| 引用本文: | 张光莹,曾新吾.伪谱法模拟各向异性/非均匀介质中弹性波的传播.[J].国防科技大学学报,2002,24(3):18-22.[点击复制] |
| ZHANG Guangying,ZENG Xinwu.Numerical Modeling of Elastic Waves Propagating in the Anisotropic/Heterogeneous Media by the Pseudo-Spectral Method[J].Journal of National University of Defense Technology,2002,24(3):18-22[点击复制] |
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| 伪谱法模拟各向异性/非均匀介质中弹性波的传播 |
| 张光莹, 曾新吾 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 数值模拟一直是研究弹性波在复杂介质中传播问题的有效手段之一。各向异性问题和非均匀问题日益引起关注。伪谱法是近年来发展较快、建立在弹性波动方程基础上的一种数值模拟方法。它的主要特征是将波动方程中的空间微分变换成频域中的乘法运算，从而只需要较少的空间格点就可以得到较高的计算精度。介绍了伪谱法及其稳定性条件；编制了一个适合于小型工作站或者PC机的模拟地震波在二维各向异性均匀/非均匀介质中传播的数值模拟程序，模拟了各向异性/非均匀介质中弹性波传播理论，分析了裂纹以及各向异性界面对波传播的影响。 |
| 关键词: 数值模拟 伪谱法 稳定性 各向异性 非均匀 |
| DOI： |
| 投稿日期：2002-01-05 |
| 基金项目:国家自然科学基金项目(40074025)；教育部优秀青年教师资助计划项目 |
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| Numerical Modeling of Elastic Waves Propagating in the Anisotropic/Heterogeneous Media by the Pseudo-Spectral Method |
| ZHANG Guangying, ZENG Xinwu |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Numerical modeling has long been recognized to be a powerful method of studying the wave propagation in media with complicated structures. More interests are aroused in the anisotropic problem and heterogeneous problem. The Pseudo-Spectral Method (PSM), with which global spatial derivatives are computed by multiplication in Fourier domain, is a new numerical modeling method based on the elastic wave equation developed in recent years. The main advantage of PSM is that it requires a relatively small number of grid points to achieve a specified accuracy. The PSM and its stability are presented. A 2-D PSM code based on workstation or PC is developed to model the 2-D elastic waves propagation in anisotropic/heterogeneous media. |
| Keywords: numerical modeling Pseudo-Spectral Method stability anisotropy heterogeneous |
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