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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">sergeogr</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Российской академии наук. Серия географическая</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya Rossiiskoi Akademii Nauk. Seriya Geograficheskaya</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2587-5566</issn><issn pub-type="epub">2658-6975</issn><publisher><publisher-name></publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.7868/S2658697525040041</article-id><article-id custom-type="elpub" pub-id-type="custom">sergeogr-3028</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>ПРИРОДНЫЕ ПРОЦЕССЫ И ДИНАМИКА ГЕОСИСТЕМ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>NATURAL PROCESSES AND DYNAMICS OF GEOSYSTEMS</subject></subj-group></article-categories><title-group><article-title>Структурные уровни меандрирования речных русел и морфодинамическая классификация излучин</article-title><trans-title-group xml:lang="en"><trans-title>Structural Levels of Meandering of River Channels and Morphodynamic Classification of Bends</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>Чалов</surname><given-names>Р. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Chalov</surname><given-names>R. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><email xlink:type="simple">rschalov@mail.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>Чалов</surname><given-names>С. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Chalov</surname><given-names>S. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><email xlink:type="simple">srchalov@geogr.msu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный университет имени М.В. Ломоносова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Lomonosov Moscow State University, Faculty of Geography</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Московский государственный университет имени М.В. Ломоносова; Российский университет транспорта</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Lomonosov Moscow State University, Faculty of Geography; Russian University of Transport</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>11</day><month>02</month><year>2026</year></pub-date><volume>89</volume><issue>4</issue><elocation-id>538–554</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Чалов Р.С., Чалов С.Р., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Чалов Р.С., Чалов С.Р.</copyright-holder><copyright-holder xml:lang="en">Chalov R.S., Chalov S.R.</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://izvestia.igras.ru/jour/article/view/3028">https://izvestia.igras.ru/jour/article/view/3028</self-uri><abstract><p>Меандрирующие русла — основной по распространению тип речных русел, характеризующийся исключительным разнообразием. Различные формы извилистых русел и структурные уровни меандрирования должны учитываться при обосновании водохозяйственных, путевых (на судоходных реках) и гидротехнических мероприятий, разработке прогнозов русловых переформирований, а также при палеорусловом и палеогидрологическом анализе. В статье обосновывается единая морфодинамическая классификация речных излучин. Выделены пять структурных уровней меандрирования широкопойменных русел: извилины динамической оси потока, не проявляющиеся в форме русла; побочневые русла, в которых извилистость потока, огибающего побочни, проявляется в межень; нормальные излучины русла, определяющие морфодинамический тип русла; большие излучины, формирующиеся на реках с большой шириной поймы; изгибы пояса меандрирования. Для выделенных типов определены гидролого-морфологические условия их развития и соответствующие им значения параметров излучин. Для врезанных излучин в условиях ограниченного развития русловых деформаций выявлено ключевое влияние двух факторов — наибольшей водности реки за всю историю ее существования (унаследованные излучины) или геолого-геоморфологического строения территории.