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dc.contributor.authorAlkhalifah, Tariq Ali
dc.date.accessioned2015-08-03T09:46:27Z
dc.date.available2015-08-03T09:46:27Z
dc.date.issued2012-05
dc.identifier.citationAlkhalifah, T. (2012). Prestack traveltime approximations. GEOPHYSICS, 77(3), U31–U37. doi:10.1190/geo2011-0465.1
dc.identifier.issn00168033
dc.identifier.doi10.1190/geo2011-0465.1
dc.identifier.urihttp://hdl.handle.net/10754/562172
dc.description.abstractMany of the explicit prestack traveltime relations used in practice are based on homogeneous (or semi-homogenous, possibly effective) media approximations. This includes the multifocusing, based on the double square-root (DSR) equation, and the common reflection stack (CRS) approaches. Using the DSR equation, I constructed the associated eikonal form in the general source-receiver domain. Like its wave-equation counterpart, it suffers from a critical singularity for horizontally traveling waves. As a result, I recasted the eikonal in terms of the reflection angle, and thus, derived expansion based solutions of this eikonal in terms of the difference between the source and receiver velocities in a generally inhomogenous background medium. The zero-order term solution, corresponding to ignoring the lateral velocity variation in estimating the prestack part, is free of singularities and can be used to estimate traveltimes for small to moderate offsets (or reflection angles) in a generally inhomogeneous medium. The higher-order terms include limitations for horizontally traveling waves, however, we can readily enforce stability constraints to avoid such singularities. In fact, another expansion over reflection angle can help us avoid these singularities by requiring the source and receiver velocities to be different. On the other hand, expansions in terms of reflection angles result in singularity free equations. For a homogenous background medium, as a test, the solutions are reasonably accurate to large reflection and dip angles. A Marmousi example demonstrated the usefulness and versatility of the formulation. © 2012 Society of Exploration Geophysicists.
dc.publisherSociety of Exploration Geophysicists
dc.subjectPrestack
dc.subjectTraveltime
dc.subjectVelocity analysis
dc.titlePrestack traveltime approximations
dc.typeArticle
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.contributor.departmentSeismic Wave Analysis Group
dc.identifier.journalGeophysics
kaust.personAlkhalifah, Tariq Ali


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