Residual extrapolation operators for efficient wavefield construction

Handle URI:
http://hdl.handle.net/10754/554381
Title:
Residual extrapolation operators for efficient wavefield construction
Authors:
Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Solving the wave equation using finite-difference approximations allows for fast extrapolation of the wavefield for modelling, imaging and inversion in complex media. It, however, suffers from dispersion and stability-related limitations that might hamper its efficient or proper application to high frequencies. Spectral-based time extrapolation methods tend to mitigate these problems, but at an additional cost to the extrapolation. I investigate the prospective of using a residual formulation of the spectral approach, along with utilizing Shanks transform-based expansions, that adheres to the residual requirements, to improve accuracy and reduce the cost. Utilizing the fact that spectral methods excel (time steps are allowed to be large) in homogeneous and smooth media, the residual implementation based on velocity perturbation optimizes the use of this feature. Most of the other implementations based on the spectral approach are focussed on reducing cost by reducing the number of inverse Fourier transforms required in every step of the spectral-based implementation. The approach here fixes that by improving the accuracy of each, potentially longer, time step.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Residual extrapolation operators for efficient wavefield construction 2013, 193 (2):1027 Geophysical Journal International
Publisher:
Oxford University Press (OUP)
Journal:
Geophysical Journal International
Issue Date:
27-Feb-2013
DOI:
10.1093/gji/ggt040
Type:
Article
ISSN:
0956-540X; 1365-246X
Additional Links:
http://gji.oxfordjournals.org/cgi/doi/10.1093/gji/ggt040
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2015-05-21T07:00:01Zen
dc.date.available2015-05-21T07:00:01Zen
dc.date.issued2013-02-27en
dc.identifier.citationResidual extrapolation operators for efficient wavefield construction 2013, 193 (2):1027 Geophysical Journal Internationalen
dc.identifier.issn0956-540Xen
dc.identifier.issn1365-246Xen
dc.identifier.doi10.1093/gji/ggt040en
dc.identifier.urihttp://hdl.handle.net/10754/554381en
dc.description.abstractSolving the wave equation using finite-difference approximations allows for fast extrapolation of the wavefield for modelling, imaging and inversion in complex media. It, however, suffers from dispersion and stability-related limitations that might hamper its efficient or proper application to high frequencies. Spectral-based time extrapolation methods tend to mitigate these problems, but at an additional cost to the extrapolation. I investigate the prospective of using a residual formulation of the spectral approach, along with utilizing Shanks transform-based expansions, that adheres to the residual requirements, to improve accuracy and reduce the cost. Utilizing the fact that spectral methods excel (time steps are allowed to be large) in homogeneous and smooth media, the residual implementation based on velocity perturbation optimizes the use of this feature. Most of the other implementations based on the spectral approach are focussed on reducing cost by reducing the number of inverse Fourier transforms required in every step of the spectral-based implementation. The approach here fixes that by improving the accuracy of each, potentially longer, time step.en
dc.publisherOxford University Press (OUP)en
dc.relation.urlhttp://gji.oxfordjournals.org/cgi/doi/10.1093/gji/ggt040en
dc.rightsArchived with thanks to Geophysical Journal International © The Author 2013. Published by Oxford University Press on behalf of The Royal Astronomical Society.en
dc.subjectNumerical solutionsen
dc.subjectFourier analysisen
dc.subjectNumerical approximations and analysisen
dc.subjectBody wavesen
dc.subjectWave propagationen
dc.subjectAcoustic propertiesen
dc.titleResidual extrapolation operators for efficient wavefield constructionen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGeophysical Journal Internationalen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorAlkhalifah, Tariq Alien
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