<?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">dan</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады Национальной академии наук Беларуси</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady of the National Academy of Sciences of Belarus</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-8323</issn><issn pub-type="epub">2524-2431</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-8323-2022-66-1-83-90</article-id><article-id custom-type="elpub" pub-id-type="custom">dan-1041</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>НАУКИ О ЗЕМЛЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>EARTH SCIENCES</subject></subj-group></article-categories><title-group><article-title>Расчет эффективных механических характеристик подработанного массива горных пород</article-title><trans-title-group xml:lang="en"><trans-title>Calculation of the effective mechanical characteristics of the undermined rock mass</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>Чижик</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Chizhik</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чижик Сергей Антонович – академик, доктор технических наук, профессор, первый заместитель Председателя Президиума.</p><p>Пр. Независимости, 66, 220072, Минск</p></bio><bio xml:lang="en"><p>Chizhik Sergei A.– Academician, D. Sc. (Engineering), Professor, First Deputy Chairman.</p><p>66, Nezavisimosti Ave., 220072, Minsk</p></bio><email xlink:type="simple">chizhik_sa@tut.by</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>Журавков</surname><given-names>М. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhuravkov</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Журавков Михаил Анатольевич – доктор физико-математических наук, профессор, заведующий кафедрой.</p><p>Пр. Независимости, 4, 220030, Минск</p></bio><bio xml:lang="en"><p>Zhuravkov Michael А. – D. Sc. (Physics and Mathematics), Professor, Head of the Department.</p><p>4, Nezavisimosti Ave., 220030, Minsk</p></bio><email xlink:type="simple">zhuravkov@bsu.by</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Петровский</surname><given-names>А. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Petrovskiy</surname><given-names>A. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Петровский Андрей Борисович – заместитель главного инженера.</p><p>Ул. Коржа, 5, 223710, Солигорск, Минская область</p></bio><bio xml:lang="en"><p>Petrovskiy Andrey B. – Deputy Chief Engineer.</p><p>5, Korzh Str., 223710, Soligorsk, Minsk region</p></bio><email xlink:type="simple">belaruskali.office@kali.by</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Прушак</surname><given-names>В. Я.</given-names></name><name name-style="western" xml:lang="en"><surname>Prushak</surname><given-names>V. Yа.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Прушак Виктор Яковлевич – академик, доктор технических наук, профессор, технический директор.</p><p>Ул. Козлова, 69, 223710, Солигорск, Минская область</p></bio><bio xml:lang="en"><p>Prushak Viktor Ya. – Academician, D. Sc. (Engineering), Professor, Technical Director.</p><p>Kozlov Str., 69, 223710, Soligorsk, Minsk region</p></bio><email xlink:type="simple">ipr@sipr.by</email><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Пузанов</surname><given-names>Д. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Puzanov</surname><given-names>D. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Пузанов Дмитрий Александрович – научный сотрудник.</p><p>Ул. Козлова, 69, 223710, Солигорск, Минская область</p></bio><bio xml:lang="en"><p>Puzanov Dmitry A. – Researcher.</p><p>69, Kozlov Str., 223710, Soligorsk, Minsk region</p></bio><email xlink:type="simple">sigd@list.ru</email><xref ref-type="aff" rid="aff-5"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Президиум Национальной академии наук Беларуси</institution></aff><aff xml:lang="en"><institution>Presidium of the National Academy of Sciences of Belarus</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Белорусский государственный университет</institution></aff><aff xml:lang="en"><institution>Belarusian State University</institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Беларуськалий, ОАО</institution></aff><aff xml:lang="en"><institution>Belaruskali, JSC</institution></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Солигорский институт проблем ресурсосбережения с Опытным производством</institution></aff><aff xml:lang="en"><institution>Soligorsk Institute of Resources Saving Problems with Pilot Production</institution></aff></aff-alternatives><aff-alternatives id="aff-5"><aff xml:lang="ru"><institution>Институт горного дела</institution></aff><aff xml:lang="en"><institution>Institute of Mining</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>09</day><month>03</month><year>2022</year></pub-date><volume>66</volume><issue>1</issue><fpage>83</fpage><lpage>90</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Чижик С.А., Журавков М.А., Петровский А.Б., Прушак В.Я., Пузанов Д.А., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Чижик С.А., Журавков М.А., Петровский А.Б., Прушак В.Я., Пузанов Д.А.</copyright-holder><copyright-holder xml:lang="en">Chizhik S.A., Zhuravkov M.A., Petrovskiy A.B., Prushak V.Y., Puzanov D.A.</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://doklady.belnauka.by/jour/article/view/1041">https://doklady.belnauka.by/jour/article/view/1041</self-uri><abstract><p>Разработан подход к построению функциональных выражений для расчета эффективных механических характеристик подработанного массива горных пород при его повторной подработке с учетом нарушений сплошности массива различного характера и времени, прошедшего после подработки. В основу подхода положено введение специальных поправочных множителей в выражения для механических характеристик массива. При этом состояние подработанной области массива рассматривается в приближении моделей сплошных сред. Показано, что одним из важнейших факторов, который требуется учитывать при построении функциональной зависимости для механических характеристик подработанного слоистого массива, является учет взаимного проскальзывания слоев и связанного с ним их отслоения, так как при подработке массива главным образом изменяются такие прочностные характеристики, как сцепление и коэффициент внутреннего трения. Алгоритм расчета механических характеристик подработанного массива предлагает использование поправочных множителей, учитывающих неоднородность массива горных пород; расслоение и проскальзывание контактирующих слоев; изменения свойств подработанного массива при изменении глубины повторной отработки, изменение свойств в результате технологического нарушения естественного равновесного состояния массива (первичная подработка, время, прошедшее со времени первичной подработки).