Simulation of a Fuel Oil Spill Using the Oil-Spill Model SPILLMOD
V. V. Solbakov1, ✉, S. N. Zatsepa2, N. А. Diansky2, 3, 4, А. А. Ivchenko2, E. А. Korshenko2, I. I. Panasenkova2, 5, V. V. Fomin2, 4, 5
1 Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russian Federation
2 N. N. Zubov’s State Oceanographic Institute, Roshydromet, Moscow, Russian Federation
3 M. V. Lomonosov Moscow State University, Moscow, Russian Federation
4 Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russian Federation
5 Hydrometeorological Center of Russia, Moscow, Russian Federation
✉ e-mail: vsolbakov@frccsc.ru
Abstract
Purpose. The aim of the work is to comprehensively analyze the key factors distinguishing the accident involving the Volgoneft-212 and Volgoneft-239 tankers in the Kerch Strait on December 15, 2024 from many other spills, namely the fuel oil characteristics, the pollution source features, and the hydrometeorological conditions significant for mathematical modeling.
Methods and Results. The oil spill transport was simulated using a set of the SPILLMOD mathematical models. An integrated system for operational forecasting of hydrometeorological characteristics (Marine Hindcast and Forecast System, MHFS) including the regional atmospheric model WRF and the Russian marine circulation model INMOM was applied for hydrometeorological forecasts. The conducted assessments have shown that the specific features of the accident and the properties of transported fuel oil resulted in the prolonged fuel oil release from the source. However, 95 % of the tank contents was released within the first few days. During this period the source power decreases by at least two orders of magnitude.
Conclusions. The results of simulation performed in the first days after the accident are confirmed by coastal monitoring data. Application of the SPILLMOD model made it possible to determine the time and locations of the release of fuel oil pollution into the coastal zone. Subsequent assessments of the intensity of fuel oil spill revealed the fact that the bulk of the fuel oil that entered the sea was brought to the coast and shallow waters in the area from Veselovka settlement to Anapa resort city. The information on time, locations and volumes of fuel oil collected in this area are consistent with the proposed hypothesis on a rapid decrease with time of the intensity of fuel oil release to marine environment, and also indicate the adequate choice and successful application of the selected models, forecasts of hydrometeorological characteristics and calculation systems. The similarity between the density of fuel oil and that of water, its high viscosity and the hydrological characteristics of the Kerch Strait, the Sea of Azov and the Black Sea may result in both positive and negative buoyancy, as well as formation of seabed oil-mineral aggregates when fuel oil is combined with suspended matter and sand. Adequate forecast of the distribution of heavy oil types requires the improved models describing the transformation processes which include sedimentation of the dispersed and floating oil.
Keywords
fuel oil spill, Kerch Strait, mathematical modeling, numerical modeling, forecast of hydrometeorological characteristics, hydrometeorological characteristics, marine oil spills, INMOM, SPILLMOD, Black Sea
About the authors
Vyacheslav V. Solbakov, Senior Researcher, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, (44/2 Vavilova Str., Moscow, 119333, Russian Federation), CSc. (Phys.-Math.), Scopus Author ID: 6506793953, ResearcherID: AAB-6735-2019, SPIN-code: 7656-6621, vsolbakov@frccsc.ru
Sergei N. Zatsepa, Head of the Laboratory for Modeling the State of the Marine Environment, N. N. Zubov’s State Oceanographic Institute, Roshydromet (6 Kropotkinskiy Lane, Moscow, 119034, Russian Federation), DSc. (Phys.-Math.), ORCID ID: 0000-0002-7072-3920, ResearcherID: T-1242-2018, Scopus Author ID: 55950369100, SPIN-code: 3922-3330, zatsepa@gmail.com
Nikolay A. Diansky, Chief Researcher, M.V. Lomonosov Moscow State University (1 Leninskie Gory, Moscow, 119991, Russian Federation), DSc. (Phys.-Math.), Associate Professor, ORCID ID: 0000-0002-6785-1956, ResearcherID: R-8307-2018, SPIN-code: 5450-6667, nikolay.diansky@gmail.com
