<?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">hydrophysics</journal-id><journal-title-group><journal-title xml:lang="ru">Фундаментальная и прикладная гидрофизика</journal-title><trans-title-group xml:lang="en"><trans-title>Fundamental and Applied Hydrophysics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-6673</issn><issn pub-type="epub">2782-5221</issn><publisher><publisher-name>St. Petersburg Research Center of the Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">hydrophysics-1130</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>ВЗАИМОДЕЙСТВИЕ МОРСКИХ ОБЪЕКТОВ, ОКЕАНА И АТМОСФЕРЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INTERACTION OF MARINE OBJECTS*, OCEAN‏ AND ‏ATMOSPHERE</subject></subj-group></article-categories><title-group><article-title>Моделирование воздействия внутренних волн на морские платформы для гидрологических условий шельфовой зоны о. Сахалин</article-title><trans-title-group xml:lang="en"><trans-title>Modeling of internal wave action on offshore platforms for hydrological conditions of the Sakhalin shelf zone</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>Рувинская</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Rouvinskaya</surname><given-names>E.</given-names></name></name-alternatives><bio xml:lang="en"><p>Nizhny Novgorod</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Куркина</surname><given-names>О. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Kurkina</surname><given-names>O.</given-names></name></name-alternatives><bio xml:lang="en"><p>Nizhny Novgorod</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Куркин</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kurkin</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Nizhny Novgorod</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Зайцев</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Zaytsev</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>г. Южно-Сахалинск</p></bio><bio xml:lang="en"><p>Nizhny Novgorod</p><p>Yuzhno-Sakhalinsk</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Нижегородский государственный технический университет им. Р. Е. Алексеева</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Nizhny Novgorod State Technical University n. a. R. E. Alekseev</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Нижегородский государственный технический университет им. Р. Е. Алексеева; Специальное конструкторское бюро средств автоматизации морских исследований ДВО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Nizhny Novgorod State Technical University n. a. R. E. Alekseev; Special Research Bureau for Automation of Marine Researches, Far Eastern Branch of Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>29</day><month>11</month><year>2022</year></pub-date><volume>10</volume><issue>4</issue><fpage>61</fpage><lpage>70</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Рувинская Е.А., Куркина О.Е., Куркин А.А., Зайцев А.И., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Рувинская Е.А., Куркина О.Е., Куркин А.А., Зайцев А.И.</copyright-holder><copyright-holder xml:lang="en">Rouvinskaya E., Kurkina O., Kurkin A., Zaytsev 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://hydrophysics.spbrc.ru/jour/article/view/1130">https://hydrophysics.spbrc.ru/jour/article/view/1130</self-uri><abstract><p>Оцениваются динамические нагрузки на подводные вертикальные цилиндрические части морских платформ при воздействии полнонелинейных внутренних волн, генерируемых многокомпонентным баротропным приливом, распространяющимся вдоль вертикального разреза над неровностями дна в условиях Охотского моря (залив Анива, юго-восточная часть шельфовой зоны острова Сахалин). Эволюция этого процесса анализируется с помощью численной модели для уравнений Эйлера, описывающих движение несжимаемой стратифицированной по плотности жидкости в вертикальной плоскости. Интенсивность силы давления на подводную боковую поверхность опоры морской платформы и ее расчетный изгибающий момент выражаются в соответствии с формулой Морисона для цилиндрической сваи диаметром 2.5 м и высотой 42 м и рассчитаны как функции времени. Во время приливного цикла эти характеристики могут достигать значений 2.3∙105 Н и 4.8∙106 Н∙м, соответственно. Определена также частота появления больших пиковых значений в поле скорости внутренних волн и вероятности соответствующих этим пикам высоких нагрузок. Значительная неравномерность распределения скорости, а также динамических нагрузок по глубине является типичной особенностью воздействия внутренних волн.