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<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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">gscience</journal-id><journal-title-group><journal-title xml:lang="en">Mining Science and Technology (Russia)</journal-title><trans-title-group xml:lang="ru"><trans-title>Горные науки и технологии</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2500-0632</issn><publisher><publisher-name>The National University of Science and Technology MISiIS (NUST MISIS)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/2500-0632-2022-1-30-36</article-id><article-id custom-type="elpub" pub-id-type="custom">gscience-328</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="en"><subject>MINING ROCK PROPERTIES. ROCK MECHANICS AND GEOPHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>СВОЙСТВА ГОРНЫХ ПОРОД. ГЕОМЕХАНИКА И ГЕОФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Amplitude-initiated open hysteresis loop of P-wave attenuation in sandstone: experimental study</article-title><trans-title-group xml:lang="ru"><trans-title>Амплитудно-инициируемая открытая петля гистерезиса затухания Р-волны в песчанике: экспериментальное исследование</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>Машинский</surname><given-names>Э. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Mashinsky</surname><given-names>E. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Эдуард Иннокентьевич Машинский – доктор геолого-минералогических наук</p><p>Scopus ID 8886240600</p><p>г. Новосибирск</p></bio><bio xml:lang="en"><p>Eduard I. Mashinskii – Dr. Sci. (Geol. and Min.)</p><p>Scopus ID 8886240600</p><p>Novosibirsk</p></bio><email xlink:type="simple">MashinskiiEI@ipgg.sbras.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Институт нефтегазовой геологии и геофизики им. А. А. Трофимука, Сибирское отделение Российской академии наук<country>Россия</country></aff><aff xml:lang="en">Troﬁmuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>12</day><month>04</month><year>2022</year></pub-date><volume>7</volume><issue>1</issue><fpage>30</fpage><lpage>36</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Mashinsky E.I., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Машинский Э.И.</copyright-holder><copyright-holder xml:lang="en">Mashinsky E.I.</copyright-holder><license 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://mst.misis.ru/jour/article/view/328">https://mst.misis.ru/jour/article/view/328</self-uri><abstract/><trans-abstract xml:lang="ru"/><kwd-group xml:lang="ru"><kwd>физика горных пород</kwd><kwd>амплитудно-зависимая скорость волны</kwd><kwd>открытый гистерезис затухания волны</kwd><kwd>микропластическая деформация</kwd><kwd>скачкообразная неупругость</kwd><kwd>упругий модуль</kwd><kwd>нанодеформация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>rock physics</kwd><kwd>amplitude-dependent wave velocity</kwd><kwd>open hysteresis of wave attenuation</kwd><kwd>microplastic strain</kwd><kwd>jump inelasticity</kwd><kwd>elastic modulus</kwd><kwd>nano-strain</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Я выражаю благодарность Б. В. Пашкову и Г. В. Егорову за проведение экспериментов и дальнейшее обсуждение полученных результатов.</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>I express my gratitude to B.V. Pashkov and G.V. Egorov for performing the experiments and further discussion of the results obtained.</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">Гущин В. В., Павленко О. В. Изучение нелинейно-упругих свойств земных пород по сейсмическим данным. В: Современная сейсмология. Достижения и проблемы. М.; 1998. Т. 13.</mixed-citation><mixed-citation xml:lang="en">Gushchin V.V., Pavlenko O.V. Study of nonlinear elastic properties of rocks based on seismic data. In: Modern Seismology, Achievements and Challenges. Мoscow; 1998. Vol. 13. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Егоров Г. В. Вариация нелинейных параметров консолидированного пористого водо-насыщенного образца в зависимости от степени газо-насыщения. Физическая мезомеханика. 2007;10(1):107–110.</mixed-citation><mixed-citation xml:lang="en">Egorov G.V. Variations of nonlinear parameters of a consolidated porous water-saturated sample depending on the degree of gas saturation. Fizicheskaia mezomekhanika. 2007;10(1):107–110. