<?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 pub-id-type="doi">10.31897/pmi.2019.4.443</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-13220</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/13220</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Нефтегазовое дело</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Oil and gas</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Calculation of Oil-saturated Sand Soils’ Heat Conductivity</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Расчет теплопроводности нефтенасыщенных песчаных грунтов</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Sobota</surname>
            <given-names>J. </given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Собота</surname>
              <given-names>И. </given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Sobota</surname>
              <given-names>J. </given-names>
            </name>
          </name-alternatives>
          <email>jerzy.sobota@upwr.edu.pl</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Университет природопользования (Польша)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Wroclaw University of Environmental and Life Sciences (Poland)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Malarev</surname>
            <given-names>V. I.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Маларев</surname>
              <given-names>В. И.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Malarev</surname>
              <given-names>V. I.</given-names>
            </name>
          </name-alternatives>
          <email>malarev@yandex.ru</email>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint-Petersburg Mining University (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Kopteva</surname>
            <given-names>A. V.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Коптева</surname>
              <given-names>А. В.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Kopteva</surname>
              <given-names>A. V.</given-names>
            </name>
          </name-alternatives>
          <email>alexandrakopteva@gmail.com</email>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint-Petersburg Mining University (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2019-08-23">
        <day>23</day>
        <month>08</month>
        <year>2019</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2019</year>
      </pub-date>
      <volume>238</volume>
      <fpage>443</fpage>
      <lpage>449</lpage>
      <history>
        <date date-type="received" iso-8601-date="2019-03-24">
          <day>24</day>
          <month>03</month>
          <year>2019</year>
        </date>
        <date date-type="accepted" iso-8601-date="2019-05-13">
          <day>13</day>
          <month>05</month>
          <year>2019</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2019-08-23">
          <day>23</day>
          <month>08</month>
          <year>2019</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2019 И.  Собота, В. И. Маларев, А. В. Коптева</copyright-statement>
        <copyright-statement xml:lang="en">© 2019 J.  Sobota, V. I. Malarev, A. V. Kopteva</copyright-statement>
        <copyright-year>2019</copyright-year>
        <copyright-holder xml:lang="ru">И.  Собота, В. И. Маларев, А. В. Коптева</copyright-holder>
        <copyright-holder xml:lang="en">J.  Sobota, V. I. Malarev, A. V. Kopteva</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/13220">https://pmi.spmi.ru/pmi/article/view/13220</self-uri>
      <abstract xml:lang="ru">
        <p>В настоящее время Россия обладает значительными запасами тяжелой высоковязкой нефти, конечный коэффициент извлечения которых не превышает 0,25-0,29 при использовании современных и эффективных методов разработки месторождений. Наиболее перспективными из существующих методов являются тепловые, основным недостатком которых остаются большие материальные затраты, приводящие в конечном итоге к значительному повышению себестоимости добываемой нефти. Таким образом, совершенствование существующих и создание более эффективных тепловых методов разработки месторождений является важной задачей в нефтедобыче. Перспективным направлением развития термических методов добычи является разработка забойных электропарогенераторов. В отличие от традиционных методов паротепловой обработки пластов, предусматривающих закачку пара с поверхности, скважинные электротермические устройства позволяют снизить потери энергии и повысить качество пара, закачиваемого в пласт. Для успешной и эффективной организации добычи нефти и осуществления рациональной разработки месторождений высоковязкой нефти с применением