Journal ArticleDOI
Wave-equation reflection traveltime inversion with dynamic warping and full-waveform inversion
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TLDR
In this article, a wave-equation reflection traveltime inversion (WERTI) was proposed to estimate the time shifts between recorded data and synthetic data in reflection seismology.Abstract:
In reflection seismology, full-waveform inversion (FWI) can generate high-wavenumber subsurface velocity models but often suffers from an objective function with local minima caused mainly by the absence of low frequencies in seismograms. These local minima cause cycle skipping when the low-wavenumber component in the initial velocity model for FWI is far from the true model. To avoid cycle skipping, we discovered a new wave-equation reflection traveltime inversion (WERTI) to update the low-wavenumber component of the velocity model, while using FWI to only update high-wavenumber details of the model. We implemented the low- and high-wavenumber inversions in an alternating way. In WERTI, we used dynamic image warping (DIW) to estimate the time shifts between recorded data and synthetic data. When compared with correlation-based techniques often used in traveltime estimation, DIW can avoid cycle skipping and estimate the time shifts accurately, even when shifts vary rapidly. Hence, by minimizing tr...read more
Citations
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Journal ArticleDOI
Seismic envelope inversion and modulation signal model
Ru-Shan Wu,Jingrui Luo,Bangyu Wu +2 more
TL;DR: In this paper, an envelope fluctuation and decay of seismic records carries ultra low-frequency (ULF) signals that can be used to estimate the long-wavelength velocity structure.
Journal ArticleDOI
Adaptive waveform inversion: Theory
Michael Warner,Lluís Guasch +1 more
TL;DR: Adaptive waveform inversion (AWI) as mentioned in this paper uses least-squares convolutional filters to transform the predicted data into the observed data, and the inversion problem is formulated such that the subsurface model is iteratively updated to force these Wiener filters toward zero-lag delta functions.
Journal ArticleDOI
Measuring the misfit between seismograms using an optimal transport distance: application to full waveform inversion
TL;DR: In this study, a measure of the misfit computed with an optimal transport distance allows to account for the lateral coherency of events within the seismograms, instead of considering each seismic trace independently, as is done generally in full waveform inversion.
Journal ArticleDOI
Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion
TL;DR: In this paper, the quadratic Wasserstein metric is used to measure amplitude differences and global phase shifts, which helps to avoid cycle-skipping issues in full waveform inversion.
Journal ArticleDOI
An optimal transport approach for seismic tomography: application to 3D full waveform inversion
TL;DR: In this paper, the use of a distance based on the Kantorovich-Rubinstein norm is introduced to overcome the local minima of the associated L2 misfit function, which correspond to velocity models matching the data up to one or several phase shifts.
References
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Image registration methods: a survey
Barbara Zitová,Jan Flusser +1 more
TL;DR: A review of recent as well as classic image registration methods to provide a comprehensive reference source for the researchers involved in image registration, regardless of particular application areas.
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Dynamic programming algorithm optimization for spoken word recognition
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Inversion of seismic reflection data in the acoustic approximation
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Journal ArticleDOI
An overview of full-waveform inversion in exploration geophysics
Jean Virieux,Stéphane Operto +1 more
TL;DR: This review attempts to illuminate the state of the art of FWI by building accurate starting models with automatic procedures and/or recording low frequencies, and improving computational efficiency by data-compression techniquestomake3DelasticFWIfeasible.
Journal ArticleDOI
A review of the adjoint-state method for computing the gradient of a functional with geophysical applications
TL;DR: The adjoint-state method as discussed by the authors is a well-known method in the numerical community for computing the gradient of a functional with respect to the model parameters when this functional depends on those model parameters through state variables, which are solutions of the forward problem.
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