</p></abstract><trans-abstract xml:lang="en"><p>An approach has been developed to construct functional expressions for calculating the effective mechanical characteristics of the undermined rock massif during its repeated mining, taking into account the disturbance of the different-type massif continuity and the time passed after the undermining. The approach was developed as applied to the conditions of the Starobin potash salt deposit. It is based on introducing special correction factors into the expressions for mechanical characteristics of the massif. At the same time, the state of the undermined massif area is considered in the continuum model approximation. It is shown that one of the most important factors to be considered when constructing the functional dependence for mechanical characteristics of the undermined layered massif is to take into account the mutual slippage of layers and their lamination related to it, because the strength characteristics such as bonding strength and internal friction coefficient mainly change when the massif is undermined. The algorithm for calculating the mechanical properties of the undermined massif proposes the use of correction factors that take into account the heterogeneity of the rock massif; lamination and slippage of the contacting layers; changes in the properties of the undermined massif with variation of the depth of repeated mining; changes in the properties resulting from the technological disturbance of the massif initial equilibrium state (primary undermining, time passed since the primary undermining).</p></trans-abstract><kwd-group xml:lang="ru"><kwd>слоистый массив горных пород</kwd><kwd>механические характеристики</kwd><kwd>функциональные зависимости</kwd><kwd>поправочные множители</kwd></kwd-group><kwd-group xml:lang="en"><kwd>layered rock massif</kwd><kwd>mechanical characteristics</kwd><kwd>functional dependence</kwd><kwd>correction factors</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Asanov V. A., Pankov I. L., Evseev A. V., Lobanov C. Yu., Lomakin I. S. Experimental and theoretical research of long term stability of load-carrying elements of the room-and-pillar system of potash beds. Vestnik Permskogo federal’nogo issledovatel’skogo tsentra [Bulletin of the Perm Scientific Centre], 2017, no. 1, pp. 8–14 (in Russian).</mixed-citation><mixed-citation xml:lang="en">Asanov V. A., Pankov I. L., Evseev A. V., Lobanov C. Yu., Lomakin I. S. Experimental and theoretical research of long term stability of load-carrying elements of the room-and-pillar system of potash beds. Vestnik Permskogo federal’nogo issledovatel’skogo tsentra [Bulletin of the Perm Scientific Centre], 2017, no. 1, pp. 8–14 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Baryakh A. A., Lobanov S. Yu., Lomakin I. S. Analysis of time-to-time variation of load on interchamber pillars in mines of the Upper Kama Potash Salt Deposit. Journal of Mining Science, 2015, vol. 51, no. 4, pp. 696–706. https://doi.org/10.1134/s1062739115040064</mixed-citation><mixed-citation xml:lang="en">Baryakh A. A., Lobanov S. Yu., Lomakin I. S. Analysis of time-to-time variation of load on interchamber pillars in mines of the Upper Kama Potash Salt Deposit. Journal of Mining Science, 2015, vol. 51, no. 4, pp. 696–706. https://doi.org/10.1134/s1062739115040064</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Zhuravkov M. A., Martynenko M. D. Theoretical bases of deformation mechanics of block and bedded salt rocks. Minsk, 1995. 254 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Zhuravkov M. A., Martynenko M. D. Theoretical bases of deformation mechanics of block and bedded salt rocks. Minsk, 1995. 254 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Kartashov Y. M., Matveev B. V., Mikheev G. V., Fadeev A. B. Strength and deformability of rocks. Moscow, 1973. 269 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Kartashov Y. M., Matveev B. V., Mikheev G. V., Fadeev A. B. Strength and deformability of rocks. Moscow, 1973. 269 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Barton N., Choubey V. The shear strength of rock joints in theory and practice. Rock Mechanics, 1977, vol. 10, no. 1–2, pp. 1–54. https://doi.org/10.1007/bf01261801</mixed-citation><mixed-citation xml:lang="en">Barton N., Choubey V. The shear strength of rock joints in theory and practice. Rock Mechanics, 1977, vol. 10, no. 1–2, pp. 1–54. https://doi.org/10.1007/bf01261801</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Rvachev V. L. The theory of R-functions and some of its applications. Kiev, 1982. 552 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Rvachev V. L. The theory of R-functions and some of its applications. Kiev, 1982. 552 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Ruppeneit K. V. Deformability of fractured rock massifs. Moscow, 1975. 223 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Ruppeneit K. V. Deformability of fractured rock massifs. Moscow, 1975. 223 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Baklashov I. V. Deformation and failure of rock massifs. Moscow, 1988. 271 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Baklashov I. V. Deformation and failure of rock massifs. Moscow, 1988. 271 p. (in Russian).</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>