скважинного электротермического оборудования необходимо учитывать характер распространения теплового воздействия как в продуктивном пласте, так и в окружающем его пространстве, включая кровлю и подошву. Одной из основных величин, характеризующих данный процесс, является теплопроводность нефтесодержащих пород. В статье рассмотрен состав типичных нефтенасыщенных песчаных грунтов, проведены исследования тепло- и массопереноса в нефтенасыщенных грунтах, изучено влияние различных параметров на теплопроводность неоднородной системы, предложен метод расчета теплопроводности нефтеносных грунтов методом последовательного сведения многокомпонентной системы к двухкомпонентной и доказана справедливость предлагаемого подхода путем сопоставления полученных расчетных зависимостей и экспериментальных данных.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Nowadays, there are significant heavy high-viscosity oil reserves in the Russian Federation with oil recovery coefficient not higher than 0.25-0.29 even with applying modern and efficient methods of oil fields development. Thermal methods are the most promising out of the existing ways of development, main disadvantage of which is large material costs, leading to the significant rise in the cost of extracted oil. Thus, creating more efficient thermal methods and improving the existing ones, is the task of great importance in oil production. One of the promising trends in enhancing thermal methods of oil recovery is the development of bottomhole electric steam generators. Compared to the traditional methods of thermal-steam formation treatment, which involve steam injection from surface, well electrothermal devices can reduce energy losses and improve the quality of steam injected into the formation. For successful and efficient organization of oil production and rational development of high-viscosity oil fields using well electrothermal equipment, it is necessary to take into account the pattern of heat propagation, both in the reservoir and in the surrounding space, including the top and bottom. One of the main values characterizing this process is the heat conductivity λ of oil-bearing rocks. The article describes composition of typical oil-saturated sand soils, presents studies of heat and mass transfer in oil-saturated soils, reveals the effect of various parameters on the heat conductivity of a heterogeneous system, proposes a method for calculating the heat conductivity of oil-bearing soils by sequential reduction of a multicomponent system to a two-component system and proves the validity of the proposed approach by comparing acquired calculated dependencies and experimental data.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>нефтенасыщенный грунт</kwd>
        <kwd>тепловые методы нефтедобычи</kwd>
        <kwd>теплопроводность</kwd>
        <kwd>многофазная система</kwd>
        <kwd>взаимопроникающие компоненты</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>oil-saturated soil</kwd>
        <kwd>heat methods of oil production</kwd>
        <kwd>heat conductivity</kwd>
        <kwd>multiphase system</kwd>
        <kwd>interpenetrating components</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Abramovich B.N., Sychev Yu.A. Problems of ensuring energy security of raw mineral resources enterprises. Zapiski Gornogo instituta. 2016. Vol. 217, p. 132-139 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Antoniadi D.G., Garushev A.R., Ishkhanov V.G. Handbook of thermal oil production methods. Krasnodar: Krasnaya Kuban'. 2000, p. 464 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Gil'manov A.Ya., Shevelev A.P. Physical and mathematical modeling of steam-assisted gravity drainage of heavy oil deposits based on the material balance method. Vestnik Tyumenskogo gosudarstvennogo universiteta. Fiziko-matematicheskoe modelirovanie. Neft', gaz, energetika. 2017. Vol. 3. N 3, p. 52-69. DOI: 10.21684/2411-7978-2017-3-3-52-69 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Zagrivnyi E.A., Kozyaruk A.E., Bataev S.N. Electrothermal system based on a well electrode heater with a power of more than 500 kW for thermal treatment of a high-viscosity oil reservoir. Elektrotekhnika. 2003. N 5, p. 61-69 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Alekseev A.D., Zhukov V.V., Strizhnev K.V., Cherevko S.A. Study of hard-to-recover and non-traditional objects according to the principle of «reservoir factory in the formation». Zapiski Gornogo instituta. 