<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">geores</journal-id><journal-title-group><journal-title xml:lang="ru">Георесурсы</journal-title><trans-title-group xml:lang="en"><trans-title>Georesources</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1608-5043</issn><issn pub-type="epub">1608-5078</issn><publisher><publisher-name>Georesursy LLC</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18599/grs.2024.4.11</article-id><article-id custom-type="elpub" pub-id-type="custom">geores-429</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ПОИСК, РАЗВЕДКА И РАЗРАБОТКА МЕСТОРОЖДЕНИЙ УГЛЕВОДОРОДОВ, ИССЛЕДОВАНИЕ КОЛЛЕКТОРОВ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PROSPECTING, EXPLORATION AND DEVELOPMENT OF HYDROCARBON DEPOSITS, RESERVOIR PROPERTIES STUDY</subject></subj-group></article-categories><title-group><article-title>Применение искусственных цифровых моделей в методе рентгеновской томографии керна при решении задачи бинаризации пустотного пространства горных пород</article-title><trans-title-group xml:lang="en"><trans-title>The Application of Artificial Digital Models in X-Ray Computed Tomography (CT) of the Core in Solving the Problem of Binarization of the Void Space of Reservoir Rocks</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мелкишев</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Melkishev</surname><given-names>O. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Олег Александрович Мелкишев – доцент кафедры Геология нефти и газа, кандидат техн. Наук.</p><p>614990, Пермь, Комсомольский пр., д. 29</p></bio><bio xml:lang="en"><p>Oleg A. Melkishev – Associate Professor of the Department of Oil and Gas Geology, Cand. Sci. (Technical Sciences).</p><p>29 Komsomolsky Ave., Perm, 614990</p></bio><email xlink:type="simple">melkishev@pstu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Савицкий</surname><given-names>Я. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Savitsky</surname><given-names>Y. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ян Владимирович Савицкий – инженер кафедры Геология нефти и газа, кандидат тех. наук.</p><p>614990, Пермь, Комсомольский пр., д. 29</p></bio><bio xml:lang="en"><p>Yan V. Savitsky – Engineer of the Department of Oil and Gas Geology, Cand. Sci. (Technical Sciences).</p><p>29 Komsomolsky Ave., Perm, 614990</p></bio><email xlink:type="simple">yansavitsky@pstu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Галкин</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Galkin</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Владиславович Галкин – доктор геол.-минерал. наук, профессор, декан горно-нефтяного факультета.</p><p>614990, Пермь, Комсомольский пр., д. 29</p></bio><bio xml:lang="en"><p>Sergey V. Galkin – Dr. Sci. (Geology and Mineralogy), Professor, Dean of the Faculty of Mining and Petroleum.</p><p>29 Komsomolsky Ave., Perm, 614990</p></bio><email xlink:type="simple">gnfd@pstu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Пермский национальный исследовательский политехнический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Perm National Research Polytechnic University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>30</day><month>12</month><year>2024</year></pub-date><volume>26</volume><issue>4</issue><fpage>218</fpage><lpage>228</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мелкишев О.А., Савицкий Я.В., Галкин С.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Мелкишев О.А., Савицкий Я.В., Галкин С.В.</copyright-holder><copyright-holder xml:lang="en">Melkishev O.A., Savitsky Y.V., Galkin S.