SH-wavefield simulation for a laterally heterogeneous whole-Earth model using the pseudospectral method

SH-wavefield simulation for a laterally heterogeneous whole-Earth model using the pseudospectral method
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使用伪谱方法对横向非均质全地球模型进行 SH 波场模拟

DOI:
10.1007/s11430-011-4244-8
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发表时间:
2011-07
影响因子:
5.7
通讯作者:
Takenaka Hiroshi
Takenaka Hiroshi
中科院分区:
地球科学2区
文献类型:
--
作者:
Wang YanBin;Takenaka Hiroshi

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我们提出了一个方案来模拟SH波传播的全地球模型与任意横向不均匀性采用傅立叶伪谱方法。波动方程是在二维柱坐标系中定义的,模型是通过地球的一个大圆。在波数域中通过乘法计算波动方程中的空间导数,并且通过快速傅立叶变换执行空间域和波数域之间的转换。由于傅立叶伪谱方法的高精度和高速度,该方案使我们能够计算一个短波长的全球SH波场与准确的波形和到达时间的模型与非均匀性,可以近似为方位对称。与基于轴对称模型的二维模拟方法相比,本方案中震源的实现更为方便。我们计算了初步参考地球模型的全球SH波场,以确定在地球中传播的各种地震相的产生,反射和折射。应用核幔边界以上低速扰动的非均匀全球模式,分析了横向非均匀性对全球SH波传播的影响。
We present a scheme to simulate SH-wave propagation in a whole-Earth model with arbitrary lateral heterogeneities employing the Fourier pseudospectral method. Wave equations are defined in two-dimensional cylindrical coordinates and the model is taken through a great circle of the Earth. Spatial derivatives in the wave equations are calculated in the wavenumber domain by multiplication, and the transformation between spatial and wavenumber domains is performed via fast Fourier transformation. Because of the high accuracy and high speed of the Fourier pseudospectral method, the scheme enables us to calculate a short-wavelength global SH-wavefield with accurate waveforms and arrival times for models with heterogeneities that can be approximated as azimuthally symmetric. Comparing with two-dimensional simulation methods based on an axisymmetric model, implementing the seismic source in the present scheme is more convenient. We calculated the global SH-wavefield for the preliminary reference Earth model to identify the generation, reflection and refraction of various seismic phases propagating in the Earth. Applications to a heterogeneous global model with low-velocity perturbation above the core-mantle boundary were conducted to analyze the effect of lateral heterogeneity on global SH-wave propagation.
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