</p></abstract><trans-abstract xml:lang="en"><p>The study presents a novel classification of meandering channels, as well as the hydrological and morphological drivers of their evolution. The classification includes bends in the flow that are not related to channel patterns and that exist under small runoff and sandy channel-forming sediments; side-bar channels, in which the sinuosity of the flow enveloping the side channels is manifested during the low-water period, normal bends in the channel that form specific patterns; morphologically homogeneous sections; characteristic of the sleeves of channels; floodplain-channel branches and bifurcated channels; large meanders formed on rivers with large floodplains, where the tops of adjacent meanders are located near or at opposite ends of the valley; and meander belts. For incised meanders, characteristic of limited conditions for the development of channel deformations, their shape and parameters are associated with a greater specific value of the channel-forming water flow (due to the absence of dispersion of runoff across the flooded floodplain), a reflection of the greatest water content of the river throughout the history of its existence (inherited meanders) or the geological and geomorphological structure of the territory. The morphological manifestations of the structural levels of meandering (normal and large meanders) are reflected in the newly developed, comprehensive classification of river channels. This classification includes both the meanders that determine the type and form of morphologically homogeneous sections of the channel, and the meanders of the branches of channel, floodplain-channel branches and bifurcated channels. Various forms of meandering channels and structural levels of meandering should be taken into account when substantiating water management, route (on shipping rivers) and hydraulic engineering measures, developing forecasts of channel reformations and paleochannel and palehydrological analysis.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>нормальные и большие излучины</kwd><kwd>пояс меандрирования</kwd><kwd>побочневое русло</kwd><kwd>извилины динамической оси потока</kwd><kwd>врезанные излучины</kwd><kwd>излучины рукавов разветвлений</kwd></kwd-group><kwd-group xml:lang="en"><kwd>normal and large bends</kwd><kwd>meandering belt</kwd><kwd>side channel</kwd><kwd>bends of the dynamic axis of the flow</kwd><kwd>incised bends</kwd><kwd>bends of branching branches</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Выполнено по планам НИР (ГЗ) кафедры гидрологии суши (№ 121051400038-1) и научно-исследовательской лаборатории эрозии почв и русловых процессов им. Н.И. Маккавеева (№ 12105100166-4) (исходные данные) при финансовой поддержке РНФ (проект 2317-00065 — натурные исследования, русловой анализ). Анализ излучин рек урбанизированных территорий выполнен в рамках гранта РНФ № 25-17-00073. Гидролого-морфологический анализ выполнен в рамках госзадания РУТ № 103-0001-25-02 от 20.03.2025 г.</funding-statement><funding-statement xml:lang="en">This paper was prepared as part of the Department of Land Hydrology’s (project no. 121051400038-1) and the Makkaveev Research Laboratory of Soil Erosion and Fluvial Processes’ (project no. 12105100166-4) scientific research plans, with financial support from the Russian Science Foundation (project no. 23-17-00065), Russian University of Transport state contract (no. 103-00001-25-02 from March 20, 2015). The analysis of urban rivers was conducted as part of the Russian Science Foundation project no. 25-17-00073.</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">Великанов М.А. Русловой процесс. М.: Госфизматиздат, 1958. 395 с.</mixed-citation><mixed-citation xml:lang="en">Allen J.B.I. Sedimentary structures: their character and physical basis. Vol. 2. Amsterdam: Elsevier, 1994.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Великанова З.М. Лабораторные исследования речных излучин // Тр. ГГИ. 1968. Вып. 147. С. 40–51.