1887
Volume 53, Issue 5
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

Full waveform inversion (FWI) makes full use of the seismic waveforms to find high-resolution velocity and density models by minimising residuals between the calculated and recorded data. attenuation widely exists in the subsurface media, leading to weak amplitude and misplacement of reflectors. However, the commonly used -compensated FWI (FWI) based on the second-order wave equation has difficulties in simultaneously inverting velocity and density fields. A FWI method based on new first-order viscoacoustic quasi-differential equations is proposed to simultaneously produce velocity and density fields. Based on the adjoint state inversion theory, -compensated forward-propagated operators, adjoint operators, and gradient equations are derived using the newly derived first-order viscoacoustic quasi-differential wave equations. The time-domain multi-scale decomposition method is introduced to update the velocity and density models from a low to a high wavenumber. Numerical examples on an actual work area model and a modified attenuating Marmousi model show that the proposed FWI method produces higher-accuracy velocity and density models with iterations by correcting the attenuation than the conventional acoustic FWI. Even when the model is extremely inaccurate, the proposed QFWI obtains acceptable inversion results. Compared to the conventional FWI, our FWI better inverts velocity field in the case of an inaccurate density model. Finally, we verify the adaptability of our FWI to field data.

© 2021 Australian Society of Exploration Geophysicists
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2022-09-03
2026-01-16

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/content/journals/10.1080/08123985.2021.1993059
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Q-compensated full waveform inversion for velocity and density
Exploration Geophysics 53, 487 (2022); https://doi.org/10.1080/08123985.2021.1993059
/content/journals/10.1080/08123985.2021.1993059
/content/journals/10.1080/08123985.2021.1993059
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  • Article Type: Research Article
Keyword(s): adjoint operators; First-order viscoacoustic equations; gradient equations; multiparameter inversion; Q-compensated full waveform inversion; Q-compensated wavefield continuation operators

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