An Approximate Method for the Acoustic Attenuating VTI Eikonal Equation
Q. Hao and T. Alkhalifah
Event name: 79th EAGE Conference and Exhibition 2017
Session: Seismic Modelling - Anisotropic and Viscoelastic
Publication date: 12 June 2017
Info: Extended abstract, PDF ( 1.71Mb )
Price: € 20
We present an approximate method to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). A perturbation method is used to derive the perturbation formula for complex-valued traveltimes. The application of Shanks transform further enhances the accuracy of approximation. We derive both analytical and numerical solutions to the acoustic eikonal equation. The analytic solution is valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solution is applicable for inhomogeneous attenuating VTI media.