A new traveltime approximation for TI media

Alexey Stovas, Tariq Ali Alkhalifah

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


In a transversely isotropic (TI) medium, the trade-off between inhomogeneity and anisotropy can dramatically reduce our capability to estimate anisotropy parameters. By expanding the TI eikonal equation in power series in terms of the aneliptic parameter η, we derive an efficient tool to estimate (scan) for η in a generally inhomogeneous, elliptically anisotropic background medium. For a homogeneous-tilted transversely isotropic medium, we obtain an analytic nonhyperbolic moveout equation that is accurate for large offsets. In the common case where we do not have well information and it is necessary to resolve the vertical velocity, the background medium can be assumed isotropic, and the traveltime equations becomes simpler. In all cases, the accuracy of this new TI traveltime equation exceeds previously published formulations and demonstrates how η is better resolved at small offsets when the tilt is large.
Original languageEnglish (US)
Pages (from-to)C37-C42
Number of pages1
Issue number4
StatePublished - Jul 2012

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KAUST Repository Item: Exported on 2020-10-01


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