NUMERICAL MODELING OF OIL AND PETROLEUM PRODUCTS DISTRIBUTION IN CASE OF AN EMERGENCY SPILL ON THE WATER SURFACE

Water pollution is an urgent problem today. The amount of water pollution with petroleum products is growing as oil production increases, oil transportation becomes globalized, and new fields are put into operation. This has a detrimental effect on the ecosystem. The aim of the work is to numerically simulate the spread of oil product on the water surface, which can help improve the efficiency of planning and operational management of measures for the localization and elimination of emergency spills. Different emission rates of the pollutant (gasoline) were considered in order to investigate how the pollution area varies for each speed. To model this problem, the Navier-Stokes equations for an incompressible fluid are used as a mathematical model. The numerical solution of the Navier-Stokes equations was achieved using a SIMPLE algorithm. A test problem was performed to verify the numerical method and the mathematical model. The calculation results were compared with the result of the experiment and showed an excellent match.

1. Siddiqua S., Chaturvedi A. and Gupt R. (2020) Advances in Applied Mathematics, pp. 835–842.

2. Oseni W.Y., Akangbe O.A. and Abhulimen K. (2023) Heliyon, vol. 9, no. 4, https://doi.org/10.1016/j.heliyon.2023.e15412.

3. Agranat V., Romanenko S.V. and Perminov V. (2021) Chemical Engineering Transactions, vol. 88, pp. 481–486. https://doi.org/10.3303/CET2188080

4. Li X., Chen G. and Zhu H. (2017) Marine Pollution Bulletin, vol. 123, no. 1–2, pp. 133–141. https://doi.org/10.1016/j.marpolbul.2017.09.004.

5. Bozkurtoğlu S.N.E. (2017) Marine Pollution Bulletin, vol. 123, no. 1–2, pp. 57–72. https:// doi.org/10.1016/j.marpolbul.2017.09.029.

6. Toz A.C., Koseoglu B. and Sakar C. (2016) Archives of Environmental Protection, vol. 42, no. 4, pp. 22–31. https://doi.org/10.1515/aep-2016-0037.

7. Li D., Tang X., Li Y., Wang X. and Zhang H. (2018) Discrete Dynamics in Nature and Society, vol. 2018, pp. 1–22. https://doi.org/10.1155/2018/2736102.

8. Marques W.C., Stringari C.E., Kirinus E.P., Möller O.O., Toldo E.E. and Andrade M.M. (2017) Applied Ocean Research, vol. 65, pp. 178–191. https://doi.org/10.1016/j.apor.2017.04.007.

9. Liu X., Meng R., Xing Q., Lou M., Chao H. and Bing L. (2015) Ocean & Coastal Management, vol. 108, pp. 140–146. https://doi.org/10.1016/j.ocecoaman.2014.08.016.

10. Guo W.J. and Wang Y.X.(2009) Marine Pollution Bulletin, vol. 58, no.5, pp. 726–734. https://doi.org/10.1016/j.marpolbul.2008.12.015.

11. Belokopytov V.N., Kubryakov A.I. and Pryakhina S.F. (2019) Physical Oceanography, vol. 26, no.1, pp. 3–12. https://doi.org/10.22449/1573-160X-2019-1-3-12.

12. Kordzadze A.A. and Demetrashvili D.I. (2017) Journals of Georgian Geophysical Society, vol. 14, no. 2, pp. 53–74.

13. Dippner W. (2009) Hydrological systems modeling, vol. 2, pp. 204–246.

14. Xu J., Hao Z., Wang Y., Liu J., Liu G. and Zhang Y. (2019) IOP Conference Series: Materials Science and Engineering, vol. 649. https://doi.org/10.1088/1757-899X/649/1/012027.

15. Alsudais N.S. (2016) Texas A&M University – Corpus Christi ProQuest Dissertations Publishing. 16 Juvinao B., Donaldo A. (2016) Diss. ETSI_Energia.

16. Begalishvili N.A., Tsintsadze T., Begalishvili N.N. and Tsintsadze N. (2012) Turkish Journal of Fisheries and Aquatic Sciences, vol. 12, pp. 493–496. https://doi.org/10.4194/1303-2712-v12_2_41.

17. Guandalini R., Agate G. and Moia F. (2017) Energy Procedia, vol. 125, pp. 161–169. https://doi.org/10.1016/j.egypro.2017.08.165.

18. Contreras-Tereza V.K., Salas-de-León D.A., Monreal-Jiménez R. and Monreal-Gómez M.A. (2021) Arabian Journal of Geosciences, vol. 14, no.636. https://doi.org/10.1007/s12517-021-06959-x.

19. Rodrigues P.H.S. and Maiorino J.R. (2016) Brazilian Journal of petroleum and gas, vol. 10, no. 4. http://dx.doi.org/10.5419/bjpg2016-0020.

20. Guo G. and Cheng G. (2019) Process Safety and Environmental Protection, vol. 127, pp. 189– 196. https://doi.org/10.1016/j.psep.2019.05.012

21. Kaushik R. (2015) Advances in Applied Science Research, vol. 6, no.7, pp. 57–64.

22. Chang Y.R. and Chen K.S. (1995) International journal of heat and mass transfer, vol. 38, no. 9, pp. 1693–1703. https://doi.org/10.1016/0017-9310(94)00277-3.

23. Chen K.S. and Hwang J.Y.(1991) AIAA journal, vol. 29, no.3, pp. 353–360. https://doi.org/10.2514/3.10586.