</p></abstract><trans-abstract xml:lang="en"><p>Dynamical loads are estimated on underwater vertical cylindrical parts of offshore platforms from the forcing of fully nonlinear internal wave motions generated by multicomponent barotropic tidal flow over topography along a vertical section for the conditions of the Sea of Okhotsk (Aniva Bay, near the south-eastern part of the Sakhalin Island shelf). The evolution of this process is analysed using numerical model of Euler equations for incompressible density-stratified fluid in a vertical plane. The intensity of pressure on lateral underwater surface and the rate inertia moment are expressed according to Morison’s formula for a cylindrical pile of 2.5 m diameter and 42 m height and computed as functions of time. They can reach values of 2.3∙105 N and 4.8∙106 N∙m, respectively, during the tidal cycle. The frequency of the appearance of large peak values in the internal wave velocity field and the probabilities of the corresponding high loads are also calculated.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>внутренние волны</kwd><kwd>сила сопротивления</kwd><kwd>сила инерции</kwd><kwd>крутящий момент</kwd><kwd>уравнение Морисона</kwd><kwd>придонная скорость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>internal waves</kwd><kwd>drag force</kwd><kwd>inertial force</kwd><kwd>torque</kwd><kwd>Morison equation</kwd><kwd>near-bottom velocity</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">Bourgault D., Morsilli M., Richards C., Neumeier U., Kelley D.E. Sediment resuspension and nepheloid layers induced by long internal solitary waves shoaling orthogonally on uniform slopes. Continental Shelf Research. 2014, 72, 21—33.</mixed-citation><mixed-citation xml:lang="en">Bourgault D., Morsilli M., Richards C., Neumeier U., Kelley D.E. Sediment resuspension and nepheloid layers induced by long internal solitary waves shoaling orthogonally on uniform slopes. Continental Shelf Research. 2014, 72, 21—33.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Aghsaee P., Boegman L. Experimental investigation of sediment resuspension beneath internal solitary waves of depression. J. Geophys. Res. Oceans. 2015, 120, 5, 3301—3314.</mixed-citation><mixed-citation xml:lang="en">Aghsaee P., Boegman L. Experimental investigation of sediment resuspension beneath internal solitary waves of depression. J. Geophys. Res. Oceans. 2015, 120, 5, 3301—3314.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Nishino S., Kawaguchi Y., Inoue J., Hirawake T., Fujiwara A., Futsuki R., Onodera J., Aoyama M. Nutrient supply and biological response to wind-induced mixing, inertial motion, internal waves, and currents in the northern Chukchi sea. J. Geophys. Res. Oceans. 2015, 120, 3, 1975—1992.</mixed-citation><mixed-citation xml:lang="en">Nishino S., Kawaguchi Y., Inoue J., Hirawake T., Fujiwara A., Futsuki R., Onodera J., Aoyama M. Nutrient supply and biological response to wind-induced mixing, inertial motion, internal waves, and currents in the northern Chukchi sea. J. Geophys. Res. Oceans. 2015, 120, 3, 1975—1992.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Wall M., Putchim L., Schmidt G. M., Jantzen C., Khokiattiwong S., Richter C. Large-amplitude internal waves benefit corals during thermal stress. Proceedings of the Royal Society of London B: Biological Sciences. 2015, 282, 20140650.</mixed-citation><mixed-citation xml:lang="en">Wall M., Putchim L., Schmidt G. M., Jantzen C., Khokiattiwong S., Richter C. Large-amplitude internal waves benefit corals during thermal stress. Proceedings of the Royal Society of London B: Biological Sciences. 2015, 282, 20140650.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Wang Y.-H. Phytoplankton transport to coral reefs by internal solitons in the northern south China sea. Coral reefs. 2016, 35, 3, 1061—1068.</mixed-citation><mixed-citation xml:lang="en">Wang Y.-H. Phytoplankton transport to coral reefs by internal solitons in the northern south China sea. Coral reefs. 2016, 35, 3, 1061—1068.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Rutenko A. N. The influence of internal waves on losses during sound propagation on a shelf. Acoustical Physics. 2010, 56, 5, 703—713.</mixed-citation><mixed-citation xml:lang="en">Rutenko A. N. The influence of internal waves on losses during sound propagation on a shelf. Acoustical Physics. 2010, 56, 5, 703—713.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Yang T. C. Acoustic mode coupling induced by nonlinear internal waves: Evaluation of the mode coupling matrices and application. Journal of the Acoustical Society of America. 2014, 135, 2, 610—625.</mixed-citation><mixed-citation xml:lang="en">Yang T. C. Acoustic mode coupling induced by nonlinear internal waves: Evaluation of the mode coupling matrices and application. Journal of the Acoustical Society of America. 2014, 135, 2, 610—625.