Abstract This study provides empirical formulae of wave loads on quasi-ellipsoid-type foundations coaxially surrounded by perforated breakwaters. The variation of the wave load on each structure versus wave number is characterized as a polygonal line by four key points. The coordinates of these points can be directly obtained from the empirical formulae, which are developed by using mathematical models in the framework of potential theory. The empirical formulae can consider not only the geometric parameters and porous parameters but also the wave exposures and wave numbers. Comparison with the experimental results indicates that the empirical formulae can effectively determine the wave loads on the models under different wave scenarios. Further investigation is conducted on circular foundations, which are the most distinct case of quasi-ellipsoid-type foundations. The wave load magnitudes and phase differences are investigated by experimental and theoretical methods with the consideration of porous parameters and geometric parameters. The experimental results also validate the occurrence of the “phase jump” when the wave loads on the breakwater are minimum. Empirical formulae for the distribution of the “phase jump” points are also presented.

中文翻译：

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圆柱形穿孔防波堤环绕的拟椭球型地基波浪荷载经验公式

摘要 本研究提供了穿孔防波堤同轴环绕的准椭球型地基波浪荷载的经验公式。每个结构上的波浪载荷随波数的变化被表征为由四个关键点组成的折线。这些点的坐标可以直接从经验公式中获得，经验公式是在势论框架下利用数学模型开发的。经验公式不仅可以考虑几何参数和多孔参数，还可以考虑波浪暴露和波数。与实验结果的比较表明，经验公式可以有效地确定不同波浪情景下模型上的波浪载荷。在圆形基础上进行了进一步的调查，这是准椭球型基础最明显的例子。考虑到多孔参数和几何参数，通过实验和理论方法研究了波浪载荷大小和相位差。实验结果还验证了当防波堤上的波浪载荷最小时“相位跳跃”的发生。还提供了“相位跳跃”点分布的经验公式。