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The fast multi-pole indirect BEM for solving high-frequency seismic wave scattering by three-dimensional superficial irregularities

机译:利用三维表面不规则现象解决高频地震波散射的快速多极间接BEM

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Taking full advantage of the indirect boundary element method (IBEM) and fast multi-pole expansion algorithm, this paper proposes a fast multi-pole indirect boundary element method (FM-IBEM) to solve the scattering of high-frequency seismic waves by three-dimensional (3-D) superficial irregularities or heterogeneity in a solid half-space. First, IBEM utilizes an exact dynamic Green's function for a full-space to construct the scattered wave field. Subsequently, by employing plane waves expansion of 3-D potential functions of compressional and shear waves, the multi-pole expansion and local expansion coefficients were derived. Implementation of FM-IBEM is presented in detail for wave-scattering problems. Numerical examples illustrate that the proposed FM-IBEM can reduce the memory required by more than an order of magnitude and also greatly improve the computing efficiency, retaining excellent accuracy as well. Ultimately, several high-frequency plane wave scattering problems of 3-D superficial irregularities in a solid half-space are illustrated, and several important scattering characteristics are described based on the high-precision numerical results.
机译:充分利用间接边界元方法(IBEM)和快速多极点展开算法,提出了一种快速多极间接边界元方法(FM-IBEM),以解决三点高频地震波的散射问题。立体半空间中的三维(3-D)表面不规则或异质性。首先,IBEM利用精确的动态格林函数对全空间构造散射波场。随后,通过利用压缩波和切变波的3-D势函数的平面波展开,导出了多极展开和局部展开系数。针对波散射问题,详细介绍了FM-IBEM的实现。数值算例表明,所提出的FM-IBEM可以将所需的存储空间减少一个数量级以上,并且可以大大提高计算效率,同时还保持出色的精度。最终,说明了在固体半空间中3-D表面不规则形的几个高频平面波散射问题,并基于高精度数值结果描述了几个重要的散射特性。

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