«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «NAUKI O ZEMLE»
«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «EARTH SCIENCES»
ISSN 2073-3402 (Print)

List of issues > Series «Earth Sciences». 2022. Vol 40

A New Method for Calculating the Heat Flux of Rivers in the Absence of Gauging-Station Data

Author(s)
D. V. Magritsky
Abstract
In the paper, a comparative analysis of previously developed methods for calculating the heat flux of rivers in the absence of gauging-station data are given, and a new method for such calculations is proposed. It is based on the Maps of specific annual heat flux of zonal rivers and empirical dependencies of heat flux on the average height of the catchment area. An example of such a map is the “Map of specific annual heat flux (MT, 109× kJ/km2) of rivers in the northeast of the Asian part of Russia” plotted on the data for the period from 1950/1955 to 2018 and on the basis of data from 112 gauging stations. General recommendations for calculating the annual heat flux of medium-sized rivers that do not have posts, the intra-annual distribution of heat flux, the values of heat flux at the mouths of large rivers are set out in the paper. The values of heat flux calculated for the marine mouths of region large rivers and the sections of seacoasts between these mouths are given as an example of the implementation of the new recommendations. The list of new materials that help calculations includes new maps of average monthly water temperatures (May-October), the dependence of water temperature and heat flux on the average height of the catchment area, the division of the territory of the Northeast Asian part of Russia into 10 altitude-thermal zones, the relationship between heat flux and water runoff, the catchment area of the river and other materials. In total, data from 34 weather stations, 231 posts with water temperatures and 145 posts with water discharges were used in the research.
About the Authors
Magritskiy Dmitry Vladimirovich, Candidate of Geographical Sciences, Associate Professor, Department of Hydrology, Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow, 119991, Russian Federation, e-mail: magdima@yandex.ru
For citation
Magritsky D.V.A New Method for Calculating the Heat Flux of Rivers in the Absence of Gauging-Station Data. The Bulletin of Irkutsk State University. Series Earth Sciences, 2022, vol. 40, pp. 82-104. https://doi.org/10.26516/2073-3402.2022.40.82 (in Russian)
Keywords
river, post, heat flux, calculation method
UDC
556.16
DOI
https://doi.org/10.26516/2073-3402.2022.40.82
References

Avtomatizirovannaya informatsionnaya sistema gosudarstvennogo monitoringa vodnykh ob"yektov [Automated information system for state monitoring of water bodies (AIS GMVO)]. Available at: https://gmvo.skniivh.ru/ (date of access: 26.01.2022) (in Russian)

Alekseevskii N.I. Rechnoi stok; geograficheskaya rol i indikatsionnye svoistva [River flow; geographical role and indicative properties]. Voprosy geografii[Questions of Geography], 2012, no.13, pp. 48-71 (in Russian)

Аlekseevskij N.I., Magrickij D.V., Ajbulatov D.N. Osobennosti i ocenki prostranstvennovremennoj izmenchivosti rechnogo stoka v mnogorukavnoj delte r. Leny [Features and estimates of the spatial-temporal variability of river flow in the multi-arm delta of the Lena River]. Menyayush102 chijsya klimat i socialno-ekonomicheskij potencial Rossijskoj Arktiki [Changing climate and socioeconomic potential of the Russian Arctic]. Vol. 2. Мoscow, Liga-Vent Publ., 2016, pp. 65-95. (in Russian)

Antonov N.D. Kolichestvo tepla, vnosimoe rekami v Karskoe more [The amount of heat transferred by rivers into the Kara Sea]. Trudy AANII [Proceedings of AARI]. 1936, vol. 35, pp. 23-50 (in Russian)

Antonov V. S. Velikie sibirskie reki [Great Siberian rivers]. Seriya “Nauki o Zemle” [Series “Earth Sciences”]. 1976, no.10, 44 p. (in Russian)

Vserossiyskiy nauchno-issledovatelskiy institut gidrometeorologicheskoy informatsii– Mirovoy tsentr dannykh (VNIIGMI-MTSD) [All-Russian Research Institute of Hydrometeorological Information – World Data Center (VNIIGMI-WDC)]. Available at: http://meteo.ru/ (date of access: 26.01.2022) (in Russian)

