Finite Difference Modeling of Wave Progpagation in Acoustic TiltedTI Media

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Based on an acoustic assumption (shear wave velocity is zero) and a dispersion relation, we derive an acoustic wave equation for P-waves in tilted transversely isotropic (TTI) media (transversely isotropic media with a tilted symmetry axis). This equation has fewer parameters than an elastic wave equation in TTI media and yields an accurate description of P-wave traveltimes and spreading-related attenuation. Our TTI acoustic wave equation is a fourth-order equation in time and space. We demonstrate that the acoustic approximation allows the presence of shear waves in the solution. The substantial differences in traveltime and amplitude between data created using VTI ... continued below

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Zhang, Linbin; Rector III, James W. & Hoversten, G. Michael March 21, 2005.

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Based on an acoustic assumption (shear wave velocity is zero) and a dispersion relation, we derive an acoustic wave equation for P-waves in tilted transversely isotropic (TTI) media (transversely isotropic media with a tilted symmetry axis). This equation has fewer parameters than an elastic wave equation in TTI media and yields an accurate description of P-wave traveltimes and spreading-related attenuation. Our TTI acoustic wave equation is a fourth-order equation in time and space. We demonstrate that the acoustic approximation allows the presence of shear waves in the solution. The substantial differences in traveltime and amplitude between data created using VTI and TTI assumptions is illustrated in examples.

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  • Journal Name: Geophysical Prospecting; Journal Volume: 53; Journal Issue: 6; Related Information: Journal Publication Date: 11/2005

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  • Report No.: LBNL--57324
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1111/j.1365-2478.2005.00504.x | External Link
  • Office of Scientific & Technical Information Report Number: 875744
  • Archival Resource Key: ark:/67531/metadc877860

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  • March 21, 2005

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  • Sept. 21, 2016, 2:29 a.m.

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  • Sept. 30, 2016, 2:41 p.m.

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Zhang, Linbin; Rector III, James W. & Hoversten, G. Michael. Finite Difference Modeling of Wave Progpagation in Acoustic TiltedTI Media, article, March 21, 2005; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc877860/: accessed August 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.