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S. Dynamics of riffles and its quantitative characteristics. In Voprosy geografii. Vyp. 63 [Problems of Geography. Vol. 63]. Moscow: Geograf. Publ., 1963, pp. 100–111. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Виноградов В.А. Некоторые особенности структуры потока и морфологии излучин при свободном меандрировании // Тр. ГГИ. 1973. Вып. 209. С. 36–59.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S. Geograficheskie issledovaniya ruslovykh protsessov [Geographic Studies of Channel Processes]. Moscow: Mosk. Gos. Univ. Publ., 1979. 232 p.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Гришанин К.В. Теория руслового процесса. М.: Транспорт, 1972. 286 с.</mixed-citation><mixed-citation xml:lang="en">Chalov S.R. Hydrological functions of a branched channel. Extended Abstract of Cand. Sci. (Geogr.) Dissertation. Moscow: Moscow State Univ., 2007. 25 p.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Гришанин К.В., Замышляев В.И. Возникновение меандрирования рек как проблема гидродинамической неустойчивости // Тр. ГГИ. 1985. Вып. 301. С. 5–12.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S. Ruslovedenie: Teoriya, geografiya, praktika. T. 1. Ruslovye protsessy: faktory, mekhanizmy, formy proyavleniya i usloviya formirovaniya rechnykh rusel [Riverbed Science: Theory, Geography, Practice. Vol. 1. Channel Processes: Factors, Mechanisms, Forms and Conditions of Channel Formation]. Moscow: LKI Publ., 2008. 608 p.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Завадский А.С. Гидролого-морфологический анализ меандрирования русел равнинных рек. Автореф. дисс. … канд. геогр. наук. М.: МГУ, 2001. 27 с.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S. Ruslovedenie: teoriya, geografiya, praktika. T. 2. Morfodinamika rechnykh rusel [Riverbed Science: Theory, Geography, Practice. Vol. 2: Morphodynamics of River Channels]. Moscow: KRASAND Publ., 2011. 960 p.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Замышляев В.И. О причинах меандрирования рек (обзор работ зарубежных авторов) / Вопросы гидрологии суши. Л.: Гидрометеоиздат, 1978. С. 133–141.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S. Ruslovye processy (ruslovedenie) [Channel Processes (Riverbed Science)]. Moscow: INFRA-M Publ., 2016. 569 p.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Иванов В.В. Условия формирования, гидролого-морфометрические зависимости и деформации относительно прямолинейных неразветвленных русел. Автореф. дисс. … канд. геогр. наук. М.: МГУ, 1989. 23 с.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S. Chalov S.R. Discrete properties of channel processes and their reflection in the morphodynamics of river channels. Water Resour., 2023, vol. 87, no. 2, pp. 234–249. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Иванов В.В., Матвеев Б.В., Чернов А.В. Особенности развития излучин при изменении условий руслоформирований // Геоморфология. 1983. № 3. С. 71–78.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S. Chalova E.R. Geographical patterns of river channel meandering in Russia. Geogr. Nat. Resour., 2023, vol. 44, pp. 198–207. https://doi.org/10.1134/S1875372823030034</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Карасев И.Ф. Русловые процессы при переброске стока. Л.: Гидрометеоиздат, 1975. 288 с.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S., Alabyan A.M., Ivanov V.V., Lodina R.V., Panin A.V. Morfodinamika rusel ravninnyh rek [Morphodynamics of Lowland River Beds]. Moscow: GEOS Publ., 1998. 288 p.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Каргаполова И.Н., Завадский А.С. Естественные изменения русла нижнего течения р. Москвы и его трансформация в условиях интенсивной хозяйственной деятельности // Геоморфология. 2006. № 1. С. 45–56.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S., Zavadskii A.S., Panin A.V. Rechnye izluchiny [River Meamders]. Moscow: Izd-vo MGU, 2004. 371 p.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Кондратьев Н.