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.geors.ru/jour/article/view/429">https://www.geors.ru/jour/article/view/429</self-uri><abstract><p>Метод рентгеновской томографии обладает рядом преимуществ, заключающихся в неразрушающем способе воздействия на образец и возможности объемной визуализации скелета породы и емкостного Пространства. При этом проблемой, Ограничивающей Возможности Практического Использования Томографии, является низкая разрешающая способность при исследовании образцов диаметром 30 мм. В образцах таких размеров существенная часть пор имеет размеры меньшие, чем разрешающая способность большинства современных систем рентгеновской томографии, что не позволяет определить граничное значение пора – скелет в томограммах керна и визуализировать весь объем емкостного пространства. Для подтверждения этого проанализированы томограммы реальных образцов коллекторов нефти и газа. Анализ полученных гистограмм условной рентгеновской плотности позволил прийти к выводу, что прямое определение граничного значения условной рентгеновской плотности, характеризующей границу пора – скелет, невозможно.</p><p>Для решения проблемы оценки граничного значения в работе предложен подход, предлагающий применение искусственных цифровых моделей – фантомов. Эта методика ранее использовались преимущественно в компьютерном моделировании, в нефтяной геологии такой подход практически не применялся. Главным достоинством метода использования фантомов является полный контроль задаваемых параметров порового пространства и рентгеновской плотности скелета, что принципиально не достижимо на реальных образцах. Проведен вычислительный эксперимент, в ходе которого с помощью численного моделирования созданы 124 фантома керна с заданными характеристиками пористости. Эксперимент позволил установить статистические характеристики для значений условной рентгеновской плотности образца, получаемых на этапе реконструкции.</p><p>На основе результатов эксперимента определены граничные значения, пригодные для наиболее достоверного выделения пустотного пространства. При помощи регрессионного и корреляционного анализа предложена модель оценки оптимального граничного значения условной рентгеновской плотности для выделения пустотного пространства. Предложен алгоритм, позволяющий определять и использовать это значение при обработке и анализе данных рентгеновской томографии керна.</p><p>Результаты представленной методики использованы для оценки структуры пустотного пространства реальных образцов керна, которые не привлекались для создания модели прогноза. Применение разработанной модели прогноза граничных значений продемонстрировало высокую корреляцию с фактическими данными.</p></abstract><trans-abstract xml:lang="en"><p>The X-ray tomography method has several advantages, including its non-destructiveness and the ability to visualize the rock skeleton and pore space in three dimensions. However, one of the main challenges of this method is the limited resolution when studying core samples that are 30 millimeters in diameter, which is typical for petrophysical analysis. In these samples, a significant portion of pores have dimensions smaller than the resolution capabilities of most X-ray tomographic systems, making it impossible to accurately determine the boundary between the pore and skeleton structures in tomograms, nor visualize the entire pore volume.</p><p>To verify this hypothesis, tomograms from real oil and gas samples were analyzed. The resulting histograms of X-ray densities revealed that it is not possible to directly measure the threshold value of X-ray density that defines the “skeleton-pore” boundary. In order to solve the problem of estimating boundary values, a technique is proposed in this work that suggests using artificial digital models – phantoms. This approach has been previously used mainly in computer modeling, but it has not been used much in petroleum geology. The main advantage of using phantoms is complete control over the set pore space parameters and X-ray density of the skeleton, which cannot be achieved on real samples.</p><p>A computational experiment was conducted in the work, where 124 core phantoms with specific porosity characteristics were generated using numerical modeling. These phantoms were then converted into tomograms, allowing us to determine statistical characteristics of the values for X-ray densities of the samples at the reconstruction stage.