An integral equation method is developed to study the wave interaction with two symmetric permeable plates submerged in a two-layer fluid. The plates are inclined and penetrate the common interface between the layers. The existence of two different wave modes for the incident wave gives rise to two problems. Both of these are tackled by reducing them to a set of coupled hypersingular integral equations of the second kind. Unknown functions of the integral equations are the discontinuities in the potential functions across portions of the plates. These are computed numerically by employing an expansion collocation method. New results for the reflection coefficients and the amount of energy loss are presented by varying several parameters such as porosity, angle of inclination, plate-length, separation between the plates, interface position and density ratio. Known results for two symmetric vertical permeable and impermeable plates, single vertical impermeable and horizontal permeable plates are recovered from the present analysis.

中文翻译：

---

穿界面多孔板的水波散射和能量耗散

开发了一种积分方程方法来研究波浪与浸没在两层流体中的两个对称渗透板的相互作用。板是倾斜的并穿透层之间的公共界面。入射波的两种不同波模式的存在引起两个问题。通过将它们简化为一组耦合的第二类超奇异积分方程来解决这两个问题。积分方程的未知函数是跨板部分的势函数的不连续性。这些是通过采用扩展搭配方法进行数值计算的。反射系数和能量损失量的新结果通过改变孔隙率、倾角、板长度、板之间的间隔、界面位置和密度比。从本分析中恢复了两个对称垂直渗透和不渗透板、单个垂直不渗透和水平渗透板的已知结果。