMI.2020.1.53</mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Parsi M., Najmi K., Najafifard F. et al. A comprehensive review of solid particle erosion modeling for oil and gas wells and pipelines applications // Journal of Natural Gas Science and Engineering. 2014. Vol. 21. P. 850-873. DOI: 10.1016/j.jngse.2014.10.001</mixed-citation>
        <mixed-citation xml:lang="en">Parsi M., Najmi K., Najafifard F. et al. A comprehensive review of solid particle erosion modeling for oil and gas wells and pipelines applications. Journal of Natural Gas Science and Engineering. 2014. Vol. 21, p. 850-873. DOI: 10.1016/j.jngse.2014.10.001</mixed-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Gülich J.F. Centrifugal Pumps. Berlin: Springer, 2008. 957 p.</mixed-citation>
        <mixed-citation xml:lang="en">Gülich J.F. Centrifugal Pumps. Berlin: Springer, 2008, p. 957.</mixed-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Смирнов Н.И., Смирнов Н.Н., Прожега М.В. Трибологические аспекты надежности центробежных насосов // Трение и смазка в машинах и механизмах. 2007. № 3. С. 32-37.</mixed-citation>
        <mixed-citation xml:lang="en">Smirnov N.I., Smirnov N.N., Progega M.V. Tribological aspects of rotary pumps reliability. Friction &amp; Lubrication in Machines and Mechanisms. 2007. N 3, p. 32-37 (in Russian). </mixed-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Marscher W.D. How vibration levels are related to tribological failure in rotating machinery // MFPT 59 Conference, 19-21 April 2005, Virginia Beach, USA. 2005. 11 p.</mixed-citation>
        <mixed-citation xml:lang="en">Marscher W.D. How vibration levels are related to tribological failure in rotating machinery. MFPT 59 Conference, 19-21 April 2005, Virginia Beach, USA. 2005, p. 11.</mixed-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Childs D.W., Norrbin C.S., Phillips S. A lateral rotordynamics primer on electric submersible pumps (ESPs) for deep subsea applications // Proceedings of the 43rd Turbomachinery &amp; 30th Pump Users Symposia (Pump &amp; Turbo 2014), 23-25 September, Houston, USA. 2014. DOI: 10.21423/R15K8Q</mixed-citation>
        <mixed-citation xml:lang="en">Childs D.W., Norrbin C.S., Phillips S. A lateral rotordynamics primer on electric submersible pumps (ESPs) for deep subsea applications. Proceedings of the 43rd Turbomachinery &amp; 30th Pump Users Symposia (Pump &amp; Turbo 2014), 23-25 September, Houston, USA. 2014. DOI: 10.21423/R15K8Q</mixed-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Beck D., Nowitzki W., Shrum J. Electric Submersible Pump ESP Vibration Characteristics Under Wear Conditions // SPE Gulf Coast Section Electric Submersible Pumps Symposium, 13-17 May 2019, Texas, USA. 2019. OnePetro, 2019. № SPE-194388-MS. DOI: 10.2118/194388-MS</mixed-citation>
        <mixed-citation xml:lang="en">Beck D., Nowitzki W., Shrum J. Electric Submersible Pump ESP Vibration Characteristics Under Wear Conditions. SPE Gulf Coast Section Electric Submersible Pumps Symposium, 13-17 May 2019, Texas, USA. 2019. OnePetro, 2019. N SPE-194388-MS. DOI: 10.2118/194388-MS</mixed-citation>
      </ref>
      <ref id="ref30">
        <label>30</label>
        <mixed-citation xml:lang="ru">Salas K., Delgado A., Van Dam J. et al. Rotordynamic Characterization of an Electric Submersible Pump Motor // Society of Petroleum Engineers (SPE), ESP Workshop, 22-26 April 2013, Houston, USA.</mixed-citation>
        <mixed-citation xml:lang="en">Salas K., Delgado A., Van Dam J. et al. Rotordynamic Characterization of an Electric Submersible Pump Motor. Society of Petroleum Engineers (SPE), ESP Workshop, 22-26 April 2013, Houston, USA.</mixed-citation>
      </ref>
      <ref id="ref31">
        <label>31</label>
        <mixed-citation xml:lang="ru">Haiwen Zhu, Jianjun Zhu, Risa Rutter, Hong-Quan Zhang. A Numerical Study on Erosion Model Selection and Effect of Pump Type and Sand Characters in Electrical Submersible Pumps by Sandy Flow // Journal of Energy Resources Technology. 2019. Vol. 141. Iss. 12. № 122004. DOI: 10.1115/1.4044941</mixed-citation>
        <mixed-citation xml:lang="en">Haiwen Zhu, Jianjun Zhu, Risa Rutter, Hong-Quan Zhang. A Numerical Study on Erosion Model Selection and Effect of Pump Type and Sand Characters in Electrical Submersible Pumps by Sandy Flow. Journal of Energy Resources Technology. 2019. Vol. 141. Iss. 12. N 122004. DOI: 10.1115/1.4044941</mixed-citation>
      </ref>
      <ref id="ref32">
        <label>32</label>
        <mixed-citation xml:lang="ru">Ганиев Р.Ф. Нелинейные резонансы и катастрофы. Надежность, безопасность и бесшумность. М.; Ижевск: Регулярная и хаотическая динамика, 2013. 592 с.</mixed-citation>
        <mixed-citation xml:lang="en">Ganiev R.F. Nonlinear resonances and catastrophes. Reliability, safety, and quietness. Moscow; Izhevsk: Regulyarnaya i khaoticheskaya dinamika, 2013, p. 592 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref33">
        <label>33</label>
        <mixed-citation xml:lang="ru">Силаев Б.М. Трибология деталей машин в маловязких смазочных средах. Самара: Изд-во Самарского государственного аэрокосмического университета, 2008. 264 с.</mixed-citation>
        <mixed-citation xml:lang="en">Silaev B.M. Tribology of machine parts in low-viscosity lubricating media. Samara: Izd-vo Samarskogo gosudarstvennogo aerokosmicheskogo universiteta, 2008, p. 264 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref34">
        <label>34</label>
        <mixed-citation xml:lang="ru">Белкин А.П. Моделирование вибросостояния и прогнозирование остаточного ресурса электродвигателей магистральных насосных агрегатов: Автореф. дис. … канд. тех. наук. Уфа: ИПЕЭР, 2010. 26 с.</mixed-citation>
        <mixed-citation xml:lang="en">Belkin A.P. Modeling of the vibration state and forecasting of the residual life of the electric motors of the main pumping units: Avtoref. dis. … kand. tekh. nauk. Ufa: IPEER, 2010, p. 26 (in Russian).</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