</p><p>Based on the statistical analysis of the X-ray density distribution in the sample, we determined the boundary values that are most suitable for reliable void space detection. Using regression and correlation methods, we developed a model to estimate the optimal boundary value for X-ray density in void space allocation.</p><p>We proposed an algorithm for determining and applying this value in the analysis of core X-ray CT data.This model was tested on real samples that were not used in the development of the forecast model. The use of the proposed model for predicting boundary values on obtained tomograms demonstrated a high degree of consistency with actual data.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>рентгеновская томография</kwd><kwd>реконструкция</kwd><kwd>граничные значения</kwd><kwd>бинаризация</kwd><kwd>пустотное пространство</kwd><kwd>керн</kwd><kwd>петрофизические исследования</kwd><kwd>емкостное пространство</kwd><kwd>пористость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>X-ray tomography</kwd><kwd>reconstruction</kwd><kwd>boundary values</kwd><kwd>void space</kwd><kwd>core</kwd><kwd>petrophysical studies</kwd><kwd>capacitive space</kwd><kwd>porosity</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследования выполнены при поддержке Министерства науки и высшего образования российской Федерации (проект № FSNM-2023-0005</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Галкин С.В., Кетова Ю.А., Савицкий Я.В., Кинг В., Бауыржан С. (2020). Изучение механизма перераспределения фильтрационных потоков при закачке синтезированных сшитых гелей методом рентгеновской томографии керна. Известия Томского политехнического университета. Инжиниринг георесурсов, 331(11), c. 127–136. https://doi.org/10.18799/24131830/2020/11/2892</mixed-citation><mixed-citation xml:lang="en">Abella M., Vaquero J. J., Sisniega A. et al. (2012) Software architecture for multi-bed FDK-based reconstruction in X-ray CT scanners. Computer Methods and Programs in Biomedicine, 7(2), pp. 218–232. https://doi.org/10.1016/j.cmpb.2011.06.008</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Дмитриева, А. Ю. Мусабиров И. М., Насибулин М. Х. (2018). Исследование влияния химических обрабатывающих составов на кольматационные процессы и изменение фильтрационно-емкостных свойств кернового материала тульско-бобриковского горизонта Экспозиция Нефть Газ, 4(64), с. 38–42.</mixed-citation><mixed-citation xml:lang="en">Chugunov, S.S. Kazak A.V., Cheremisin A.N. (2015). Combining methods of X-ray microtomography and three-dimensional electron microscopy in the study of rocks of the Bazhenov Formation of Western Siberia. Neftyanoe khozyaĭstvo, (10), pp. 44–49. (In russ.)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Еременко Н.М., Муравьева Ю.А. (2012). Применение методов рентгеновской микротомографии для определения пористости в керне скважин. Нефтегазовая геология. Теория и практика, 7(3). http://www. ngtp.ru/rub/2/35_2012.pdf</mixed-citation><mixed-citation xml:lang="en">Chukalina M., Khafizov A., Kokhan V., Buzmakov A., Senin R., Uvarov V., Grigoriev M. (2021). Algorithm for post-processing of tomography images to calculate the dimension-geometric features of porous structures. Computer Optics, 45, pp. 110–121. https://doi.org/10.18287/2412-6179-CO-781</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Кривощёков С.Н., Кочнев А.А. (2013). Опыт применения рентгеновской компьютерной томографии для изучения свойств горных пород. Вестник ПНИПУ. Геология. Нефтегазовое и горное дело, (6), c. 32–42. https://doi.org/10.15593/2224-9923/2013.6.4</mixed-citation><mixed-citation xml:lang="en">Denney D. (2004). Digital Core Laboratory: Reservoir-Core Properties Derived From 3D Images. Journal of Petroleum Technology, 56(05), pp. 66–88. https://doi.org/10.2118/0504-0066-JPT</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Мартюшев, Д. А. Новиков В. А. (2020). совершенствование кислотных обработок в коллекторах, характеризующихся различной карбонатностью (на примере