Major Ionic Composition of Coastal Waters of the Northeastern Black Sea
N. Yu. Andrulionis✉, I. B. Zavialov, P. O. Zavialov
Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russian Federation
✉ e-mail: natalya@ocean.ru
Abstract
Purpose. The purpose of the work is to study the variability of major ionic composition and salinity in the coastal zone the northeastern Black Sea over the period 2022–2025, to analyze its causes, as well as to assess the impact of major ionic composition on the accuracy of salinity determination by the classical (chlorinity) and modern (TEOS-10) methods.
Methods and Results. The water samples were collected in the coastal water area from the city of Anapa to the Lazarevskoye settlement (Sochi) during the expeditions in September 2022, in June, September and December, 2023, in August 2024, and in March and August, 2025. The concentrations of major ions (Cl−, SO42−, HCO3−, Ca2+, Mg2+) were determined by the potentiometric titration method, K+ gravimetrically, and Na+ by calculation method. The water salinity values were calculated in three ways: by the sum of major ions, by chlorinity, and by density using the TEOS-10 thermodynamic equation. Density was measured by a high-precision laboratory densitometer. Salinity of the studied water samples varied from 8.77 to 19.11 g/kg (average is ∼ 18.40 g/kg). The relative content of Cl− varied within the range 52.6–54.6%, SO42− – 7.8–12.9%, HCO3− 0.8–1.4%, Na+ – 29.9–31.5%, Ca2+ – 1.1–1.8% and Mg2+ – 3–3.7%. The highest deviations of major ionic composition from the oceanic one correspond mainly to the low salinity waters, and this fact indicates the decisive role of freshwater continental runoff in the modification of major ionic composition. The deviation of chlorinity-based salinity calculation from the one based on sum of ions were up to 5% (∼ 0.9 g/kg) in the coastal sea waters with salinity 19 g/kg and 11% (∼ 0.9 g/kg) directly in the river mouth waters with salinity 9 g/kg and the deviation of density-based salinity calculation using the TEOS-10 equation constituted 4% (0.7 g/kg) in the coastal sea waters with salinity 19 g/kg. A correlation between the increase in SS – SCl difference and the increase in SO42−, HCO3− and Ca2+ contents in water composition was established; when assessing the SS – S4ρ difference, no such correlation was observed.
Conclusions. A comparison of three methods for determining salinity – by the sum of ions (SS), by the chlorine coefficient (SCl) and using the S4ρ density values – has shown that the most accurate values are obtained by the ion sum method. This method makes it possible to define the causes of salinity change due to seasonal variations in the concentrations of certain ions (SO42−, HCO3− and Ca2+) in the coastal waters. A comparative analysis of the results revealed a trend towards increasing salinity in the coastal waters of the Black Sea northeastern shelf over the observation period 2022–2025.
Keywords
northeastern shelf of the Black Sea, Krasnodar Krai, ion composition, seawater salinity, seawater density, Black Sea
Acknowledgements
The research was carried out within the framework of state assignment of IO RAS FMWE 2024-0015. The authors are grateful to all the participants of expeditions in 2022–2025 during which the data used in the study were obtained.
About the authors
Natalia Yu. Andrulionis, Senior Researcher, Laboratory of Ocean–Land Water Interaction and Anthropogenic Processes, Shirshov Institute of Oceanology, Russian Academy of Sciences (36 Nakhimovsky Prospekt, Moscow, 117997, Russian Federation), CSc. (Geogr.), SPIN-code: 9040-2714, ORCID ID: 0000-0001-9141-1945, Web of Science Researcher ID: AGP-4038-2022, Scopus Author ID: 57209575290, natalya@ocean.ru
Ivan B. Zavialov, Junior Researcher, Laboratory of Ocean–Land Water Interaction and Anthropogenic Processes, Shirshov Institute of Oceanology, Russian Academy of Sciences (36 Nakhimovsky Prospekt, Moscow, 117997, Russian Federation), SPIN-code: 6576-0430, ORCID ID: 0009-0004-0083-4475, Web of Science Researcher ID: AGQ-4773-2022, i.zav@ocean.ru
Peter O. Zavialov, Chief Researcher, Head of the Laboratory of Ocean–Land Water Interaction and Anthropogenic Processes, Deputy Director for Physics, Shirshov Institute of Oceanology, Russian Academy of Sciences (36 Nakhimovsky Prospekt, Moscow, 117997, Russian Federation), DSc. (Geogr.), Corresponding Member of RAS, SPIN-code: 2805-6673, ORCID ID: 0000-0002-3712-8302, Scopus Author ID: 6603611237, Researcher ID: E-7026-2014, peter@ocean.ru
Original russian text
Original Russian Text © N. Yu. Andrulionis, I. B. Zavialov, P. O. Zavialov, 2026, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 42, Iss. 3, pp. 402–421 (2026)
For citation
Andrulionis, N.Yu., Zavialov, I.B. and Zavialov, P.O., 2026. Major Ionic Composition of Coastal Waters of the Northeastern Black Sea. Physical Oceanography, 33(3), pp. 439-457.
