Application of a Сhannel Model for Describing Propagation of Tsunami-Like Single Waves in a Channel with Variable Cross-Section

A.Yu. Bazykina, S.F. Dotsenko^✉

Marine Hydrophysical Institute, Russian Academy of Sciences, Sevastopol, Russian Federation

^✉ e-mail: sf_dotsenko@mail.ru

Abstract

Being seismically active, the Bosporus area is always under the possibility of tremors. The earthquake with a magnitude of more than 5, which caused a tsunami wave, has already been observed in this region. Therefore, there is a need to study the amplitude characteristics of the waves as they propagate in the strait. Channel model of surface long waves is used to describe propagation of single linear waves in the channel of variable cross-section simulating the Bosporus. Numerical analysis is done both for the maximum height and wave velocity of the waves propagating from the Sea of Marmara to the Black Sea and vice versa, and for the case of evolution of the initial fluid displacement at its various location in the strait. Growth of a wave height and velocity is correlated with decrease of the strait width and its cross-sections’ areas. When the waves propagate from the Black Sea to the Marmara their intensification is more significant than that at their movement in the opposite direction. Wave speed can be comparable or even exceed the value of the velocity of the background flow in the Bosporus. In the case when the waves propagate from the tsunami generation zone in the strait middle part, the highest rises of the fluid free surface do not exceed the absolute value of the sea surface initial displacement.

Keywords

tsunami waves, the Bosporus Strait, channel theory of long waves, numerical solutions, wave propagation in a strait, wave intensification

For citation

Bazykina, A.Yu. and Dotsenko, S.F., 2015. Application of a Сhannel Model for Describing Propagation of Tsunami-Like Single Waves in a Channel with Variable Cross-Section. Physical Oceanography, (1), pp. 27-38. doi:10.22449/1573-160X-2015-1-27-38

DOI

10.22449/1573-160X-2015-1-27-38

References

1. Kalafat, D., 2003, “B.U. Kandilli Observatory and Earthquake Research Institute seismology laboratory”, CSEM EMSC, Newsletter, no. 19, pp. 5-7.
2. Shnyukov, E.F., Mitin, L.I. & Tsemko, V.P., 1994, “Katastrofy v Chernom more [Catastrophes in the Black Sea]”, Kiev, Manuskript, 296 p. (in Russian).
3. Lamb, G. 1947, “Gidrodinamika [Hydrodynamics]”, Moscow, Leningrad, Gostekhizdat, 928 p. (in Russian).
4. Kochin, N.E, Kibel, I.A. & Rose, N.V., 1963, “Teoreticheskaya gidromekhanika [Theoretical Fluid Mechanics]”, part 1, Moscow, Fizmatgiz, 584 p. (in Russian).
5. Shuleikin, V.V., 1968, “Fizika morya [Physics of the sea]”, Moscow, Nauka, 1083 p. (in Russian).
6. Rzhonsnitsky, V.B., 1979, “Prilivnye dvizheniya [Tidal movements]”, Leningrad, Gidrometeoizdat, 244 p. (in Russian).
7. Cherkesov, L.V., 1973, “Poverkhnostnye i vnutrennie volny [Surface and Internal Waves]”, Kiev, Naukova Dumka, 247 p. (in Russian).
8. Stoker, J. 1959, “Volny na vode [Water waves]”, Moscow, Inostrannaya literatura, 618 p. (in Russian).
9. Defant, A., 1961, “Physical oceanography”, Pergamon Press, vol. 1, 745 p.
10. Lemmin, U., Mortimer, C.H., 1986, “Tests of an extension to internal seiches of Defant’s procedure for determination of surface seiche characteristics in real lakes”, Limnol. Oceanogr., vol. 31, no. 6, p. 1207-1231.
11. Voltsinger, N.E., Pyaskovsky, R.V., 1968, “Osnovnye okeanologicheskie zadachi teorii melkoy vody [Basic oceanographic problems in the theory of shallow water]”, Leningrad, Gidrometeoizdat, 300 p. (in Russian).
12. Dotsenko, S.F., Rakova, I.N., 2012, “Rasprostranenie dlinnykh poverkhnostnykh voln v kanalakh peremennogo poperechnogo secheniya [The propagation of long surface waves in channels of variable cross-section]”, Morskoy gidrofizicheskiy zhurnal, no. 2, p. 3-17 (in Russian).
13. Didenkulova, I.I., Pelinovsky, D.E. & Tyugin, D.Y. [et al.], 2012, “Begushchie dlinnye volny v vodnykh pryamougol'nykh kanalakh peremennogo secheniya [The running long waves in the water rectangular channels of variable section]”, Vestnik MGOU, no. 5, p. 89-93 (in Russian).
14. Hébert, H., Schindelé, F. & Altinok, Y. [et al.], 2005, “Tsunami hazard in the Marmara Sea (Turkey): numerical approach to discuss active faulting and impact on the Istanbul coastal areas”, Marine Geology, vol. 215, no. 1, p. 23-43.
15. Dotsenko, S.F., Ingerov, A.V. 2007, “Kharakteristiki chernomorskikh tsunami po dannym izmereniy [Characteristics of tsunami waves in the Black Sea according to the data of measurements]”, Morskoy gidrofizicheskiy zhurnal, no. 1, p. 21-31 (in Russian).

Download the article (PDF)