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![]() | Traveltime approximations for transversely isotropic media with an inhomogeneous background | ![]() |
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Expanding the traveltime solutions of the TI eikonal equation in a power series in terms of independent
parameters, like the tilt angle in 2D, provides an efficient tool to estimate
in a generally inhomogeneous background
medium. Additional expansions from a background elliptical anisotropic medium with a vertical symmetry axis allows us
to search for the anisotropy parameter
and the tilt angles simultaneously, even in 3D media.
For a homogeneous background, I obtain analytic nonhyperbolic moveout equations
for anisotropic media that are generally simple, and yet accurate. Nevertheless, the formulations
provide
and tilt-angles estimation capabilities for a general inhomogeneous background medium.