Method of Detecting the Long-Wave Structure of Sea Currents, Measured Only in One Point
It is shown within the framework of the semi-spectral linear model of wind-driven currents, that if temporal changes of the level inclination are mainly of a reverse character, that takes place in case of long-wave structure of gradient currents, then the similarity of their spectral tensors (the spectral tensor similarity criterion) does not depend on the level and bottom inclinations and is determined only in depth, by a vertical coordinate, viscosity, the angular frequency and the Coriolis parameter. This criterion will allow to investigate the harmonic (or wave) and the turbulent nature of sea currents, taking into account the diversity of their scales, polycyclicity, as well as other features of the development of both known and unknown factors generating them with the observations made only at one point. It can be used primarily for the reanimation of measurements of shelf currents in terms of detection, such as the development of its waveguide properties, since, in spite of a fairly significant amount of them, because of spatial-temporal discontinuity, is not enough for the use of traditional approaches. The hydrodynamic model and a brief comparative analysis of vector-algebraic method and the method of rotational components used in the spectral analysis of vector time series are shown. The analysis of long-wave velocity structure of the sea currents on the Kerch shelf of the Black Sea obtained by the proposed approach are presented as an example.
Nikolay Grigorjevich Horolich1,*, Vladimir Nikolaevich Horolich2
It is shown within the framework of the semi-spectral linear model of wind-driven currents, that if temporal changes of the level inclination are mainly of a reverse character, that takes place in case of long-wave structure of gradient currents, then the similarity of their spectral tensors (the spectral tensor similarity criterion) does not depend on the level and bottom inclinations and is determined only in depth, by a vertical coordinate, viscosity, the angular frequency and the Coriolis parameter. This criterion will allow to investigate the harmonic (or wave) and the turbulent nature of sea currents, taking into account the diversity of their scales, polycyclicity, as well as other features of the development of both known and unknown factors generating them with the observations made only at one point. It can be used primarily for the reanimation of measurements of shelf currents in terms of detection, such as the development of its waveguide properties, since, in spite of a fairly significant amount of them, because of spatial-temporal discontinuity, is not enough for the use of traditional approaches. The hydrodynamic model and a brief comparative analysis of vector-algebraic method and the method of rotational components used in the spectral analysis of vector time series are shown. The analysis of long-wave velocity structure of the sea currents on the Kerch shelf of the Black Sea obtained by the proposed approach are presented as an example.
___
Altman, E.N. 1991. Dynamics of waters of the Kerch Strait. In: F.S. Terziev (Executive ed.), Hydrometeorology and hydrochemistry of the seas of the USSR. Hydrometeorological conditions, Black Sea,Gidrometeoizdat, St Petersburg: 291-323Belishev, A.P., Klevantsov, J.P. and Rogkov, V.A. 1983. The Probability Analysis of Sea Currents. Gidrometeoizdat, Leningrad, 263 pp.
Blatov, A.C., Bulgakov, N.P., Ivanov, V.A., Kosarev, A.N. and Tugilkin, V.S. 1984. Variability of Hydrophysical Fields of the Black Sea. Gidrometeoizdat, Leningrad, 231 pp.
Blatov, A.C. and Ivanov, V.A. 1992. Hydrology and Hydrodynamics of a Shelf Zone of the Black Sea. Naukova Dumka, Kiev, 234 pp.
Brink, K.H. 1991. Coastal-Trapped Waves and Wind- Driven Currents over the Continental Shelf. Annu. Rev. Fluid Mech., 223: 380-412.
Calman, J. 1978. On the interpretation of ocean current spectra. J. Phys. Oceanogr., 8: 627-652.
Ekman, V.W. 1905. On the influence of the Earth's rotation on ocean currents. Arkiv Mat., Astron., Phys, 2: 11- 53.
Felzenbaum, A.I. 1966. To the theory of periodic currents. Problems of the theory of oceanic currents, Naukova Dumka, Kiev: 5-23.
Fofonoff, N.P. 1969. Spectral characteristics of internal waves in the ocean. Deep-Sea Res., 16: 59-71.
Gill, A.E. and Schumann, E.H. 1974. The generation of long shelf waves by the wind. J. Phys. Oceanogr., 24: 83-90.
Godin, G., Candela, J. and Delapaz-Vela, R. 1981. An analysis and interpretation of current data collected in the Strait of Juan de Fuca in 1973. Mar. Geod., 5: 273-302.
Godin, G. 1983. The Spectra of Point Measurements of Currents: Their Features and Their Interpretation. Atmos-Ocean, 21: 263-284.
Gonella, J.A. 1972. A rotary-component method for analyzing meteorological and oceanographic vector time series. Deep-Sea Res., 19: 833-846.
Hamon, B.V. 1962. The spectrums of mean sea level at Sydney, Coff's Harboor, and Lord Howe Islands. J. Geophys. Res., 67: 5147-5155 (Correction, 1963, J. Geophys. Res., 71: 4635).
Hamon, B.V. 1966. Continental Shelf Waves and the Effects of Atmospheric Pressure and Wind Stress on Sea Level. J. Geophys. Res., 71: 2883-2893.
Horolich, N.G. 1984. Theoretical model for calculation of time spectra of currents velocity in the homogeneous sea of finite depth. SO GOIN, Sevastopol, 38 pp.
