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45Modelling of Water Pollution Propagation in the Sevastopol Bay V. N. Belokopytov*, A. I. Kubryakov, S. F. Pryakhina
Marine Hydrophysical Institute, Russian Academy of Science, Sevastopol, Russian Federation *e-mail: v.belokopytov@gmail.com
Introduction. Tracking of spread of various contaminations and elaboration of the operational systems to control wrecking discharges are among the important tasks of marine environment monitoring. The processes of transport of the contaminating impurity inflowing from different sewers were modeled based on the diagnostic calculations of water circulation in the Sevastopol Bay. Data and Methods. The currents field was calculated using the sigma-coordinate version of the Princeton Ocean Model adapted for the regional conditions in the Sevastopol Bay. To calculate the polluting impurity transport, the model of the matter transfer and diffusion was incorporated into the circulation model. The data on the wind speed and direction obtained at the Sevastopol met office, the temperature, salinity and density climatic fields calculated using the information of 2.7 thousands hydrological stations in the Sevastopol Bay, average seasonal variations of the River Chernaya water discharge and the digital bottom relief with spatial resolution 68 m were used in the model. Analysis of Results. Numerical experiments on the contaminant propagation from the point of possible discharge in the Gollandiya Bay reveal that dependence of the pollutant movement trajectory (direction) upon the pattern of water circulation is most evident in the Yuzhnaya Bay and less manifested in the central part of the Sevastopol Bay. In case of a wrecking discharge in the River Chernaya mouth, a contaminant spot, regardless of wind conditions, moves to the northwest and reaches the Gollandiya Bay. Further evolution of the polluted water volume is similar to the process developing after a sewage discharge directly within the Gollandiya Bay.
Discussion and Conclusions. The carried out numerical calculations confirm operatioinal capability of the model and its adequate reproduction of the physical processes under study. It permits both to model the circulation seasonal variation and the thermohaline structure of the Sevastopol Bay waters, and to describe more accurately trajectories of the contaminants' spread.
Keywords: numerical model, diagnostic calculations, water pollution, Sevastopol Bay.
Acknowledgements: the investigation is carried out within the framework of the RFBR grant, project No 14-45-01028 "Modeling of circulation and processes of transport of pollutants in the Sevastopol Bay", and at support of the RFBR grant, project No 18-05-80028 "Dangerous phenomena".
For citation: Belokopytov, V.N., Kubryakov, A.I. and Pryakhina, S.F., 2019. Modelling of Water Pollution Propagation in the Sevastopol Bay. Physical Oceanography, [e-journal] 26(1), pp. 3-12. doi:10.22449/1573-160X-2019-1-3-12
DOI: 10.22449/1573-160X-2019-1-3-12
© 2019, V. N. Belokopytov, A. I. Kubryakov, S. F. Pryakhina © 2019, Physical Oceanography
Introduction
One of the most important tasks of the marine environment monitoring is to control the propagation of different contaminations and to develop the systems for rapid response to emergency discharges. The processes of transport and distribution of contaminants in marine basins are simulated using hydrodynamic models. They are based on nonlinear partial differential equations in partial derivatives that describe the hydrodynamics of a rotating fluid — the evolution of 3D-fields of currents, temperature, salinity, pressure and density. Modern general circulation models also provide the incorporation of various parameters of impurities in the PHYSICAL OCEANOGRAPHY VOL. 26 ISS. 1 (2019) 3
marine environment along with hydrodynamic characteristics. 3D equations, representing the dynamics of such parameters, have a form of transport-diffusion equations.
Studies of hydrologic-hydrochemical and hydrodynamic characteristics of the Sevastopol Bay were carried out earlier on the basis of both field observations[1, 2] and the results of mathematical modeling [3, 4]. The increased volume of environmental information and modern interdisciplinary mathematical models provided more accurate predictions of the state and dynamics of marine coastal waters [5-9], including for the Black Sea *.
