Diffraction-angle filtering of gradient for acoustic full-waveform inversion

Ju-Won Oh, Jiubing Cheng, Dong-Joo Min

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Seismic full-waveform inversion (FWI) estimates the subsurface velocity structures by reducing data misfit between observed and modeled data. Simultaneous matching of transmitted and reflected waves in seismic FWI causes different updates of different wavenumber components of a given model depending on the diffraction angle between incident and diffracted rays. Motivated by the inverse scattering imaging condition and elastic full-waveform inversion, we propose applying a diffraction-angle filtering technique in acoustic FWI, which enables us to separate transmission and reflection energy in the partial derivative wavefields. The diffraction-angle filtering is applied to the virtual source, which is the model parameter perturbation acting as a source for the partial derivative wavefields. The diffraction-angle filtering consists of two diffraction-angle filters (DAF), DAF-I and DAF-II. DAF-I, which is derived from the particle acceleration of the incidence wavefields, suppresses energies at either small or large diffraction angles by simply changing the sign of the weighting factor. DAF-I is exactly identical to the conventional inverse scattering approach. DAF-II, which is derived from the artificial shear strain of the incident P-wave, additionally suppresses energies at intermediate diffraction angles. With this mechanism, we can design various types of diffraction-angle filtering to control the updates of wavenumber components of the misfit gradient with respect to the P-wave velocity. For the synthetic Marmousi-II data and real ocean-bottom seismic data from the North Sea, we demonstrate that the diffraction-angle filtering enables us to control low-, intermediate- and high-wavenumber components of the gradient direction.
Original languageEnglish (US)
Pages (from-to)1-87
Number of pages87
StatePublished - Dec 7 2020
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-12-14
Acknowledgements: Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (NRF 2019K1A3A1A80113341; NRF-2020R111A3073977) and the Nuclear Safety Research Program through the Korea Foundation Of Nuclear Safety (KoFONS), granted financial resource from the Nuclear Safety and Security Commission (NSSC), Republic of Korea (No. 1705010). International collaboration was supported byYoung Scientist Visiting Fellowship from State Key Laboratory of Marine Geology in Tongji
University, China. We thank Tariq Alkhalifah in King Abdullah University of Science andTechnology for the fruitful discussion. The Volve data are released by Equinor and formerVolve license Partners under Creative Commons License in Oct, 2018. We greatly appreciate their efforts to disclose the Volve data. The views on the Volve data expressed in this paper arethe views of the authors and do not necessarily reflect the views of Equinor and former Volvelicense Partners. We thank Jeffrey Shragge, Anatoly Baumstein and two anonymous reviewersfor helpful discussion and fruitful suggestions.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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