1887
Volume 40, Issue 2
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

In general, seismic waveform inversion adopts an objective function based on the -norm. However, waveform inversion using the -norm produces distorted results because the -norm is sensitive to statistically invalid data such as outliers. As an alternative, there have been several studies applying -norm-based objective functions to waveform inversion. Although waveform inversion based on the -norm is known to produce robust inversion results against specific outliers in the time domain, its effectiveness and characteristics are yet to be studied in the frequency domain. The present study proposes an algorithm for -norm-based waveform inversion in the frequency domain. The proposed algorithm employs a structure identical to those used in conventional frequency-domain waveform inversion algorithms that exploit the back-propagation technique, but displays robustness against outliers, which has been confirmed based on inversion of the synthetic Marmousi model. The characteristics and advantages of the -norm were analysed by comparing it with the -norm. In addition, inversion was performed on data containing outliers to examine the robustness against outliers. The effectiveness of removing outliers was verified by using the -norm to calculate the residual wavefield and its spectrum for the data containing outliers.

© 2009 ASEG
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2009-06-01
2026-01-13

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/content/journals/10.1071/EG08103
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Frequency-domain waveform inversion using an l1-norm objective function
Exploration Geophysics 40, 227 (2009); https://doi.org/10.1071/EG08103
/content/journals/10.1071/EG08103
/content/journals/10.1071/EG08103
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  • Article Type: Research Article
Keyword(s): back-propagation algorithm; l1-norm; waveform inversion

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