Horolich, N.G. 1984. Spatial-temporal spectral model for calculation of mesoscale currents on a shelf with one- dimensional topography of a bottom. SO GOIN, Sevastopol, 45 pp.
Horolich, N.G. 1987. Theoretical model for calculation of time spectra of currents velocity in the homogeneous sea taking into account a horizontal friction. SO GOIN, Sevastopol, 21 pp.
Horolich, N.G. 1987. About calculation of spatial-temporal spectra of currents velocity of wind currents on a shelf taking into account a friction. SO GOIN, Sevastopol, 31 pp.
Horolich, N.G. 1991. Modeling of temporary spectra of currents velocity. In: F.S. Terziev (Executive ed.), Hydrometeorology and hydrochemistry of the seas of the USSR. Hydrometeorological conditions, Black Sea, Gidrometeoizdat, St Petersburg: 262-266.
Horolich, N.G., Fomin, V.V. and Horolich, V.N. 2008. About similarity of gradient velocity spectral tensors of wind currents on a shelf. Morskoj Gidrofizicheskij Jurnal, NAN Ukraine, 5: 67-80.
Horolich, N.G., Lomakin, P.D. and Horolich, V.N. 2009. Bispectra of the basic invariants of the spectral tensor of the currents velocity near the Caucasian Black Sea coast. In: V.N. Eremeev (Ed.), Environment control systems: means, models, monitoring, Morskoj Gidrofizicheskij Institut, NAN Ukraini, Sevastopol: 256-265.
Horolich, N.G. and Horolich, V.N. 2011. Method of Detecting the Long-Wavelength Structure of Shelf Currents according to Observations on a Separate Horizon. Thesis, 3rd Bi-annual BS Scientific Conference and UP-GRADE BS-SCENE Project Joint Conference, 1-4 November, Odessa, Ukraine: 86-87.
Horolich, N.G. and Horolich, V.N. 2011. Method of detecting the long-wavelength structure of shelf currents according to observations on a separate horizon. http: // 81.8.63.74/Downloads/ 3BSCConf/ Posters/HorolichNG.pdf.
Hsieh, W.W. 1982. On the Detection of Continental Shelf Waves. J. Phys. Oceanogr., 5: 414-427.
Ivanov, V.A. and Jankovsky, A.E. 1992. Long-wave movements in the Black Sea. Naukova Dumka, Kiev, 106 pp.
Ivanov, V.A. 1996. Mesoscale fluid dynamics in the southern Gidrofizicheskij Institut, NAN Ukraine, Sevastopol, 312 pp. views. Morskoj
LeBlond, P.H. and Mysak, L.A. 1978. Waves in the Ocean. Elsevier, New York, 602 pp.
LeBlond, P.H. and Mysak, L.A. 1981. Waves in the Ocean, Mir, Moscow, 480 pp.
Mikhajlova, E.N. 1968. About one way of the accounting of a horizontal exchange of quantity of movement in the theory of the established currents. In: A.G. Kolesnikov (Ed.), Problems of the theory of wind and thermohaline Sevastopol: 137-144. MGI, AN UkrSSR,
Mooers, C.N.K. 1973. A technique for the cross spectrum analysis of pairs of complex-valued time series, with emphasis on properties of polarized components and rotational invariants. Deep-Sea Res., 20: 1129-1141.
Mysak, L.A. 1980. Recent Advances in Shelf Wave Dynamics. Rev. Geophys. and Space Phys., 18: 211- 241.
- ISSN: 1303-2712
- Başlangıç: 2015
- Yayıncı: Su Ürünleri Merkez Araştırma Enstitüsü - Trabzon
Sayıdaki Diğer Makaleler
Assessment of Food Supply of Small Pelagic Fish in the Black Sea Based on Their Lipid Content
Victor N. NIKOLSKY, SHULMAN Georgiy, Tatjana YUNEVA, Levent BAT, Yalçın KAYA, AHMET ERKAN KIDEYŞ, Kadir SEYHAN, Alla SHCHEPKINA
Galina Antonovna KOLYUCHKİNA, Nikolay Aleksandrovich BELYAEV, Vassily Albertovich SPİRİDONOV, U.V. SİMAKOVA
Süleyman ÖZDEMİR, Yakup ERDEM, Ercan ERDEM
Mathematical Modeling of Oil Pollution Dissemination in River and Sea Waters of the Western Georgia
N.A. BEGALİSHVİLİ, T. TSİNTSADZE, N.N. BEGALİSHVİLİ, N. TSİNTSADZE
Way of Creating a New Marine Site of Nature Reserve Fund of Ukraine - "Small Phyllophora Field"
Eduard KOSTYLEV, Feodor TKACHENKO, Irina TRETİAK
Had Been Observing the Acidification of the Black Sea Upper Layer in XX Century?
Black Sea Dinoflagellata (History of the Research and Current Biodiversity)
A. KRAKHMALNY, Yu. BRYANTSEVA, V. VELİKOVA, O. SERGEEVA, K. SKURATOVA, N. DEREZİUK
Yuri TOKAREV, Olga MASHUKOVA, Elena SİBİRTSOVA
Modeling of Wind Waves in the Bays of South-West Part of the Crimea Peninsula
Vladimir Vladimirovich FOMİN, Dmitriy Vladimirovich ALEKSEEV, Elena Vasil'evna IVANCHA