Е. О дискретности русловых процессов // Проблемы русловых процессов. Л.: Гидрометеоиздат, 1953. С. 34–42.</mixed-citation><mixed-citation xml:lang="en">Chalov R.S., Kamyshev A.L., Kurakova A.A., Golubcov G.B. Formation of branches at bends in the riverbed. Vestn. Mosk. Univ., Ser. 5: Geogr., 2023, vol. 78, no 6, pp. 64–78. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Кондратьев Н.Е. Русловые деформации в меандрирующем русле // Тр. ГГИ. 1954. Вып. 44 (98). С. 5–13.</mixed-citation><mixed-citation xml:lang="en">Eksperimental’naya geomorfologiya. Vyp. 2 [Experimental Geomorphology. Issue 2]. Moscow: Izd-vo MGU, 1969. 173 p.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Кондратьев Н.Е., Ляпин А.Н., Попов И.В., Пиньковский С.И., Фёдоров Н.Н., Якунин Н.А. Русловой процесс. Л.: Гидрометеоиздат, 1959. 272 с.</mixed-citation><mixed-citation xml:lang="en">Fargue L. La forme du lit des rivers a fond mobile. Parisi Gauthier-Villars, 1908. 87 p.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Кондратьев Н.Е., Попов И.В., Снищенко Б.Ф. Основы гидроморфологической теории руслового процесса. Л.: Гидрометеоиздат, 1982. 272 с.</mixed-citation><mixed-citation xml:lang="en">Ferguson R.T. The Threshold between meandering and braiding. In Proc. Intem. Conf. “Channels and channel contral structures”, no 6. Berlin, 1984, pp. 15–29.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Лелявский Н.С. О речных течениях и формировании речного русла // Тр. 2-го съезда инженеров-гидротехников в 1893 г. СПб., 1893 (Вопросы гидротехники свободных рек. М.: Речиздат, 1948. С. 146–156).</mixed-citation><mixed-citation xml:lang="en">Fredsoe G. Meandering and braiding of rivers. G. Fluicl. Mech., 1978, vol. 84, no. 4, pp. 609–624.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Куракова А.А., Чалов Р.С. Морфодинамика русла нижнего Иртыша // Геоморфология. 2022. Т. 53. № 4. С. 99–109.</mixed-citation><mixed-citation xml:lang="en">Friedkin G.F. A laboratory study of the meandering of alluvial rivers. Vicksburg: US Army Corps Eng. Waterways Experimental Station, 1945. 40 p.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Маккавеев Н.И. Русло реки и эрозия в ее бассейне. М.: Изд-во АН СССР, 1955. 347 с.</mixed-citation><mixed-citation xml:lang="en">Grishanin K.V. Teoriya ruslovogo protsessa [Channel Process Theory]. Moscow: Transport Publ., 1972. 216 p.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Маккавеев Н.И. Сток и русловые процессы. М.: Изд-во МГУ, 1971. 116 с.</mixed-citation><mixed-citation xml:lang="en">Grishanin K.V., Zamyshlyaev V.I. The emergence of river meandering as a problem of hydrodynamic instability. In Tr. GGI. Vyp. 301 [Proc. of the State Hydrological Institute. Issue 301]. Leningrad, 1985, pp. 5–12. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Маккавеев Н.И., Хмелева Н.В. Смещение речных излучин // Речной транспорт. 1965. № 1. С. 34–36.</mixed-citation><mixed-citation xml:lang="en">Hickin E.G. Mean flow structure in meanders of the Squamish River, British Columbia. Can. J. Earth Sci., 1978, vol. 15, no. 11, pp. 1833–1849.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Матвеев Б.В. Процесс меандрирования и развития речных долин // Геоморфология. 1988. № 1. С. 63–69.</mixed-citation><mixed-citation xml:lang="en">Hooke J.M. Changes in river meanders: A river of technigues and results of analyses. Prog. Phys. Geog., 1984, no. 8, pp. 473–508.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Милович А.Я. Нерабочий изгиб потока жидкости // Бюлл. Политех. общ-ва. 1914. № 10. С. 5–72.</mixed-citation><mixed-citation xml:lang="en">Ivanov V.V. Formation conditions, hydrologicalmorphometric dependencies and deformations of relatively straight, unbranched channels. Extended Abstract of Cand. Sci. (Geogr.) Dissertation. Moscow: Moscow State Univ., 1989. 23 p.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Панин А.В. Морфология и динамика врезанных галечно-валунных русел. Автореф. дисс. … канд. геогр. наук. М.: МГУ, 1991. 24 с.