нефтяных месторождений Пермского края) Известия Томского политехнического университета. Инжиниринг георесурсов, 331(9), с. 7–17. https://doi.org/10.18799/24131830/2020/9/2800</mixed-citation><mixed-citation xml:lang="en">Djimasbe R., Varfolomeev M.A., Kadyrov R.I., Davletshin R.R., Khasanova N. M., Saar F.D., Ameen A., Muneer A.S, Mukhamedyarova A. N., (2022). Intensification of hydrothermal treatment process of oil shale in the supercritical water using hydrogen donor solvents. The Journal of Supercritical Fluids, (191), 105764. https://doi.org/10.1016/j.supflu.2022.105764</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Осовецкий Б.М., Казымов К.П., Колычев И.Ю., Савицкий Я.В., Галкин С.В. (2023). Изучение изменений структуры пустотности горных пород при создании напряженного состояния методами электронной микроскопии Георесурсы, 25(2), с. 228–235. https://doi.org/10.18599/grs.2023.2.16</mixed-citation><mixed-citation xml:lang="en">Dmitrieva, A. Yu., Musabirov, I. M., Nasibulin, M. Kh. (2018). Investigation of the influence of chemical treatment compositions on colmatation processes and changes in filtration-capacity properties of core material of the TulaBobrikovskii horizon. Ekspoziciya Neft’ Gaz, 4(64), pp. 38–42. (In russ.)</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Савицкий Я.В., (2023). Изучение особенностей структуры пустотного пространства коллекторов методом рентгеновской томографии керна. Автореф. дис. кан. тех. наук., 22 с.</mixed-citation><mixed-citation xml:lang="en">Eremenko N.M., Murav’eva Yu.A. (2012). Application of X-ray microtomography methods for determination of porosity in well cores, Neftegazovaya geologiya. Teoriya i praktika, 7(3). (In Russ.) http://www.ngtp.ru/rub/2/35_2012.pdf</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Савицкий Я.В., Галкин С.В. (2021). Применение процедуры трешхолдинга при изучении емкостного пространства горных пород методом рентгеновской томографии. Горный журнал, 7(2288), с. 34–39.</mixed-citation><mixed-citation xml:lang="en">Eric J. Goldfarb, Ken Ikeda, Richard A. Ketcham, Maša Prodanović, Nicola Tisato (2022). Predictive digital rock physics without segmentation, Computers &amp; Geosciences, (159), 105008. https://doi.org/10.1016/j.cageo.2021.105008</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Чистяков А.А., Швалюк Е.В., Калугин А.А. (2022). Применение компьютерной томографии и ямр для петротипизации сложнопостроенных терригенных коллекторов. Георесурсы, 24(4), с. 102–116. https://doi.org/10.18599/grs.2022.4.9</mixed-citation><mixed-citation xml:lang="en">Feldkamp L.A., Davis L.C., Kress J.W. (1984). Practical cone-beam algorithm. J. Opt. Soc. Am. A 1, pp. 612–619. https://doi.org/10.1364/JOSAA.1.000612</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Чугунов С.С. Казак А.В., Черемисин А.Н. (2015). Комплексирование методов рентгеновской микротомографии и трёхмерной электронной микроскопии при исследовании пород баженовской свиты Западной Сибири. Нефтяное хозяйство. (10). c. 44–49.</mixed-citation><mixed-citation xml:lang="en">Fernandes J.S. Appoloni C.R. Fernandes C.P. (2012). Determination of the Representative Elementary Volume for the Study of Sandstones and Siltstones by X-Ray Microtomography, Materials Research, 15(4), pp. 662–670.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Abella M., Vaquero J. J., Sisniega A. et al. (2012) Software architecture for multi-bed FDK-based reconstruction in X-ray CT scanners. Computer Methods and Programs in Biomedicine, 7(2), pp. 218–232. https://doi.org/10.1016/j.cmpb.2011.06.008</mixed-citation><mixed-citation xml:lang="en">Galkin S.V., Ketova Yu.A., Savitskiy Ya.V., King V., Bauyrzhan S. (2020). Study of the mechanism of redistribution of filtration flows during injection of synthesised cross-linked gels by X-ray core tomography. Izvestiya Tomskogo politekhnicheskogo universiteta. Inzhiniring georesursov, 331(11), pp. 127–136. (In Russ.) https://doi.org/10.18799/24131830/2020/11/2892</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Chukalina