The purpose of this work is to identify possible ways and extent of propagation of polluting impurities coming from various coastal sources in the water area of the Sevastopol Bay in winter and summer seasons on the basis of water circulation diagnostic calculations. These calculations can serve as a basis for creating a system for the region marine environment state monitoring and ensuring its environmental safety.
In this paper the description of the methods and results of the research given in the report on the RFBR grant No. 14-45-01028 ** is used.
Research method
Water circulation model and the data. In order to calculate circulation in the Sevastopol Bay a o-coordinate model, a version of POM (Princeton Ocean Model) [10, 11] adapted to the conditions of the Black Sea coastal regions [12], was applied. POM model is based on the complete system of equations of a free-surface ocean thermo-hydrodynamics in the Boussinesq approximation, hydrostatics and incompressibility of liquid in o-coordinates.
For the vertical mixing parameterization the circulation model includes a turbulence model with 2.5 closure level, based on the Rott - Kolmogorov turbulence hypotheses and generalized by G. Mellor and T. Yamada [13] for the case of stratified flux [14]. The calculation of the currents was carried out using diagnostic method, i.e. at a predetermined density field. The use of adaptation methods allows one to obtain consistent fields of currents and densities, but it leads to a strong smoothing of all computational fields, which is undesirable for a basin with complex morphometry [15].
On a rigid side boundary the condition of impermeability and free slip was applied, on the western liquid open boundary - Sommerfeld radiation condition [16] and the one of heat and salt fluxes equality to zero. Digital data set of the bay bottom relief with 68 m spatial distribution was prepared on the basis of nautical charts and shipboard echosounding surveys. Measurements obtained at Sevastopol weather station were used as a data on wind velocity and direction. Climatic fields of temperature, salinity and density were calculated on the basis of 2.7 thousands hydrologic stations performed in the Sevastopol Bay. Average seasonal variability of the Chernaya River runoff was taken into account in the model.
* Kubryakov, A.I, 2014. [Modeling of Circulation and Mass Transfer Processes in the Black Sea as Applied to the Tasks of Operational Oceanography: doctoral thesis (Phys.-Math.): 04.00.22]. Sevastopol, 399 p. Available at: http://mhi-ras.ru/assets/files/dissertation/Kubryakov_dissertation.pdf [Accessed: 30.11.2018] (in Russian).
** Kubryakov, A.I., 2015. [Modeling of Circulation and Contaminating Impurity Transport Processes in the Sevastopol Bay: Research Report (final)], FSBSI MHI, Sevastopol, 52 p. RFBR grant No. 14-45-01028. Available at: https://esu.citis.ru/ikrbs/1UHVW00KIfdZ15JGu-2cLb00 [Accessed: 10.07.2018] (in Russian).
4 PHYSICAL OCEANOGRAPHY VOL. 26 ISS.1 (2019)
Model of contaminating impurity propagation. In order to calculate a transport of contaminating impurity propagation, a transport-diffusion model based on the following equation was incorporated into the circulation model
dCD dCuD dCvD 8C& ^ d(KH dC^ ^ m
= FT +— I —^— 1 + ^C, (1)
--1---1---1--= f i
dt dx cy da da ^ D da
where C is a concentration of contaminants; t is time; u, v are the current velocity projections on x, y axes; a is a normal to c-surface velocity component; D is total depth; KH is a coefficient of vertical turbulent diffusion;
d dC d dC F = — (AhD —) +--(AhD —) is a term describing horizontal turbulent
dx dx dy dy
diffusion; AH is a coefficient of horizontal turbulent diffusion; ^ is a coefficient of non-conservativeness, which takes into account the change in the impurity concentration due to chemical and biological transformations and in general case it is a function of coordinates and time.
For a detailed description of the transformation of contaminating impurity that has got into the marine environment, it is necessary, first of all, to know the chemical composition of contamination. Particularly, if this is an oil spill, then evaporation, fractionation, decomposition, surface tension effects and other chemical and biological processes must be taken into account [17]. The task of the work was to estimate the degree of contaminating impurities transport by currents without the impurity transformation description. Therefore, when solving equation (1), the coefficient ^ was assumed to be equal to zero.
dc
On the sea surface and its bottom an absence of impurity fluxes — was set.
da
In the places where water flows from the computational domain a zero normal impurity flux was taken both on the rigid and liquid side boundaries. In the places where water inflows the domain, CIN impurity concentration value in the inflowing liquid was set, in our case CIN = 0.
