Analysis of Variance of the Black Sea Level Oscillations in a Wide Range of Frequencies
I. P. Medvedev
Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, , Russian Federation
Fedorov Institute of Applied Geophysics, Moscow, Russian Federation
e-mail: patamates@gmail.com
Abstract
Based on the long-term observations in the Black Sea, the features of spatial distribution of the sea level oscillations’ variance in five different frequency ranges were studied. The series of the hourly sea level observations carried out at 23 coastal tide gauges were used to analyze mesoscale and synoptic variability. To assess seasonal and inter-annual sea level variability, long-term monthly average level values obtained at the stations of Varna, Ust-Dunaisk, Odessa, Sevastopol, Tuapse, Poti, and Batumi were used. The hourly observations permitted to calculate the sea level spectra for the periods 2 hours – 70 days, and the monthly average sea level values – the spectra for the periods 70 days – 10 years. Formation of the Black Sea level oscillations’ spectrum was analyzed in a wide frequency range. For each of five chosen ranges of frequency variability, its contribution to the total energy of non-tidal sea level variations was quantitatively assessed. Variance of inter-annual sea level oscillations in the Black Sea is relatively homogenous and is within 28 to 37 cm2. The range of seasonal sea level oscillations is wider: 16–37 cm2. The intra-annual sea level oscillations differ significantly depending on the region: the smallest values are recorded in Sevastopol – 20 cm2, the largest ones – in Poti and Kasperovka – up to 35 cm2. In general, synoptic and mesoscale sea level oscillations testify to substantial inhomogeneity in the variance distribution over the water area. The highest values resulting from the surface wind effect are observed in the shallow northwestern part of the Black Sea. At the stations of the Caucasian coast of the Black Sea (Tuapse, Poti, Batumi) and near the Crimean coast (Sevastopol), variance of the seasonal and intra-annual sea level oscillations exceeds that of the synoptic ones by about 1.5–2 times, whereas in the Black Sea northwestern part, the greatest contribution to the total sea level variance is made by the synoptic component.
Keywords
sea level oscillations, Black Sea, synoptic variability, spectrum, dispersion, energy
Acknowledgements
The study is carried out within the framework of the state task of FASO, Russia on the theme No. 0149-2018-0015 “Tectonics of the deformed lithosphere plates and geodynamic evolution of the ocean lithosphere: geodynamic evolution of the Arctic and the transition zone from the Pacific Ocean to Eurasia; development of catastrophic and potentially dangerous processes in the subduction zones, marginal and internal seas, and coastal zone, analysis of their geo-ecological consequences; assessment and genesis of minerals of the continental remote areas and intra-oceanic regions, marginal and internal seas” and at financial support of the RFBR grant No. 16-35-60071 “Study of the mechanism of the level oscillation formation in the Baltic, Black and Caspian seas in the period ranges from hours to years based on the data of coastal and satellite observations, as well as numerical modeling”.
Original russian text
Original Russian Text © I. P. Medvedev, 2018, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 34, Iss. 6, pp. 489–500 (2018)
For citation
Medvedev, I. P., 2018. Analysis of Variance Analysis of the Black Sea Level Oscillations in a Wide Range of Frequencies. Physical Oceanography, 25(6), pp. 448-458. doi:10.22449/1573-160X-2018-6-448-458
DOI
10.22449/1573-160X-2018-6-448-458
References
- Defant, A., 1961. Physical Oceanography, Vol. 2. New York: Pergamon Press, 598 p.
- Medvedev, I.P., Rabinovich, A.B. and Kulikov, E.A., 2016. Tides in Three Enclosed Basins: the Baltic, Black, and Caspian Seas. Frontiers in Marine Science, 3, Article 46. 7 p. https://doi.org/10.3389/fmars.2016.00046
- Medvedev, I.P., 2018. Tides in the Black Sea: Observations and Numerical Modelling. Pure and Applied Geophysics, 175(6), pp. 1951–1969. https://doi.org/10.1007/s00024-018-1878-x
- German, V.Kh. and Levikov S.P., 1988. Veroyatnostniy Analiz i Modelirovaniye Kolebaniy Urovnya Morya [Probabilistic Analysis and Modeling of the Sea Level Oscillations]. Leningrad: Gidrometeoizdat, 231 p. (in Russian).