M., Khafizov A., Kokhan V., Buzmakov A., Senin R., Uvarov V., Grigoriev M. (2021). Algorithm for post-processing of tomography images to calculate the dimension-geometric features of porous structures. Computer Optics, 45, pp. 110–121. https://doi.org/10.18287/2412-6179-CO-781</mixed-citation><mixed-citation xml:lang="en">Galkin S., Savitsky Y., Shustov D., Kukhtinskii A., Osovetsky B. et al. (2023). Modeling of Crack Development Associated with Proppant Hydraulic Fracturing in a Clay-Carbonate Oil Deposit. FDMP-Fluid Dynamics &amp;Materials Processing, 19(2), pp. 273–284. https://doi.org/10.32604/fdmp.2022.021697</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Denney D. (2004). Digital Core Laboratory: Reservoir-Core Properties Derived From 3D Images. Journal of Petroleum Technology, 56(05), pp. 66–88. https://doi.org/10.2118/0504-0066-JPT</mixed-citation><mixed-citation xml:lang="en">Hamed Lamei Ramandi, Muhammad Asad Pirzada, Serkan Saydam, Christoph Arns, Hamid Roshan (2021). Digital and experimental rock analysis of proppant injection into naturally fractured coal. Fuel, (286), Part 1, 119368. https://doi.org/10.1016/j.fuel.2020.119368</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Djimasbe R., Varfolomeev M.A., Kadyrov R.I., Davletshin R.R., Khasanova N. M., Saar F.D., Ameen A., Muneer A.S, Mukhamedyarova A. N., (2022). Intensification of hydrothermal treatment process of oil shale in the supercritical water using hydrogen donor solvents. The Journal of Supercritical Fluids, (191), 105764. https://doi.org/10.1016/j.supflu.2022.105764</mixed-citation><mixed-citation xml:lang="en">Hounsfield G.N. (1973). Computerized transverse axia scanning (tomography). Part 1: Description of system. British Journal of Radiology, (46), pp. 1016–1022. https://doi.org/10.1259/0007-1285-46-552-1016</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Eric J. Goldfarb, Ken Ikeda, Richard A. Ketcham, Maša Prodanović, Nicola Tisato (2022). Predictive digital rock physics without segmentation, Computers &amp; Geosciences, (159), 105008. https://doi.org/10.1016/j.cageo.2021.105008</mixed-citation><mixed-citation xml:lang="en">Jamie Lea Pointon, Tianci Wen, Jenna Tugwell-Allsup, Aaron Sújar , Jean Michel Létang, Franck Patrick Vidal (2023). Simulation of X-ray projections on GPU: Benchmarking gVirtualXray with clinically realistic phantoms. Computer Methods and Programs in Biomedicine, (234), 107500. https://doi.org/10.1016/j.cmpb.2023.107500</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Feldkamp L.A., Davis L. C., Kress J.W. (1984). Practical cone-beam algorithm, J. Opt. Soc. Am. A 1, pp. 612–619. https://doi.org/10.1364/JOSAA.1.000612</mixed-citation><mixed-citation xml:lang="en">Jun Feng, Jian-Zhou Zhang, Bin Zhou (2013). A novel kernel-based limited-view computerized tomography reconstruction via anisotropic diffusion. Computers &amp; Electrical Engineering, 39(1), pp. 89–102. https://doi.org/10.1016/j.compeleceng.2012.10.014</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Fernandes J.S. Appoloni C.R. Fernandes C.P. (2012). Determination of the Representative Elementary Volume for the Study of Sandstones and Siltstones by X-Ray Microtomography, Materials Research, 15(4), pp. 662–670.</mixed-citation><mixed-citation xml:lang="en">Katsevich A. (2004). An improved exact filtered backprojection algorithm for spiral computed tomography. Advances in Applied Mathematics, (32), pp. 681–697. https://doi.org/10.1016/S0196-8858(03)00099-X</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Galkin S., Savitsky Y., Shustov D., Kukhtinskii A., Osovetsky B. et al. (2023). Modeling of Crack Development Associated with Proppant Hydraulic Fracturing in a Clay-Carbonate Oil Deposit. FDMP-Fluid Dynamics &amp;Materials Processing, 19(2), pp. 273–284. https://doi.org/10.32604/fdmp.2022.021697</mixed-citation><mixed-citation xml:lang="en">Ketcham R.A., Hanna R.D. (2014). Beam hardening correction for X-ray computed