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Wei G., Du H., Xu X., Zhang Y., Qu Z., Hu T., You Y. Experimental investigation of the generation of large-amplitude internal solitary wave and its interaction with a submerged slender body. Science China Physics, Mechanics and Astronomy. 2014, 57, 2, 301—310.</mixed-citation><mixed-citation xml:lang="en">Wei G., Du H., Xu X., Zhang Y., Qu Z., Hu T., You Y. Experimental investigation of the generation of large-amplitude internal solitary wave and its interaction with a submerged slender body. Science China Physics, Mechanics and Astronomy. 2014, 57, 2, 301—310.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Cai S., Xu J., Chen Z., Xie J., Deng X., Lv H. The effect of a seasonal stratification variation on the load exerted by internal solitary waves on a cylindrical pile. Acta Oceanologica Sinica. 2014, 33, 7, 21—26.</mixed-citation><mixed-citation xml:lang="en">Cai S., Xu J., Chen Z., Xie J., Deng X., Lv H. The effect of a seasonal stratification variation on the load exerted by internal solitary waves on a cylindrical pile. Acta Oceanologica Sinica. 2014, 33, 7, 21—26.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Chakrabarti S. Handbook of offshore engineering. London, Elsevier, 2005, 1321 p.</mixed-citation><mixed-citation xml:lang="en">Chakrabarti S. Handbook of offshore engineering. London, Elsevier, 2005, 1321 p.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Osborne A. R. Nonlinear ocean waves and the Inverse Scattering Transform. San Diego, Elsevier, 2010, 944 p.</mixed-citation><mixed-citation xml:lang="en">Osborne A. R. Nonlinear ocean waves and the Inverse Scattering Transform. San Diego, Elsevier, 2010, 944 p.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Cai S., Long X., Gan Z. A method to estimate the forces exerted by internal solitons on cylindrical piles. Ocean Engineering. 2003, 30, 5, 673—689.</mixed-citation><mixed-citation xml:lang="en">Cai S., Long X., Gan Z. A method to estimate the forces exerted by internal solitons on cylindrical piles. Ocean Engineering. 2003, 30, 5, 673—689.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Cai S., Long X., Wang S. Forces and torques exerted by internal solitons in shear flows on cylindrical piles. Applied Ocean Research. 2008, 30, 1, 72—77.</mixed-citation><mixed-citation xml:lang="en">Cai S., Long X., Wang S. Forces and torques exerted by internal solitons in shear flows on cylindrical piles. Applied Ocean Research. 2008, 30, 1, 72—77.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Song Z. J., Teng B., Gou Y., Lu L., Shi Z. M., Xiao Y., Qu Y. Comparisons of internal solitary wave and surface wave actions on marine structures and their responses. Applied Ocean Research. 2011, 33, 2, 120—129.</mixed-citation><mixed-citation xml:lang="en">Song Z. J., Teng B., Gou Y., Lu L., Shi Z. M., Xiao Y., Qu Y. Comparisons of internal solitary wave and surface wave actions on marine structures and their responses. Applied Ocean Research. 2011, 33, 2, 120—129.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Si Z., Zhang Y., Fan Z. A numerical simulation of shear forces and torques exerted by large-amplitude internal solitary waves on a rigid pile in South China Sea. Applied Ocean Research. 2012, 37, 127—132.</mixed-citation><mixed-citation xml:lang="en">Si Z., Zhang Y., Fan Z. A numerical simulation of shear forces and torques exerted by large-amplitude internal solitary waves on a rigid pile in South China Sea. Applied Ocean Research. 2012, 37, 127—132.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Xie J., Jian Y., Yang L. Strongly nonlinear internal soliton load on a small vertical circular cylinder in two-layer fluids. Applied Mathematical Modelling. 2010, 34, 8, 2089—2101.</mixed-citation><mixed-citation xml:lang="en">Xie J., Jian Y., Yang L. Strongly nonlinear internal soliton load on a small vertical circular cylinder in two-layer fluids. Applied Mathematical Modelling. 2010, 34, 8, 2089—2101.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Xie J., Xu J., Cai S. A numerical study of the load on cylindrical piles exerted by internal solitary waves. Journal of Fluids and Structures. 2011, 27, 8, 1252—1261.</mixed-citation><mixed-citation xml:lang="en">Xie J., Xu J., Cai S. A numerical study of the load on cylindrical piles exerted by internal solitary waves. Journal of Fluids and Structures. 2011, 27, 8, 1252—1261.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Du T., Sun L., Zhang Y., Bao X., Fang X. An estimation of internal soliton forces on a pile in the ocean. J. Ocean Univ. China. 2007, 6/2, 101—116.</mixed-citation><mixed-citation xml:lang="en">Du T., Sun L., Zhang Y., Bao X., Fang X. An estimation of internal soliton forces on a pile in the ocean. J. Ocean Univ. China. 2007, 6/2, 101—116.