This paper investigates solitary wave diffraction around concentric porous cylindrical structure in front of a vertical wall, where the exterior cylinder is permeable and the interior cylinder is impermeable. This problem is transformed into an issue of bi-directional incident waves diffraction around two concentric cylindrical systems based on the image theory. An analytical solution of the problem is obtained by applying the eigenfunction expansion approach and Graf's addition theorem. Unlike previous studies using Airy wave, this paper uses solitary wave as incident wave. The hydrodynamic loads and wave elevations on the concentric cylindrical system are calculated and compared with existing work. An excellent agreement is obtained between the model and data. Parametric studies on porosity, annular spacing, incident wave angle, distance between the concentric structure and wall were also explored. The results indicated that wave loads on the exterior cylinder near a vertical wall could reach twice as large as the force on it in open water, while the magnitudes of wave loads on the interior cylinder are similar for the two cases. In addition, we compared the modelling results of wave surface elevations using solitary wave and Airy waves. It shows that the amplitude of the wave surface elevations caused by the solitary wave is significantly higher than that of the Airy wave, which means the wave effects on offshore structures will be underestimated when using the Airy wave model in the same shallow water conditions.

本文研究了在垂直壁前的同心多孔圆柱结构周围的孤立波衍射，其中外圆柱是可渗透的，而内圆柱是不透水的。这个问题转化为基于像论的两个同心圆柱系统的双向入射波衍射问题。通过应用本征函数展开法和格拉夫加法定理，得到了该问题的解析解。与以往使用艾里波的研究不同，本文使用孤立波作为入射波。计算了同心圆柱系统上的水动力载荷和波浪高程，并与现有工作进行了比较。在模型和数据之间获得了极好的一致性。孔隙率、环形间距、入射波角的参数研究，还探索了同心结构和墙壁之间的距离。结果表明，在靠近垂直壁面的外圆柱上的波浪载荷可以达到在开阔水域中所受力的两倍，而内圆柱上的波浪载荷大小在两种情况下相似。此外，我们比较了使用孤立波和艾里波的波面高程建模结果。结果表明，孤立波引起的波面高程幅度明显高于艾里波，这意味着在相同浅水条件下使用艾里波模型时，波浪对海上结构的影响会被低估。结果表明，在靠近垂直壁面的外圆柱上的波浪载荷可以达到在开阔水域中所受力的两倍，而内圆柱上的波浪载荷大小在两种情况下相似。此外，我们比较了使用孤立波和艾里波的波面高程建模结果。结果表明，孤立波引起的波面高程幅度明显高于艾里波，这意味着在相同浅水条件下使用艾里波模型时，波浪对海上结构的影响会被低估。结果表明，在靠近垂直壁面的外圆柱上的波浪载荷可以达到在开阔水域中所受力的两倍，而内圆柱上的波浪载荷大小在两种情况下相似。此外，我们比较了使用孤立波和艾里波的波面高程建模结果。结果表明，孤立波引起的波面高程幅度明显高于艾里波，这意味着在相同浅水条件下使用艾里波模型时，波浪对海上结构的影响会被低估。我们比较了使用孤波和艾里波的波面高程建模结果。结果表明，孤立波引起的波面高程幅度明显高于艾里波，这意味着在相同浅水条件下使用艾里波模型时，波浪对海上结构的影响会被低估。我们比较了使用孤波和艾里波的波面高程建模结果。结果表明，孤立波引起的波面高程幅度明显高于艾里波，这意味着在相同浅水条件下使用艾里波模型时，波浪对海上结构的影响会被低估。