Prestack first-break traveltime tomography using the double-square-root eikonal equation

Siwei Li, Sergey Fomel, Alexander Vladimirsky

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations


Traveltime tomography with shot-based eikonal equation fixes shot positions then relies on inversion to resolve any contradicting information between independent shots and achieve a possible cost-function minimum. On the other hand, the double-square-root (DSR) eikonal equation that describes the whole survey, while providing the same first-arrival travel-times, allows not only the receivers but also the shots to change position and therefore leads to faster convergence in tomo-graphic inversion. The DSR eikonal equation can be solved by a version of the fast-marching method (FMM) with special treatment for its singularity at horizontally traveling waves. For inversion, we use an upwind finite-difference scheme and the adjoint-state method to avoid explicit calculation of Fréchet derivatives. The proposed method generalizes to the 3D case straightforwardly.
Original languageEnglish (US)
Title of host publicationSEG Technical Program Expanded Abstracts 2012
PublisherSociety of Exploration Geophysicists
Number of pages6
ISBN (Print)9781622769452
StatePublished - Oct 25 2012
Externally publishedYes


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