Forecast of Circulation Processes and Propagation of Oil Pollution in the Eastern Black Sea Based on the Regional Complex Model

N. A. Diansky1, 2, 3, ✉, V. V. Fomin2, A. V. Grigoriev2, 4, A. V. Chaplygin1, A. G. Zatsepin4, 5

1 Lomonosov Moscow State University, Moscow, Russian Federation

2 Zubov State Oceanographic Institute, Moscow, Russian Federation

3 Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russian Federation

4 Moscow Institute of Physics and Technology (national research university), Dolgoprudny, Russian Federation

5 Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russian Federation

✉ e-mail: nikolay.diansky@gmail.com

Abstract

Introduction. Analysis of numerical simulation of the inertial oscillations evolution in a storm period in the northeastern Black Sea is represented in comparison with the observations and the analytical solutions. The simulations confirm significant contribution of the inertial motions to formation of the velocity fields. It is shown that inertial oscillations do not affect the sea level changes and their character depends on vertical structure of the sea upper mixed layer.

Data and methods. Comparison the simulation results to the drift observations in the Black Sea were represented. It is noted that intensity of inertial oscillations in the deep-sea areas significantly exceeds the one in the shallow areas. At that, contribution of the inertial currents to the Black Sea general circulation in the deep-sea zone is comparable to that of the mesoscale motions. Analytical solution of the inertial oscillations’ equation system (taking into account wind and its absence) was studied.

Results. Inertial oscillations are excited in the velocity module due to an abrupt change of the wind speed. Moreover, harmonic oscillations are disturbed with depth. After the wind affect is over, the current velocity is barotropized due to fast transition from a quasi-stationary state to another one. It is shown that inertial oscillations are of two time scales conditioned by vertical viscosity.

Discussion and Conclusions. The first, short time scale is responsible for rapid formation of a new quasi-stationary state. It does not depend on the viscosity coefficient and is approximately equal to two inertial periods. The other, longer scale of the inertial oscillations attenuation, is associated with the energy drain of quasi-stationary oscillations from the upper layers of the sea to the deeper ones. This slow process of attenuation is proportional to the root of time.

Keywords

the Black Sea, inertial oscillations, Ekman theory, numerical simulation, upper mixed layer, analytical solution

Acknowledgements

The authors are thankful to Head Scientist Researcher of State Oceanographic Institute E. V. Borisov for his important remarks on the paper. The investigation is carried out at support of Russian Scientific Foundation (grant No. 17-77-30001) and RFBR-RGS (grant No. 17-05-41089).

Original russian text

Original Russian Text © The Authors, 2019, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 35, Iss. 2, pp. 147–159 (2019)

For citation

Diansky, N.A., Fomin, V.V., Grigoriev, A.V., Chaplygin, A.V. and Zatsepin, A.G., 2019. Spatial-Temporal Variability of Inertial Currents in the Northeastern Part of the Black Sea. Physical Oceanography, 26(2), pp. 135-146. doi:10.22449/1573-160X-2019-2-135-146

DOI

10.22449/1573-160X-2019-2-135-146

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