tomography of heterogeneous natural materials. Computers &amp; Geosciences, (67), pp. 49–61. https://doi.org/10.1016/j.cageo.2014.03.003</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Hamed Lamei Ramandi, Muhammad Asad Pirzada, Serkan Saydam, Christoph Arns, Hamid Roshan (2021). Digital and experimental rock analysis of proppant injection into naturally fractured coal. Fuel, (286), Part 1, 119368. https://doi.org/10.1016/j.fuel.2020.119368</mixed-citation><mixed-citation xml:lang="en">Kingston A., Myers G., Latham S., Recur B., Li Heyang, Sheppard A. (2018). Space-Filling X-Ray Source Trajectories for Efficient Scanning in Large-Angle Cone-Beam Computed Tomography. IEEE Transactions on Computational Imaging, pp. 1–1. https://doi.org/10.1109/TCI.2018.2841202</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Hounsfield G.N. (1973). Computerized transverse axia scanning (tomography). Part 1: Description of system. British Journal of Radiology, (46), pp. 1016–1022. https://doi.org/10.1259/0007-1285-46-552-1016</mixed-citation><mixed-citation xml:lang="en">Krivoshchëkov S.N., Kochnev A.A. (2013). Experience of application of X-ray computed tomography for the study of rock properties. Vestnik PNIPU. Geologiya. Neftegazovoe i gornoe delo, (6), pp. 32–42 (In russ.) https://doi.org/10.15593/2224-9923/2013.6.4</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Jamie Lea Pointon, Tianci Wen, Jenna Tugwell-Allsup, Aaron Sújar , Jean Michel Létang, Franck Patrick Vidal (2023). Simulation of X-ray projections on GPU: Benchmarking gVirtualXray with clinically realistic phantoms. Computer Methods and Programs in Biomedicine, (234), 107500. https://doi.org/10.1016/j.cmpb.2023.107500</mixed-citation><mixed-citation xml:lang="en">Manazael Zuliani Jora, Renato Nunes de Souza, Everton Lucas-Oliveira, Carlos Speglich, Tito José Bonagamba, Edvaldo Sabadini (2021). Static acid dissolution of carbonate outcrops investigated by 1H NMR and X-ray tomography. Journal of Petroleum Science and Engineering, (207), 109124. https://doi.org/10.1016/j.petrol.2021.109124</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Jun Feng, Jian-Zhou Zhang, Bin Zhou (2013). A novel kernel-based limited-view computerized tomography reconstruction via anisotropic diffusion. Computers &amp; Electrical Engineering, 39(1), pp. 89–102. https://doi.org/10.1016/j.compeleceng.2012.10.014</mixed-citation><mixed-citation xml:lang="en">Manu K. Mohan, A.V. Rahul, Jeroen F. Van Stappen, Veerle Cnudde, Geert De Schutter, Kim Van Tittelboom (2023). Assessment of pore structure characteristics and tortuosity of 3D printed concrete using mercury intrusion porosimetry and X-ray tomography. Cement and Concrete Composites, (140), 105104. https://doi.org/10.1016/j.cemconcomp.2023.105104</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Katsevich A. (2004). An improved exact filtered backprojection algorithm for spiral computed tomography. Advances in Applied Mathematics, (32), pp. 681–697. https://doi.org/10.1016/S0196-8858(03)00099-X</mixed-citation><mixed-citation xml:lang="en">Marco Voltolini, Jonny Rutqvist, Timothy Kneafsey (2021). Coupling dynamic in situ X-ray micro-imaging and indentation: A novel approach to evaluate micromechanics applied to oil shale. Fuel, (300), 120987. https://doi.org/10.1016/j.fuel.2021.120987</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Ketcham R.A., Hanna R.D. (2014). Beam hardening correction for X-ray computed tomography of heterogeneous natural materials. Computers &amp; Geosciences, (67), pp. 49–61. https://doi.org/10.1016/j.cageo.2014.03.003</mixed-citation><mixed-citation xml:lang="en">Martyushev, D., Novikov, V. (2020). Improving acidizing in the collectors characterized by different carbonate content (on the example of oil fields of perm krai). Izvestiya Tomskogo Politekhnicheskogo Universiteta Inziniring Georesursov, 331(9), pp. 7–17. (In Russ.) https://doi.org/10.18799/24131830/2020/9/2800</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Kingston