Abstract
Vertical transport is critical to the movement of oil spills in seawater. Breaking waves play an important role by developing a well-defined mixing layer in the upper part of the water column. A three-dimensional (3-D) Lagrangian random walk oil spill model was used here to study the influence of sea surface waves on the vertical turbulence movement of oil particles. Three vertical diffusion schemes were utilized in the model to compare their impact on oil dispersion and transportation. The first scheme calculated the vertical eddy viscosity semi-empirically. In the second scheme, the vertical diffusion coefficient was obtained directly from an Eulerian hydrodynamic model (Princeton Ocean Model, POM2k) while considering wave-caused turbulence. The third scheme was formulated by solving the Langevin equation. The trajectories, percentages of oil particles intruding into water, and the vertical distribution structures of oil particles were analyzed for a series of numerical experiments with different wind magnitudes. The results showed that the different vertical diffusion schemes could generate different horizontal trajectories and spatial distributions of oil spills on the sea surface. The vertical diffusion schemes caused different water-intruding and resurfacing oil particle behaviors, leading to different horizontal transport of oil particles at the surface and subsurface of the ocean. The vertical diffusion schemes were also applied to a realistic oil spill simulation, and these results were compared to satellite observations. All three schemes yielded acceptable results, and those of the third scheme most closely simulated the observed data.
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Aamo, O. M., M. Reed, and P. S. Daling, 1993: A laboratory based weathering model: PC version for coupling to transport models. Proc. the 16th Arctic and Marine Oil Spill Program Technical Seminar, Environment Canada, 617–626.
Aamo, O. M., M. Reed, and K. Downing, 1997a: Oil spill contingency and response (OSCAR) model system: Sensitivity studies. Proc. 1997 International Oil Spill Conference, Ft. Lauderdale, 429–438.
Aamo, O. M., M. Reed, and A. Lewis, 1997b: Regional contingency planning using the OSCAR oil spill contingency and response model. Proc. AMOP Seminar, Edmonton Canada, 525–635.
Bennett, J. R., and A. H. Clites, 1987: Accuracy of trajectory calculation in a finite difference circulation model. J. Comput. Phys., 68, 272–282.
Chen, H. Z., D. M. Li, and X. Li, 2007: Mathematical Modeling of Oil Spill on the sea and application of the modeling in DAYA Bay. Journal of Hydrodynamics, 19, 282–291.
Craig, P. D., and M. L. Banner, 1994: Modeling waveenhanced turbulence in the ocean surface layer. J. Phys. Oceanogr., 24, 2546–2559.
Daling, P. S., O. M. Aamo, A. Lewis, and T. Strùm-Kristiansen, 1997: SINTEF/IKU oil-weathering model: Predicting oil properties at sea. Proc. 1997 Oil Spill Conference, API Publication No. 4651, Washington D. C., 297–307.
Delvigne, G. A. L., and C. E. Sweeney, 1988: Natural dispersion of oil. Oil and Chemical Pollution, 4, 281–310.
Delvigne, G. A. L., and L. J. M. Hulsen, 1994: Simplified laboratory measurements of oil dispersion coefficient application in computations of natural oil dispersion. Proc. the 17th Arctic and Marine Oil Spill Program (AMOP) Technical Seminar, Environment Canada, 173–187.
Elliot, A. J., N. Hurford, and C. J. Penn, 1986: Shear diffusion and the spreading of oil slicks. Mar. Pollut. Bull., 17, 308–313.
Forrester, W. D., 1971: Distribution of suspended oil particles following the grounding of the tanker Arrow. Journal of Marine Research, 29, 151–170.
Giovanni, C., and Coauthors, 2011: Hindcast of oil-spill pollution during the Lebanon crisis in the Eastern Mediterranean, July-August 2006. Marine Pollution Bulletin, 62, 140–153.
Guo, W. J., and Y. X. Wang, 2009: A numerical oil spill model based on a hybrid method. Marine Pollution Bulletin, 58, 726–734.
Ichiye, T., 1967: Upper ocean boundary-layer flow determined by dye diffusion. The Physics of Fluids Supplement, S270–277.
Johansen, 1984: The Halten Bank experiment observations and model studies of drift and fate of oil in the marine environment. Proc. the 11th Arctic Marine Oil Spill Program (AMOP) Tech. Seminar, Environment Canada, 18–36.
Liu, Q. Z., C. Z. Zhang, Y. Liu, Y. Li, S. Bai, and J. H. Zhang, 2005a: On the oil-spill forecast system in the Bohai Sea. Marine Forecasts, 22(Suppl.), 70–76.
Liu, Q. Z., J.-H. Zhang, Y. Liu, X. Wang, Y. Li, S. Bai, and H. D. Wu, 2005b: Numerical forecast for the 3-dimensional sea temperature and current in the Bohai Sea. Marine Forecasts, 22(Suppl.), 27–34.
Lonin, S. A., 1999: Lagrangian model for oil spill diffusion at sea. Spill Science and Technology Bulletin, 5, 331–336.
Mackay, D., S. Paterson, and K. Trudel, 1980a: A mathematical model of oil spill behavior. Environment Canada Report EE-7, Ottawa, Ontario, 180pp.
