Vol. 36, issue 06, article # 12

Krylova A. I., Lapteva N. A. Routing of river flow with variable velocity: the case of the Lena river basin. // Optika Atmosfery i Okeana. 2023. V. 36. No. 06. P. 507–512. DOI: 10.15372/AOO20230612 [in Russian].
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A time-varying flow velocity method for a conceptual model of river flow generation is implemented with the aim of improving flow routing in the Lena river basin. In contrast to constant velocity models, this approach uses a time-varying velocity which depends on the amount of flow generated in a land grid cell. The Manning equation is used to estimate flow velocity in the rectangular cross-sectional approximation for the river channel. Numerical experiments with constant and variable flow velocities made it possible to compare the model flow with the observed daily hydrographs at the runoff stations of Kyusyur, Tabaga, and Verkhoyanskiy Perevoz. The work provides an estimate of the heat flow from the Lena river basin to Kyusyur gauging station for 2002–2011.


conceptual model of river flow, routing scheme, observed hydrograph, constant and variable flow rates, heat flow


1. Krylova A.I., Lapteva N.A. Modelirovanie rechnogo stoka v bassejne reki Lena na osnove gidrologicheski-korrektnoj tsifrovoj modeli rel'efa // Problemy informatiki. 2020. N 4 (49). P. 71–88.
2. Krylova A.I., Lapteva N.A. Model' marshrutizatsii rechnogo stoka v kontinental'nom masshtabe s peremennoj skorost'yu potoka // Interekspo Geo-Sibir'. 2022. V. 4. P. 102–108.
3. Kuzin V.I., Lapteva N.A. Matematicheskoe modelirovanie klimaticheskogo rechnogo stoka iz Ob'-Irtyshskogo bassejna // Optika atmosf. i okeana. 2012. V. 25, N 6. P. 539–543; Kuzin V.I., Lapteva N.A. Mathematical simulation of climatic river discharge from the Ob-Irtysh Basin // Atmos. Ocean. Opt. 2012. V. 25, N 6. P. 440–445.
4. Arora V.K., Chiew H.S., Grayson R.B. A river flow routing scheme for general circulation models // J. Geophys. Res. 1999. V. 104, N D24. P. 30965–30979.
5. Schulze K., Hunger M., Döll P. Simulating river flow velocity on global scale // Adv. Geosci. 2005. N 5. P. 133–136.
6. Нgо-Duk T., Oki T., Kanae S. A variable streamflow velocity method for global river routing model: Model description and preliminary results // HESSD. 2007. V. 4, N 6. P. 4389–4414.
7. Yang D., Liu B., Ye B. Stream temperature changes over Lena River Basin in Siberia // Geophys. Res. Lett. 2005. V. 32. DOI: 10.1029/2004GL021568.
8. Liu B., Yang D. Siberian Lena River heat flow regime and change // Cold Region Hydrology in a Changing Climate. Proceedings of symposium HО2 held during IUGG2011 in Melbourne, Australia, July 2011 (IAHS Publ. 2011). P. 71–76.
9. Magritskij D.V. Teplovoj stok rek v morya rossijskoj Arktiki i ego izmeneniya // Vestn. Mosk. un-ta. Iss. 5. Geografiya. 2009. N 5. P. 69–77.
10. Dingman S.L., Sharma K.P. Statistical development and validation of discharge equations for natural channels // J. Hydrol. 1997. V. 1, N 199. P. 13–35.
11. Nash J.E., Sutcliff J.V. River flow forecasting through conceptual models. Part 1 – A discussion of principles // J. Hydrology. 1970. V. 10, N 3. P. 282–290.
12. Fofonova V., Sander L., Papenmeier S., Michaelis R., Wiltshire K.H., Zhilyaev I., Kraineva M., Iakshina D., Tananaev N., Volkova N. Features of the water temperature long-term observations on the Lena River at basin outlet // Polarforschung. 2017. V. 87, N 2. P. 135–150.
13. Lammers R.B., Pundsack J.W., Shiklomanov A.I. Variability in river temperature, discharge, and energy flux from the Russian pan-Arctic landmass // J. Geophys. Res. 2007. V. 112. P. G04S59.