The offset-midpoint traveltime pyramid in transversely isotropic media

T. Alkhalifah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

72 Scopus citations


Prestack Kirchhoff time migration for transversely isotropic media with a vertical symmetry axis (VTI media) is implemented using an offset-midpoint traveltime equation, Cheop's pyramid equivalent equation for VTI media. The derivation of such an equation for VTI media requires approximations that pertain to high frequency and weak anisotropy. Yet the resultant offset-midpoint traveltime equation for VTI media is highly accurate for even strong anisotropy. It is also strictly dependent on two parameters: NMO velocity and the anisotropy parameter, η. It reduces to the exact offset-midpoint traveltime equation for isotropic media when η = 0. In vertically inhomogeneous media, the NMO velocity and η parameters in the offset-midpoint traveltime equation are replaced by their effective values: the velocity is replaced by the rms velocity and η is given by a more complicated equation that includes summation of the fourth power of velocity.

Original languageEnglish (US)
Pages (from-to)1316-1325
Number of pages10
Issue number4
StatePublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Geochemistry and Petrology


Dive into the research topics of 'The offset-midpoint traveltime pyramid in transversely isotropic media'. Together they form a unique fingerprint.

Cite this