</mixed-citation><mixed-citation xml:lang="en">Ivanov V.V., Matveev B.V., Chernov A.V. Features of the development of bends with changing channel formation conditions. Geomorfol., 1983, no. 3, pp. 71–78. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Попов И.В. О формах перемещения речных излучин // Тр. ГГИ. 1956. Вып. 56 (110). С. 36–57.</mixed-citation><mixed-citation xml:lang="en">Karasev I.F. Ruslovye protsessy pri perebroske stoka [Channel Processes During Runoff Diversion]. Leningrad: Gidrometeoizdat Publ., 1975. 288 p.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Попов И.В. Деформации речных русел и гидротехническое строительство. Л.: Гидрометеоиздат, 1965. 328 с.</mixed-citation><mixed-citation xml:lang="en">Knighton A.D. The meander problem. Geogr., 1977, vol. 275, no. 2, pp. 106–111.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Проектирование судовых ходов на свободных реках / Тр. ЦНИИЭВТ. 1964. Вып. 36. 262 с.</mixed-citation><mixed-citation xml:lang="en">Kondrat’ev N.E. On the discreteness of channel processes. In Problemy ruslovykh protsessov [Problems of Channel Processes]. Leningrad: Gidrometeoizdat Publ, 1953, pp. 34–42. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Розовский И.Л. Движение воды на повороте открытого русла. Киев: Изд-во АН УССР, 1957. 188 с.</mixed-citation><mixed-citation xml:lang="en">Kondrat’ev N.E. Channel deformations in a meandering channel. In Tr. GGI. Vyp. 44 [Proc. of the State Hydrological Institute]. Moscow, 1954, pp. 5–13. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Русловые процессы и водные пути на реках Обского бассейна. Новосибирск: РИПЭЛ плюс, 2001. 300 с.</mixed-citation><mixed-citation xml:lang="en">Kondrat’ev N.E., Lyapin A.N., Popov I.V., Pin’kovskii S.I., Fedorov N.N., Yakunin N.A. Ruslovoi process [Riverbed Process]. Leningrad: Gidrometeoizdat Publ., 1959. 272 p.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Сидорчук А.Ю. Меандры речного русла // Маккавеевские чтения. 2017. М.: Географ. ф-тет МГУ, 2018. С. 93–104.</mixed-citation><mixed-citation xml:lang="en">Kondrat’ev N.E., Popov I.V., Snishchenko B.F. Osnovy gidromorfologicheskoi teorii ruslovogo protsessa [The Basics of Hydromorphological Theory of Channel Processes]. Leningrad: Gidrometeoizdat Publ., 1982. 272 p.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С. Географические исследования русловых процессов. М.: Изд-во МГУ, 1979. 232 с.</mixed-citation><mixed-citation xml:lang="en">Kurakova A.A., Chalov R.S. Morphodynamics of Lower Irtysh riverbed. Geomorfol., 2022, vol. 53, no. 4, pp. 99–109. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С. Динамика перекатов и ее количественные характеристики // Вопросы географии. М.: Географгиз, 1963. Вып. 63. С. 100–111.</mixed-citation><mixed-citation xml:lang="en">Langhorst T., Pavelsky T. Global observations of riverbank erosion and accretion from Landsat imagery. J. Geophys. Res. Earth Surf., 2023, vol. 128. https://doi.org/10.1029/2022JF006774</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С. Русловедение: теория, география, практика. Т. 1. Русловые процессы: факторы, механизмы, формы проявления и условия формирования речных русел. М.: Изд-во ЛКИ, 2008. 608 с.</mixed-citation><mixed-citation xml:lang="en">Lelyavskii N.S. About river currents and formation of river beds. In Tr. 2-go s’’ezda inzhenerov-gidrotehnikov v 1893 g. [Proc. of 2nd Hydrotechnic Engineers Congress]. St. Petersburg, 1893.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С. Русловедение: теория, география, практика. Т. 2. Морфодинамика речных русел. М.: КРАСАНД, 2011. 960 с.</mixed-citation><mixed-citation xml:lang="en">Leopold L.B., Wolman M.G. River meander. Geol. Soc. Am. Bull., 1960, vol. 71, pp. 70–79.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С. Русловые процессы (русловедение). М.: ИНФРА-М, 2016. 569 с.</mixed-citation><mixed-citation xml:lang="en">Makkaveev N.I. Ruslo reku i eroziya v ee basseine [River Bed and Erosion in Its Basin]. Moscow: Izd-vo AN SSSR, 1955. 347 p.