Geosistemy perehodnykh zon = Geosystems of Transition Zones / Ãåîñèñòåìû ïåðåõîäíûõ çîí
Content is available under the Creative Commons Attribution 4.0 International License (CC BY 4.0)

2023, vol. 7, no. 2, pp. 160–174

URL: http://journal.imgg.ru/archive.html, https://elibrary.ru/title_about.asp?id=64191, https://doi.org/10.30730/gtrz.2023.7.2.160-174, https://www.elibrary.ru/evpvwr


Long waves on the shelf of the southwest coast of Sakhalin Island
*Dmitry P. Kovalev, https://orcid.org/0000-0002-5184-2350, d.kovalev@imgg.ru
Peter D. Kovalev, https://orcid.org/0000-0002-7509-4107, p.kovalev@imgg.ru
Vitalij S. Zarochintsev, https://orcid.org/0000-0002-4015-9441, zarochintsev@imgg.ru
Konstantin V. Kirillov, https://orcid.org/0000-0002-0822-3060, k.kirillov@imgg.ru
Institute of Marine Geology and Geophysics of the Far Eastern Branch of RAS, Yuzhno-Sakhalinsk, Russia
Abstract PDF ENG Ðåçþìå PDF RUS Full text PDF RUS

Abstract. The results of the study of long-wave motions with periods of more than 20 hours on the shelf of the southwest coast of Sakhalin Island using the time series of sea level fluctuations obtained in full-scale experiments with a discreteness of 1 s and a duration of 4 to 6 months are considered. Spectral analysis of the time series of sea level fluctuations for the period range from 8 to 200 hours revealed the presence of long-wave processes with periods from 26.1 to 46.7 hours, which significantly exceed the inertial period of 16.48 hours. Numerical modeling of shelf waves for exponentially convex profiles of the seabed, carried out using the dispersion relation of V.T. Buchwald and J. K. Adams for waves of the continental shelf, showed that the detected wave processes with periods from 31.2 h to 46.7 h are shelf waves. Their amplitudes increase during storms. The possibility of energy transferring from atmospheric disturbances to shelf waves, which contribute to the formation of sea level, is shown, that confirms the earlier made assumption. Using the calculation of the phase difference of the observed shelf waves at a distance of 12.4 km between Nevelsk and Gornazovodsk and determined by means of the theoretical model, it is shown that the second mode of the shelf wave with a frequency of 0.152 cycle/h is close to the theoretical one. It is shown for the wave with a period of 26.1 h recorded in Ilyinsky and Gornozavodsk for the distance between the points of 173.6 km, that this wave cannot be a shelf wave, but it is a Kelvin wave. This is confirmed by the calculated dispersion diagram, according to which the wavelength of about 689 km corresponds well to the phase difference for the distance Ilyinsky – Gornozavodsk. It is found that shelf waves, one of the generation mechanisms of which is the wind tension along the coast, have the different amplitudes in summer and winter, that is due to the seasonal direction of the offshore wind. In summer, the directions of shelf wave propagation and wind are opposite, which weakens the shelf waves.


Keywords:
long and shelf waves, Kelvin wave, spectral analysis, modeling, dispersion diagram

For citation: Kovalev D.P., Kovalev P.D., Zarochintsev V.S., Kirillov K.V. Long waves on the shelf of the southwest coast of Sakhalin Island. Geosistemy perehodnykh zon = Geosystems of Transition Zones, 2023, vol. 7, no. 2, p. 160–174. (In Russ., abstr. in Engl.).
https://doi.org/10.30730/gtrz.2023.7.2.160-174, https://www.elibrary.ru/evpvwr


References

1. Hamon B.V. 1962. The spectrum of mean sea level at Sydney, Coff’s Harbour, and Lord Howe Island. Journal of Geophysical Research, 67: 5147–5155. https://doi.org/10.1029/jz067i013p05147

2. Efimov V.V., Kulikov E.A., Rabinovich A.B., Fine I.V. 1985. [Waves in the boundary regions of the ocean]. Leningrad: Hydrometeoizdat, 280 p. (In Russ.).

3. Mysak L.A. 1980. Recent advances in shelf wave dynamics. Reviews of Geophysics, 18(1): 211–241. https://doi.org/10.1029/rg018i001p00211

4. LeBlond P.H., Mysak L.A. 1981. Waves in the Ocean. Amsterdam: Elsevier, 602 p. (Elsevier Oceanography Series; 20).

5. Buchwald V.T., Adams J.K. 1968. The propagation of continental shelf waves. Proceedings of the Royal Society of London. Series A, 305(1481): 235–250.

6. Brink K.H. 1991. Coastal-trapped waves and wind-driven currents over the continental shelf. Annual Review of Fluid Mechanics, 23(1): 389–412. https://doi.org/10.1146/annurev.fl.23.010191.002133

7. Brunner K., Rivas D., Lwiza K.M.M. 2019. Application of classical coastal trapped wave theory to high-scattering regions. Journal of Physical Oceanography, 49(9): 2201–2216. https://doi.org/10.1175/jpo-d-18-0112.1

8. Huthnance J. 1975. On trapped waves over a continental shelf. Journal of Fluid Mechanics, 69: 689–704. https://doi.org/10.1017/s0022112075001632

9. Longuet-Higgins M. 1965. Some dynamical aspects of ocean currents. Quarterly J. of the Royal Meteorological Society, 91(390): 425–451. https://doi.org/10.1002/qj.49709139005

10. Cartwright D. 1969. Extraordinary tidal currents near St Kilda. Nature, 223: 928–932. https://doi.org/10.1038/223928a0

11. Cutchin D.L., Smith R.L. 1973. Continental shelf waves: low frequency variations in sea leve1 and currents over Oregon continental she1f. Journal of Physical Oceanography, 3(3): 73–82. https://doi.org/10.1175/1520-0485(1973)003<0073:cswlfv>2.0.co;2

12. Rabinovich A.B. 1984. [Topographic vortices in the area of the Kuril-Kamchatka trench]. Dokl. USSR Academy of Sciences, 277(4): 976–979. (In Russ.).