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Кондратьев О. К. Сейсмические волны в поглощающих средах. М.: Недра; 1986. 176 с.</mixed-citation><mixed-citation xml:lang="en">Kondratyev O. K. Seismic waves in Absorbing Media. Мoscow: Nedra Publ.; 1986. 176 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Николаев А. В. Проблемы нелинейной сейсмики. М.: Наука; 1987. 288 с.</mixed-citation><mixed-citation xml:lang="en">Nikolaev A.V. Problems of nonlinear seismic. Moscow: Nauka Publ.; 1987. 288 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">McCall K. R., Guyer R.A. Equation of state and wave propagation in hysteretic nonlinear elastic materials. Journal of Geophysical Research: Solid Earth. 1994;99(B12):23887–23897.</mixed-citation><mixed-citation xml:lang="en">McCall K. R., Guyer R.A. Equation of state and wave propagation in hysteretic nonlinear elastic materials. Journal of Geophysical Research: Solid Earth. 1994;99(B12):23887–23897.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Ostrovsky L. A., Johnson P. A. Dynamic nonlinear elasticity in geomaterials. La Rivista del Nuovo Cimento. 2001;24(4):1–46. https://doi.org/10.1007/BF03548898</mixed-citation><mixed-citation xml:lang="en">Ostrovsky L. A., Johnson P. A. Dynamic nonlinear elasticity in geomaterials. La Rivista del Nuovo Cimento. 2001;24(4):1–46. https://doi.org/10.1007/BF03548898</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Guyer R.A., Johnson P.A. Nonlinear mesoscopic elasticity: Evidence for a new class of materials. Physics Today. 1999;52(4):30–36. https://doi.org/10.1063/1.882648</mixed-citation><mixed-citation xml:lang="en">Guyer R.A., Johnson P.A. Nonlinear mesoscopic elasticity: Evidence for a new class of materials. Physics Today. 1999;52(4):30–36. https://doi.org/10.1063/1.882648</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Zhou Ch., Shen Zh.-J., Yin J.-H. Biot dynamic consolidation ﬁnite element analysis using a hypo-plasticity model. In: 13th World Conference on Earthquake Engineering Vancouver, B.C. August 1–6 2004. Canada; 2004. Paper No. 351. URL: https://www.iitk.ac.in/nicee/wcee/article/13_351.pdf</mixed-citation><mixed-citation xml:lang="en">Zhou Ch., Shen Zh.-J., Yin J.-H. Biot dynamic consolidation ﬁnite element analysis using a hypo-plasticity model. In: 13th World Conference on Earthquake Engineering Vancouver, B.C. August 1–6 2004. Canada; 2004. Paper No. 351. URL: https://www.iitk.ac.in/nicee/wcee/article/13_351.pdf</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Diallo M. S., Prasad M., Appel E. Comparison between experimental results and theoretical predictions for P-wave velocity and attenuation at ultrasonic frequency. Wave Motion. 2003;37(1):1–16. https://doi.org/10.1016/S0165-2125(02)00018-5</mixed-citation><mixed-citation xml:lang="en">Diallo M. S., Prasad M., Appel E. Comparison between experimental results and theoretical predictions for P-wave velocity and attenuation at ultrasonic frequency. Wave Motion. 2003;37(1):1–16. https://doi.org/10.1016/S0165-2125(02)00018-5</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Golovin I. S., Pavlova T. S., Golovina S. B. et al. Effect of severe plastic deformation of Fe–26 at. Al and titanium on internal friction. Materials Science and Engineering A-structural Materials Properties Microstructure and Processing. 2006;442(1–2):165–169. https://doi.org/10.1016/j.msea.2005.12.081</mixed-citation><mixed-citation xml:lang="en">Golovin I. S., Pavlova T. S., Golovina S. B. et al. Effect of severe plastic deformation of Fe–26 at. Al and titanium on internal friction. Materials Science and Engineering A-structural Materials Properties Microstructure and Processing. 2006;442(1–2):165–169. https://doi.org/10.1016/j.msea.2005.12.081</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Sajeva A., Filograsso R., Capaccioli S. Including plastic behaviour in the Preisach-Mayergoyz space to ﬁnd static and dynamic bulk moduli in granular media. In: SEG Technical Program Expanded Abstracts. 2018. Pp. 3517–3521. https://doi.org/10.1190/segam2018-2994837.1</mixed-citation><mixed-citation xml:lang="en">Sajeva A., Filograsso R., Capaccioli S. Including plastic behaviour in the Preisach-Mayergoyz space to ﬁnd static and dynamic bulk moduli in granular media. In: SEG Technical Program Expanded Abstracts. 