References
- Kremling, K., 1974. Relation between Chlorinity and Conductometric Salinity in Black Sea Water. In: E. T. Degens and D. A. Ross, eds., 1974. The Black Sea – Geology, Chemistry, and Biology. AAPG Memoir, vol. 20. Tulsa: American Association of Petroleum Geologists, pp. 151-154. https://doi.org/10.1306/M20377C44
- Millero, F.J., Feistel, R., Wright, D.G. and McDougall, T.J., 2008. The Composition of Standard Seawater and the Definition of the Reference-Composition Salinity Scale. Deep Sea Research Part I: Oceanographic Research Papers, 55(1), pp. 50-72. https://doi.org/10.1016/j.dsr.2007.10.001
- Gershanovich, D.E., Ryabinin, A.I. and Simonov, A.I., eds., 1992. Hydrometeorology and Hydrochemistry of Seas in the USSR. Vol. 4. The Black Sea. Issue 2. Hydrochemical Conditions and Oceanological Basis for the Formation of Biological Productivity. Saint Petersburg: Gidrometeoizdat, 220 p. (in Russian).
- Andrulionis, N.Yu., Zavialov, P.O. and Izhitskiy, A.S., 2022. Effect of Variations in the Ion-Salt Water Composition on the Accuracy of Salinity Measurements. Physical Oceanography, 29(5), pp. 463-479. https://doi.org/10.22449/1573-160X-2022-5-463-479
- Sorokin, Yu.I., 1982. The Black Sea: Nature, Resources. Moscow: Nauka, 216 p. (in Russian).
- Deuser, W.G., 1974. Evolution of Anoxic Conditions in the Black Sea during the Holocene. In: E.T. Degens and D.A. Ross, eds., 1974. The Black Sea – Geology, Chemistry, and Biology. Tulsa: American Association of Petroleum Geologists, pp. 133-136 (AAPG Memoir, vol. 20).
- Ivanov, V.A. and Belokopytov, V.N., 2011. Oceanography of the Black Sea. Sevastopol: ECOSY-Gidrofizika, 212 p. (in Russian).
- Ginzburg, A.I., Kostianoy, A.G., Serykh, I.V. and Lebedev, S.A., 2021. Climate Change in the Hydrometeorological Parameters of the Black and Azov Seas (1980–2020). Oceanology, 61(6), pp. 745-756. https://doi.org/10.1134/S0001437021060060
- Zavialov, P.O., Makkaveev, P.N., Konovalov, B.V., Osadchiev, A.A., Khlebopashev, P.V., Pelevin, V.V., Grabovskiy, A.B., Izhitskiy, A.S., Goncharenko, I.V. [et al.], 2014. Hydrophysical and Hydrochemical Characteristics of the Sea Areas Adjacent to the Estuaries of Small Rivers of the Russian Coast of the Black Sea. Oceanology, 54(3), pp. 265-280. https://doi.org/10.1134/S0001437014030151
- Savenko, A.V. and Savenko, V.S., 2022. Adsorbed Chemical Elements of River Runoff of Solids and Their Role in the Transformation of Dissolved Matter Runoff into the Ocean. Minerals, 12(4), 445. https://doi.org/10.3390/min12040445
- Gordeev, V.V., 2018. Geochemistry of River Runoff into the Black Sea. In: A. P. Lisitzin, ed., 2018. The Black Sea System. Moscow: Scientific World, pp. 247-286 (in Russian).
- Andrulionis, N.Yu., Zavialov, I.B. and Rozhdestvenskiy, S.A., 2024. Major Ion Composition of Waters in the Kerch Strait and the Adjacent Areas. Physical Oceanography, 31(1), pp. 79-98.
- Altman, E.M. and Kumysh, N.I., 1986. Long-Term Intra-Annual Variability of the Freshwater Balance of the Black Sea. Proceedings of the State Institute of Oceanology, 176, pp. 3-18 (in Russian).
- Simonov, A.I. and Altman, A.N., eds., 1991. Hydrometeorology and Hydrochemistry of Seas in the USSR. Vol. 4. The Black Sea. Issue 1. Hydrometeorological Conditions. Saint Petersburg: Gidrometeoizdat, 429 p. (in Russian).
- Jaoshvili, Sh., 2002. Black Sea Rivers. European Environment Agency, 58 p. (Technical Report No. 71). [online] Available at: http://www.eea.europa.eu/ru/publications/technical_report_2002_71/at_download/file [Accessed: 10 May 2026].
- Kosyan, R.D., Podymov, I.S. and Pykhov, N.V., 2003. Dynamic Processes of the Coastal Zone of the Sea. Moscow: Nauchny Mir, 325 p. (in Russian).
