| 一维波动方程的奇性反演与小波 |
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| 引用本文： | 李世雄.一维波动方程的奇性反演与小波[J].地球物理学报,1995,38(1):93-104. |
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| 作者姓名： | 李世雄 |
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| 作者单位： | 安徽大学数学系 |
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| 基金项目： | 国家自然科学基金地震科学联合基金 |
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| 摘 要： | 利用线性化的技巧及Ｇ．Ｂｅｙｌｋｉｎ引进的奇性反演的概念，使波动方程非均匀背景场的反演问题有了实质性的进展，但在进行线性化简时，往往会将数值小但奇性高的项略去，因而使反演结果失真，本文利用小波变换这一工具，在化简时保留了奇性的主要部分，从而使反演所得的结果从奇性分析的观点看来更为。
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| 关 键 词： | 波动方程 小波 奇性 反演 地球物理 |
ANALYSIS AND INVERSION OF SINGULARITIES OF ONE-DIMENSIONAL WAVE EQUATIONS AND WAVELETS |
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| LI SHI-XIONG.ANALYSIS AND INVERSION OF SINGULARITIES OF ONE-DIMENSIONAL WAVE EQUATIONS AND WAVELETS[J].Chinese Journal of Geophysics,1995,38(1):93-104. |
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| Authors: | LI SHI-XIONG |
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| Abstract: | Using the technique of linearization and the concept of singularity inversion,inrtoduced by G. Beylkin, the problem of inversion of wave equations in inhomoge neous media has got essential progress in recent years.But during linearization,those terms with strong singularities may be omitted,because they are small in magnitude and these will produce artifacts in inversion.In this paper,using the method of wavelets transform,the main terms in singularities are retained in simplificatnio.So the result is more accurate in point view of singularity analysis. |
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| Keywords: | Wave equation Inversion Singularity Wavelets |
| 本文献已被 CNKI 维普 等数据库收录！ |
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