Time‐domain processing in arbitrarily inhomogeneous media

Tariq Alkhalifah, Biondo Biondi, Sergey Fomel
1998 SEG Technical Program Expanded Abstracts 1998   unpublished
Constructing the seismic image in vertical time, as opposed to depth, eliminates the inherent ambiguity of resolving the vertical P-wave velocity from surface seismic data, in transversely isotropic media with a vertical axis of symmetry (VTI media). We show that, in the (x-)domain, the raytracing and eikonal equations are completely independent of the vertical P-wave velocity, on the condition that the ratio of the vertical to normal-moveout (NMO) P-wave velocity ( ) is laterally invariant.
more » ... rally invariant. Practical size departures of from lateral homogeneity affect traveltimes only slightly. As a result, for all practical purposes, the VTI equations in the (x-)-domain are dependent on only two parameters in laterally inhomogeneous media: the NMO velocity for a horizontal reflector, and an anisotropy parameter, . In summary, we have established the basis for a full inhomogeneous time-processing scheme for VTI media that is independent of the vertical P-wave velocity.
doi:10.1190/1.1820268 fatcat:a5n5dabyard6dn6dzxzrij5v74