Numerical experiments were carried out in the following way. At first, for 7 days of model time only the circulation was calculated at a fixed wind effect. As the calculations showed, during this period the velocity field was established - the control was carried out according to the value of average kinetic energy over the basin volume and average free surface level over the area. At the initial moment of time, the average climate (for January or July) temperature and salinity fields, which remained fixed, were set. Lateral turbulent diffusion coefficient AH was calculated using the Smagorinsky formula [18]. Then the calculation of contaminating impurity transport itself was carried out, namely: in each of the discharge points in the surface layer the initial conditional concentration C0 = 1 was set vertically. In the rest of the water area C0 = 0, and then along with the model equations the equation (1) was solved for 5 days, i.e. the discharge was assumed to be pulsed one. In the case of a finite-difference approximation of equation (1), a first-order accuracy scheme with counter-flux differences was applied. In order to reduce the scheme viscosity, an iterative Smolarkiewicz scheme [19] with specially determined anti-diffusion rate was used.
Analysis of the results
The cases of winter and summer circulation are considered for two possible sources of contamination: the mouth of the Chernaya River and the Gollandiya Bay coastal zone.
The source of discharge is the Gollandiya Bay (winter season). In Fig. 1 the evolution of contaminative impurity at the sea surface is shown. Initially, the spot propagation occurs along the northern shore of the bay with the prevailing surface currents of the north-west direction caused by the eastern wind. In 48 hours after the discharge, the impurity spot reaches the southern shore of the bay in its central part, despite the surface currents which obstruct this. The cause may be horizontal processes and equally the vertical diffusion, as the impurity can get into the surface layer from the underlying layers in which the water circulation differs from the surface one. After 5 days, the boundary of the contaminative impurity spot reaches the Artilleriyskaya Bay.
F i g. 1. Location of the impurity spot in the surface layer in winter at different time points t after contamination discharge in the Gollandiya Bay
In the subsurface layer between the Gollandiya Bay and the Kilen-Bay a cyclonic eddy is formed. It provides the transport of impurities in the south-west direction. This contributes to the contaminating impurity accumulation at the southern coast, where it rises to the surface layer with upward water movements in the upwelling zone and then moves in a western direction. In the bottom layer, processes similar to those occurring in the subsurface layer are observed.
In Fig. 2 the change in impurity concentration after the discharge is shown on two vertical sections after. The impurity penetration into the Yuzhnaya Bay occurs in the bottom layers since the main water flow getting from the Yuzhnaya Bay into the Sevastopol Bay is concentrated in the surface layer. Contamination reaches the surface layer in the upwelling zone at the edge of the Yuzhnaya Bay.
F i g. 2. Distribution of the impurity conditional concentration (%) in winter on the meridional section 33.533° E (a) and the zonal section 44.621° N (b) in 5 days after contamination discharge in the Gollandiya Bay
The source of discharge is the Gollandiya Bay (summer season). In contrast to the above-described case of winter circulation induced by the eastern wind, the impurity spot initially propagates to the south, rapidly reaches the southern coast and then moves westward with a general flow. In 3 days the spot boundary reaches the Yuzhnaya Bay and in 4 days - the Artilleriyskaya Bay (Fig. 3).
An impurity brought by the surface currents to the southern coast descends into the subsurface layers in the convergence zone and then it is carried to the central part of the bay providing uniform contamination distribution over the basin. Similar processes occur in the bottom layer. Here, the features of impurity concentration distribution, which are due to the anticyclonic eddy located between the Kilen-Bay and the Yuzhnaya Bay, are more noticeable.
F i g. 3. Location of the impurity spot in the surface layer in summer at different time points t after contamination discharge in the Gollandiya Bay
When considering the impurity vertical distribution (Fig. 4), the greatest differences from the situation obtained in January are manifested in the Yuzhnaya Bay where the contamination spot penetrates the entire water column.
