In this paper, the simulation method of sea surface with oil slick, which is adapted to the shallow sea environment is presented, which considers the water depth factor. The spectrum of the sea surface with oil spilling at define-depth water is calculated by TMA spectrum model and Marangoni oil theory model. According to the dispersion relation and Longuet-Higgins model, the displacement of the sea surface with oil spilling at define-depth water is evaluated. The properties of Kitaigorodskii depth function are analyzed. The results show that the displacement of define-depth water is smaller than that of deep water, the roughness of the sea surface with oil spilling at define-depth water is smaller than that of clean sea surface at both the deep and the define-depth water. The results accord with the Marangoni oil theory model.%在考虑水深因素的条件下,提出了一种适合于浅海环境下溢油海面的仿真方法,利用TMA谱模型和Marangoni溢油理论模型,计算有限水深下溢油海面的海浪谱;然后根据海浪的色散关系和Longuet-Higgins海浪模型,计算有限水深下溢油海面的铅直位移;并分析了Kitaigorodskii深度函数的特性.仿真结果表明,有限水深下海面的铅直位移比深水的小,而有限水深下溢油海面的粗糙度要比有限水深下和深水清洁海面的都小,结果与Marangoni溢油理论模型相吻合.
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