A., Myers G., Latham S., Recur B., Li Heyang, Sheppard A. (2018). Space-Filling X-Ray Source Trajectories for Efficient Scanning in Large-Angle Cone-Beam Computed Tomography. IEEE Transactions on Computational Imaging, pp. 1–1. https://doi.org/10.1109/TCI.2018.2841202</mixed-citation><mixed-citation xml:lang="en">Osovetsky B.M., Kazymov K.P., Kolychev I.Y., Savitckii Ya.V., Galkin S.V. (2023). Study of texture changes in the emptiness of rocks under the tension conditions by electron microscopy methods. Georesursy = Georesources, 25(2), pp. 228–235. (In russ.) https://doi.org/10.18599/grs.2023.2.16</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Manazael Zuliani Jora, Renato Nunes de Souza, Everton Lucas-Oliveira, Carlos Speglich, Tito José Bonagamba, Edvaldo Sabadini (2021). Static acid dissolution of carbonate outcrops investigated by 1H NMR and X-ray tomography. Journal of Petroleum Science and Engineering, (207), 109124. https://doi.org/10.1016/j.petrol.2021.109124</mixed-citation><mixed-citation xml:lang="en">Prasad S.K., Sangwai J.S., Byun H.-S. (2023). A review of the supercritical CO2 fluid applications for improved oil and gas production and associated carbon storage. Journal of CO2 Utilization, (72), 102479. https://doi.org/10.1016/j.jcou.2023.102479</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Manu K. Mohan, A.V. Rahul, Jeroen F. Van Stappen, Veerle Cnudde, Geert De Schutter, Kim Van Tittelboom (2023). Assessment of pore structure characteristics and tortuosity of 3D printed concrete using mercury intrusion porosimetry and X-ray tomography. Cement and Concrete Composites, (140), 105104. https://doi.org/10.1016/j.cemconcomp.2023.105104</mixed-citation><mixed-citation xml:lang="en">Romano C., Minto J.M., Shipton Z K., Lunn R.J. (2019) Automated high accuracy, rapid beam hardening correction in X-Ray Computed Tomography of multi-mineral, heterogeneous core samples. Computers &amp; Geosciences, (131), pp. 144–157. https://doi.org/10.1016/j.cageo.2019.06.009.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Marco Voltolini, Jonny Rutqvist, Timothy Kneafsey (2021). Coupling dynamic in situ X-ray micro-imaging and indentation: A novel approach to evaluate micromechanics applied to oil shale. Fuel, (300), 120987. https://doi.org/10.1016/j.fuel.2021.120987</mixed-citation><mixed-citation xml:lang="en">Savitskiy Ya.V., (2023). Study of the peculiarities of the structure of the void space of reservoirs by the method of X-ray tomography of the core. Abstract Cand. geol. and min. sci. diss.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Prasad S.K., Sangwai J.S., Byun H.-S. (2023). A review of the supercritical CO2 fluid applications for improved oil and gas production and associated carbon storage. Journal of CO2 Utilization, (72), 102479. https://doi.org/10.1016/j.jcou.2023.102479</mixed-citation><mixed-citation xml:lang="en">Savitskiy Ya.V., Galkin S.V. (2021). Application of the thrash-holding procedure in the study of the capacitance space of rocks by X-ray tomography. Gornyy zhurnal, 7(2288), pp. 34–39. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Romano C., Minto J.M., Shipton Z K., Lunn R.J. (2019) Automated high accuracy, rapid beam hardening correction in X-Ray Computed Tomography of multi-mineral, heterogeneous core samples. Computers &amp; Geosciences, (131), pp. 144–157. https://doi.org/10.1016/j.cageo.2019.06.009.