Journal ArticleDOI
Building good starting models for full-waveform inversion using adaptive matching filtering misfit
Hejun Zhu,Sergey Fomel +1 more
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TLDR
In this paper, a misfit function based on adaptive matching filtering (AMF) was proposed to solve cycle skipping and local minima in full waveform inversion (FWI).Abstract:
We have proposed a misfit function based on adaptive matching filtering (AMF) to tackle challenges associated with cycle skipping and local minima in full-waveform inversion (FWI). This AMF is designed to measure time-varying phase differences between observations and predictions. Compared with classical least-squares waveform differences, our misfit function behaves as a smooth, quadratic function with a broad basin of attraction. These characters are important because local gradient-based optimization approaches used in most FWI schemes cannot guarantee convergence toward true models if misfit functions include local minima or if the starting model is far away from the global minimum. The 1D and 2D synthetic experiments illustrate the advantages of the proposed misfit function compared with the classical least-squares waveform misfit. Furthermore, we have derived adjoint sources associated with the proposed misfit function and applied them in several 2D time-domain acoustic FWI experiments. Nume...read more
Citations
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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
Full Waveform Inversion and the Truncated Newton Method
TL;DR: This study investigates the desirability of applying a truncated Newton method to FWI and suggests that the inverse Hessian operator plays a crucial role in the parameter reconstruction, as it should help to mitigate finite-frequency effects and to better remove artifacts arising from multiscattered waves.
Journal ArticleDOI
Analysis of optimal transport and related misfit functions in full-waveform inversion
Yunan Yang,Björn Engquist +1 more
TL;DR: In this paper, new misfit functions for matching simulated and measured data have recently been introduced to enable the use of full waveform inversion in seismic imaging, which is a powerful computational tool for seismic imaging.
Journal ArticleDOI
Improving full waveform inversion by wavefield reconstruction with the alternating direction method of multipliers
TL;DR: It is shown that IR-WRI is similar to a penalty method in which data and sources are updated at each iteration by the running sum of the data and source residuals of previous iterations, and converges to a more accurate minimizer with a smaller number of iterations than WRI.
References
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Journal ArticleDOI
Inversion of seismic reflection data in the acoustic approximation
TL;DR: In this paper, the nonlinear inverse problem for seismic reflection data is solved in the acoustic approximation, which is based on the generalized least squares criterion, and it can handle errors in the data set and a priori information on the model.
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
Updating Quasi-Newton Matrices With Limited Storage
TL;DR: An update formula which generates matrices using information from the last m iterations, where m is any number supplied by the user, and the BFGS method is considered to be the most efficient.
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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An overview of full-waveform inversion in exploration geophysics
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