TY - GEN
T1 - Time-domain processing in arbitrarily inhomogeneous media
AU - Alkhalifah, Tariq
AU - Biondi, Biondo
AU - Fomel, Sergey
N1 - Generated from Scopus record by KAUST IRTS on 2023-09-21
PY - 1998/1/1
Y1 - 1998/1/1
N2 - 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- τ)- 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 (α) is laterally invariant. Practical size departures of α from lateral homogeneity affect traveltimes only slightly. As a result, for all practical purposes, the VTI equations in the (x-τ)-domain are dependent on only two parameters in laterally inhomogeneous media: the NMO velocity for a horizontal reflector, and an anisotropy parameter, ŋ. 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.
AB - 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- τ)- 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 (α) is laterally invariant. Practical size departures of α from lateral homogeneity affect traveltimes only slightly. As a result, for all practical purposes, the VTI equations in the (x-τ)-domain are dependent on only two parameters in laterally inhomogeneous media: the NMO velocity for a horizontal reflector, and an anisotropy parameter, ŋ. 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.
UR - http://www.scopus.com/inward/record.url?scp=85059024913&partnerID=8YFLogxK
M3 - Conference contribution
BT - 1998 SEG Annual Meeting
PB - Society of Exploration [email protected]
ER -