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dc.contributor.authorAlkhalifah, Tariq Ali
dc.date.accessioned2016-02-28T06:44:39Z
dc.date.available2016-02-28T06:44:39Z
dc.date.issued2011-02-14
dc.identifier.citationAlkhalifah T (2011) Wavefield dependency on virtual shifts in the source location. Geophysical Prospecting 59: 627–634. Available: http://dx.doi.org/10.1111/j.1365-2478.2010.00944.x.
dc.identifier.issn0016-8025
dc.identifier.doi10.1111/j.1365-2478.2010.00944.x
dc.identifier.urihttp://hdl.handle.net/10754/600184
dc.description.abstractThe wavefield dependence on a virtual shift in the source location can provide information helpful in velocity estimation and interpolation. However, the second-order partial differential equation (PDE) that relates changes in the wavefield form (or shape) to lateral perturbations in the source location depends explicitly on lateral derivatives of the velocity field. For velocity models that include lateral velocity discontinuities this is problematic as such derivatives in their classical definition do not exist. As a result, I derive perturbation partial differential wave equations that are independent of direct velocity derivatives and thus, provide possibilities for wavefield shape extrapolation in complex media. These PDEs have the same structure as the wave equation with a source function that depends on the background (original source) wavefield. The solutions of the perturbation equations provide the coefficients of a Taylor's series type expansion for the wavefield. The new formulas introduce changes to the background wavefield only in the presence of lateral velocity variation or in general terms velocity variations in the perturbation direction. The accuracy of the representation, as demonstrated on the Marmousi model, is generally good. © 2011 European Association of Geoscientists & Engineers.
dc.description.sponsorshipI thank Sergey Fomel for many useful discussions on this subject. I thank KAUST for its support.
dc.publisherWiley
dc.subjectLaplacian
dc.subjectPerturbation
dc.subjectWavefield
dc.titleWavefield dependency on virtual shifts in the source location
dc.typeArticle
dc.identifier.journalGeophysical Prospecting
dc.contributor.institutionKing Abdulaziz City for Science and Technology, Riyadh, Saudi Arabia
dc.date.published-online2011-02-14
dc.date.published-print2011-07


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