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This research introduces a multiscale self-attention summary network to enhance probabilistic velocity inversion in geophysics, effectively mapping complex 3D common-image gathers into compact embeddings for flow-matching models. By preserving kinematic structure while mitigating background-velocity mismatch, the approach yields more accurate posterior reconstructions and reduced predictive uncertainty compared to direct conditioning on raw data. The work represents a significant advancement in applying advanced deep learning architectures like self-attention and normalizing flows to solve high-dimensional inverse problems in subsurface imaging.
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Self-attention summary networks for subsurface velocity-model building from common-image gathers

arXiv2 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2610.09282v1 Announce Type: new Abstract: Common-image gathers (CIGs) contain physically meaningful information about velocity-model errors through reflector focusing and residual moveout, but in conventional imaging workflows they are typically used only as diagnostic tools. In this work, we propose a multiscale self-attention summary network that maps high-dimensional 3D CIG volumes into compact conditioning embeddings for probabilistic subsurface velocity inversion. These learned embeddings preserve offset-dependent kinematic structure and spatial coherence while reducing variability caused by background-velocity mismatch. Conditioned on these summary embeddings, a flow-matching model learns a transport from a Gaussian source distribution to the posterior distribution of plausible velocity fields. Numerical experiments show that, compared with direct conditioning on raw CIGs, the proposed summary network improves posterior velocity inference. In particular, the multiscale attention design provides greater robustness to background-model mismatch, yielding more accurate posterior reconstructions and lower predictive uncertainty.

Abstract:Common-image gathers (CIGs) contain physically meaningful information about velocity-model errors through reflector focusing and residual moveout, but in conventional imaging workflows they are typically used only as diagnostic tools. In this work, we propose a multiscale self-attention summary network that maps high-dimensional 3D CIG volumes into compact conditioning embeddings for probabilistic subsurface velocity inversion. These learned embeddings preserve offset-dependent kinematic structure and spatial coherence while reducing variability caused by background-velocity mismatch. Conditioned on these summary embeddings, a flow-matching model learns a transport from a Gaussian source distribution to the posterior distribution of plausible velocity fields. Numerical experiments show that, compared with direct conditioning on raw CIGs, the proposed summary network improves posterior velocity inference. In particular, the multiscale attention design provides greater robustness to background-model mismatch, yielding more accurate posterior reconstructions and lower predictive uncertainty.

Machine Learning (cs.LG); Geophysics (physics.geo-ph)

arXiv:2610.09282 [cs.LG]

(or arXiv:2610.09282v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.09282 Focus to learn more arXiv-issued DOI via DataCite

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