FWI with Optimal Transport: a 3D Implementation and an Application on a Field Dataset

Poncet, Raphaël; Messud, Jérémie; Bader, Markus; Lambaré, Gilles; Viguier, G.; Hidalgo, C.

doi:10.3997/2214-4609.201801029

Cited by 20 publications

(30 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The appealing property from OT distance is its convexity with respect to translation and dilation, which makes it a very good candidate to produce a convex misfit function for FWI. To date, various OT‐based misfit function implementations have been applied, mainly to different benchmark datasets from the oil & gas exploration field (e.g., Chen & Peter, 2018; He et al., 2019; Métivier et al., 2016b; Pladys et al., 2020; Poncet et al., 2018; Provenzano et al., 2020; Sun & Alkhalifah, 2019).…”

Section: Introductionmentioning

confidence: 99%

Graph‐Space Optimal Transport Concept for Time‐Domain Full‐Waveform Inversion of Ocean‐Bottom Seismometer Data: Nankai Trough Velocity Structure Reconstructed From a 1D Model

2021

View full text Add to dashboard Cite

Full-waveform inversion (FWI) has proven to be a powerful tool able to reconstruct high-resolution velocity models of the subsurface. Rapid development of this technology during past decades has led to its successful application in imaging of various geological targets, from near-surface to global-scale endpoints (see Tromp, 2019 for a recent review). In particular, the oil & gas industry (stimulated by the hydrocarbon market) is currently routinely applying FWI at the exploration scale for high-resolution imaging of reservoirs (

show abstract

Section: Introductionmentioning

confidence: 99%

Graph‐Space Optimal Transport Concept for Time‐Domain Full‐Waveform Inversion of Ocean‐Bottom Seismometer Data: Nankai Trough Velocity Structure Reconstructed From a 1D Model

2021

View full text Add to dashboard Cite

show abstract

“…For a 3-D acquisition across vast surface area, how to apply the KR-OT approach is still an open question. A straightforward way consists in applying the method to multiple 2-D slices of the 3-D shot gathers, as performed by Poncet et al (2018) and Messud & Sedova (2019). However, if the receiver sampling along the cross-line is sufficiently dense, it might be interesting to apply fully 3-D KR-OT (Métivier et al 2016a).…”

Section: Discussion a N D P E R S P E C T I V Ementioning

confidence: 99%

“…is the difference between synthetic and observed shot gather. BLip 1 is the space of Bounded 1-Lipschitz functions defined in the (x r , t) shot-gather space (Métivier et al 2016b;Poncet et al 2018) by…”

Section: Theorymentioning

confidence: 99%

Land seismic multiparameter full waveform inversion in elastic VTI media by simultaneously interpreting body waves and surface waves with an optimal transport based objective function

Brossier

Métivier

et al. 2019

Geophysical Journal International

View full text Add to dashboard Cite

SUMMARY Land seismic multiparameter full waveform inversion in anisotropic media is challenging because of high medium contrasts and surface waves. With a data-residual least-squares objective function, the surface wave energy usually masks the body waves and the gradient of the objective function exhibits high values in the very shallow depths preventing from recovering the deeper part of the earth model parameters. The optimal transport objective function, coupled with a Gaussian time-windowing strategy, allows to overcome this issue by more focusing on phase shifts and by balancing the contributions of the different events in the adjoint-source and the gradients. We first illustrate the advantages of the optimal transport function with respect to the least-squares one, with two realistic examples. We then discuss a vertical transverse isotropic (VTI) example starting from a quasi 1-D isotropic initial model. Despite some cycle-skipping issues in the initial model, the inversion based on the windowed optimal transport approach converges. Both the near-surface complexities and the variations at depth are recovered.

show abstract

“…The processing consists of applying source-receiver reciprocity to decrease the number of sources to 2046, then removing noisy traces, de-spiking, and filtering the data to a 2.5-5 Hz frequency band. While the KR approach can be formally applied to the entire 3D shotgathers, it is easier, from implementation and computational cost point of view, to apply it to multiple 2D lines (Poncet et al, 2018). The Poisson's solver which is used within the KR approach also requires to work on a regular discretization of the shot gather.…”

Section: Gsot Strategymentioning

confidence: 99%

Assessment of optimal transport based FWI: 3D OBC Valhall case study

Pladys

Brossier

Irnaka

et al. 2019

SEG Technical Program Expanded Abstracts 2019

View full text Add to dashboard Cite

Optimal transport (OT) distances have been recently proposed to mitigate the non-convexity of the L 2 misfit function in FWI. However, OT is only applicable to positive and normalized data. To overcome this difficulty, we have proposed two strategies, one based on the Kantorovich-Rubinstein (KR) norm, which extends a specific OT distance to the comparison of signed data, the other based on the interpretation of the discrete graph space of the data through OT. In this study, we compare these two approaches for the inversion of 3D OBC data from the Valhall field, using a visco-acoustic time-domain FWI algorithm. Starting from a crude initial velocity model, both KR and graph space approaches provide more reliable results than L 2 , the best results being obtained with the graph space approach. Thanks to a recently developed numerical approach, the computational cost increase is limited in this case to approximately 15 % compared to standard L 2 FWI.

show abstract

FWI with Optimal Transport: a 3D Implementation and an Application on a Field Dataset

Cited by 20 publications

References 0 publications

Graph‐Space Optimal Transport Concept for Time‐Domain Full‐Waveform Inversion of Ocean‐Bottom Seismometer Data: Nankai Trough Velocity Structure Reconstructed From a 1D Model

Graph‐Space Optimal Transport Concept for Time‐Domain Full‐Waveform Inversion of Ocean‐Bottom Seismometer Data: Nankai Trough Velocity Structure Reconstructed From a 1D Model

Land seismic multiparameter full waveform inversion in elastic VTI media by simultaneously interpreting body waves and surface waves with an optimal transport based objective function

Assessment of optimal transport based FWI: 3D OBC Valhall case study

Contact Info

Product

Resources

About