An Acoustic Wave Equation for Tilted Transversely Isotropic Media

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A finite-difference method for computing the first arrival traveltimes by solving the Eikonal equation in the celerity domain has been developed. This algorithm incorporates the head and diffraction wave. We also adapt a fast sweeping method, which is extremely simple to implement in any number of dimensions, to obtain accurate first arrival times in complex velocity models. The method, which is stable and computationally efficient, can handle instabilities due to caustics and provide head waves traveltimes. Numerical examples demonstrate that the celerity-domain Eikonal solver provides accurate first arrival traveltimes. This new method is three times accurate more than the 2nd-order ... continued below

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Zhang, Linbin; Rector, James W., III & Hoversten, G. Michael March 15, 2005.

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A finite-difference method for computing the first arrival traveltimes by solving the Eikonal equation in the celerity domain has been developed. This algorithm incorporates the head and diffraction wave. We also adapt a fast sweeping method, which is extremely simple to implement in any number of dimensions, to obtain accurate first arrival times in complex velocity models. The method, which is stable and computationally efficient, can handle instabilities due to caustics and provide head waves traveltimes. Numerical examples demonstrate that the celerity-domain Eikonal solver provides accurate first arrival traveltimes. This new method is three times accurate more than the 2nd-order fast marching method in a linear velocity model with the same spacing.

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  • Other Information: Journal Publication Date: 07/2005

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  • Report No.: LBNL--57291
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 842574
  • Archival Resource Key: ark:/67531/metadc786561

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  • March 15, 2005

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  • Dec. 3, 2015, 9:30 a.m.

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  • May 5, 2016, 2 p.m.

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Zhang, Linbin; Rector, James W., III & Hoversten, G. Michael. An Acoustic Wave Equation for Tilted Transversely Isotropic Media, article, March 15, 2005; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc786561/: accessed August 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.