- journal_title：Geophysics
- Contributor：Jian Mao ; Ru-Shan Wu ; Jing-Huai Gao
- Publisher：Society of Exploration Geophysicists
- Date：2010-
- Format：text/html
- Language：en
- Identifier：10.1190/1.3454361
- journal_abbrev：Geophysics
- issn：0016-8033
- volume：75
- issue：4
- firstpage：S163
- section：SEISMIC MIGRATION
We have developed an efficient method of directional illumination analysis in the local angle domain using local exponential frame beamlets. The space-domain wavefields with different shot-receiver geometries are decomposed into the local angle domain by using the local exponential beamlets, which form a tight frame with the redundancy ratio two and are implemented by a linear combination of local cosine and local sine transforms. Because of the fast algorithms of the local cosine/sine transforms, this method is much more efficient than the previously used decomposition methods in directional illumination analysis, such as the local slant-stacking method and the Gabor-Daubechies frame method. The results of directional illumination (DI) maps and the acqui-sition dip responses (ADR) for the 2D SEG/EAGE salt model and the 45-shot 3D SEG/EAGE model demonstrated the validity and feasibility of our method. Compared with the illumination results using local slant-stacking decomposition, the new method produces illumination maps of similar quality, but it does so a few times faster. Furthermore, because of its high computational efficiency and saving in memory usage, the new method makes the 3D directional illumination analysis readily applicable in the industry.