波场逆向外推脊小波成像方法

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英文篇名：Wave Field Extrapolation Imaging Method Based on Ridgelet Transform 中文刊名：数学理论与应用 英文刊名：Mathematical Theory and Applications 作者：袁修贵 ; 胡玲 英文作者：Yuan Xiugui Hu Ling (School of Mathematical Science and Computational Technology ; Central South Uniersity ; Changsha ; 410083) 中文关键词：波场 ; 多尺度 ; Ridgelet变换 ; 地震成像 英文关键词：Wave field Multi-scale Ridgelet Transform Seismic Imaging 出版日期：2006-03-30 机构：中南大学数学科学与计算技术学院,中南大学数学科学与计算技术学院 长沙,410083,长沙,410083 年：2006 期：01 出版单位：数学理论与应用

摘要

地震偏移波动方程成像问题本质上讲是数学逆问题,传统方法求解采用的基函数具有明显的不足,针对其存在的不足,以及研究对象的地质构造特点,利用最新的具有较好光滑性、紧支性的Ridgelet函数基,以及能较好表征地质构造的平面或平面特征的数学分析工具;Ridgelet变换,提出了相应的改进方法,利用变换后系数的较好稀疏性,建立了多尺度脊小波波场递推成像计算方法。
The multi-scale seismic migration inverseextrapolation imaging method,applied ridgelet transform,was proposed in this paper.This method can describe the structure of the wave field more efficiently.The theoretical analysis were showed that this method was more powerful to represent these complex local singularities and more accurate to describe the local characters of the physical geography structure.It is a development of using wavelet analysis in seismic imaging,which often failed when it is used to represent the higher singularities,such as linear (or curvilinear),plane (or curved surface) singularities.Therefore,ridgelet transform can be as a good representation tool of seismic data.

引文

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