- Wunsch, C., 1972. Bermuda Sea Level in Relation to Tides, Weather, and Baroclinic Fluctuations. Reviews of Geophysics, 10(1), pp. 1-49. https://doi.org/10.1029/RG010i001p00001
- Medvedev, I.P., 2015. Formation of the Baltic Sea Level Spectrum. Doklady Earth Sciences, 463(1), pp. 760-764. https://doi.org/10.1134/S1028334X1507020X
- Ivanov, V.A. and Yastreb, V.P., 1989. Fluctuations of the Black Sea Level. Water Resources, 16(2), pp. 173-179.
- Medvedev, I.P. and Kulikov, E.A., 2016. Spectrum of Mesoscale Sea Level Oscillations in the Northern Black Sea: Tides, Seiches, and Inertial Oscillations. Oceanology, 56(1), pp. 6-13. https://doi.org/10.1134/S0001437016010094
- Monin, A.S., Kamenkovich, V.M. and Kort, V.G., 1974. Izmenchivost' Mirovogo Okeana [Variability of the World Ocean]. Leningrad: Gidrometeoizdat, 261 p. (in Russian).
- Fomicheva, L.A., Rabinovich, A.B. and Demidov, A.N., 1991. Tsunami v Chernom More [Tsunami in the Black Sea]. In: Gidrometeorologiya i Gidrokhimiya Morey SSSR. Vol. 4. Chernoe More, Issue 1. Gidrometeorologicheskie Issledovaniya [Hydrometeorology and Hydrochemistry of the USSR Seas. Vol. IV. The Black Sea. Issue 1. Hydrometeorological Studies]. Saint Petersburg: Gidrometeoizdat, pp. 329-354 (in Russian).
- Goryachkin, Yu.N. and Ivanov, V.A., 2006. Uroven Chernogo Morya: Proshloe, Nastoyaschee i Buduschee [Level of the Black Sea: Past, Present and Future]. Sevastopol: ECOSI Gidrofizika, 210 p. (in Russian).
- Arkhipkin, V.S. and Berezhnoi, V.Yu., 1996. Steric Oscillations of the Black Sea Level. Oceanology, 35(6), pp. 735-741. Available at: https://istina.msu.ru/download/1088528/1gjl9l:TyhnUK7E1BvvJ9kJm1RunHcQoT4/ [Accessed: 14.10.2018].
- Volkov, D.L. and Landerer, F.W., 2015. Internal and External Forcing of Sea Level Variability in the Black Sea. Climate Dynamics, 45(9-10), pp. 2633-2646. https://doi.org/10.1007/s00382-015-2498-0
- Volkov, D.L., Johns, W.E. and Belonenko, T.V., 2016. Dynamic Response of the Black Sea Elevation to Intraseasonal Fluctuations of the Mediterranean Sea Level. Geophysical Research Letters, 43(1), pp. 283-290. https://doi.org/10.1002/2015GL066876
- Harrison, C.G.A., 2002. Power Spectrum of Sea Level Change over Fifteen Decades of Frequency. Geochemistry, Geophysics, Geosystems, 3(8), pp. 1-17. https://doi.org/10.1029/2002GC000300
- Efimov, V.V., Kulikov, E.A., Rabinovich, A.B. and Fine, I.V., 1985. Volny v Pogranichnykh Oblastyakh Okeana [Ocean Boundary Waves]. Leningrad: Gidrometeoizdat, 280 p. (in Russian).
- Blatov, A.S., Bulgakov, N.P., Ivanov, V.A., Kosarev, A.N. and Tuzhilkin, V.S., 1984. Izmenchivost' Gidrofizicheskikh Poley Chernogo Morya [Variability of the Hydrophysical Fields of the Black Sea]. Leningrad: Gidrometeoizdat, 239 p. (in Russian).
- Ivanov, V.A. and Belokopytov, V.N., 2011. Oceanography of the Black Sea. Sevastopol: MHI NANU, 212 p. Available at: https://www.researchgate.net/publication/236853664_Ivanov_VA_Belokopytov_VN_Oceanography_of_the_Black_Sea_National_Academy_of_Sciences_of_Ukraine_Marine_Hydrophysical_Institute_Sevastopol_210_p/download [Accessed: 15.10.2018].
- Pugh, D. and Woodworth P., 2014. Sea-Level Science: Understanding Tides, Surges, Tsunamis and Mean Sea-Level Changes. Cambridge: Cambridge University Press, 409 p. https://doi.org/10.1017/CBO9781139235778