Using Weibull probability distribution to calibrate prevailing wind applying in oil spill simulation

Badri, M. A.

Using Weibull probability distribution to calibrate prevailing wind applying in oil spill simulation

Document Type : Research Paper

Author

M. A. Badri

Research Ins. for Subsea Sci. & Tech., Isfahan Univ. of Tech., Isfahan, Iran

Abstract

In the Persian Gulf, the major source of oil pollution is related to the transportation of tankers, offshore production and discharges by coastal refineries. The water dynamical field has been obtained using a new hydrodynamic model. Local wind is recognized as the principal driving force combining to the water dynamic field to determine oil drift on the sea surface. The Weibull probability distribution is considered to adjust the prevailing wind obtaining by data from measurements and compared with other data, displaying fairly good conformity. To model the advection and dispersion in the Persian Gulf which is a shallow water area, random walk technique has been used. Comparison of the actual and simulated oil spill trajectory based on real wind field was found acceptable in the Iranian waters.

Keywords

20.1001.1.16059727.2012.13.1.1.8

Main Subjects

Hydrodynamics

References

[1] Hockney, R.W., Estwood, J. W., "Computer Simulation using Particles", McGraw-Hill NY, pp. 640, New York, (1981).

[2] Tkalich, P., Huda, K., and Hoong-Gin, K. Y., "A Multiphase Oil Spill Model", J. Hydro. Res, Vol. 1, No. 2, pp. 115-125, (2003).

[3] Hunter, J. R., "The Application of Lagrangian Particle-tracking Technique to Modeling of Dispersion in the Sea", Numerical Modeling, Applications to Marine Sys. pp. 257-269, (1987).

[4] Najafi, H. S., Noye, B. J., and Teubne M. D., "Spherical-coordinate Numerical Model of the Persian Gulf", Computation Techniques and Applications", CTAC-95, World Scientific, Electronic Proceeding Publication, (1985).

[5] El-Sabh, M. I., and Murty, T. S., "Simulation of the Movement and Dispersion of Oil Slicks in the Arabian Gulf", Natural Hazards, Vol. 1, pp. 197-219, (1988).

[6] Al-Rabeh, A. H., Cekirge, H. M., and Gunay, N., "Modeling the Fate and Transportation of Al- Ahmadi Oil Spill", Water Air and Soil Pollution, Vol. 65, pp. 257-279, (1992).

[7] Venkatesh, S., and Murty, T. S., "Numerical Simulation of the Movement of the 1991 Oil Spill in the Arabian Gulf", Water Air and Soil Pollution, Vol. 74, pp. 211-234, (1994).

[8] Elshorbagy, W., and Elhakeem, A. A., "Risk Assessment Maps of Oil Spill for Major Desalination Plants in the United Arab Emirates", Desalination, Vol. 228, pp. 200-216 (2008).

[9] Sabbagh-Yazdi, S., Zounemat, M., and Kermani, A., "Solution of Depth-averaged Tidal Currents in Persian Gulf on Unstructured Overlapping Finite Volumes", International Journal for Numerical Methods in Fluids, Vol. 55, pp. 81-101, (2007).

[10] Elhakeem, A. A., Elshorbagy, W., and Chebbi, R., "Oil Spill Simulation and Validation in the Arabian (Persian) Gulf with Special Reference to the UAE Coast", Water Air Soil Pollutant, Vol. 184, pp. 243-254, (2007).

[11] Elshorbagy, W., Azam, M., and Taguchi, K., "Hydrodynamic Characterization and Modeling of the Arabian Gulf", Journal of Waterway, Port, Coastal and Ocean Eng., Vol. 132, No. 47, pp. 47-56, (2006).

[12] Rakha, K., Al-Salem, K., and Neelamani, S., "Hydrodynamic Atlas for the Arabian (Persian) Gulf", Journal of Coastal Research, Special Issue, Vol. 50, pp. 550-554, (2007).

[13] Komen, G. J., Cavaleri, L., Donelan, M., Hasselmann, K., Hasselmann, S., and Janssen, P.A.E.M., "Dynamics and Modeling of Ocean Waves", Cambridge University Press, pp. 156, (1995).

[14] Pedlosky, J., "Geophysical Fluid Dynamics", 2^nd edition, Springer-Verlag, pp. 75-80, New York, (1992).

[15] Pugh, D. T., "Tides, Surges and Mean Sea-level", Nutural Environment Research Council, Swindon, UK, John Wiley, (1996).

[16] Wojtaszek, K., "Application of Transport Model for Building Contingency Maps of Oil Spills on the North Sea", Master Thesis, TUDELFT, Delft, (2003).

[17] Zheng, L., Yapa, P.D., "Buoyant Velocity of Spherical and Non-spherical Bubbles/Droplets", Journal of Hydraulic Engineering, ASCE, November, Vol. 11, pp. 825-855, (2000).

[18] Al-Rabeh, A. H., Cekirge, H. M., and Gunay, N., "A Stochastic Simulation Model of Oil Spill Fate and Transport", Applied Mathematics Modeling, Vol. 13, pp. 322-329, (1992).

[19] Korotenko, K.A., Mamedov R.M., and Mooers C.N.K., "Prediction of the Dispersal of Oil Transport in the Caspian Sea Resulting from Continuous Release", Spill Science & Tech. Bul, Vol. 6, pp. 323-339, (2000).

[20] Cohen, Y., Mackay, D., Shiu, W.Y., "Mass Transfer Rates between Oil Slicks and Water", Journal of Chemical Engineering, Vol. 58, pp. 569-574, (1980).

[21] Mackay, D., Paterson, S. and Trudel, K., "A Mathematical Model of Oil Spill Behavior", Environmental Protection Service, Fisheries and Environmental, Canada, (1980).

[22] Fingas, M., Fieldhouse, B., Lerouge, L., Lane, J., and Mullin, J., "Studies of Water-in-oil Emulsions: Energy and Work Threshold as a Function of Temperature", Proceedings, 24th Arctic Marine Oil Spill Program Technical Seminar, Edmonton, Alberta, Environment, Canada, (2001).

[23] Xie, H., Yapa, P.D., and Nakata, K., "Modeling Eemulsification after an Oil Spill in the Sea", Journal of Marine Systems, Vol. 68, pp. 489-506, (2007).

[24] Chao X., and Jothi Shankar N., "Two and Three Dimensional Oil Spill Model for Coastal Waters", Ocean Engineering, Vol. 28, pp. 1557-1573, (2001).

[25] Badri, M.A., and Azimian, A. R., "An Oil Spill Model Based on the Kelvin Wave Theory and Artificial Wind Field for the Persian Gulf", Indian Journal of Marine Sciences, Vol. 39, No. 2, pp. 165-181, (2010).

[26] Lonin, S. A., "Lagrangian Model for Oil Spill Diffusion at Sea", Spill Science & Technology Bulletin, Vol. 5, No. 5/6, pp. 331-336, (1999).