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Newman J. N. Marine Hydrodynamics. Cambridge, MIT Press, 1977, 402 p.</mixed-citation><mixed-citation xml:lang="en">Newman J. N. Marine Hydrodynamics. Cambridge, MIT Press, 1977, 402 p.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Aleshkov Yu. Z. The theory of the interaction of waves and obstacles. Leningrad, LST Publ., 1990, 371 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Aleshkov Yu. Z. The theory of the interaction of waves and obstacles. Leningrad, LST Publ., 1990, 371 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Khalfin I. Sh. The impact of waves on the offshore oil and gas facilities. Мoscow, Nedra, 1990, 312 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">Khalfin I. Sh. The impact of waves on the offshore oil and gas facilities. Мoscow, Nedra, 1990, 312 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang D., Paterson E. G. A study of wave forces on an offshore platform by direct CFD and Morison equation. Proc. of 2nd Symposium on OpenFOAM in Wind Energy. 2014, 1—34.</mixed-citation><mixed-citation xml:lang="en">Zhang D., Paterson E. G. A study of wave forces on an offshore platform by direct CFD and Morison equation. Proc. of 2nd Symposium on OpenFOAM in Wind Energy. 2014, 1—34.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Housseine C., Monroy C., de Hauteclocque G. Stochastic Linearization of the Morison Equation Applied to an Offshore Wind Turbine. Proc. ASME. 56574; Volume 9: Ocean Renewable Energy, V009T09A040, May 31, 2015, OMAE2015-41301.</mixed-citation><mixed-citation xml:lang="en">Housseine C., Monroy C., de Hauteclocque G. Stochastic Linearization of the Morison Equation Applied to an Offshore Wind Turbine. Proc. ASME. 56574; Volume 9: Ocean Renewable Energy, V009T09A040, May 31, 2015, OMAE2015-41301.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Morison J. R., O'Brien M. P., Johnson J. W., Schaaf S. A. The forces exerted by surface waves on piles. Petroleum transactions, AIME. 1950, 189, 149—157.</mixed-citation><mixed-citation xml:lang="en">Morison J. R., O'Brien M. P., Johnson J. W., Schaaf S. A. The forces exerted by surface waves on piles. Petroleum transactions, AIME. 1950, 189, 149—157.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Tovstik P. E., Tovstik T. M., Shekhovtsov A. S., Shekhovtsov V. A. Motion of a flowing cylinder under waves. Vestnik St. Petersburg Univ., ser. 1. 2012, 3, 137—143 (in Russian).</mixed-citation><mixed-citation xml:lang="en">Tovstik P. E., Tovstik T. M., Shekhovtsov A. S., Shekhovtsov V. A. Motion of a flowing cylinder under waves. Vestnik St. Petersburg Univ., ser. 1. 2012, 3, 137—143 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Lighhill M. J. Fundamentals concerning wave loading on offshore structures. Journal of Fluid Mechanics. 1986, 173, 667—681.</mixed-citation><mixed-citation xml:lang="en">Lighhill M. J. Fundamentals concerning wave loading on offshore structures. Journal of Fluid Mechanics. 1986, 173, 667—681.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Tyugin D. Yu., Kurkin A. A., Pelinovsky E. N., Kurkina O. E. Increase of productivity of software package for modeling of internal gravity waves IGW Research with the help of Intel® Parallel Studio XE 2013. Fundamentalnaya i Prikladnaya Gidrofizika. 2012, 5, 3, 89—95 (in Russian).</mixed-citation><mixed-citation xml:lang="en">Tyugin D. Yu., Kurkin A. A., Pelinovsky E. N., Kurkina O. E. Increase of productivity of software package for modeling of internal gravity waves IGW Research with the help of Intel® Parallel Studio XE 2013. Fundamentalnaya i Prikladnaya Gidrofizika. 2012, 5, 3, 89—95 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Rouvinskaya E. A., Kurkina O. E., Kurkin A. A. Modeling of internal weather in the ecosystem of the stratified sea shelf. Ecological Systems and Devices. 2011, 6, 8—16 (in Russian).</mixed-citation><mixed-citation xml:lang="en">Rouvinskaya E. A., Kurkina O. E., Kurkin A. A. Modeling of internal weather in the ecosystem of the stratified sea shelf. Ecological Systems and Devices. 2011, 6, 8—16 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Romanov A. A., Sedaeva O. S., Shevchenko G. V. Seasonal and tidal variations of the sea level between Hokkaido and Sakhalin Islands based on satellite altimetry and coastal tide gauge data. J. Pacific Oceanography. 2004, 2, 117—125.</mixed-citation><mixed-citation xml:lang="en">Romanov A. A., Sedaeva O. S., Shevchenko G. V. Seasonal and tidal variations of the sea level between Hokkaido and Sakhalin Islands based on satellite altimetry and coastal tide gauge data. J. Pacific Oceanography. 2004, 2, 117—125.</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>
