142 citations · 257 across the 5 of their papers we have counts for
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Christoffel equation in the polarization variables
Vladimir Grechka
We formulate the classic Christoffel equation in the polarization variables and solve it for the slowness vectors of plane waves corresponding to a given unit polarization vector.…
Triple singularities of elastic wave propagation in anisotropic media
Vladimir Grechka
A typical singularity of elastic wave propagation, often termed a shear-wave singularity, takes place when the Christoffel equation has a double root or, equivalently, two out of t…
NMO-velocity surfaces and Dix-type formulae in anisotropic heterogeneous media
Vladimir Grechka, Ilya Tsvankin
Reflection moveout of pure modes recorded on conventional-length spreads is described by a normal-moveout (NMO) velocity that depends on the orientation of the common-midpoint (CMP…
Seismic characterization of multiple fracture sets at Rulison Field, Colorado
Ivan Vasconcelos, Vladimir Grechka
Conventional fracture-characterization methods assume the presence of a single set of aligned, vertical cracks in the subsurface. We relax this assumption and demonstrate the feasi…
3D two-point ray tracing for heterogeneous, weakly transversely-isotropic media
Vladimir Grechka, George A. McMechan
A two-point ray-tracing technique for 3D smoothly heterogeneous, weakly transversely-isotropic media is based on Fermat's principle and takes advantage of global Chebyshev approxim…
Generalized Dix equation and analytic treatment of normal-moveout velocity for anisotropic media
Vladimir Grechka, Ilya Tsvankin, Jack K. Cohen
Despite the complexity of wave propagation in anisotropic media, reflection moveout on conventional common-midpoint (CMP) spreads is usually well described by the normal-moveout (N…