2018. Pp. 3517–3521. https://doi.org/10.1190/segam2018-2994837.1</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Luoa Sh.-N., Swadenerb J. G., Ma Ch., Tschauner O. Examining crystallographic orientation dependence of hardness of silica stishovite. Physica B: Condensed Matter. 2007;399:138–142. https://doi.org/10.1016/j.physb.2007.06.011</mixed-citation><mixed-citation xml:lang="en">Luoa Sh.-N., Swadenerb J. G., Ma Ch., Tschauner O. Examining crystallographic orientation dependence of hardness of silica stishovite. Physica B: Condensed Matter. 2007;399:138–142. https://doi.org/10.1016/j.physb.2007.06.011</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Mashinskii E. I. Jump-like inelasticity in sandstone and its effect on the amplitude dependence of P-wave attenuation: An experimental study. Wave Motion. 2020;97:102585. https://doi.org/10.1016/j.wavemoti.2020.102585</mixed-citation><mixed-citation xml:lang="en">Mashinskii E. I. Jump-like inelasticity in sandstone and its effect on the amplitude dependence of P-wave attenuation: An experimental study. Wave Motion. 2020;97:102585. https://doi.org/10.1016/j.wavemoti.2020.102585</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Nishino Y., Kawaguchi R., Tamaoka S., Ide N. Amplitude-dependent internal friction study of fatigue deterioration in carbon ﬁber reinforced plastic laminates. Materials Research. 2018;21(2):e20170858. https://doi.org/10.1590/1980-5373-MR-2017-0858</mixed-citation><mixed-citation xml:lang="en">Nishino Y., Kawaguchi R., Tamaoka S., Ide N. Amplitude-dependent internal friction study of fatigue deterioration in carbon ﬁber reinforced plastic laminates. Materials Research. 2018;21(2):e20170858. https://doi.org/10.1590/1980-5373-MR-2017-0858</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Derlet P. M., Maaß R. Micro-plasticity and intermittent dislocation activity in a simplied micro structural model. Modelling and Simulation in Materials Science and Engineering. 2013;21(3):035007. https://doi.org/10.1088/0965-0393/21/3/035007</mixed-citation><mixed-citation xml:lang="en">Derlet P. M., Maaß R. Micro-plasticity and intermittent dislocation activity in a simplied micro structural model. Modelling and Simulation in Materials Science and Engineering. 2013;21(3):035007. https://doi.org/10.1088/0965-0393/21/3/035007</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Duretz T., Souche A., Borst R., Le Pourhiet L. The beneﬁts of using a consistent tangent operator for viscoelastoplastic computations in geodynamics. Geochemistry, Geophysics, Geosystems. 2018;19(12):4904–4924. https://doi.org/10.1029/2018GC007877</mixed-citation><mixed-citation xml:lang="en">Duretz T., Souche A., Borst R., Le Pourhiet L. The beneﬁts of using a consistent tangent operator for viscoelastoplastic computations in geodynamics. Geochemistry, Geophysics, Geosystems. 2018;19(12):4904–4924. https://doi.org/10.1029/2018GC007877</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Huang J., Zhao M.,·Du X., Dai F., Ma Ch., Liu J. An elasto-plastic damage model for rocks based on a new nonlinear strength criterion. Rock Mechanics and Rock Engineering. 2018;51:1413–1429. https://doi.org/10.1007/s00603-018-1417-1</mixed-citation><mixed-citation xml:lang="en">Huang J., Zhao M.,·Du X., Dai F., Ma Ch., Liu J. An elasto-plastic damage model for rocks based on a new nonlinear strength criterion. Rock Mechanics and Rock Engineering. 2018;51:1413–1429. https://doi.org/10.1007/s00603-018-1417-1</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Mashinskii E. I. Difference between static and dynamic elastic moduli of rocks: Physical causes. Russian Geology and Geophysics. 2003:44(9):953–959. URL: https://repository.geologyscience.ru/bitstream/handle/123456789/32706/Mash_03.pdf?sequence=1&amp;isAllowed=y</mixed-citation><mixed-citation xml:lang="en">Mashinskii E. I. Difference between static and dynamic elastic moduli of rocks: Physical causes. Russian Geology and Geophysics. 2003:44(9):953–959. URL: https://repository.geologyscience.ru/bitstream/handle/123456789/32706/Mash_03.pdf?sequence=1&amp;isAllowed=y</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Mashinskii E.I. Seismo-micro-plasticity phenomenon in the rocks. Natural Science. 2010;2(3):155–159. https://doi.org/10.4236/ns.2010.23025</mixed-citation><mixed-citation xml:lang="en">Mashinskii E.I. Seismo-micro-plasticity phenomenon in the rocks. Natural Science. 