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С., Алабян А.М., Иванов В.В., Лодина Р.В., Панин А.В. Морфодинамика русел равнинных рек. М.: ГЕОС, 1998. 288 с.</mixed-citation><mixed-citation xml:lang="en">Makkaveev N.I. Stok i ruslovye protsessy [Runoff and Channel Processes]. Moscow: Izd-vo Mosk. Univ., 1971. 116 p.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С., Завадский А.С., Панин А.В. Речные излучины. М.: Изд-во МГУ, 2004. 571 с.</mixed-citation><mixed-citation xml:lang="en">Makkaveev N.I., Khmeleva N.V. Shifting river bends. Rechn. Transport, 1965, no. 1, pp. 34–36. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С., Камышев А.Л., Куракова А.А., Голубцов Г.Б. Формирование разветвлений на излучинах русла // Вест. Моск. ун-та. Серия 5. География. 2023. Т. 78. № 6. С. 64–78.</mixed-citation><mixed-citation xml:lang="en">Matveev B.V. The process of meandering and development of river valleys. Geomorfol., 1988, no. 1, pp. 63–69. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С., Чалов С.Р. Дискретные свойства русловых процессов и их отражение в морфодинамике речных русел // Водные ресурсы. 2023. Т. 87. № 2. С. 234–249.</mixed-citation><mixed-citation xml:lang="en">Milovich A.Ya. Non-working bend in fluid flow. Byull. Politekhn. Obshch., 1914, no. 10, pp. 5–72. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов Р.С., Чалова Е.Р. Географические закономерности меандрирования русел рек России // География и природные ресурсы. 2023. № 3. С. 13–24.</mixed-citation><mixed-citation xml:lang="en">Panin A.V. Morphology and dynamics of incised pebbleboulder channels. Extended Abstract of Cand. Sci. (Geogr.) Dissertation. Moscow: Moscow State Univ., 1991. 24 p.</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Чалов С.Р. Гидрологические функции разветвленного русла. Автореф. дисс. … канд. геогр. наук. М.: МГУ, 2007. 25 с.</mixed-citation><mixed-citation xml:lang="en">Parker G. On the cause and characteristic scales of meandering and braiding in rivers. J. Fluid Mechanics, 1976, noю 76, pp. 457–480.</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Экспериментальная геоморфология. М.: Изд-во МГУ, 1969. Вып. 2. 173 с.</mixed-citation><mixed-citation xml:lang="en">Popov I.V. On the forms of movement of river bends. In Tr. GGI. Vyp. 56 [Proc. of the State Hydrological Institute. Issue 56]. Leningrad, 1956, pp. 3–57. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Ярославцев И.А. Особенности руслового процесса на излучинах русла в паводок // Тр. ГГИ. 1966. Вып. 136. С. 77–81.</mixed-citation><mixed-citation xml:lang="en">Popov I.V. Deformatsii rechnykh rusel i gidrotekhnicheskoe stroitel’stvo [Deformations of River Channels and Hydraulic Engineering]. Leningrad.: Gidrometeoizdat. Publ., 1965. 328 p.</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Allen J.B.I. Sedimentary structures: their character and physical basis. Vol. II. Amsterdam: lsevier, 1994.</mixed-citation><mixed-citation xml:lang="en">Rice J.C. Planform properties of meandering rivers in River. In Proceedings of the Conference – Rivers’ 83. American Society of Civil Engineers. New Orleans. 1984, pp. 1–15.</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Fargue L. La forme du lit des rivers a fond mobile. Parisi Gauthier-Villars, 1908. 87 p.</mixed-citation><mixed-citation xml:lang="en">Rozovskii I.L. Dvizhenie vody na povorote otkrytogo rusla [Movement of Water at a Turn in an Open Channel]. Kiev: Izd-vo AN SSSR, 1957. 188 p.</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Ferguson R.T. The Threshold between meandering and braiding // Proc. Intem. Conf. “Channels and channel contral structures”. Berlin e. a. 1984. № 6. P. 15–29.</mixed-citation><mixed-citation xml:lang="en">Ruslovye processy i vodnye puti na rekakh Obskogo basseina [Channel Processes and Waterways on the Rivers of the Ob’ Basin]. Novosibirsk: RIPEL plyus Publ., 2001. 300 p.</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">Fredsoe G. Meandering and braiding of rivers // G. Fluicl. Mech. 1978. Vol. 84. № 4. P. 609–624.