<?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.2020.4.2</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-13593</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/13593</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">Concept of technology for determining the permeability and porosity properties of terrigenous reservoirs on a digital rock sample model</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>О концепции технологии определения фильтрационно-емкостных свойств терригенных коллекторов на цифровой модели керна</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Belozerov</surname>
            <given-names>Ivan P.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Белозеров</surname>
              <given-names>И. П.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Belozerov</surname>
              <given-names>Ivan P.</given-names>
            </name>
          </name-alternatives>
          <email>ip.belozerov@gmail.com</email>
          <contrib-id contrib-id-type="orcid">0000-0002-6425-6422</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Северный (Арктический) федеральный университет имени М.В. Ломоносова (Архангельск, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Northern Arctic Federal University (Arkhangelsk, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Gubaydullin</surname>
            <given-names>Marsel G.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Губайдуллин</surname>
              <given-names>М. Г.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Gubaydullin</surname>
              <given-names>Marsel G.</given-names>
            </name>
          </name-alternatives>
          <email>m.gubaidulin@narfu.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-4413-4807</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Северный (Арктический) федеральный университет имени М.В. Ломоносова (Архангельск, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Northern Arctic Federal University (Arkhangelsk, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2020-10-08">
        <day>08</day>
        <month>10</month>
        <year>2020</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2020</year>
      </pub-date>
      <volume>244</volume>
      <fpage>402</fpage>
      <lpage>407</lpage>
      <history>
        <date date-type="received" iso-8601-date="2019-10-30">
          <day>30</day>
          <month>10</month>
          <year>2019</year>
        </date>
        <date date-type="accepted" iso-8601-date="2020-02-03">
          <day>03</day>
          <month>02</month>
          <year>2020</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2020-10-08">
          <day>08</day>
          <month>10</month>
          <year>2020</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© Ivan P. Belozerov, Marsel G. Gubaydullin</copyright-statement>
        <copyright-year>2020</copyright-year>
        <copyright-holder xml:lang="ru">И. П. Белозеров, М. Г. Губайдуллин</copyright-holder>
        <copyright-holder xml:lang="en">Ivan P. Belozerov, Marsel G. Gubaydullin</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/13593">https://pmi.spmi.ru/pmi/article/view/13593</self-uri>
      <abstract xml:lang="ru">
        <p>Целью статьи является формирование концепции технологии определения фильтрационно-емкостных свойств терригенных коллекторов методами математического моделирования на цифровой модели керна. Цифровое моделирование керна применяется при оценке геологических запасов нефти. В статье представлена концепция технологии цифрового моделирования керна, позволяющая проводить качественные исследования по определению фильтрационно-емкостных характеристик пласта, включающая в себя моделирование порового пространства и фильтрационных процессов. Суть концепции состоит в том, что имитационная модель микроструктуры цифровой модели формируется на основе большого количества параметров, получаемых в ходе литолого-петрографических исследований шлифов, исследований шлама и геофизических исследований скважин. Сформированная модель может быть использована в качестве основы для последующего моделирования фильтрационных процессов. Проводимость одиночных каналов сформированной модели может быть рассчитана при помощи методов молекулярной динамики, моделей решетчатых уравнений Больцмана и других математических моделей и методов. На основании результатов проведенных исследований обосновано применение методов стохастической упаковки для моделирования структуры порового пространства цифровой модели керна терригенных коллекторов. В связи с развитием компьютерных и нанотехнологий и использованием их в нефтегазовой промышленности решения, позволяющие получить адекватные результаты цифровых моделей керна, имеют высокую важность и актуальность для отрасли. Особенно важным представляется использование цифровых моделей керна при исследованиях сложных с точки зрения проведения физических экспериментов пород-коллекторов шельфовых месторождений западной части российской Арктики, нефтяных сланцев, пород, представленных рыхлыми слабосцементированными коллекторами и других.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The aim of the article is to form the concept of technology for determining the permeability and porosity properties of terrigenous reservoirs using mathematical modeling methods on a digital rock sample model. Digital rock sample modeling is used to assess geological oil reserves. The article presents the concept of digital rock sample modeling technology, which allows carrying out qualitative investigations to determine the permeability and porosity characteristics of the formation, including modeling the pore space and filtration processes. The essence of the concept is that the simulation model of the microstructure for the digital model is formed on the basis of a large number of parameters obtained during lithological and petrographic investigations of thin sections, a study of the sludge and geophysical investigations of wells. The acquired model can be used as a basis for subsequent modeling of filtration processes. Conductivity