In this paper, linear oblique wave incident to a thin arc-shaped permeable barrier and an array of permeable circular cylinders was studied analytically. Two unique research objectives of this work include, considering the thickness for permeable material and the wavefield inside surrounded region by the permeable structure. The conventional boundary element method (BEM) is used to solve the governing equations of the problem. The mathematical relation between Bessel functions leads to representing the BEM-related integrals in the Fourier modes of Hankel function. This approach is useful as the singular integrals are accounted indirectly. Two basic geometries made by the permeable material are studied, including an arc-shaped and a circular geometry. The first geometry can represent a wave-breaking barrier in shallow water, while the latter can represent a floating fish farm in deep water. For the floating fish farm, the study is extended to the interaction between an array of cages. To quantify the amount of wave energy passed through the object, the Energy Transmission Index or ETI concept is introduced. ETI can be used as an indicator for permeable barriers performance.

The results indicate that ETI is mostly a function of permeability rather than the wavenumber. In addition, the imaginary part of the permeability parameter plays an essential role in the problem of wave incident to permeable barrier, and it is necessary to be determined with enough accuracy. Furthermore, the shear force and bending moment on the base of the barrier and drift force and heeling moment on circular cylinders are studied. The results show, the drift force decreases as permeability and wavenumber increase. The results of this research are useful in the design of rigid circular offshore aquaculture fish cages and coastal barriers.

在本文中，线性斜波入射到薄弧形渗透屏障和渗透圆柱阵列的分析研究。这项工作的两个独特的研究目标包括，考虑渗透材料的厚度和渗透结构包围区域内的波场。常规边界元法（BEM）用于求解问题的控制方程。Bessel 函数之间的数学关系导致在 Hankel 函数的傅立叶模式中表示 BEM 相关积分。这种方法很有用，因为奇异积分是间接计算的。研究了由可渗透材料制成的两种基本几何形状，包括弧形和圆形几何形状。第一个几何图形可以代表浅水中的破浪屏障，而后者可以代表深水中的漂浮养鱼场。对于浮动养鱼场，该研究扩展到一系列网箱之间的相互作用。为了量化通过物体的波浪能量，引入了能量传输指数或 ETI 概念。ETI 可用作渗透屏障性能的指标。

结果表明 ETI 主要是渗透率的函数而不是波数的函数。此外，渗透率参数的虚部在波入射到渗透屏障的问题中起着至关重要的作用，需要有足够的精度来确定。此外，还研究了障碍物基础上的剪力和弯矩以及圆柱体上的漂移力和横倾力矩。结果表明，随着渗透率和波数的增加，漂移力减小。这项研究的结果可用于刚性圆形近海水产养殖鱼笼和沿海屏障的设计。