Acoustic wavefield evolution as a function of source location perturbation

Handle URI:
http://hdl.handle.net/10754/555751
Title:
Acoustic wavefield evolution as a function of source location perturbation
Authors:
Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
The wavefield is typically simulated for seismic exploration applications through solving the wave equation for a specific seismic source location. The direct relation between the form (or shape) of the wavefield and the source location can provide insights useful for velocity estimation and interpolation. As a result, I derive partial differential equations that relate changes in the wavefield shape to perturbations in the source location, especially along the Earth's surface. These partial differential equations have the same structure as the wave equation with a source function that depends on the background (original source) wavefield. The similarity in form implies that we can use familiar numerical methods to solve the perturbation equations, including finite difference and downward continuation. In fact, we can use the same Green's function to solve the wave equation and its source perturbations by simply incorporating source functions derived from the background field. The solutions of the perturbation equations represent the coefficients of a Taylor's series type expansion of the wavefield as a function of source location. As a result, we can speed up the wavefield calculation as we approximate the wavefield shape for sources in the vicinity of the original source. The new formula introduces changes to the background wavefield only in the presence of lateral velocity variation or in general terms velocity variations in the perturbation direction. The approach is demonstrated on the smoothed Marmousi model.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Acoustic wavefield evolution as a function of source location perturbation 2010, 183 (3):1324 Geophysical Journal International
Journal:
Geophysical Journal International
Issue Date:
Dec-2010
DOI:
10.1111/j.1365-246X.2010.04800.x
Type:
Article
ISSN:
0956540X
Additional Links:
http://gji.oxfordjournals.org/cgi/doi/10.1111/j.1365-246X.2010.04800.x
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.accessioned2015-05-26T07:09:09Zen
dc.date.available2015-05-26T07:09:09Zen
dc.date.issued2010-12en
dc.identifier.citationAcoustic wavefield evolution as a function of source location perturbation 2010, 183 (3):1324 Geophysical Journal Internationalen
dc.identifier.issn0956540Xen
dc.identifier.doi10.1111/j.1365-246X.2010.04800.xen
dc.identifier.urihttp://hdl.handle.net/10754/555751en
dc.description.abstractThe wavefield is typically simulated for seismic exploration applications through solving the wave equation for a specific seismic source location. The direct relation between the form (or shape) of the wavefield and the source location can provide insights useful for velocity estimation and interpolation. As a result, I derive partial differential equations that relate changes in the wavefield shape to perturbations in the source location, especially along the Earth's surface. These partial differential equations have the same structure as the wave equation with a source function that depends on the background (original source) wavefield. The similarity in form implies that we can use familiar numerical methods to solve the perturbation equations, including finite difference and downward continuation. In fact, we can use the same Green's function to solve the wave equation and its source perturbations by simply incorporating source functions derived from the background field. The solutions of the perturbation equations represent the coefficients of a Taylor's series type expansion of the wavefield as a function of source location. As a result, we can speed up the wavefield calculation as we approximate the wavefield shape for sources in the vicinity of the original source. The new formula introduces changes to the background wavefield only in the presence of lateral velocity variation or in general terms velocity variations in the perturbation direction. The approach is demonstrated on the smoothed Marmousi model.en
dc.relation.urlhttp://gji.oxfordjournals.org/cgi/doi/10.1111/j.1365-246X.2010.04800.xen
dc.rightsArchived with thanks to Geophysical Journal International © 2010 The Authors Geophysical Journal International © 2010 RASen
dc.subjectNumerical solutionsen
dc.subjectWave propagationen
dc.subjectAcoustic propertiesen
dc.titleAcoustic wavefield evolution as a function of source location perturbationen
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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