2010;2(3):155–159. https://doi.org/10.4236/ns.2010.23025</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Vodenitcharova T., Zhang L. C. A new constitutive model for the phase transformations in mono-crystalline silicon. International Journal of Solids and Structures. 2004;41(18–19):5411–5424. https://doi.org/10.1016/j.ijsolstr.2004.04.025</mixed-citation><mixed-citation xml:lang="en">Vodenitcharova T., Zhang L. C. A new constitutive model for the phase transformations in mono-crystalline silicon. International Journal of Solids and Structures. 2004;41(18–19):5411–5424. https://doi.org/10.1016/j.ijsolstr.2004.04.025</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Liu Y., Dai F., Feng P., Xu N. Mechanical behavior of intermittent jointed rocks under random cyclic compression with different loading parameters. Soil Dynamics and Earthquake Engineering. 2018;113:12–24. https://doi.org/10.1016/j.soildyn.2018.05.030</mixed-citation><mixed-citation xml:lang="en">Liu Y., Dai F., Feng P., Xu N. Mechanical behavior of intermittent jointed rocks under random cyclic compression with different loading parameters. Soil Dynamics and Earthquake Engineering. 2018;113:12–24. https://doi.org/10.1016/j.soildyn.2018.05.030</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Johnston D. H., Toksoz M. N. Thermal cracking and amplitude dependent attenuation. Journal of Geophysical Research. 1980;85(B2):937–942. https://doi.org/10.1029/JB085iB02p00937</mixed-citation><mixed-citation xml:lang="en">Johnston D. H., Toksoz M. N. Thermal cracking and amplitude dependent attenuation. Journal of Geophysical Research. 1980;85(B2):937–942. https://doi.org/10.1029/JB085iB02p00937</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Mashinskii E. I. Amplitude-frequency dependencies of wave attenuation in single-crystal quartz: Experimental study. Journal of Geophysical Research: Solid Earth. 2008;113(B11). https://doi.org/10.1029/2008JB005719</mixed-citation><mixed-citation xml:lang="en">Mashinskii E. I. Amplitude-frequency dependencies of wave attenuation in single-crystal quartz: Experimental study. Journal of Geophysical Research: Solid Earth. 2008;113(B11). https://doi.org/10.1029/2008JB005719</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Jones S. M. Velocity and quality factors of sedimentary rocks at low and high effective pressures. Geophysical Journal International. 1995;123(3):774–780. https://doi.org/10.1111/j.1365-246X.1995.tb06889.x</mixed-citation><mixed-citation xml:lang="en">Jones S. M. Velocity and quality factors of sedimentary rocks at low and high effective pressures. Geophysical Journal International. 1995;123(3):774–780. https://doi.org/10.1111/j.1365-246X.1995.tb06889.x</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Mavko G. M. Friction attenuation: an inherent amplitude dependence. Journal of Geophysical Research: Solid Earth. 1979;84(B9):4769–4775. https://doi.org/10.1029/JB084iB09p04769</mixed-citation><mixed-citation xml:lang="en">Mavko G. M. Friction attenuation: an inherent amplitude dependence. Journal of Geophysical Research: Solid Earth. 1979;84(B9):4769–4775. https://doi.org/10.1029/JB084iB09p04769</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Nourifard N., Lebedev M. Research note: the effect of strain amplitude produced by ultrasonic waves on its velocity. Geophysical Prospecting. 2019;67(4):715–722. https://doi.org/10.1111/1365-2478.12674</mixed-citation><mixed-citation xml:lang="en">Nourifard N., Lebedev M. Research note: the effect of strain amplitude produced by ultrasonic waves on its velocity. Geophysical Prospecting. 2019;67(4):715–722. https://doi.org/10.1111/1365-2478.12674</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Nourifard N., Mashinskii E., Lebedev M. The effect of wave amplitude on S-wave velocity in porous media: an experimental study by Laser Doppler Interferometry. Exploration Geophysics. 2019;50(6):683–691. https://doi.org/10.1080/08123985.2019.1667228</mixed-citation><mixed-citation xml:lang="en">Nourifard N., Mashinskii E., Lebedev M. The effect of wave amplitude on S-wave velocity in porous media: an experimental study by Laser Doppler Interferometry. Exploration Geophysics. 2019;50(6):683–691. https://doi.org/10.1080/08123985.2019.1667228</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>