Аleksandr А. Ivchenko, Senior Researcher, N.N. Zubov’s State Oceanographic Institute, Roshydromet (6 Kropotkinskiy Lane, Moscow, 119034, Russian Federation), ORCID ID: 0009-0003-3828-378X, Scopus Author ID: 55950528300, SPIN-code: 5443-1160, alivch654@gmail.com
Evgeniya A. Korshenko, Researcher, Department of Numerical Modeling of Hydrophysical Processes, Laboratory of Operational Modeling, N.N. Zubov’s State Oceanographic Institute, Roshydromet (6 Kropotkinskiy Lane, Moscow, 119034, Russian Federation), ORCID ID: 0000-0003-2310-9730, ResearcherID: AAE-3617-2019, Scopus Author ID: 57194570985, SPIN-code: 1754-4563, zhenyakorshenko@gmail.com
Irina I. Panasenkova, Researcher, N.N. Zubov’s State Oceanographic Institute, Roshydromet (6 Kropotkinskiy Lane, Moscow, 119034, Russian Federation), ORCID ID: 0000-0002-8338-4825, ResearcherID: AAE-4131-2019, Scopus Author ID: 57202425753, SPIN-code: 1193-6046, ipanasenkova@mail.ru
Vladimir V. Fomin, Head of Laboratory, Senior Researcher, N.N. Zubov’s State Oceanographic Institute, Roshydromet (6 Kropotkinskiy Lane, Moscow, 119034, Russian Federation), ORCID ID: 0000-0001-8857-1518, ResearcherID: C-2124-2017, Scopus Author ID: 57208310824, SPIN-code: 8803-9548, vladimirfomin@gmail.com
Original russian text
Original Russian Text © The Authors, 2026, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 42, Iss. 3, pp. 483–505 (2026)
For citation
Solbakov, V.V., Zatsepa, S.N., Diansky, N.A., Ivchenko, A.A., Korshenko, E.A., Panasenkova, I.I. and Fomin, V.V., 2026. Simulation of a Fuel Oil Spill Using the Oil-Spill Model SPILLMOD. Physical Oceanography, 33(3), pp. 516–537.
References
- Zatsepa, S.N., Ivchenko, A.A., Knizhnikov, А.Yu. and Solbakov, V.V., 2023. Analysis Approach to the of Meteorological Conditions that Determine the Gap in Response to Marine Oil Spills in the Arctic Zone of the Russian Federation. Arctic: Ecology and Economy, 13(3), pp. 369–381. https://doi.org/10.25283/2223-4594-2023-3-369-381 (in Russian).
- Donchenko, V.K., Gusev, A.V., Ivanchin, A.A., Mansurov, M.N., Zatsepa, S.N., Ivchenko, A.A., Knizhnikov, А.Y., Solbakov, V.V. and Blinovskaya, Y.Y., 2023. Polemical Article on the Study Results “An Approach to the Analysis of Hydrometeorological Conditions that Determine the Delay in Response to Marine Oil Spills in the Arctic Zone of the Russian Federation”. Arctic: Ecology and Economy, 13(3), pp. 482–487. https://doi.org/10.25283/2223-4594-2023-pw1 (in Russian).
- Lavrova, O.Yu., Loupian, E.A. and Kostianoy, A.G., 2025. Consequences of Tanker Accidents on the Black Sea Side of the Kerch Strait on December 15, 2024: A Comprehensive Analysis of Satellite and Meteorological Data. Problems of Remote Sensing of the Earth from Space, 22(2), pp. 282–299. https://doi.org/10.21046/2070-7401-2025-22-2-282-299 (in Russian).
- Lavrova, O.Yu., Loupian, E.A. and Kostianoy, A.G., 2025. Satellite Monitoring of the Fuel Oil Spill in the Kerch Strait Area on December 15, 2024: Preliminary Results. Modern Problems of Remote Sensing of the Earth from Space, 22(1), pp. 327–335. https://doi.org/10.21046/2070-7401-2025-22-1-327-335 (in Russian).
- Klimenko, S.K., Ivanov, А.Ju., Zatsepa, S.N., Ivchenko, А.А. and Solbakov, V.V., 2025. Results of Radar Monitoring and Accompanying Numerical Modeling of Catastrophic Heavy Oil Product Spills in the Kerch Strait in 2024–2025. In: Proceedings of the XIII All-Russian Conference with International Participation “Modern Problems of Optics of Natural Waters”. Saint Petersburg, pp. 146–151 (in Russian).
- Gustitus, S.A. and Clement, T.P., 2017. Formation, Fate, and Impacts of Microscopic and Macroscopic Oil‐Sediment Residues in Nearshore Marine Environments: A Critical Review. Reviews of Geophysics, 55(4), pp. 1130–1157. https://doi.org/10.1002/2017RG000572
- Michel, J. and Bambach, P.A., 2022. A Response Guide for Sunken Oil Mats (SOMs): Formation, Behavior, Detection, and Recovery. Journal of Marine Science and Engineering, 10(3), 368. https://doi.org/10.3390/jmse10030368
- Klimenko, S.K. and Ivanov, А.Yu., 2025. Pollution of the Kerch Pre-Strait after a Man-Made Disaster and Its Assessment According to Remote Sensing Data. In: Proceedings of the 23rd International Conference “Modern Problems of Remote Sensing of the Earth from Space”. Moskva: IKI RАN, p. 237 (in Russian).