Geoekologicheskoe sostoyanie arkticheskogo poberezh'ya Rossii i bezopasnost prirodopolzovaniya [Geoecological state of the Arctic coast of Russia and safety of environmental management]. Moscow, GEOS Publ., 2007, 585 p. (in Russian)

Elshin Yu.A. Teplovoi stok rek evropeiskoi territorii SSSR [Heat flux of rivers of the European territory of the USSR]. Meteorologiya i gidrologiya [Meteorology and hydrology], 1981, no. 9, pp. 85-93 (in Russian)

Elshin Yu. A. Teplovoi stok v morya Severnogo Ledovitogo okeana [Heat flux in the Arctic Ocean seas]. Vodnye resursy [Water resources]. 1988, no. 5, pp. 63-68 (in Russian)

Zaikov B.D. Rechnoi stok v more Laptevykh i Vostochno-Sibirskoe i kolichestvo perenosimogo im v eti morya tepla [River runoff in the Laptev and East Siberian Seas and the amount of heat transferred by them to these seas]. Trudy Arkticheskogo institute [Proceedings of AARI], 1936, vol. 35, pp. 51-84 (in Russian)

Zotin M.I. Zhidkii i teplovoi stok v more Laptevykh [Water runoff and heat flux into the Laptev Sea]. Trudy Arkticheskogo institute [Proceedings of AARI], 1947, vol. 198, pp. 63 (in Russian)

Ivanov V.V., Nikiforov EG. Puti otsenki vozmozhnykh izmenenii gidrologicheskogo rezhima Karskogo morya pod vliyaniem mezhbasseinovoi perebroski stoka rek [Ways to assess possible changes in the hydrological regime of the Kara Sea under the influence of the inter-basin transfer of river flow]. Trudy AANII [Proceedings of AARI], 1976, vol. 314, pp.176-182 (in Russian)

Ivanov V.V., Kurzhunov A.N. Teplovoi stok rek v Obsko-Tazovskuyu gubu. [Heat flux of rivers in the Ob-Taz]. Trudy AANII [Proceedings of AARI], 1980, vol. 358, pp. 102-110 (in Russian)

Korovkin I. P. Materialy po gidrologii reki Khatangi [Materials on the hydrology of the Khatanga River]. Severnyi morskoi put [Northern Sea Route], 1940, vol. 16 (in Russian)

Korovkin I.P. O termicheskom rezhime i vliyanii teplovogo stoka sibirskikh rek na ledovitost morei [the thermal regime and the influence of heat flux of Siberian rivers on ice coverage of seas].

Problemy Arktiki [Problems of the Arctic], 1941, no. 1, pp. 23-29 (in Russian)

Kosmakov I.V. Termicheskii i ledovyi rezhim v verkhnikh i nizhnikh b'efakh vysokonapornykh gidroelektrostantsii na Enisee [Thermal and ice regime in the upper and lower reaches of highpressure hydroelectric power plants on the Yenisei]. Krasnoyarsk, Klaretianum Publ., 2001, 144 p. (in Russian)

Kurzhunov A.N. Teplovoi stok Eniseya v ust'evoi oblasti [Heat flux of the Yenisei in the estuary region]. Trudy AANII [Proceedings of AARI], 1984, vol. 394, pp. 66-74 (in Russian)

Magritskii D.V. Faktory i zakonomernosti mnogoletnikh izmenenii stoka vody, vzveshennykh nanosov i teploty Nizhnei Leny i Vilyuya [Factors and trends of the long-term fluctuations of water, sediment and heat runoff in the lower reaches of the Lena River and the Vilyui River]. Vestnik Moskovskogo universiteta. Seriya 5, Geografiya [Bulletin of Moscow State University. Series 5, Geography], 2015, no. 6, pp. 85-95 (in Russian)

Magritskii D.V. Osobennosti izmenenii teplovogo stoka rek Severo-vostoka aziatskoi chasti Rossii i otsenka ego velichiny [Features of changes in the heat flux of rivers in the North-East of the Asian part of Russia and an assessment of its value]. Dinamika i vzaimodeistvie geosfer Zemli. Materialy Vserossiiskoi konferentsii s mezhdunarodnym uchastiem [Proceedings of the All-Russian Conference with international participation “Dynamics and interaction of the Earth's geospheres”], 2021, vol. 2, pp. 57-60 (in Russian)