F i g. 4. Distribution of the impurity conditional concentration (%) in summer on the meridional section 33.533° E (a) and the zonal section 44.621° N (b) in 5 days after contamination discharge in the Gollandiya Bay
The source of discharge is the Chernaya River estuary (winter season). The structure of currents in the marginal eastern part of the Sevastopol Bay in January is such that the water flow after coming out of narrowness near Inkerman deviates in a northwesterr direction towards the Gollandiya Bay.
3351 33.5Î 33.53 33,34 33 55 335« 3337 33,56 *E
F i g. 5. Location of the impurity spot in the surface layer in winter at different time points t after contamination discharge in the Chernaya River estuary
The impurity spot passes the distance from the Chemaya River estuary to the Gollandiya Bay in 1 day and rather uniformly fills the Sevastopol Bay eastern part with an increase in contamination concentration from the northern to the southern coasts (Fig. 5, 6). After the impurity reaches the Gollandiya Bay, its further propagation generally corresponds to the above-described case of instantaneous discharge of contaminants directly in the bay itself.
F i g. 6. Location of the impurity spot in the bottom layer in winter at different time points t after contamination discharge in the Chernaya River estuary
The source of discharge is the Chernaya River estuary (summer season). In July, despite the differences in the direction of surface currents compared to January, the integral water transport in the eastern part of the Sevastopol Bay remains the same: the flow deviates in the north-western direction towards the Gollandiya Bay. Therefore, the evolution of the impurity spot corresponds to the situation obtained for January: the contaminated waters pass the distance from the Chernaya River estuary to the Gollandiya Bay in 1 day, uniformly fill the water area of the eastern part of the bay and further propagate as in the case of the contamination discharge in the Gollandiya Bay in July.
Conclusion
The calculations obtained as a result of numerical experiments on the contaminating impurity propagation from the place of possible discharge in the Chernaya River estuary showed that regardless of wind conditions the impurity spot, moving in the north-western direction, reaches the Gollandiya Bay area. Further evolution of contaminated waters, as well as in the cases of direct discharge in the Gollandiya Bay, mainly depends on the type of water circulation in the Yuzhnaya Bay and, to a lesser extent, on the field of currents in the Sevastopol Bay central part.
The performed numerical experiments showed the efficiency and adequacy of reconstruction of the processes under study in the model, which provides further planning of the prognostic calculations for simulating the seasonal circulation variation and thermohaline structure the Sevastopol Bay waters. This also provides more accurate description of the ways of contamination propagation.
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About the authors:
Vladimir N. Belokopytov - Head of Oceanography Department, FSBSI MHI (2 Kapitanskaya Str., Sevastopol, 299011, Russian Federation), Dr. Sci (Geogr.), ORCID ID: 0000-0003-4699-9588, Scopus Author ID: 6602381894, v.belokopytov@gmail.com
Alexander I. Kubryakov - Deputy Director for Science, FSBSI MHI (2 Kapitanskaya Str., Sevastopol, 299011, Russian Federation), Dr. Sci (Phys.-Math.), ORCID ID: 0000-0003-1899-9230, Scopus Author ID: 6602809060, ResearcherID: F-8959-2014, alexander.kubryakov@mhi-ras.ru
Svetlana F. Pryakhina - Leading Engeneer-Researcher, Department of Dynamics of Oceanic Processes, FSBSI MHI (2 Kapitanskaya Str., Sevastopol, 299011, Russian Federation), odop_mhi_nanu@mail.ru
Contribution of the co-authors:
Vladimir N. Belokopytov - preparation of the data for the boundary and initial conditions of the mathematical model, analysis of the modeling results
Alexander I. Kubryakov - mathematical model development and adaptation to the Sevastopol Bay conditions
Svetlana F. Pryakhina - carrying out the numerical experiments, processing of the modeling results
All the authors have read and approved the final manuscript.
The authors declare that they have no conflict of interest.