13. Gill A.E., Schumann E.H. 1974. The generation of long shelf waves by the wind. Journal of Physical Oceanography, 4: 83–90. https://doi.org/10.1175/1520-0485(1974)004<0083:tgolsw>2.0.co;2

14. Gill A.E., Clarke A.J. 1974. Wind-induced upwelling, coastal currents and sea-level changes. Deep Sea Research and Oceanographic Abstracts, 21: 325–345. https://doi.org/10.1016/0011-7471(74)90038-2

15. Clarke A.J. 1977. Observational and numerical evidence for wind-forced coastal trapped long waves. Journal of Physical Oceanography, 7: 231–247. https://doi.org/10.1175/1520-0485(1977)007<0231:OANEFW>2.0.CO;2

16. Brink K.H. 1982. The effect of bottom friction on low-frequency coastal trapped waves. Journal of Physical Oceanography, 12: 127–133. https://doi.org/10.1175/1520-0485(1982)012<0127:TEOBFO>2.0.CO;2

17. Thomson W. (Lord Kelvin). 1979. On gravitational oscillations of rotating water. Proceedings of the Royal Society of Edinburgh. Section A: Mathematical and Physical Sciences, 10(1880): 92–100. https://doi.org/10.1017/S0370164600043467

18. Platzman G.W. 1971. Ocean tides and related waves. In: Mathematical problems in the geophysical sciences, p. 239–291. (Lectures in Applied Mathematics; 14).

19. Nekrasov A.V. 1975. [ Tidal waves in marginal seas ]. Leningrad: Hydrometeoizdat, 247 p. (In Russ.).

20. Marchuk G.I., Kagan B.A. 1983. [ Dynamics of ocean tides ]. Leningrad: Hydrometeoizdat, 359 p. (In Russ.).

21. Rabinovich À.B. 1993. Long gravitational waves in the ocean: capture, resonance, radiation. Leningrad: Hydrometeoizdat, 325 p. (In Russ.).

22. Plekhanov Ph.A., Kovalev D.P. 2016. The complex program of processing and analysis of time-series data of sea level on the basis of author's algorithms. Geoinformatika, 1: 44–53. (In Russ.). EDN: VQZVLF

23. Kovalev D.P. 2018. Kyma: patent RU 2018618773, no. 2018612587, application 20.03.2018; publ. 19.07.2018. (In Russ.).

24. Parker B.B. 2007. Tidal analysis and prediction. Maryland: Silver Spring, 378 p. (NOAA Special Publication NOS CO-OPS 3). URI: http://hdl.handle.net/11329/632; http://dx.doi.org/10.25607/OBP-191

25. Tskhai J.R. 2017. [ Spatial and temporal variability of chlorophyll-a concentration in the surface layer of the Sea of Okhotsk and adjacent water areas according to satellite data ]: Thesis for a Cand. Degree (Geogr.). Yuzhno-Sakhalinsk, 157 p. (In Russ.).

26. Squire V.A., Kovalev D.P., Kovalev P.D., Medvedev I.P., Kulikov M.E. 2021. A cornucopia of oscillations on the Laptev Sea shelf. Continental Shelf Research, 227: 104514. doi:10.1016/j.csr.2021.104514

27. Gill A.E. 1982. Atmosphere-Ocean Dynamics. London: Academic Press, 662 p. (International Geophysics Series; 30).

28. Drivdal M., Weber J.E.H., Debernard J.B. 2016. Dispersion relation for continental shelf waves when the shallow shelf part has an arbitrary width: application to the shelf west of Norway. Journal of Physical Oceanography, 46(2): 537–549. doi:10.1175/JPO-D-15-0023.1

29. Darelius E., Smedsrud L.H., Osterhus S., Foldvik A., Gammelsrod T. 2009. Structure and variability of the Filchner overflow plume. Tellus, 61A: 446–464. doi:10.1111/j.1600-0870.2009.00391.x

30. Hamon B.V. 1966. Continental shelf waves and the effects of atmospheric pressure and wind stress on sea level. Journal of Geophysical Research, 71(12): 2883–2893. doi:10.1029/JZ071i012p02883

31. Caldwell D.R., Cutchin D.L., Longuet-Higgins M.S. 1972. Some model experiments on continental shelf waves. Journal of Marine Research, 30: 39–55.

32. Munk W., Snodgrass F., Wimbush M. 1970. Tides off-shore: Transition from California coastal to deep-sea waters. Geophysical and Astrophysical Fluid Dynamics, 1(1-2): 161–235.

33. Robinson A. R. 1964. Continental shelf waves and the response of the sea level to weather systems. Journal of Geophysical Research, 69: 367–368.

34. Kovalev P.D., Kovalev D.P., Shevchenko G.V. 2015. [ Renewable energy resources of the Sakhalin region ]. Vladivostok: Dalnauka, 216 p. (In Russ.).