Full-waveform inversion (FWI) is an iterative nonlinear waveform matching procedure subject to wave-equation constraint. FWI is highly nonlinear when the wave-equation constraint is enforced at each iteration. To mitigate nonlinearity, wavefield-reconstruction inversion (WRI) expands the search space by relaxing the wave-equation constraint...
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January 1, 2019 (v1)Journal articleUploaded on: December 4, 2022
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March 2020 (v1)Journal article
Wavefield reconstruction inversion (WRI) mitigates cycle skipping in full-waveform inversion by computing wavefields that do not exactly satisfy the wave equation to match data with inaccurate velocity models. We refer to these wavefields as data assimilated wavefields because they are obtained by combining the physics of wave propagation and...
Uploaded on: December 4, 2022 -
September 16, 2019 (v1)Conference paper
Wavefield Reconstruction Inversion (WRI) extends the linear regime of Full Waveform Inversion (FWI) by relaxing the wave equation with a feedback term to the data during wavefield simulation before updating the subsurface model by minimizing the source residuals this relaxation generates. Wavefield reconstruction and parameter estimation are...
Uploaded on: December 4, 2022 -
May 1, 2023 (v1)Journal article
Full-waveform inversion (FWI) is a nonlinear optimization problem that addresses the estimation of subsurface model parameters by matching the predicted to the observed seismograms. We formulate FWI as a constrained optimization problem in which the regularization term is minimized subject to the nonlinear data matching constraints. Unlike...
Uploaded on: July 9, 2023 -
July 1, 2020 (v1)Journal article
International audience
Uploaded on: December 4, 2022 -
2021 (v1)Journal article
International audience
Uploaded on: December 4, 2022 -
January 2021 (v1)Journal article
Full-waveform inversion (FWI) is a nonlinear PDE constrained optimization problem which seeks to estimate the constitutive parameters of a medium by fitting waveforms. Among these parameters, attenuation needs to be taken into account in viscous media to exploit the full potential of FWI. Attenuation is easily implemented in the frequency...
Uploaded on: December 4, 2022 -
August 1, 2019 (v1)Journal article
Full-waveform inversion (FWI) is a waveform matching procedure, which can provide a subsurface model with a wavelength-scale resolution. However, this high resolution makes FWI prone to cycle skipping, which drives the inversion to a local minimum when the initial model is not accurate enough. Other sources of non-linearities and ill-posedness...
Uploaded on: December 4, 2022 -
January 1, 2022 (v1)Journal article
The search space of full-waveform inversion (FWI) can be extended via a relaxation of the wave equation to increase the linear regime of the inversion. This wave-equation relaxation is implemented by solving jointly (in a least-squares sense) the wave equation weighted by a penalty parameter and the observation equation such that the...
Uploaded on: December 3, 2022 -
February 2020 (v1)Journal article
Full waveform inversion (FWI) is an iterative nonlinear waveform matching procedure, which seeks to reconstruct unknown model parameters from partial waveform measurements. The nonlinear and ill-posed nature of FWI requires sophisticated regularization techniques to solve it. In most applications, the model parameters may be described by...
Uploaded on: December 4, 2022 -
November 1, 2019 (v1)Journal article
Full waveform inversion (FWI) is a nonlinear waveform matching procedure, which suffers from cycle skipping when the initial model is not kinematically accurate enough. To mitigate cycle skipping, wavefield reconstruction inversion (WRI) extends the inversion search space by computing wavefields with a relaxation of the wave equation in order...
Uploaded on: December 4, 2022 -
December 1, 2021 (v1)Journal article
Partial differential equation (PDE) constrained optimization problems such as seismic full waveform inversion (FWI) frequently arise in the geoscience and related fields. For such problems, many observations are usually gathered by multiple sources, which form the right-hand-sides of the PDE constraint. Solving the inverse problem with such...
Uploaded on: December 3, 2022 -
February 28, 2022 (v1)Journal article
Efficient frequency-domain Full Waveform Inversion (FWI) of long-offset node data can be performed with a few frequencies. The seismic response of these frequencies can be computed with compact finite-difference stencils on regular Cartesian grid with direct or hybrid direct/iterative methods. Compactness, which is necessary to mitigate the...
Uploaded on: December 3, 2022 -
January 1, 2022 (v1)Journal article
The augmented Lagrangian (AL) method provides a flexible and efficient framework for solving extended-space full-waveform inversion (FWI), a constrained nonlinear optimization problem whereby we seek model parameters and wavefields that minimize the data residuals and satisfy the wave-equation constraint. The AL-based wavefield reconstruction...
Uploaded on: December 3, 2022 -
July 1, 2023 (v1)Journal article
Frequency-domain simulation of seismic waves plays an important role in seismic inversion, but it remains challenging in large models. The recently proposed physics-informed neural network (PINN), as an effective deep-learning method, has achieved successful applications in solving a wide range of partial differential equations (PDEs), and...
Uploaded on: July 9, 2023 -
January 12, 2024 (v1)Journal article
Extended-source full-waveform inversion (ES-FWI) first computes wavefields with data-driven source extensions such that the simulated data in inaccurate velocity models match the observed counterpart sufficiently well to prevent cycle skipping. Then, the source extensions are minimized to update the model parameters toward the true medium. This...
Uploaded on: August 22, 2024 -
September 2022 (v1)Journal article
Efficient frequency-domain full-waveform inversion (FWI) of long-offset node data can be designed with a few discrete frequencies, which lead to modest data volumes to be managed during the inversion process. Moreover, attenuation effects can be straightforwardly implemented in the forward problem without the computational overhead. However, 3D...
Uploaded on: February 22, 2023 -
2023 (v1)Journal article
Full Waveform Inversion can be made immune to cycle skipping by matching the recorded data arbitrarily well from inaccurate subsurface models. To achieve this goal, the simulated wavefields can be computed in an extended search space as the solution of an overdetermined problem aiming at jointly satisfying the wave equation and fitting the data...
Uploaded on: July 9, 2023 -
January 4, 2023 (v1)Publication
Frequency-domain Full Waveform Inversion (FWI) is potentially amenable to efficient processing of full-azimuth long-offset stationary-recording seabed acquisition carried out with sparse layout of ocean bottom nodes (OBNs) and broadband sources because the inversion can be performed with a few discrete frequencies. However, computing...
Uploaded on: February 22, 2023