局部指数标架小波束在复杂介质方向照明分析中的应用  

Directional illumination analysis for complex medium using local exponential frame beamlet

作　　者：毛剑[1,2] 吴如山 高静怀[1] 耿瑜[1,2] 

机构地区：[1]西安交通大学电子与信息工程学院波动与信息研究所,西安710049 [2]Modeling and Imaging Laboratory,University of California

出　　处：《地球物理学报》2010年第12期2955-2963,共9页Chinese Journal of Geophysics

基　　金：国家自然科学基金重点项目(40730424);国家自然科学基金面上项目(40674064);国家"863"高技术项目(2006AA09A102)资助;WTOPI consortium in University of California at Santa Cruz

摘　　要：提出了用局部指数标架小波束进行角度域分解的方法,解决了局部余弦基和局部正弦基缺乏单一方向性的问题.局部指数标架由局部余弦基和局部正弦基线性组合而成,是冗余度为2的紧标架.利用局部余弦变换和局部正弦变换的快速算法,能使基于局部指数标架进行方向照明分析的计算效率较常用的局部倾斜叠加和Gabor-Daubechies标架等方法具有更为明显的优势.通过计算二维SEG/EAGE模型和SIGSBEE模型的方向照明图以及采集系统倾角响应图证实了本文方法的有效性.该方法的高效性使其在三维模型的方向照明分析和大规模的工业应用中具有广阔前景.We develop an efficient wavefield decomposition method in the local-angle-domain using local exponential frame （LEF） beamlets, which overcomes the lack of uniquely defined directional localization of local cosine bases （LCB） and local sine bases （LSB）. The wavefield is decomposed in the local angle domain by using the local exponential beamlet, which is a tight frame with redundancy ratio 2 and implemented by a linear combination of local cosine and sine transforms. As the local cosine/sine transforms have fast algorithms, this method has much better efficiency than the decomposition methods previously used in direetional illumination analysis, such as the local slant stacking or Gabor-Daubechies frame method. The directional illumination （DI） maps and the acquisition dip responses （ADR） for the 2D SEG/EAGE salt model and SIGSBEE model demonstrate the validity and feasibility of our method. Furthermore, because of its high computational efficiency, the new method makes the 3D directional illumination analysis readily applicable in the industry.

关 键 词：局部余弦基 局部指数标架 局部角度域 偏移成像 方向照明分析 采集孔径 

分 类 号：P631[天文地球—地质矿产勘探]