Scattering of seismic waves by three-dimensional large-scale hill topography simulated by a fast parallel IBEM
Scattering of seismic waves by three-dimensional large-scale hill topography simulated by a fast parallel IBEM
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快速并行IBEM模拟三维大尺度丘陵地形地震波散射
DOI：
10.1007/s11803-020-0600-z
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发表时间：
2020-10
影响因子：
2.8
通讯作者：
李杰
中科院分区：
文献类型：
--
作者：
刘中宪;尚策;黄磊;梁建文;李杰
为解决大型三维丘陵地形地震波散射问题，提出了一种新的波场构造方法，改进了广义最小残差(GMRES)算法，建立了OpenMP+MPI并行模型，提出了一种快速并行间接边界元方法(IBEM)。精度和效率的验证表明，该方法可以解决大尺度丘陵地形三维地震响应的宽带波问题，克服了传统IBEM存储量大、效率低的缺点。基于这种新的算法结构，以平面SV波在一个数千米高的大型高斯形山丘上的宽带散射为例，研究了入射频率、入射角度和山丘的高宽比等几个重要参数对计算结果的影响。数值结果表明，近半球形山丘对地面运动的放大作用比窄山丘更为显著。对于低频波，山丘越高，散射效应越明显，山顶附近只有一个单峰。然而，对于高频波，山丘表面出现了位移幅度的快速空间变化。
To solve seismic wave scattering by a large-scale three-dimensional (3-D) hill topography, a fast parallel indirect boundary element method (IBEM) is developed by proposing a new construction method for the wave field, modifying the generalized minimum residual (GMRES) algorithm and constructing an OpenMP plus MPI parallel model. The validations of accuracy and efficiency show that this method can solve 3-D seismic response of a large-scale hill topography for broadband waves, and overcome the weakness of large storage and low efficiency of the traditional IBEM. Based on this new algorithm architecture, taking the broadband scattering of plane SV waves by a large-scale Gaussian-shaped hill of thousands-meters height as an example, the influence of several important parameters is investigated, including the incident frequency, the incident angle and the height-width and length-width ratio of the hill. The numerical results illustrate that the amplification effect on the ground motion by a near-hemispherical hill is more significant than the narrow hill. For low-frequency waves, the scattering effect of the higher hill is more pronounced, and there is only a single peak near the top of the hill. However, for high-frequency waves, rapid spatial variation of displacement amplitude appears on the hill surface.
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