- Kubryakov, A.A., Georga-Kopoulos, A.A., Stanichny, S.V., Kholod, A.L., Kleshchenkov, A.V., Kulygin, V.V., Puzina, O.S. and Mizyuk, A.I., 2025. Spread of Oil Pollution in the Black Sea after the Accidents at the “Volgoneft” Tankers in December 2024 Based on Numerical Simulations Using the Model FOTS MHI, as Well as Satellite and In-Situ Measurement Data. Physical Oceanography, 32(6), pp. 788–806.
- Nemirovskaya, I.A., Zavialov, P.O., Medvedeva, A.V., Khalikov, I.S., Konovalov, B.V. and Kalgin, V.U., 2025. Transformation of Fuel Oil in the Black Sea Two and a Half Months after the Tanker Accident. Doklady Earth Sciences, 523(2), 37. https://doi.org/10.1134/S1028334X25607461
- Matishov, G.G., Kleshchenkov, A.V., Kulygin, V.V. and Berdnikov, S.V., 2025. Accidents and Consequences of Tanker Transportation of Fuel Oil (Kerch Strait – 2007, Anapa – 2024). Rostov-on-Don: SSC RAS Publishers, 152 p. (in Russian).
- Zatsepa, S.N., Diansky, N.А., Ivchenko, А.А., Korshenko, E.А., Kucheiko, А.А., Panasenkova, I.I., Solbakov, V.V. and Fomin, V.V., 2026. Phenomenology and Modeling Features of the Fuel Oil Spill in the Kerch Strait (FOSKS-2024). Journal of Oceanological Research, 54(1), pp. 51–83. https://doi.ocean.ru/10.29006/1564-2291.JOR-2026.54(1).4 (in Russian).
- Zatsepa, S.N., Ivchenko, А.А., Solbakov, V.V. and Stanovoy, V.V., 2018. Forecasting the Spread of Oil and Petroleum Products in the Event of an Emergency Spill in Marine Areas (Scientific and Methodological Manual). Moscow: AO “Finpol”, 140 p. (in Russian).
- Barker, C.H., Kourafalou, V.H., Beegle-Krause, C., Boufadel, M., Bourassa, M.A., Buschang, S.G., Androulidakis, Y., Chassignet, E.P., Dagestad, K.-F. [et al.], 2020. Progress in Operational Modeling in Support of Oil Spill Response. Journal of Marine Science and Engineering, 8(9), 668. https://doi.org/10.3390/jmse8090668
- Keramea, P., Spanoudaki, K., Zodiatis, G., Gikas, G. and Sylaios, G., 2021. Oil Spill Modeling: A Critical Review on Current Trends, Perspectives, and Challenges. Journal of Marine Science and Engineering, 9(2), 181. https://doi.org/10.3390/jmse9020181
- Keramea, P., Kokkos, N., Zodiatis, G. and Sylaios, G., 2023. Modes of Operation and Forcing in Oil Spill Modeling: State-of-Art, Deficiencies and Challenges. Journal of Marine Science and Engineering, 11(6), 1165. https://doi.org/10.3390/jmse11061165
- Zatsepa, S., Ivchenko, A. and Ovsienko, S., 1992. A Local Operative Model for Oil Drift and Dispersion. In: Proceedings of Combatting Marine Oil Spills in Ice and Cold Conditions. Helsinki, Finland, pp. 189–192.
- Korotenko, K.A., Bowman, M.J. and Dietrich, D.E., 2010. High-Resolution Numerical Model for Predicting the Transport and Dispersal of Oil Spilled in the Black Sea. Terrestrial, Atmospheric and Oceanic Sciences (TAO), 21(1), pp. 123–136. https://doi.org/10.3319/TAO.2009.04.24.01(IWNOP)
- Stanovoj, V.V., Lavrenov, I.V. and Neelov, I.А., 2007. Oil Spill Modeling System for Ice-Infested Seas. Problemy Аrktiki i Аntarktiki, 3(77), pp. 7–16 (in Russian).
