An acoustic wave equation for anisotropic media

By Tariq Alkhalifah. 2000

536 citations recorded by the source corpus.

Subfields: Geophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/9ac7f17fb830bdec0555354fe22c4c6f4d1d415b

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In Geophysics

In Ocean Engineering

Citations in the corpus

A stable TTI reverse time migration and its implementation (2011, background): “Alkhalifah (2000) introduced a pseudoacoustic equation to model compressional wave (P-wave) propagation in transversely isotropic (TI) media.”
Stable P-wave modeling for reverse-time migration in tilted TI media (2011, background): “(2010) and others obtain different variants of systems of coupled second-order acoustic VTI wave equations that are more convenient for numerical implementation. Although all of these wave equations are equivalent kinematically, their amplitude behavior in inhomogeneous media will differ. Duveneck e”
A parametrization study for surface seismic full waveform inversion in an acoustic vertical transversely isotropic medium (2011, methodology): “Although pure acoustic anisotropy does not exist in the Earth, acoustic VTI wave equations have been proposed by several authors (Alkhalifah 1998; Alkhalifah 2000; Zhou et al. 2006; Duveneck et al. 2008; Operto et al. 2009).”
Seismic modeling by optimizing regularized staggered-grid finite-difference operators using a time-space-domain dispersion-relationship-preserving method (2014, methodology): “These methods also constitute the basis for reversetime migration and full-waveform inversion (Alford et al., 1974; Kelley et al., 1976; Alkhalifah, 2000; Basabe and Sen, 2007; Yang et al., 2012).”
On anelliptic approximations for qP velocities in VTI media (2004, methodology): “Specifically, the phase velocity squared has the quadratic form, v2ell(n, x) = nTÃ(x)n, (8) C© 2004 European Association of Geoscientists & Engineers, Geophysical Prospecting, 52, 247–259 with a symmetric positive-definite matrix Ã, and the group velocity is Vell = Ãp, (9) where p = ∇T = n/v(n, x”