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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="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 pub-id-type="doi">10.59887/fpg/bvve-b2up-ru85</article-id><article-id custom-type="elpub" pub-id-type="custom">hydrophysics-1152</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>ГИДРОФИЗИЧЕСКИЕ И БИОГЕОХИМИЧЕСКИЕ ПОЛЯ И ПРОЦЕССЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>HYDROPHYSICAL AND BIOGEOCHEMICAL FIELDS AND PROCESSES</subject></subj-group></article-categories><title-group><article-title>Восстановление параметров внутренних приливных боров в море Банда по данным спутникового дистанционного зондирования</article-title><trans-title-group xml:lang="en"><trans-title>Reconstructing the Parameters of Internal Tidal Bores in the Banda Sea from Satellite Remote Sensing Data</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>Новотрясов</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Novotryasov</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p> ул. Балтийская, д. 43, г. Владивосток, 690041</p></bio><bio xml:lang="en"><p>43, Baltiyskaya Str., Vladivostok, 690041</p></bio><email xlink:type="simple">vadimnov@poi.dvo.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>Дубина</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dubina</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p> ул. Балтийская, д. 43, г. Владивосток, 690041</p></bio><bio xml:lang="en"><p>43, Baltiyskaya Str., Vladivostok, 690041</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>Митник</surname><given-names>Л. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Mitnik</surname><given-names>L. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p> ул. Балтийская, д. 43, г. Владивосток, 690041</p></bio><bio xml:lang="en"><p>43, Baltiyskaya Str., Vladivostok, 690041</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Тихоокеанский океанологический институт им. В.И. Ильичева ДВО РАН<country>Россия</country></aff><aff xml:lang="en">V.I. Il’ichev Pacific Oceanological Institute, Far-Eastern Branch, 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>06</day><month>01</month><year>2023</year></pub-date><volume>15</volume><issue>4</issue><fpage>8</fpage><lpage>22</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Новотрясов В.В., Дубина В.А., Митник Л.М., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Новотрясов В.В., Дубина В.А., Митник Л.М.</copyright-holder><copyright-holder xml:lang="en">Novotryasov V.V., Dubina V.A., Mitnik L.M.</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://hydrophysics.spbrc.ru/jour/article/view/1152">https://hydrophysics.spbrc.ru/jour/article/view/1152</self-uri><abstract><p>Представлен алгоритм для оценки вертикальных смещений изопикн и скоростей горизонтальных течений, вызванных внутренними приливными борами по их проявлениям в поле шероховатости на спутниковых изображениях моря Банда. Алгоритм расчёта сформулирован с использованием уравнения Кортевега-де Вриза (KdV), дополненного слагаемым, учитывающим цилиндрическую расходимость. Коэффициенты уравнения KdV — квадратичная нелинейность, дисперсия и скорость линейных внутренних волн с приливной частотой, были рассчитанны с использованием среднеклиматического профиля плотности в море Банда. По спутниковым изображениям были определены скорость солитона, лидирующего в боре, и длина волны в его тыловой зоне. С помощью предложенной методики получены оценки максимального вертикального смещения пикноклина/максимальной амплитуды лидирующего солитона и максимальной скорости поверхностных течений, индуцированных внутренними приливными борами. Из анализа спутниковых наблюдений следует, что внутренние приливные боры в море Банда трансформируются под действием не только нелинейности и дисперсии, но и цилиндрической расходимости. В рамках кноидальной модели внутренних приливных боров показано, что в процессе эволюции энергия его лидирующей и последующих волн затухает вследствие цилиндрической расходимости. Выполнена оценка этого затухания при прохождении расстояния, которое преодолевает лидирующий солитон за время, равное удвоенному приливному периоду.</p></abstract><trans-abstract xml:lang="en"><p>This article presents an algorithm for estimating the vertical displacements of isopycn and horizontal current velocities caused by internal tidal borings from their manifestations in the roughness field on satellite images of the Banda Sea. The calculation algorithm is formulated within the framework of the Korteweg-de Vries equation (KdV), augmented with a term taking into account the cylindrical divergence. The coefficients of the KdV equation — quadratic nonlinearity, dispersion and tidal linear internal wave velocity — were calculated using the mean — climatic density profile in the Banda Sea. The leading soliton velocity and wavelength in the rear zone of the internal tidal borings were determined from satellite images. Using the proposed methodology, estimates of the maximum vertical displacement of the pycnocline/maximum amplitude of the leading soliton and the maximum velocity of surface currents induced by the internal tidal borings were obtained. It follows from the analysis of satellite images that the internal tidal borings in the Banda Sea are transformed under the action not only of nonlinearity and dispersion, but also of cylindrical divergence. It is shown in the framework of the knoidal model of internal tidal borings that in the process of evolution the energy of its leading and subsequent waves is attenuated due to the cylindrical divergence. This attenuation is estimated when the leading soliton travels a distance equal to twice the tidal period.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>внутренние приливные боры</kwd><kwd>море Банда</kwd><kwd>уравнение Кортевега-де Вриза</kwd><kwd>солитоны</kwd><kwd>кинематические и динамические характеристики</kwd><kwd>спутниковые изображения РСА</kwd></kwd-group><kwd-group xml:lang="en"><kwd>internal tidal bores</kwd><kwd>Banda Sea</kwd><kwd>Korteweg-de Vries equation</kwd><kwd>solitons</kwd><kwd>kinematic and dynamic characteristics</kwd><kwd>SAR satellite images</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Обработка и анализ спутниковых данных выполнена по госбюджетной тематике ТОИ ДВО РАН «Технологии дистанционного зондирования Земли и наземных измерительных систем в комплексных исследованиях динамических явлений в океане и атмосфере» (рег. № 0211–2021–0007), вывод соотношений для определения динамических характеристик внутренних приливных боров, анализ полученных данных и их интерпретация выполнены по теме «Математическое моделирование и анализ динамических процессов в океане» (рег. № 0271–2019–0001). Авторы благодарят анонимных рецензентов за содержательные рекомендации и полезные комментарии.</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>The satellite data processing and analysis was carried out on the State budget Theme of the Pacific Oceanological Institute of the Far Eastern Branch of the Russian Academy of Sciences “Technologies for remote sensing of the Earth and ground-based measuring systems in complex studies of dynamic phenomena in the ocean and atmosphere” (registration No. 0211-2021-0007), derivation of relations for determination of the dynamic characteristics of internal tidal bores, the analysis of the obtained data and their interpretation were carried out on the Theme “Mathematical modeling and analysis of dynamic processes in the ocean” (reg. No. 0271-2019-0001). 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