- Zatsepa, S.N., Ivchenko, A.A. and Solbakov, V.V., 2022. SPILLMOD – A CFD Model for Information Support of Marine Oil Spill Response. Journal of Oceanological Research, 50(2), pp. 72–105. https://doi.org/10.29006/1564-2291.JOR-2022.50(2).4
- Solbakov, V.V., Zatsepa, S.N. and Ivchenko, A.A., 2025. Spillmod, A CFD Model for Marine Oil Spill. In: T. Chaplina, ed., 2025. Modeling, Analysis, Control and Removal of Oil and Hydrocarbon Spills. Cham: Springer, pp. 1–38 (Earth and Environmental Sciences Library). https://doi.org/10.1007/978-3-031-77711-0_1
- Zodiatis, G., Lardner, R., Liubartseva, S., Sylaios, G., Palazov, A., Kubryakov, A., Ciliberti, S.A., Soloviev, D., Keramea, P. [et al.], 2021. Numerical Models for Oil Spillages in the Black Sea and the Adjacent Sea of Azov. In: Barcelo, D. and Kostianoy, A.G., eds., 2021. The Handbook of Environmental Chemistry. Berlin; Heidelberg: Springer, pp. 1–34. https://doi.org/10.1007/698_2021_815
- Pokazeev, K., Sovga, E. and Chaplina, T., 2021. Numerical Modeling of the Hydrocarbon Spot Shape on the Water Surface. In: Pokazeev, K., Sovga, E. and Chaplina, T., 2021. Pollution in the Black Sea. Cham: Springer, pp. 37–44. https://doi.org/10.1007/978-3-030-61895-7_4
- Diansky, N.A., Fomin, V.V., Korshenko, E.A. and Kabatchenko, I.M., 2020. Hindcast and Operational Forecasting System of Hydrometeorological Characteristics for the Sea of Azov and Kerch Strait. Ecology Economy Informatics. Geoinformation Technologies and Space Monitoring, 2(5), pp. 131–140. https://doi.org/10.23885/2500-123X-2020-2-5-131-140 (in Russian).
- Zalesny, V.B., Diansky, N.A., Fomin V.V., Moshonkin, S.N. and Demyshev, S.G., 2013. Numerical Model of the Circulation of the Black Sea and the Sea of Azov. Russian Journal of Numerical Analysis and Mathematical Modelling, 27(1), pp. 95–111. https://doi.org/10.1515/rnam-2012-0006
- Diansky, N.А., 2013. Modeling of Ocean Circulation and Investigation of Its Response to Short-Period and Long-Period Atmospheric Effects. Moscow: Fizmatlit, 272 p. (in Russian).
- Moshonkin, S., Zalesny, V. and Gusev, A., 2018. Simulation of the Arctic–North Atlantic Ocean Circulation with a Two-Equation K-Omega Turbulence Parameterization. Journal of Marine Science and Engineering, 6(3), 95. https://doi.org/10.3390/jmse6030095
- Korotaev, G.K., Mizyuk, A.I., Kholod, A.L. and Ratner, Yu.B., 2025. Development of the Marine Forecasting System for the World Ocean and Individual Seas of Russia. In: Maritime Strategy and Policy of Russia in the Context of Ensuring National Security and Sustainable Development in the 21st Century: Collection of Scientific Papers. Simferopol: IT ARIAL, pp. 115–117 (in Russian).
- Korotaev, G.K., 2018. Operational Oceanography: A New Branch of Modern Oceanological Science. Herald of the Russian Academy of Sciences, 88(4), pp. 272–280. https://doi.org/10.1134/S1019331618040032
- Grigoriev, A.V., Gruzinov, V.M., Zatsepin, A.G., Vorontsov, A.A., Kubryakov, A.I. and Shapoval, K.O., 2018. Operational Oceanography of the North-Eastern Part of the Black Sea: Estimations of the Accuracy of Simulation in Comparison with the Data of Contact Observations. In: The Seas of Russia: Methods, Tools and Research Results, Sevastopol, September 24-28, 2018. Sevastopol: Marine Hydrophysical Institute of the Russian Academy of Sciences, 36 p. (in Russian).
- Korotaev, G.K., Ratner, Y.B., Ivanchik, M.V., Kholod, A.L. and Ivanchik, A.M., 2016. Operational System for Diagnosis and Forecast of Hydrophysical Characteristics of the Black Sea. Izvestiya, Atmospheric and Oceanic Physics, 52(5), pp. 542–549. https://doi.org/10.1134/S0001433816050078
- Mizjuk, А.I., Kholod, А.L., Zhuk, E.V., Ivanchik, А.M. and Korotaev, G.K., 2023. An Innovative System of Operational Marine Forecasts. In: [The State and Prospects of Development of Modern Science in the Field of “New Materials and Energy in the Armed Forces of the Russian Federation”]. Anapa, vol. 1, pp. 104–110 (in Russian).