Magritskii D.V. Teplovoi stok rek v morya Rossiiskoi Arktiki i ego izmeneniya [Heat flux of rivers into the seas of the Russian Arctic and its changes]. Vestnik Moskovskogo universiteta. Seriya 5. Geografiya [Bulletin of Moscow State University. Series 5. Geography], 2009, vol. 5, pp. 69-77 (in Russian)

Magritskii D.V., Frolova N.L., Agafonova S.A., Efimov V.A., Vasilenko A.N., Sazonov A.A., Efimova L.E. Gidrologicheskie usloviya v ust'e r. Kolymy letom 2019 g. [Hydrological conditions at the mouth of the Kolyma River in the summer of 2019]. Vestnik Moskovskogo universiteta. Seriya 5, Geografiya [Bulletin of Moscow State University. Series 5, Geography], 2022, no. 1, pp. 134-151 (in Russian)

Kashcheev M.A., Kolgushkin V.V., Reshetov V.N., Istomin M.P., Chernyakhovskiy F.G., Shalaev V.A., Schreibe B.E. Materialy po gidrologii reki Anabar [Materials on the hydrology of the Anabar River]. Trudy AANII [Proceedings of AARI], 1937, vol. 106, pp. 1-53 (in Russian)

Nazarenko S.N., Sakharova N.B. Izmenenie ledotermichskogo rezhima r.Vilyui v nizhnem b'efe Vilyuiskoi GES I–II [Changing the ice-thermal regime of the Vilyuy River in the lower reaches of the Vilyuiskaya HPP I-II]. Gidrotekhnicheskoe stroitel'stvo [Hydrotechnical construction], 1982, no. 8, pp. 23–26 (in Russian)

Natsionalnyi atlas Rossii. T. 2. Priroda, ekologiya [National Atlas of Russia. Vol. 2. Environment, ecology]. Moscow, Roskartografiya Publ., 2007, 496 p. (in Russian)

Nikiforov E.G., Moretskii V.N., Shpaikher A.O. Izmenchivost' gidrologicheskogo rezhima Severnogo Ledovitogo okeana i problemy, voznikayushchie v svyazi s perebroskoi stoka rek ego basseina [Variability of the hydrological regime of the Arctic Ocean and problems arising in connection with the transfer of river flow in its basin]. Problemy Arktiki i Antarktiki [Problems of the Arctic and Antarctic], 1980, no. 55, pp. 67-78 (in Russian)

Odrova T.V. Izmenenie rezhima rek Eniseya i Angary v rezultate zaregulirovaniya stoka [Changing the regime of the Yenisei and Angara rivers as a result of flow regulation]. Vliyanie GES na okruzhayushchuyu sredu v usloviyakh Krainego Severa [The impact of hydroelectric power plants on the environment in the Far North]. Yakutsk, Academy of Sciences of the USSR, 1987, pp. 84-95 (in Russian)

Odrova T.V. Usloviya formirovaniya teplovogo stoka rek Sibiri [Conditions for the formation of het flux of Siberian rivers]. Dinamika i termika rek i vodokhranilishch [Dynamics and thermics of rivers and reservoirs]. Moscow, Academy of Sciences of the USSR, 1984, pp. 239–246 (in Russian)

Orlova G.A. Izmenenie termicheskogo rezhima Eniseya i Obi nizhe vodokhranilishch Krasnoyarskoi i Novosibirskoi GES [Changes in the thermal regime of the Yenisei and the Ob below the reservoirs of the Krasnoyarsk and Novosibirsk hydroelectric power plants]. Puti preobrazovaniya rechnogo stoka na yuge Sibiri [Ways to transform river flow in the south of Siberia]. Novosibirsk, Academy of Sciences of the USSR, 1984, pp. 23-39 (in Russian)

Resursy poverkhnostnykh vod SSSR. Tom 17. Leno-Indigirskii raion [Surface water resources of the USSR. Vol. 17. Lena-Indigirka area]. Leningrad, Gidrometeoizdat Publ., 1972, 652 p. (in Russian)