</mixed-citation><mixed-citation xml:lang="en">Shah S., Yang, J., Crawshaw J., Gharbi O., Boek E. (2013). Predicting Porosity and Permeability of Carbonate Rocks From Core-Scale to Pore-Scale Using Medical CT Confocal Laser Scanning Microscopy and Micro CT. Proceedings SPE Annual Technical Conference and Exhibition, (3). https://doi.org/10.2118/166252-MS</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Shah S., Yang, J., Crawshaw J., Gharbi O., Boek E. (2013). Predicting Porosity and Permeability of Carbonate Rocks From Core-Scale to PoreScale Using Medical CT Confocal Laser Scanning Microscopy and Micro CT. Proceedings SPE Annual Technical Conference and Exhibition, (3). https://doi.org/10.2118/166252-MS</mixed-citation><mixed-citation xml:lang="en">Shameem Siddiqui, Hisham A. Nasr-El-Din, Aon A. Khamees (2006). Wormhole initiation and propagation of emulsified acid in carbonate cores using computerized tomography. Journal of Petroleum Science and Engineering, 54(3–4), pp. 93–111. https://doi.org/10.1016/j.petrol.2006.08.005</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Shameem Siddiqui, Hisham A. Nasr-El-Din, Aon A. Khamees (2006). Wormhole initiation and propagation of emulsified acid in carbonate cores using computerized tomography. Journal of Petroleum Science and Engineering, 54(3–4), pp. 93–111. https://doi.org/10.1016/j.petrol.2006.08.005</mixed-citation><mixed-citation xml:lang="en">Soimu D., Buliev I., Pallikarakis N. (2008). Studies on circular isocentric cone-beam trajectories for 3D image reconstructions using FDK algorithm. Computerized Medical Imaging and Graphics, 32(3), pp. 210–220. https://doi.org/10.1016/j.compmedimag.2007.12.005</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Soimu D., Buliev I., Pallikarakis N. (2008). Studies on circular isocentric cone-beam trajectories for 3D image reconstructions using FDK algorithm. Computerized Medical Imaging and Graphics, 32(3), pp. 210–220. https://doi.org/10.1016/j.compmedimag.2007.12.005</mixed-citation><mixed-citation xml:lang="en">Tchistiakov A.A., Shvalyuk E.V., Kalugin A.A. (2022). The rock typing of complex clastic formation by means of computed tomography and nuclear magnetic resonance. Georesursy = Georesources, 24(4), pp. 102–116. (In russ.) https://doi.org/10.18599/grs.2022.4.9</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Van Aarle W., Palenstijn W. J., Cant J., Janssens E., Bleichrodt F., Dabravolski A., De Beenhouwer J., Batenburg K.J., Sijbers J. (2016). Fast and Flexible X-ray Tomography Using the ASTRA Toolbox. Optics Express, 24(22), pp. 25129–25147. https://doi.org/10.1364/OE.24.025129</mixed-citation><mixed-citation xml:lang="en">Van Aarle W., Palenstijn W. J., Cant J., Janssens E., Bleichrodt F., Dabravolski A., De Beenhouwer J., Batenburg K.J., Sijbers J. (2016). Fast and Flexible X-ray Tomography Using the ASTRA Toolbox. Optics Express, 24(22), pp. 25129–25147. https://doi.org/10.1364/OE.24.025129</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Van Aarle W., Palenstijn W.J.A., De Beenhouwer J., Altantzis T., Bals S., Batenburg K.J., Sijbers J. (2015). The ASTRA Toolbox: A platform for advanced algorithm development in electron tomography. Ultramicroscopy, (157), pp. 35–47. https://doi.org/10.1016/j.ultramic.2015.05.002</mixed-citation><mixed-citation xml:lang="en">Van Aarle W., Palenstijn W.J.A., De Beenhouwer J., Altantzis T., Bals S., Batenburg K.J., Sijbers J. (2015). The ASTRA Toolbox: A platform for advanced algorithm development in electron tomography. Ultramicroscopy, (157), pp. 35–47. https://doi.org/10.1016/j.ultramic.2015.05.002</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Vinegar H.J. (1986). X-ray CT and NMR imaging of rocks. Journal of Petroleum Technology, (38), pp. 257–259. https://doi.org/10.2118/15277-PA</mixed-citation><mixed-citation xml:lang="en">Vinegar H.J. (1986). X-ray CT and NMR imaging of rocks. Journal of Petroleum Technology, (38), pp. 257–259. https://doi.org/10.2118/15277-PA Wenxuan Liang, Hui Zhang, Guangshu Hu (2010). Optimized</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Wenxuan Liang, Hui Zhang, Guangshu Hu (2010). Optimized Implementation of the FDK Algorithm on One Digital Signal Processor Tsinghua Science &amp; Technology, 15(1). pp. 108–113. https://doi.org/10.1016/S1007-0214(10)70017-1</mixed-citation><mixed-citation xml:lang="en">Implementation of the FDK Algorithm on One Digital Signal Processor Tsinghua Science &amp; Technology, 15(1). pp. 108–113. https://doi.org/10.1016/S1007-0214(10)70017-1</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
