Q-compensated full waveform inversion using constant-Q wave equation

Zhiguang Xue, Junzhe Sun, Sergey Fomel, Tieyuan Zhu

Research output: Contribution to journalConference article

16 Citations (Scopus)

Abstract

The gradient in time-domain full waveform inversion (FWI) is usually constructed by taking the cross-correlation of the forward propagated source wavefield and the back propagated data residual wavefield at each time step. In the real Earth, propagating waves can be attenuated due to the anelatic nature of subsurface media, which results in an attenuated gradient for FWI. Replacing the attenuated true gradient with a Q-compensated gradient can accelerate the convergence rate of the inversion process. We propose to use phase-dispersion and amplitudeloss decoupled constant-Q wave equation to formulate a viscoacoustic FWI, and use this wave equation to generate a Qcompensated gradient, which has the recovered amplitude while preserving the correct kinematics. We construct an exact adjoint operator in the discretized form using the lowrank wave extrapolation technique, and implement the gradient compensation by reversing the sign of the amplitude-loss term in both forward and adjoint operators. This leads to a Q-dependent gradient preconditioning method. Numerical tests with synthetic data demonstrate that the visco-acoustic FWI using constant- Q wave equation is capable of producing high-quality velocity models, and that the proposed Q-compensated gradient can accelerate its convergence rate.

Original languageEnglish (US)
Pages (from-to)1063-1068
Number of pages6
JournalSEG Technical Program Expanded Abstracts
Volume35
DOIs
StatePublished - Jan 1 2016
EventSEG International Exposition and 86th Annual Meeting, SEG 2016 - Dallas, United States
Duration: Oct 16 2011Oct 21 2011

Fingerprint

wave equation
Wave equations
wave equations
waveforms
inversions
gradients
Gradient methods
Extrapolation
Kinematics
Acoustics
Earth (planet)
operators
acoustics
preconditioning
kinematics
reversing
inversion
cross correlation
preserving
extrapolation

All Science Journal Classification (ASJC) codes

  • Geotechnical Engineering and Engineering Geology
  • Geophysics

Cite this

Xue, Zhiguang ; Sun, Junzhe ; Fomel, Sergey ; Zhu, Tieyuan. / Q-compensated full waveform inversion using constant-Q wave equation. In: SEG Technical Program Expanded Abstracts. 2016 ; Vol. 35. pp. 1063-1068.
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Q-compensated full waveform inversion using constant-Q wave equation. / Xue, Zhiguang; Sun, Junzhe; Fomel, Sergey; Zhu, Tieyuan.

In: SEG Technical Program Expanded Abstracts, Vol. 35, 01.01.2016, p. 1063-1068.

Research output: Contribution to journalConference article

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AB - The gradient in time-domain full waveform inversion (FWI) is usually constructed by taking the cross-correlation of the forward propagated source wavefield and the back propagated data residual wavefield at each time step. In the real Earth, propagating waves can be attenuated due to the anelatic nature of subsurface media, which results in an attenuated gradient for FWI. Replacing the attenuated true gradient with a Q-compensated gradient can accelerate the convergence rate of the inversion process. We propose to use phase-dispersion and amplitudeloss decoupled constant-Q wave equation to formulate a viscoacoustic FWI, and use this wave equation to generate a Qcompensated gradient, which has the recovered amplitude while preserving the correct kinematics. We construct an exact adjoint operator in the discretized form using the lowrank wave extrapolation technique, and implement the gradient compensation by reversing the sign of the amplitude-loss term in both forward and adjoint operators. This leads to a Q-dependent gradient preconditioning method. Numerical tests with synthetic data demonstrate that the visco-acoustic FWI using constant- Q wave equation is capable of producing high-quality velocity models, and that the proposed Q-compensated gradient can accelerate its convergence rate.

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