- Kuznetsov, S.А. and Kholod, А.L., 2018. Information Subsystem of Data Selection from the Specialized Archive of the Black Sea Marine Forecasting Center. In: Sokolov, B.V., ed., 2018. Advanced National Information Systems and Technologies. Materials of IV Interregional Scientific-Practical Conference (Sevastopol, September 18-22, 2018). Sevastopol: Sevastopol State University, pp. 303–304 (in Russian).
- Zatsepa, S.N., Ivchenko, A.A., Zhuravel, V.I., Solbakov, V.V. and Stanovoy, V.V., 2014. Risk Analysis of Oil Spill Spread: Case of the Ob Bay of the Kara Sea. Arctic: Ecology and Economy, 3(15), pp. 30–45 (in Russian).
- Klyagina, O.S., Pokazeev, K.V., Zatsepa, S.N. and Solbakov, V.V., 2022. The Study of Pollutants’ Pathways in the Caspian Sea by Modeling Lagrangian Trajectories. In: Karev, V.I., ed., 2022. Physical and Mathematical Modeling of Earth and Environment Processes. Cham: Springer, pp. 99–105. (Springer Proceedings in Earth and Environmental Sciences). https://doi.org/10.1007/978-3-030-99504-1_11
- Harlow, F.H., 1964. The Particle-in-Cell Computing Method for Fluid Dynamics. Methods in Computational Physics, 3, pp. 319–343.
- Zatsepa, S.N., Ivchenko, A.A. and Solbakov, V.V., 2023. Conditionally Eulerian–Lagrangian Method on the Example of the Problem on the Dynamics of an Intrathermocline Vortex Lens. Mathematical Models and Computer Simulations, 15(3), pp. 539–553. https://doi.org/10.1134/S2070048223030201
- Ovsienko, S.N., Fashchuck, D.Ja., Zatsepa, S.N., Ivchenko, A.A. and Petrenko, O.A., 2008. Storm of 11 November, 2007, in Strait of Kerch: Chronology of Events, Mathematical Modeling and Geographic/Ecological Analysis of Oil Spill. Trudy GOIN, (211), pp. 307–339 (in Russian).
- Faschuk, D.Ya., 2009. Ecological and Geographical Consequences of the Tanker Disaster in the Kerch Strait on November 11, 2007. Izvestiya Rossiiskoi Akademii Nauk. Seriya Geograficheskaya, (1), pp. 105–117 (in Russian).
- Zatsepa, S.N., Ivchenko, А.А., Zhuravel, V.I. and Solbakov, V.V., 2020. Study of Pseudo-Component Model of Oil Evaporation on the Sea Surface Sensitivity to Variations of Parameters. Processes in Geomedia, 2(24), pp. 662–674 (in Russian).
- Zatsepa, S.N., Ivchenko, A.A., Solbakov, V.V., Korotenko, K.A. and Stanovoy, V.V., 2018. Phenomenological Model of Natural Dispersion of an Oil Spill in the Sea and Some Associated Parameterization Processes. Oceanology, 58(6), pp. 769–777. https://doi.org/10.1134/S0001437018060152
- Zatsepa, S.N., Ivchenko, A.A., Solbakov, V.V., Korotenko, K.A. and Stanovoy, V.V., 2018. The Role of Wind Waves in Oil Spill Natural Dispersion in the Sea. Oceanology, 58(4), pp. 517–524. https://doi.org/10.1134/S0001437018040136
- Zatsepa, S.N., Ivchenko, А.А. Zhuravel', V.I. and Solbakov, V.V., 2023. Investigation of the Behavior of Thin Films of Petroleum Products on the Sea Surface by Mathematical Modeling. Vesti Gazovoy Nauki, 3(55), pp. 101–117 (in Russian).
- Zatsepa, S.N., Ivchenko, А.А., Zhuravel, V.I. and Solbakov, V.V., 2020. On the Interpretation of the Results of Monitoring of Pollution of the Sea Surface, Taking into Account the Behavior of Thin Oil Films. In: Proceedings of the 18th All-Russian Open Conference “Current Issues in Remote Sensing of the Earth from Space”: Electronic Proceedings. Moscow: Institute of Space Research, Russian Academy of Sciences, p. 80 (in Russian).