Mackay, D., I. Buist, R. Mascarenhas, and S. Paterson, 1980b: Oil spill processes and models. Environment Canada Report EE-8, Ottawa, Ontario, 165pp.
Matsumoto, K., T. Takanezawa, and M. Ooe, 2000: Ocean tide models developed by assimilating TOPEX/POSEIDON Altimeter data into hydrodynamical model: A global model and a regional model around Japan. Journal of Oceanography, 56, 567–581.
Mellor, G. L., and T. Yamada, 1982: Development of a turbulence closure model for geophysical fluid Problems. Rev. Geophys. Space Phys., 20, 851–875.
Mellor, G. L., and A. F. Blumberg, 2004: Wave breaking and ocean surface layer thermal responds. J. Phys. Oceanogr., 34, 693–698.
Neumann, G., and J. W. Pierson, 1996: Principles of Physical Oceanography, Prentice-Hall Inc., 420pp.
NOAA, 1994: ADIOS, Automated Data Inquiry for Oil Spills, User’s Manual. NOAA/Hazardous Materials Response and Assessment Division, Seattle, Washington, 150pp.
Reed, M., C. Turner, and A. Odulo, 1994: The role of wind and emulsification in modelling oil spill and drifter trajectories. Spill Science and Technology Bulletin, 1 (2), 143–157.
Reed, M., D. French, H. Rines, and H. Rye, 1995a: A three-dimensional oil and chemical spill model for environmental impact assessment. 1995 International Oil Spill Conference, Long Beach, California, 61pp.
Reed, M., O. M. Aamo, and P. S. Daling, 1995b: Quantitative analysis of alternate oil spill response strategies using OSCAR. Spill Science and Technology Bulletin, 2(1), 67–74.
Reed, M., J. Eistein, J. B. Per, and P. S. Daling, 1999: Oil spill modeling towards the close of the 20th Century: Overview of the State of the Art. Spill Science and Technology Bulletin, 5(1), 3–16.
Spaulding, M. L., A. Odulo, and V. S. Kolluru, 1992: A hybrid model to predict the entrainment and subsurface transport of oil. Proc. the 15th Arctic and Marine Oil Spill Program Technical Seminar, Environment Canada, 67–92.
Tkalich, P., and E. S. Chan, 2002: Vertical mixing of oil droplets by breaking waves. Marine Pollution Bulletin, 44, 1219–1229.
Thorpe, S. A., 1984: On the determination of Kv in the near-surface ocean from acoustic measurements of bubbles. Journal of Physical Oceanography, 14, 855–863.
Vethamony, P., K. Sudheesh, S. Jayakumar, R. Manimurali, A. K. Saran, L. H. Sharma, B. Rajan, and M. Srivastava, 2007: Trajectory of an oil spill off Goa, eastern Arabian Sea: Field observations and simulations. Environmental pollution, 148, 438–444.
Wang, J.-H., and Y.-M. Shen, 2010: Modeling oil spills transportation in seas based on unstructured grid, finite-volume, wave-ocean model. Ocean Modelling, 35, 332–344.
Wang, S. D., Y.-M. Shen, Y.-K. Guo, and J. Tang, 2005: Two-dimensional numerical simulation for transport and fate of oil spills in seas. Ocean Engineering, 32, 1556–1571.
Wang, S. D., Y.-M. Shen, Y.-K. Guo, and J. Tang, 2008: Three-dimensional numerical simulation for transport of oil spills in seas. Ocean Engineering, 35, 503–510.
William, J. L., and D. Simecek-Beatty, 2000: The relation of Langmuir Circulation processes to the standard oil spill spreading, dispersion, and transport algorithms. Spill Science & Technology Bulletin, 6(3/4), 247–253.
Xu, H.-Z, J. Lin, J. Shen, and D. X. Wang, 2008: Wind impact on pollutant transport in a shallow estuary. Acta Oceanologica Sinica, 27(3), 147–160.
Youssef, M., and M. Spaulding, 1993: Drift current under the action of wind and waves. Proc.1993 AMOP Seminar, 587–615.
Zhang, B., C. Z. Zhang, and J. Ozer, 1991: SURF-A simulation model for the behavior of oil slicks at sea. Oil Pollution: Environmental Risk Assessment (OPERA), Proc. the OPERA Workshop, Dalian, China, 61–85.
Zhang, Y., and J. P. Zhao, 2007: The estimation of vertical turbulent diffusivity in the surface layer in the Canada Basin. Periodical of Ocean University of China, 37(5), 695–703. (in Chinese)
Zhang, X. F., G. J. Han, D. X. Wang, W. Li, and Z. J. He, 2011: Effect of surface wave breaking on the surface boundary layer of temperature in the Yellow Sea in summer. Ocean Modelling, 38, 267–279
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Li, Y., Zhu, J. & Wang, H. The impact of different vertical diffusion schemes in a three-dimensional oil spill model in the Bohai Sea. Adv. Atmos. Sci. 30, 1569–1586 (2013). https://doi.org/10.1007/s00376-012-2201-x
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DOI: https://doi.org/10.1007/s00376-012-2201-x