Multi-Scattering of Plane P Waves by Several Fluid-Filled Cavities |
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| Authors: | Ping Xu |
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| Institution: | 1. School of Water and Environment, Zhengzhou University, Zhengzhou, 450001, Henan, People’s Republic of China
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| Abstract: | The conformal mapping method of complex functions and expansion method of wave functions are adopted, the stresses and displacements at the boundary between the cavities and inner fluids are considered as continuous, and then the theoretical solutions are obtained about the scattering problems of incident P waves by several fluid-filled cavities. Two circular cavities are taken as examples, the influences of frequencies of incident P waves, whether there are inner fluids or not and the spacing distances between the two cavities on the scattering amplitudes are studied, and the results reveal that: the scattering amplitudes of two cavities decrease when the distance between the two cavities increase and they reach constants when the spacing distance exceeds 7.5 times of cavities radius, and the inner fluids would absorb part of energy of the scattered waves and the scattering amplitude of the cavities filled with fluids would slightly smaller than those without fluids. |
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