An acoustic eikonal equation for attenuating VTI media

An acoustic eikonal equation for attenuating VTI media

Qi Hao and Tariq Alkhalifah, "An acoustic eikonal equation for attenuating VTI media", SEG Technical Program Expanded Abstracts 2016: 458-463. doi: 10.1190/segam2016-13857107.1
Qi Hao, Tariq Alkhalifah
acoustic, anisotropy, traveltime, viscoelastic, attenuation
2016
​We present an acoustic eikonal equation governing the complex-valued travel time of P-waves in attenuating, transversely isotropic media with a vertical symmetry axis (VTI). This equation is based on the assumption that the P-wave complex-valued travel time is independent of the S-wave velocity parameter υS0 in Thomsen's notation and the attenuation coefficient AS0 in the Thomsen-type notation for attenuating VTI media. We combine perturbation theory and Shanks transform to develop practical approximations to the attenuating acoustic eikonal equation, capable of admitting analytical description of the attenuation in homogeneous media. For a horizontal, attenuating VTI layer, we also derive non-hyperbolic approximations for the real and imaginary parts of the complex-valued reflection travel time.
1949-4645