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切比雪夫伪谱法模拟地震波场
Chebyshev Pseudospectral Method for Seismic Wavefield Modeling
【摘要】 介绍了切比雪夫伪谱法以及快速傅立叶算法在其中的应用,并用切比雪夫伪谱法模拟二维有限区域弹性介质地震波场。分别计算了兰姆问题,均匀介质中心爆破源问题,介质内部的速度异常体问题以及各种分界面情况下地震首波传播问题。
【Abstract】 The pseudospectral methods,especial Fourier method and Chebyshev method are introduced first.Then the first order 2-D elastodynamic seismic wavefield equation based on velocity-stress by the Chebyshev pseudospectral method is solved,and in the compatation the Lame problem,the problem of demolition source in center of homogeneous media,the velocity anomaly intermedia,and the more important problem,headwave propagation in multi-layered media are simulated.At last,we try to get a similar pseudospectral method to Chebyshev method.
【关键词】 切比雪夫伪谱法;
傅立叶伪谱法;
快速傅立叶算法;
地震波场;
首波;
【Key words】 Chebyshev pseudospectral method; Fourier pseudospectral method; Fast Fourier arithmetic; Seismic wavefield; Headwave;
【Key words】 Chebyshev pseudospectral method; Fourier pseudospectral method; Fast Fourier arithmetic; Seismic wavefield; Headwave;
【基金】 国家自然科学基金(40474012,40521002)
- 【文献出处】 西北地震学报 ,Northwestern Seismological Journal , 编辑部邮箱 ,2007年01期
- 【分类号】P315.3
- 【被引频次】17
- 【下载频次】336