- Le Menn, M. and Nair, R., 2022. Review of Acoustical and Optical Techniques to Measure Absolute Salinity of Seawater. Frontiers in Marine Science, 9, 1031824. https://doi.org/10.3389/fmars.2022.1031824
- Bai, X., Wang, X., Zhang, M., Wang, M., Yang, B., Su, J. and Wu, C., 2025. An Optical Michelson Interferometric Spectrometer-Based Seawater Density Sensor with Improved Long-Term Stability in the Deep-Sea Trial. Measurement, 250, 117230. https://doi.org/10.1016/j.measurement.2025.117230
- Pawlowicz, R., 2013. Key Physical Variables in the Ocean: Temperature, Salinity, and Density. Nature Education Knowledge, 4(4), 13.
- Woosley, R.J., Huang, F. and Millero, F.J., 2014. Estimating Absolute Salinity (SA) in the World’s Oceans Using Density and Composition. Deep Sea Research Part I: Oceanographic Research Papers, 93, pp. 14-20. https://doi.org/10.1016/j.dsr.2014.07.009
- Meybeck, M., 2004. Global Occurrence of Major Elements in Rivers. In: H.D. Holland and K.K. Turekian, eds., 2004. Surface and Ground Water, Weathering and Soils. Treatise of Geochemistry, vol. 5. Amsterdam: Elsevier, pp. 207-223. https://doi.org/10.1016/B0-08-043751-6/05164-1
- Korotenko, K., Osadchiev, A. and Melnikov, V., 2022. Mesoscale Eddies in the Black Sea and Their Impact on River Plumes: Numerical Modeling and Satellite Observations. Remote Sensing, 14(17), 4149. https://doi.org/10.3390/rs14174149
- Millero, F.J., 2013. Chemical Oceanography. 4th Edition. Boca Raton: CRC Press, 591 p. https://doi.org/10.1201/b14753
- Andrulionis, N.Yu. and Zavyalov, P.O., 2019. Laboratory Studies of the Main Component Composition of Hypergaline Lakes. Physical Oceanography, 26(1), pp. 13-31. https://doi.org/10.22449/1573-160X-2019-1-13-31
- Gordeev, V.V., 2012. Geochemistry of the River-Sea System. Moscow: Matushkina I.I., 452 p. (in Russian).
- Savenko, A.V., 2024. Experimental Models of Sorption-Sedimentation Geochemical Barriers in the Ocean. Moscow: GEOS, 294 p. (in Russian).
- Makkaveev, P.N. and Zavialov, P.O., 2018. Flow of Small and Medium-Sized Rivers of the Russian Black Sea Coast and Its Influence on Water Characteristics. In: A. P. Lisitzin, ed., 2018. The Black Sea System. Moscow: Scientific World, pp. 287-322. https://doi.org/10.29006/978-5-91522-473-4.2018 (in Russian).
- Magritsky, D.V., 2014. Spatio-Temporal Characteristics of Floods on the Black Sea Coast of the Russian Federation. Bulletin of Moscow University. Series 5. Geography, 6, pp. 39-47 (in Russian).
- Alexeevsky, N., Magritsky, D., Koltermann, K., Krylenko, I. and Toropov, P., 2016. Causes and Systematics of Inundations of the Krasnodar Territory on the Russian Black Sea Coast. Natural Hazards and Earth System Sciences, 16(6), pp. 1289-1308. https://doi.org/10.5194/nhess-16-1289-2016
- Migun, T.G., ed., 2008. Toponymy of Gelendzhik and Its Environs: Settlements. Gelendzhik. Iss. 3, 42 p. (in Russian).
- Ginzburg, A.I., Kostianoy, A.G., Serykh, I.V. and Lebedev, S.A., 2021. Climate Change in the Hydrometeorological Parameters of the Black and Azov Seas (1980–2020). Oceanology, 61, pp. 745-756. https://doi.org/10.1134/S0001437021060060
- Podymov, O.I., Zatsepin, A.G. and Ostrovskii, A.G., 2023. Fine Structure of Vertical Density Distribution in the Black Sea and Its Relationship with Vertical Turbulent Exchange. Journal of Marine Science and Engineering, 11(1), 170. https://doi.org/10.3390/jmse11010170
- Fakhraee, M., Crockford, P.W., Bauer, K.W., Pasquier, V., Sugiyama, I., Katsev, S., Raven, M.R., Gomes, M., Philippot, P. [et al.], 2025. The History of Earth’s Sulfur Cycle. Nature Reviews Earth and Environment, 6(2), pp. 106-125. https://doi.org/10.1038/s43017-024-00615-0
- Ivanov, M.V., Pimenov, N.V., Rusanov, I.I., Savvichev, A.S. and Lein, A.Yu., 1998. The Role of Anaerobic Bacteria in the Black Sea Ecosystems. Priroda, 6, pp. 97-103 (in Russian).
- Ji, F., Yang, J., Ding, F., Zheng, B. and Ning, P., 2024. The Salinity Anomalies Due to Nutrients and Inorganic Carbon in the Bohai Sea. Frontiers in Marine Science, 11, 1418860. https://doi.org/10.3389/fmars.2024.1418860