</mixed-citation><mixed-citation xml:lang="en">Sidorchuk A.Yu. River bed meanders. In Makkaveevskie chtenija – 2017 [Makkev’s Reedings – 2017]. Moscow: Geogr. fakul’tet MGU, 2018, pp. 93–104. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">Friedkin G.F. A Laboratory study of the meandering of alluvial rivers / US Army Corps Eng. Waterways Experimental Station. Vicksburg: Mississipi, 1945. 40 p.</mixed-citation><mixed-citation xml:lang="en">Tincler K.J. Pools, riffles and meanders. Geol. Soc. Am. Bull., 1970, vol. 81, no. 2, pp. 547–552.</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Hickin E.G. Mean flow structure in meanders of the Squamish River, British Columbia // Can. G. Earch. Sce. 1978. Vol. 15. № 11. P. 1833–1849.</mixed-citation><mixed-citation xml:lang="en">Tr. CNIIEVT. T. 36: Proektirovanie sudovykh khodov na svobodnykh rekakh [Proceedings of CNIIEVT. Vol. 36: Design of shipping lanes on free rivers], 1964. 262 p.</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">Hooke J.M. Changes in river meanders: A river of technigues and results of analyses // Progress in Pysical Feography. 1984. № 8. P. 473–508.</mixed-citation><mixed-citation xml:lang="en">Velikanov M.A. Ruslovoi process [Riverbed Process]. Moscow: Gosfizmatizdat Publ., 1958. 395 p.</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Knighton A.D. The meander problem // Geography. 1977. P. 2. № 275. P. 106–111.</mixed-citation><mixed-citation xml:lang="en">Velikanova Z.M. Laboratory research of river bends. In Tr. GGI. Vyp. 147 [Proc. of the State Hydrological Institute. Issue 147]. Leningrad, 1968, pp. 40–51. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit51"><label>51</label><citation-alternatives><mixed-citation xml:lang="ru">Leopold L.B., Wolman M.G. River meander // Geol. Soc. Am. Bull. 1960. Vol. 71. P. 70–79.</mixed-citation><mixed-citation xml:lang="en">Vinogradov V.A. Some features of the flow structure and morphology of bends during free meandering. In Tr. GGI. Vyp. 209 [Proc. of the State Hydrological Institute. Issue 209]. Leningrad, 1973, pp. 36–59. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit52"><label>52</label><citation-alternatives><mixed-citation xml:lang="ru">Parker G. On the cause and characteristic scales of meandering and braiding in rivers // J. of Fluid Mechanics. 1976. № 76. P. 457–480.</mixed-citation><mixed-citation xml:lang="en">Yang C.T. On River meanders. G. Hydrol., 1971, vol.13, no. 3, pp. 231–253.</mixed-citation></citation-alternatives></ref><ref id="cit53"><label>53</label><citation-alternatives><mixed-citation xml:lang="ru">Rice J.C. Pianform properties of meandering rivers in River vtandering // Proceedings of the Conferece — Rivers’ 83. American Society of Civil Enginers. New Orleans, 1984. P. 1–15.</mixed-citation><mixed-citation xml:lang="en">Yaroslavtsev I.A. Features of the channel process on bends of the channel during flood. Tr. GGI. Vyp. 136 [Proc. of the State Hydrological Institute. Issue 136]. Leningrad, 1966, pp. 77–81. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit54"><label>54</label><citation-alternatives><mixed-citation xml:lang="ru">Tincler K.J. Pools, riffles and meanders // Geol. Soc. Am. Bull. 1970. Vol. 81. № 2. P. 547–552.</mixed-citation><mixed-citation xml:lang="en">Zamyshlyaev V.I. On the causal factors of river meandering (review of works by foreign authors). In Vopr. gidrplogii sushi [Land Hydrology Questions]. Leningrad: Gidrometeoizdat Publ., 1978, pp. 133–141. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit55"><label>55</label><citation-alternatives><mixed-citation xml:lang="ru">Yang C.T. On River meanders // G. Hydrol. 1971. Vol. 13. № 3. P. 231–253.</mixed-citation><mixed-citation xml:lang="en">Zavadskii A.S. Hydrological and morphological analysis of meandering of channels of lowland rivers. Extended Abstract of Cand. Sci. (Geogr.) Dissertation. Moscow: Moscow State Univ., 2001. 27 p.</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>
