A Kirchhoff Migration of Seismic Data Represented by Orthogonal Matching Pursuit Coefficients

2017 ◽  
Author(s):  
Fabian Sanchez ◽  
Carlos A. Fajardo ◽  
Ana B. Ramirez
Keyword(s):  
Seismic Data ◽  
Matching Pursuit ◽  
Orthogonal Matching Pursuit ◽  
Kirchhoff Migration

scholarly journals Interpolation and denoising of seismic signals using orthogonal matching pursuit algorithm: An aplication in VSP and refraction data

2018 ◽  
Vol 8 (2) ◽  
Author(s):  
Rómulo Sandoval-Flórez ◽  
Jo´se Luis Paredes- Quintero
Keyword(s):  
Seismic Data ◽  
Matching Pursuit ◽  
Approximation Error ◽  
Orthogonal Matching Pursuit ◽  
Sparse Signal ◽  
Seismic Signals ◽  
Signal Representation ◽  
Orthogonal Projections ◽  
Refraction Seismic ◽  
Sparse Signal Representation

An implementation of the Orthogonal Matching Pursuit (OMP) algorithm was used and the results obtained therefrom are presented for simultaneous interpolation and denoising from seismic signals in the framework of sparse signal representation. OMP is an algorithm for sparse signal representation based on orthogonal projections underlying the signal over an over-complete dictionary. This over-complete dictionary was designed using K-times Singular Values Decomposition (K-SVD). In each iteration, OMP calculates a new signal approximation and the approximation error is used in the next iteration to determine the new element. The new element corresponds to the largest magnitude of the inner products between the current residual and the original elements in the dictionary. The implemented algorithm was applied to VSP seismic data and refraction seismic data; results for the application in restored missing traces and denoise signals are presented.

scholarly journals Simultaneous Seismic Sources Separation Based on Matrioshka Orthogonal Matching Pursuit, Application in Oil and Gas Exploration

2020 ◽  
Vol 58 (7) ◽  
pp. 4529-4546
Author(s):  
Ekaterina Shipilova ◽  
Michel Barret ◽  
Matthieu Bloch ◽  
Jean-Luc Boelle ◽  
Jean-Luc Collette
Keyword(s):  
Oil And Gas ◽  
Matching Pursuit ◽  
Orthogonal Matching Pursuit ◽  
Seismic Sources ◽  
Oil And Gas Exploration
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