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Discrete Dynamics in Nature and Society
Volume 2018 (2018), Article ID 2736102, 22 pages
Research Article

Mathematical Modeling of Marine Oil Spills in the Luanjiakou District, near the Port of Yantai

State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, 135 Yaguan Rd. N., Jinnan District, Tianjin 300350, China

Correspondence should be addressed to Xingchen Tang

Received 5 September 2017; Revised 21 November 2017; Accepted 19 December 2017; Published 17 January 2018

Academic Editor: Seenith Sivasundaram

Copyright © 2018 Daming Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a simulation method for oil spills in a multi-island area. The simulation considers three parts, which consist of the spreading of an oil slick on its edge as well as the diffusion and drift under dynamic actions, the evaporation and spreading thickness of an oil slick in its interior, and the adsorption and emulsification near shorelines and islands. The Euler-Lagrange method is adopted to track the spill location and particles positions on the edge of oil slicks. A mathematical model of marine oil spills is established for the Luanjiakou District of the Port of Yantai. The flow field verification shows that the BIAS of tidal level, flow velocity, and flow direction is below ±10 cm, 0.11 m/s, and ±2°, respectively, and the oil spill verification captures satisfactory results. Hence, the proposed model could reproduce the oil spill process in this region. Then, we simulate oil spills under various operating conditions. It is concluded that the transport of oil slicks is mainly influenced by flood/ebb currents, whereas the wind plays a major role in the drift and thickness of oil slicks. The study provides an important reference to controlling and handling of accidental oil spills.