The offset-midpoint traveltime pyramid in 3D transversely isotropic media with a horizontal symmetry axis

Qi Hao, Alexey Stovas, Tariq Ali Alkhalifah

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Analytic representation of the offset-midpoint traveltime equation for anisotropy is very important for prestack Kirchhoff migration and velocity inversion in anisotropic media. For transversely isotropic media with a vertical symmetry axis, the offset-midpoint traveltime resembles the shape of a Cheops’ pyramid. This is also valid for homogeneous 3D transversely isotropic media with a horizontal symmetry axis (HTI). We extended the offset-midpoint traveltime pyramid to the case of homogeneous 3D HTI. Under the assumption of weak anellipticity of HTI media, we derived an analytic representation of the P-wave traveltime equation and used Shanks transformation to improve the accuracy of horizontal and vertical slownesses. The traveltime pyramid was derived in the depth and time domains. Numerical examples confirmed the accuracy of the proposed approximation for the traveltime function in 3D HTI media.
Original languageEnglish (US)
Pages (from-to)T51-T62
Number of pages1
JournalGEOPHYSICS
Volume80
Issue number1
DOIs
StatePublished - Dec 30 2014

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