Curvelet-based migration preconditioning

TitleCurvelet-based migration preconditioning
Publication TypeConference
Year of Publication2008
AuthorsPeyman P. Moghaddam, Cody R. Brown, Felix J. Herrmann
Conference NameSEG Technical Program Expanded Abstracts
Volume27
Page2211-2215
Month11
OrganizationSEG
KeywordsPresentation, SEG, SLIM
Abstract

In this paper, we introduce a preconditioner for seismic imaging–-i.e., the inversion of the linearized Born scattering operator. This preconditioner approximately corrects for the ‘‘square root’’ of the normal–-i.e., the demigration-migration operator. This approach consists of three parts, namely (i) a left preconditoner, defined by a fractional time integration designed to make the migration operator zero order, and two right preconditioners that apply (ii) a scaling in the physical domain accounting for a spherical spreading, and (iii) a curvelet-domain scaling that corrects for spatial and reflector-dip dependent amplitude errors. We show that a combination of these preconditioners lead to a significant improvement of the convergence for iterative least-squares solutions to the seismic imaging problem based on reverse-time migration operators.

URLhttps://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2008/moghaddam08SEGcbm/moghaddam08SEGcbm.pdf
DOI10.1190/1.3059325
Presentation

https://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2008/mog...

Citation Keymoghaddam2008SEGcbm