Construction of mathematical model and simulation technique for oil pollution problems

本研究旨在建立一数学模式及计算技术，以探讨溢油在岸滩中的漂流、附着及渗透过程。一般来说，稠油C在正常情况下可视为牛顿流体。然而，如果它溢入大海，由于与海水混合和/或其较小分子量组分的挥发，它会形成乳状液。最后，它达到一种类似于漂浮在海面上的慕斯的状态。统一了计算牛顿流体和非牛顿流体运动以及边界面上界面相互作用的控制方程，建立了数值模型。在这个统一模型中，作用在桑迪海滩中油的自由表面上的表面张力以定义在界面上的分布形式被包含。通过控制统一方程中表面张力项的大小，可以计算溢油在桑迪海滩中的渗透深度。

This research project intended to construct a mathematical model and computational techniques to investigate drifting, adhesion and infiltration processes of spilled oil in a surfzone. Generally speaking, heavy oil C can be treated as a Newtonian fluid in a normal situation. However, if it spilled out into the sea, it constitutes an emulsion as a consequence of mixing with seawater and/or volatilization of its smaller molecular weight components. Finally, it reaches a state resembling mousse floating on the sea surface. Governing equations for computing motions for both Newtonian and non-Newtonian fluids and interfacial interactions on the boundary surface are unified to construct a numerical model. In this unified model, surface tension acting on free surfaces of oil in sandy beach is included in the form of distribution defined on the interface. By controlling the magnitude of the surface tension term in the unified equation, it becomes possible to compute the infiltration depth of spilled oil into sandy beach.