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    <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.2020.6.7</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-13516</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/13516</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">Investigation of probabilistic models for forecasting the efficiency of proppant hydraulic fracturing technology</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Исследование вероятностных моделей для прогнозирования  эффективности технологии пропантного гидравлического разрыва пласта</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Galkin</surname>
            <given-names>Vladislav I.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Галкин</surname>
              <given-names>В. И.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Galkin</surname>
              <given-names>Vladislav I.</given-names>
            </name>
          </name-alternatives>
          <email>Vgalkin@pstu.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Пермский национальный исследовательский политехнический университет (Пермь, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Perm National Research Polytechnic University (Perm, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Koltyrin</surname>
            <given-names>Artur Nikolaevich</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Колтырин</surname>
              <given-names>А. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Koltyrin</surname>
              <given-names>Artur Nikolaevich</given-names>
            </name>
          </name-alternatives>
          <email>artkoltyrin@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-1722-1083</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Филиал ООО «ЛУКОЙЛ-Инжиниринг» «ПермНИПИнефть» в г.Перми (Пермь, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Branch of LLC LUKOIL-Engineering PermNIPIneft in the city of Perm (Perm, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2020-12-29">
        <day>29</day>
        <month>12</month>
        <year>2020</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2020</year>
      </pub-date>
      <volume>246</volume>
      <fpage>650</fpage>
      <lpage>659</lpage>
      <history>
        <date date-type="received" iso-8601-date="2020-06-16">
          <day>16</day>
          <month>06</month>
          <year>2020</year>
        </date>
        <date date-type="accepted" iso-8601-date="2020-11-09">
          <day>09</day>
          <month>11</month>
          <year>2020</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2020-12-29">
          <day>29</day>
          <month>12</month>
          <year>2020</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2020 В. И. Галкин, А. Н. Колтырин</copyright-statement>
        <copyright-statement xml:lang="en">© 2020 Vladislav I. Galkin, Artur Nikolaevich Koltyrin</copyright-statement>
        <copyright-year>2020</copyright-year>
        <copyright-holder xml:lang="ru">В. И. Галкин, А. Н. Колтырин</copyright-holder>
        <copyright-holder xml:lang="en">Vladislav I. Galkin, Artur Nikolaevich Koltyrin</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/13516">https://pmi.spmi.ru/pmi/article/view/13516</self-uri>
      <abstract xml:lang="ru">
        <p>Для решения задач, сопровождающих разработку методов прогнозирования, предложен вероятностный метод анализа данных. На примере карбонатного объекта рассмотрено применение вероятностной методики прогнозирования эффективности технологии пропантного гидравлического разрыва пласта (ГРП). Выполнен прогноз прироста дебита нефти скважин с использованием вероятностного анализа геологических и технологических данных в разные периоды выполнения ГРП. С помощью данного метода размерные показатели были переведены в единое вероятностное пространство, что позволило выполнить сравнение и построить индивидуальные вероятностные модели. Проведена оценка степени влияния каждого показателя на эффективность ГРП. Вероятностный анализ показателей в разные периоды выполнения ГРП позволил выявить универсальные статистически значимые зависимости. Данные зависимости не меняют своих параметров и могут быть использованы для прогнозирования в разные периоды времени. Определены критерии применения технологии ГРП на карбонатном объекте. С использованием индивидуальных вероятностных моделей рассчитаны комплексные показатели, на основе которых построены регрессионные уравнения. С помощью уравнений выполнен прогноз эффективности ГРП на прогнозных выборках скважин. Для каждой из выборок рассчитаны коэффициенты корреляции. Прогнозные результаты хорошо коррелируются с фактическими приростами (значения коэффициентов корреляции r = 0,58-0,67 по экзаменационным выборкам). Вероятностный метод, в отличие от других, обладает простотой и прозрачностью. С его использованием и при тщательном подборе скважин для применения технологии ГРП вероятность получения высокой эффективности значительно возрастает.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>To solve the problems accompanying the development of forecasting methods, a probabilistic method of data analysis is proposed. Using a carbonate object as an example, the application of a probabilistic technique for predicting the effectiveness of proppant hydraulic fracturing (HF) technology is considered. Forecast of the increase in the oil production of wells was made using probabilistic analysis of geological and technological data in different periods of HF implementation. With the help of this method, the dimensional indicators were transferred into a single probabilistic space, which allowed performing a comparison and construct individual probabilistic models. An assessment of the influence degree for each indicator on the HF efficiency was carried out. Probabilistic analysis of indicators in different periods of HF implementation allowed identifying universal statistically significant dependencies. These dependencies do not change their parameters and can be used for forecasting in different periods of time. Criteria for the application of HF technology on a carbonate object have been determined. Using individual probabilistic models, integrated indicators were calculated, on the basis of which regression equations were constructed. Equations were used to predict the HF efficiency on forecast samples of wells. For each of the samples, correlation coefficients were calculated. Forecast results correlate well with the actual increase (values ​​of the correlation coefficient r = 0.58-0.67 for the examined samples). Probabilistic method, unlike others, is simple and transparent. With its use and with careful selection of wells for the application of HF technology, the probability of obtaining high efficiency increases significantly.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>гидравлический разрыв пласта</kwd>
        <kwd>геолого-технические мероприятия</kwd>
        <kwd>прирост дебита нефти</kwd>
        <kwd>карбонатный коллектор</kwd>
        <kwd>статистический анализ</kwd>
        <kwd>вероятностный анализ</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>hydraulic fracturing</kwd>
        <kwd>geological and technical measures</kwd>
        <kwd>increase in oil production</kwd>
        <kwd>carbonate reservoir</kwd>
        <kwd>statistical analysis</kwd>
        <kwd>probabilistic analysis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
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