of single channels of the formed model can be calculated using molecular dynamics methods, models of Boltzmann's lattice equations, and other mathematical models and methods. Based on the results of the study carried out, the application of stochastic packing methods for modeling the structure of the pore space in the digital rock sample model of terrigenous reservoirs is substantiated. In connection with the development of computer and nanotechnologies and their use in the oil and gas industry, solutions that allow obtaining adequate results of digital rock sample models are of high importance and relevance for the production sector. It is especially important to use digital rock sample models in the study of reservoir rocks of shelf fields in the western part of the Russian Arctic, oil shales, rocks represented by loose weakly cemented reservoirs, and others, which are complex for physical experiments.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>фильтрационно-емкостные свойства</kwd>
        <kwd>терригенные коллекторы</kwd>
        <kwd>математическое моделирование</kwd>
        <kwd>цифровая модель керна</kwd>
        <kwd>концепция технологий</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>permeability and porosity properties</kwd>
        <kwd>terrigenous reservoirs</kwd>
        <kwd>mathematical modeling</kwd>
        <kwd>digital rock sample model</kwd>
        <kwd>concept of technology</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Belozerov I.P., Gubaidullin M.G. Using well logging data to create a digital rock sample model of terrigenous reservoirs. Sbornik nauchnykh trudov po materialam Mezhdunarodnoi nauchno-prakticheskoi konferentsii “Teoriya i praktika razvedochnoi i promyslovoi geofiziki”. 22-23 noyabrya 2018 g. Permskii gosudarstvennyi issledovatelskii universitet. Perm, 2018, p. 52-55 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Dontsov K.M. Development of oilfields. Moskow: Nedra. 1977, p. 360 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Trutneva M.A. Evaluation of the permeability and porosity properties of the reservoir rocks of the Kryazhevskoye field based on the results of hydrodynamic investigations. Vestnik Permskogo natsionalnogo issledovatelskogo universiteta. Geologiya. Neftegazovoe i gornoe delo. 2005. N 6, p. 39-43 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Al-Suwaidi M.H., Williams M.P., Ottinger G. Application of Digital Core Description Methods in a Reservoir Characterisation Study: A Review of Traditional Versus Potential Future Methods. Abu Dhabi International Petroleum Exhibition and Conference, 1-4 November 2010. Society of Petroleum Engineers. DOI: 10.2118/137963-MS</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Alizadeh S.M., Latham S., Middleton J., Senden T., Arns C.H. An Analysis of Sleeve Effects for Petrophysical Measurements using Digital Core Analysis. International Petroleum Technology Conference, 6-9 December 2015, Doha, Qatar. DOI: 10.2523/IPTC-18378-MS</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Knackstedt M.A., Arns C.H., Sheppard A.P., Senden T.J., Sok R.M., Cinar Y., Pinczewski W.V., Toannidis M., Padhy G.S. Archies exponents in complex lithologies derived from 3D digital core analysis. 48th Annual Logging Symposium, 3-6 June 2007, Austin, Texas, USA, p. 16.</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Belozerov I.P. Experimental determination of permeability and porosity properties of terrigenous reservoirs for creation and validation of a digital core model. Arctic Environmetal Research. 2018. Vol. 18. Iss. 4, p. 141-147. DOI: 10.3897/issn2541-8416.2018.18.4.141</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Knackstedt M.A., Arns C.H., Limaye A., Sakellariou A., Senden T.J., Sheppard A.P., Sok R.M., Pinczewski W.V., Bunn G.F. Digital Core Laboratory: Properties of reservoir core derived from 3D images. SPE Asia Pacific Conference on Integrated Modelling for Asset Management, 29-30 March 2004, Kuala Lumpur, Malaysia. DOI: 10.2118/87009-MS</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Andraa H., Combaret N., Dvorkin J., Glatt E., Han J., Kabel M., Keehm Y., Krzikalla F. et. al. Digital rock physics benchmarks – Part I: Imaging and segmentation. Computers &amp; Geosciences. 2013. Vol. 50, p. 25-32. DOI: 10.1016/j.cageo.2012.09.005</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Berezovsky V., Gubaydullin M., Yurev A., Belozerov I. Examination of clastic oil and gas reservoir rock permeability modeling by molecular dynamics simulation using high-performance computing. Supercomputing: 4th Russian Supercomputing Days, 24-25 September 2018. 2019. Vol. 965, p. 208-217.</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Manwart C., Aaltosalmi U., Koponen A., Hilfer R., Timonen J. Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media. Physical Review E. 2002. Vol. 66. DOI: 10.1103/PhysRevE.66.016702</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Lemaitre R., Adler P.M. Fractal porous media IV: Three-dimensional stokes flow through random media and regular fractals. Transport in Porous Media. 1990. Vol. 5. N 4, p. 325-340.</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Pazdniakou A., Adler P.M. Dynamic permeability of porous media by the lattice Boltzmann method. Advances in Water Resources. 2013. Vol. 62. Part B, p. 292-302. DOI: 10.1016/j.advwaters.2013.06001</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Khan F., Enzmann F., Kersten M., Wiegmann A., Steiner K. 3D simulation of the permeability tensor in a soil aggregate on the basis of nanotomographic imaging and LBE solver. Journal of Soils and Sediments. 2012. Vol. 12. Iss. 1, p. 86-96. DOI: 10.1007/s11368-011-0435-3</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Gerbaux O., Bujens F., Mourzenko V.V., Memponteil A., Vabre A., Thovert J.F., Adler P.M. Transport properties of real metallic foams. Journal of Colloid and Interface Science. 2010. Vol. 342. Iss. 1, p. 155-165. DOI: 10.1016/j.jcis.2009.10.011</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