2017. Vol. 228, p. 695-704. DOI: 10.25515/PMI.2017.6.695 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Kudinov V.I. Improving thermal methods for the development of high-viscosity oil fields. Moscow: Neft' i gaz, 1996, p. 284 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Molchanov A.A., Ageev P.G. The introduction of new technologies is a reliable way to extract the remaining reserves of hydrocarbon deposits. Zapiski Gornogo instituta. 2017. Vol. 227, p. 530-539. DOI: 10.25515/PMI.2017.5.530 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Zagrivnyi E.A., Kozyaruk A.E., Malarev V.I., Mel'nikova E.E. Prospects for using bottomhole electrothermal systems to enhance oil recovery of heavy high-viscosity oil formations. Elektrotekhnika. 2010. N 1, p. 50-56 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Proskuryakov R.M., Kopteva A.V. Non-destructive methods for monitoring the quality and quantity of oil flows. Zapiski Gornogo instituta. 2016. Vol. 220, p. 564-567. DOI: 10.184541/PMI2016.4.564 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Zagrivnyi E.A., Malarev V.I., Lakota O.B., Zyrin V.O. Ecological and economic prospects for the use of electrothermal systems for the production of high-viscosity oil. Neftyanoe khozyaistvo. 2012. N 11, p. 118-121 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Khisamov R.S. Analysis of the development efficiency of super-viscous bituminous oil reserves with steam gravity treatment. Neftyanoe khozyaistvo. 2014. N 7, p. 24-27 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Dul’nev G.N., Malarev V.I. Theory of flow in the conductivity problem of inhomogeneous media. Journal of Engineering. Physics and Thermophysics. 1990. Vol. 59. Iss. 3, р. 1217-1231. DOI: 10.1007/BF00870519</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Gülşad Küçük, Gonzalez Marcial, Cuitiño Alberto M. Effective thermal expansion property of consolidated granular materials. Materials (Basel). 2017. 10 (11). DOI: 10.3390/ma10111289</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Verma L.S., Shrotriya A.K., Singh U., Chaudhary D.R. Heat storage coefficient – an important thermophysical parameter and its experimental determination. Journal of Physics D: Applied Physics. 2000. Vol. 23. N 11. DOI: 10.1088/0022-3727/23/11/009</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Jaeger H.M., Nagel S.R., Behringer R.P. Granular solids, liquids, and gases. Reviews of Modern Physics. 1996. N 68, р. 1259-1273. DOI: 10.1103/RevModPhys.68.1259</mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Litvinenko V.S., Kudryashov B.B., Solovjev G.N. Feasibility of high temperature penetrators in improving geothermal drilling technology. Geothermal Resources Council Transactions. 1997. Vol. 21, p. 113-117.</mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Malarev V.I, Kopteva A.V. Borehole electric steam generator electro-thermal calculation for high-viscosity oil productive layers development: International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM). 2017. St. Petersburg. 16-19 May. DOI: 10.1109/ICIEAM.2017.8076341</mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Sobota J., Palarski J., Plewa F., Strozik G. Movement of solid particles in vertical pipe: The Proceedings of The Seventh (2007). ISOPE Ocean Mining (and Gas Hydrates) Symposium. Lisbon. Portugal. 2007, р. 197-207.</mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Nascimento C.M. Design, оptimization and operation of SAGD wells using dynamic flow simulations: SPE Western Regional Meeting. 2015. 23-26 May. Anchorage. Alaska. SP-174494-MS.</mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Shrotriya A.K., Verma L.S., Singh R., Chaudhary D.R. Prediction of the heat storage coefficient of a three-phase system. Journal of Physics D: Applied Physics. 2000. Vol. 24. N 9. DOI: 10.1088/0022-3727/24/9/003</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Siu W.W.M., S.Н.-K.Lee. Transient temperature computation of spheres in three-dimensional random packings. International Journal of Heat and Mass Transfer. 2004. Vol. 47, р. 887-898. DOI: 10.1016/j.ijheatmasstransfer.2003.08.022</mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Vargas W.L., McCarthy J.J. Heat conduction in granular materials. American Institute of Chemical Engineers Journal. 2001. Vol. 47. N 5, р. 1052-1059. DOI: 10.1002/aic.690470511</mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Yun T.S., Santamarina J.C. Fundamental study of thermal conduction in dry soils. Granular Matter. 2008. N 10, р. 197-207.</mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Zargar Z., Farouq Ali S. Analytical Treatment of SAGD – Old and New: SPE Canada Heavy Oil Technical Conference. 2016. 7-9 June. Calgary. Alberta. Canada. SPE-180748-MS.</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