Resursy poverkhnostnykh vod SSSR. Tom 19. Severo-Vostok [Surface water resources of the USSR. Vol. 19. North-East]. Leningrad, Gidrometeoizdat Publ., 1969, 280 p. (in Russian)

Sovetskaya Arktika. Morya i ostrova Severnogo Ledovitogo okeana [Soviet Arctic. Seas and islands of the Arctic Ocean]. Moscow, Nauka Publ., 1970 (in Russian)

Sokolova E.M. Termicheskii rezhim rek SSSR [Thermal regime of the rivers of the USSR]. Trudy Gosudarstvennogo gidrologicheskogo institute [Proceedings of the State Hydrological Institute]. 1951, no. 30(84), 74 p. (in Russian)

Shostakovich V. Temperatura rek Sibiri i kolichestvo perenosimogo imi v Severnyi Ledovityi okeana tepla [Temperature of Siberian rivers and the amount of heat transferred by them to the Arctic Ocean]. Zapiski po gidrografii [Proceedings on hydrography], 1914, vol. 33, pp. 123-152 (in Russian)

Yang D., Park H., Peterson A., Liu B. Arctic River Water Temperatures and Thermal Regimes in Arctic Hydrology, Permafrost and Ecosystems. Switzerland, Springer Nature, 2020, pp. 287-314.

Magritsky D.V., Alexeevsky N.I, Aybulatov D.N., Fofonova V.V., Gorelkin A. Features and evaluations of spatial and temporal changes of water runoff, sediment yield and heat flux in the Lena River delta. Polarforschung, 2018, iss. 87 (2), pp. 89-110.

Costard F., Dupeyrat L., Gautier E., Carey-Gailhardis E. Fluvial thermal erosion investigations along a rapidly eroding river bank: Application to the Lena River (Central Siberia). Earth Surf. Process. Landforms, 2003, iss. 28, pp. 1349–1359.

Georgiadi A.G., Kashutina E.A., Milyukova I.P. Long-term Changes of Water Flow, Water Temperature and Heat Flux of the Largest Siberian Rivers. Polarforschung, 2018, iss. 87 (2), pp. 167-176.

van Vliet M. T., Ludwig H. F., Zwolsman J. J. G., Weedon G. P., Kabat P. Global river temperatures and sensitivity to atmospheric warming and changes in river flow. Water Resources Research, 2011, vol. 47, iss. 2. doi: 10.1029/2010WR009198

Park H., Watanabe E., Kim Yo., Polyakov I., Oshima K., Zhang X., Kimball J., Yang D. Increasing riverine heat influx triggers Arctic sea ice decline and oceanic and atmospheric warming. Science Advances, 2020, vol. 6, iss. 45. doi: 10.1126/sciadv.abc4699

Lammers R., Pundsack J., Shiklomanov A. Variability in river temperature, discharge, and energy flux from the Russian pan-Arctic landmass. Journal of Geophysical Research, 2007, vol. 112, G04S59, pp. 1-15.

Liu B., Yang D. Siberia Lena River heat flow regime and change. IAHS Publ., 2011, vol. 346, pp. 71-76.

Liu B., Yang D., Ye B., Berezovskaya S. Long-term open water season stream temperature variations and changes over Lena river basin in Siberia. Global Planet Change, 2005, vol. 48(1–3), pp. 96-111. https://doi.org/10.1016/j.gloplacha.2004.12.007

Park H., Yoshikawa Y., Yang D., Oshima K. Warming water in Arctic terrestrial rivers under climate change. Journal of Hydrometeorology, 2017, 18(7), pp.1983-1995. https://doi.org/10.1175/jhm-d-16-0260.1

Yang D., Liu B., Ye B. Stream temperature changes over Lena River Basin in Siberia. Geophysical Research Letters, 2005. vol. 32, no. 5. doi: 10.1029/2004GL021568

Yang D., Ye B., Kane D.L. Stream-flow changes over Siberian Yenisei River Basin. Journal of Hydrology, 2004, vol. 296, pp. 59-80.


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