Beating level-set methods for 3D seismic data interpolation: a primal-dual alternating approach

Fuente: arXiv
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Autori principali: Kumar, Rajiv, López, Oscar, Davis, Damek, Aravkin, Aleksandr Y., Herrmann, Felix J.
Natura: Preprint
Pubblicazione: 2016
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author Kumar, Rajiv
López, Oscar
Davis, Damek
Aravkin, Aleksandr Y.
Herrmann, Felix J.
author_facet Kumar, Rajiv
López, Oscar
Davis, Damek
Aravkin, Aleksandr Y.
Herrmann, Felix J.
contents Acquisition cost is a crucial bottleneck for seismic workflows, and low-rank formulations for data interpolation allow practitioners to `fill in' data volumes from critically subsampled data acquired in the field. Tremendous size of seismic data volumes required for seismic processing remains a major challenge for these techniques. We propose a new approach to solve residual constrained formulations for interpolation. We represent the data volume using matrix factors, and build a block-coordinate algorithm with constrained convex subproblems that are solved with a primal-dual splitting scheme. The new approach is competitive with state of the art level-set algorithms that interchange the role of objectives with constraints. We use the new algorithm to successfully interpolate a large scale 5D seismic data volume, generated from the geologically complex synthetic 3D Compass velocity model, where 80% of the data has been removed.
format Preprint
id arxiv_https___arxiv_org_abs_1607_02624
institution arXiv
publishDate 2016
record_format arxiv
spellingShingle Beating level-set methods for 3D seismic data interpolation: a primal-dual alternating approach
Kumar, Rajiv
López, Oscar
Davis, Damek
Aravkin, Aleksandr Y.
Herrmann, Felix J.
Optimization and Control
Machine Learning
62F35, 65K10
Acquisition cost is a crucial bottleneck for seismic workflows, and low-rank formulations for data interpolation allow practitioners to `fill in' data volumes from critically subsampled data acquired in the field. Tremendous size of seismic data volumes required for seismic processing remains a major challenge for these techniques. We propose a new approach to solve residual constrained formulations for interpolation. We represent the data volume using matrix factors, and build a block-coordinate algorithm with constrained convex subproblems that are solved with a primal-dual splitting scheme. The new approach is competitive with state of the art level-set algorithms that interchange the role of objectives with constraints. We use the new algorithm to successfully interpolate a large scale 5D seismic data volume, generated from the geologically complex synthetic 3D Compass velocity model, where 80% of the data has been removed.
title Beating level-set methods for 3D seismic data interpolation: a primal-dual alternating approach
topic Optimization and Control
Machine Learning
62F35, 65K10
url https://arxiv.org/abs/1607.02624