2010
DOI: 10.1190/1.3454361
|View full text |Cite
|
Sign up to set email alerts
|

Directional illumination analysis using the local exponential frame

Abstract: 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 … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
4
0

Year Published

2011
2011
2021
2021

Publication Types

Select...
7
2

Relationship

1
8

Authors

Journals

citations
Cited by 16 publications
(4 citation statements)
references
References 39 publications
0
4
0
Order By: Relevance
“…For demonstration of combining deep learning and illumination analysis, we employ a simple method (Equations 2.2-2.5) to calculate the illumination, which costs little extra computational time in migration. When the geological model is large and complicated, it is necessary to adopt high-resolution illumination analysis methods, e.g., the local directional approaches (Mao et al, 2010;Yan & Xie, 2016), which require a lot of calculation time. The deep learning method can build the nonlinear mapping between the model and its corresponding single shot illumination result, and therefore efficient illumination analysis can be realized.…”
Section: Illumination Analysis Based On Deep Learningmentioning
confidence: 99%
“…For demonstration of combining deep learning and illumination analysis, we employ a simple method (Equations 2.2-2.5) to calculate the illumination, which costs little extra computational time in migration. When the geological model is large and complicated, it is necessary to adopt high-resolution illumination analysis methods, e.g., the local directional approaches (Mao et al, 2010;Yan & Xie, 2016), which require a lot of calculation time. The deep learning method can build the nonlinear mapping between the model and its corresponding single shot illumination result, and therefore efficient illumination analysis can be realized.…”
Section: Illumination Analysis Based On Deep Learningmentioning
confidence: 99%
“…Illumination analysis in the framework of wave-equation migration is formulated using the solution to migration deconvolution problems (Berkhout, 1982;Yu and Schuster, 2003;Xie et al, 2006;Mao et al, 2010). Migration deconvolution first establishes a linear relationship between a reflectivity distributionr and seismic data d:…”
Section: Construction Of Illumination-based Penaltymentioning
confidence: 99%
“…These methods can be summarized into two main categories. The first group applies the integral method, e.g., the local-plane wave decomposition and wavelet transform based methods [7][8][9], local Fourier transform based methods [10,11]. The second group applies differential methods, e.g., the Poynting vector or gradient vector-based methods [12][13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%