Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying Deconvolution

The classical least-squares migration (LSM) translates seismic imaging into a data-fitting optimization problem to obtain high-resolution images. However, the classical LSM is highly dependent on the precision of seismic wavelet and velocity models, and thus it suffers from an unstable convergence a...

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Main Authors: Bo Li, Minao Sun, Chen Xiang, Yingzhe Bai
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/5/2361
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author Bo Li
Minao Sun
Chen Xiang
Yingzhe Bai
author_facet Bo Li
Minao Sun
Chen Xiang
Yingzhe Bai
author_sort Bo Li
collection DOAJ
description The classical least-squares migration (LSM) translates seismic imaging into a data-fitting optimization problem to obtain high-resolution images. However, the classical LSM is highly dependent on the precision of seismic wavelet and velocity models, and thus it suffers from an unstable convergence and excessive computational costs. In this paper, we propose a new LSM method in the imaging domain. It selects a spatial-varying point spread function to approximate the accurate Hessian operator and uses a high-dimensional spatial deconvolution algorithm to replace the common-used iterative inversion. To keep a balance between the inversion precision and the computational efficiency, this method is implemented based on the strategy of regional division, and the point spread function is computed using only one-time demigration/migration and inverted individually in each region. Numerical experiments reveal the differences in the spatial variation of point spread functions and highlight the importance to use a space-varying deconvolution algorithm. A 3D field case in Northwest China can demonstrate the effectiveness of this method on improving spatial resolution and providing better characterizations for small-scale fracture and cave units of carbonate reservoirs.
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spelling doaj.art-40b42b64d02e48a08b2f6b85877802582023-11-23T22:39:32ZengMDPI AGApplied Sciences2076-34172022-02-01125236110.3390/app12052361Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying DeconvolutionBo Li0Minao Sun1Chen Xiang2Yingzhe Bai3SINOPEC Geophysical Research Institute, Nanjing 210003, ChinaSINOPEC Geophysical Research Institute, Nanjing 210003, ChinaSINOPEC Geophysical Research Institute, Nanjing 210003, ChinaSINOPEC Geophysical Research Institute, Nanjing 210003, ChinaThe classical least-squares migration (LSM) translates seismic imaging into a data-fitting optimization problem to obtain high-resolution images. However, the classical LSM is highly dependent on the precision of seismic wavelet and velocity models, and thus it suffers from an unstable convergence and excessive computational costs. In this paper, we propose a new LSM method in the imaging domain. It selects a spatial-varying point spread function to approximate the accurate Hessian operator and uses a high-dimensional spatial deconvolution algorithm to replace the common-used iterative inversion. To keep a balance between the inversion precision and the computational efficiency, this method is implemented based on the strategy of regional division, and the point spread function is computed using only one-time demigration/migration and inverted individually in each region. Numerical experiments reveal the differences in the spatial variation of point spread functions and highlight the importance to use a space-varying deconvolution algorithm. A 3D field case in Northwest China can demonstrate the effectiveness of this method on improving spatial resolution and providing better characterizations for small-scale fracture and cave units of carbonate reservoirs.https://www.mdpi.com/2076-3417/12/5/2361least-squares migrationimaging domainpoint spread functionglobal space-varying deconvolution
spellingShingle Bo Li
Minao Sun
Chen Xiang
Yingzhe Bai
Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying Deconvolution
Applied Sciences
least-squares migration
imaging domain
point spread function
global space-varying deconvolution
title Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying Deconvolution
title_full Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying Deconvolution
title_fullStr Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying Deconvolution
title_full_unstemmed Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying Deconvolution
title_short Least-Squares Reverse Time Migration in Imaging Domain Based on Global Space-Varying Deconvolution
title_sort least squares reverse time migration in imaging domain based on global space varying deconvolution
topic least-squares migration
imaging domain
point spread function
global space-varying deconvolution
url https://www.mdpi.com/2076-3417/12/5/2361
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AT minaosun leastsquaresreversetimemigrationinimagingdomainbasedonglobalspacevaryingdeconvolution
AT chenxiang leastsquaresreversetimemigrationinimagingdomainbasedonglobalspacevaryingdeconvolution
AT yingzhebai leastsquaresreversetimemigrationinimagingdomainbasedonglobalspacevaryingdeconvolution