A transversely isotropic medium with a tilted symmetry axis normal to the reflector

Tariq Ali Alkhalifah, Paul C. Sava

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

The computational tools for imaging in transversely isotropic media with tilted axes of symmetry (TTI) are complex and in most cases do not have an explicit closed-form representation. Developing such tools for a TTI medium with tilt constrained to be normal to the reflector dip (DTI) reduces their complexity and allows for closed-form representations. The homogeneous-case zero-offset migration in such a medium can be performed using an isotropic operator scaled by the velocity of the medium in the tilt direction. For the nonzero-offset case, the reflection angle is always equal to the incidence angle, and thus, the velocities for the source and receiver waves at the reflection point are equal and explicitly dependent on the reflection angle. This fact allows for the development of explicit representations for angle decomposition as well as moveout formulas for analysis of extended images obtained by wave-equation migration. Although setting the tilt normal to the reflector dip may not be valid everywhere (i.e., on salt flanks), it can be used in the process of velocity model building, in which such constrains are useful and typically are used. © 2010 Society of Exploration Geophysicists.
Original languageEnglish (US)
Pages (from-to)A19-A24
Number of pages1
JournalGeophysics
Volume75
Issue number3
DOIs
StatePublished - May 2010

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

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