| 基于辛格式离散奇异褶积微分算子的弹性波场模拟 |
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| 引用本文： | 李一琼,李小凡,张美根.基于辛格式离散奇异褶积微分算子的弹性波场模拟[J].地球物理学报,2012,55(5):1725-1731. |
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| 作者姓名： | 李一琼 李小凡 张美根 |
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| 作者单位： | 1. 中国科学院地质与地球物理研究所, 北京 100029;
2. 中国地震局地球物理研究所, 北京 100081 |
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| 基金项目： | 国家自然科学基金重点项目，国家自然科学基金，国家重点基础研究发展计划"973"计划，中国地震局地球物理研究所基本科研业务费专项 |
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| 摘 要： | 本文发展了基于辛格式离散奇异褶积微分算子(SDSCD)的保结构方法模拟弹性波场,求解弹性波动方程时,引入辛差分格式进行时间离散,采用离散奇异褶积微分算子进行空间离散.相比于传统的伪谱方法,该方法提高了计算精度和稳定性.数值结果表明SDSCD方法可以有效地抑制数值频散,为解决大尺度、长时程地震波场模拟问题提供了合适的数值方法.
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| 关 键 词： | 辛算法 离散奇异褶积微分算子 弹性波场模拟 |
| 收稿时间： | 2011-11-03 |
The elastic wave fields modeling by symplectic discrete singular convolution differentiator method |
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| LI Yi-Qiong
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LI Xiao-Fan
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ZHANG Mei-Gen.The elastic wave fields modeling by symplectic discrete singular convolution differentiator method[J].Chinese Journal of Geophysics,2012,55(5):1725-1731. |
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| Authors: | LI Yi-Qiong LI Xiao-Fan ZHANG Mei-Gen |
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| Institution: | 1. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China;
2. Institute of Geophysics, China Earthquake Administration, Beijing 100081, China |
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| Abstract: | In this paper,we introduce a structure-preserving method based on symplectic discrete singular convolution differentiator(SDSCD) for simulating elastic wave fields.In the method presented for solving elastic wave equations,physical space is discretized by singular convolution differentiator,whereas a symplectic difference scheme is used for the time discretization.The computational accuracy and stability of this method have been greatly improved compared with traditional pseudo-spectral method.Numerical results suggest the SDSCD algorithm can suppress effectively numerical dispersion,and it is suitable for modeling the large-scale and long-term seismic wave propagation. |
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| Keywords: | Symplectic algorithm Discrete singular convolution differentiator Elastic wave fields modeling |
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