3D seismic inversion by model parameterization with Fourier coefficients
File(s)
Author(s)
Gao, Fengxia
Rao, Ying
Zhu, Tong
Wang, Yanghua
Type
Journal Article
Abstract
In seismic inversion, the subsurface model can be parameterized by a truncated Fourier series, and the inversion problem is then the inversion of the Fourier coefficients. To improve the efficiency of the evaluation of the Fourier coefficients and the reconstruction of the model from the inverted coefficients, we propose to use the efficient implementation of the fast Fourier transform (FFT) to speed up these two calculations. By using the FFT pair, the computation time for 3D subsurface models with realistic size could be reduced by two to three orders of magnitude compared to conventional methods. When this model parameterization scheme is applied to seismic impedance inversion, we proposed two strategies to further improve the efficiency. One is to invert the Fourier coefficients from small-valued numbers to large-valued numbers, and the other is to divide the seismic data into subgroups and use part of them for the inversion of the Fourier coefficients. Both strategies are helpful for efficient inversion of the Fourier coefficients from the seismic data. Moreover, thanks to this model parameterization scheme, the Fourier coefficients are inverted in a multi-trace manner, and the impedance model reconstructed from the inverted Fourier coefficients has good spatial continuity. The scheme is able to generate stable and continuous impedance models from the inversion of seismic data with missing traces, with affordable computation times.
Date Issued
2023-04-19
Date Acceptance
2023-04-16
Citation
IEEE Transactions on Geoscience and Remote Sensing, 2023, 61, pp.1-16
ISSN
0196-2892
Publisher
Institute of Electrical and Electronics Engineers
Start Page
1
End Page
16
Journal / Book Title
IEEE Transactions on Geoscience and Remote Sensing
Volume
61
Copyright Statement
Copyright © 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
License URL
Subjects
Science & Technology
Physical Sciences
Technology
Geochemistry & Geophysics
Engineering, Electrical & Electronic
Remote Sensing
Imaging Science & Photographic Technology
Engineering
Computational modeling
Three-dimensional displays
Solid modeling
Fourier series
Impedance
Fourier transforms
Data models
Fourier transform
model parameterization
seismic inversion
TOMOGRAPHIC INVERSION
AMPLITUDE DATA
GEOMETRY
0404 Geophysics
0906 Electrical and Electronic Engineering
0909 Geomatic Engineering
Geological & Geomatics Engineering
Publication Status
Published
Article Number
5908916
Date Publish Online
2023-04-19