Surface wave eikonal tomography in heterogeneous media - MIT
group-velocity maps for specific frequencies, which in a second step are then ... In Section 2 of this paper, we present the theory of eikonal tomog- raphy and the ...
[ 2012GJIEikonal.pdf - Read/Download File
Inversion of Love wave phase velocity, group - ION Geophysical
We present the theory of Love wave inversion for shear ve- locity profiles using phase velocity, group velocity, and shear stress ratio measurements. This theory ...
[ TP_SEG_Inversion_Love_Wave_Douma.pdf - Read/Download File
Chapter 6 revised 2014
The difference between phase and group velocity can be very clearly seen in ..... same equation as 6.4 so all the same theory for making phase velocity maps can be .... of (6.13) into the equations of motion finally leads to the eikonal equation:.
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Contents - Caltech
7.3 Waves in an Inhomogeneous, Time-Varying Medium: The Eikonal Approxi- ... 7.3.2 Connection of Geometric Optics to Quantum Theory . ..... then the group and phase velocities are different, and the wave is said to exhibit dispersion;.
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Download File - USGS Professional Pages
shear wave velocity structure in the upper 200 km of the western United States. ..... grey curve is the theoretical group velocity. γ = 2 has been used when employing eq. ..... method embraces the eikonal tomography approach, which exploits.
[ ci2011May2718435937182PollitzSnoke2010.pdf - Read/Download File
Surface-wave propagation and phase-velocity structure from
measurements of the arrival angle and local phase velocity are made using a ... to predict arrival-angle anomaly patterns, with both ray-theory-based ... mode and higher-mode waves at the same period travel with similar group velocity, making ..... ambient noise tomography (e.g., Shapiro et al., 2005), Eikonal tomography.
[ Foster_columbia_0054D_12041.pdf - Read/Download File
ASWMS manual v2015.04.25 - IRIS
Apr 25, 2015 ... generate phase velocity maps via the Eikonal and Helmholtz equation. The detailed theoretical development of this .... Another group of parameters that frequently needs to be adjusted is the periods and the smoothing weight ...
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Eikonal tomography: surface wave tomography by phase front
(such as seismic wave speeds, surface wave phase or group speeds, etc.) ... spatial distribution of phase speed (geometrical ray theory), which is known only ...
[ Lin09_Eikonal.pdf - Read/Download File
On anelliptic approximations for qP velocities in VTI media - CiteSeerX
approximations for both group and phase velocities in VTI media. ... this approximation possesses remarkable theoretical properties. ... Wavefront propagation in general anisotropic media can be described by the anisotropic eikonal equation,.
[ fomel042604group.pdf - Read/Download File
Propagation and structural interpretation of non-plane waves
two phase velocities that permits a correct structural interpretation of acoustic waves in inhomogeneous ... Key words: Eikonal equation, phase velocity, polar phase shift, structural inter- pretation ..... Its strength lies in theoretical considerations; the direct approach ... Phase and group slownesses in inhomogeneous media, J.
[ NonplaneWaves.pdf - Read/Download File
Generalized eikonal approximation. 1 - OSA Publishing
framework for the wave theory of light was established in the 19th century by Maxwell ..... From Eq. (12a), it is clear that the local group velocity. (c2/n0. 2)(k/w), is ...
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Quasi-compressional group velocity approximations in a weakly
first approximate eikonal equation, where the resultant group velocity surface is ... on perturbation theory, have been used to advance the understanding of wave.
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EIKONAL DESCRIPTION OF INTERNAL WAVE INTERACTIONS:
assume that the vertical group velocity of a wave packet remains constant ... eikonal theory the phase velocity plays no role, and the overall phase of the.
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On anelliptic approximations for qP velocities in transversally
approximations for both group and phase velocities in VTI media. Numerous different ... and from the theory of Stolt stretch (Stolt, 1978; Fomel and Vaillant, 2001). I show that applying this idea to ... anisotropic eikonal equation v2( ∇T. |∇ T|. ,x. ).
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Linearization of the P-wave eikonal equation for - FairfieldNodal
perturbation theory to the P-wave weak VTI eikonal equa- tion. This results in a ... only approximate, since I did not use the group velocity func- tion. I tested my ...
[ PwaveVTI.pdf - Read/Download File
Paraxial geometrical optics for quasi-P waves: theories and
vector, i.e., the group velocity, has the same direction as the traveltime gradient, i.e., the phase ... which leads to the eikonal equation for the phase function τ,.
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The 11 March 2011 Tohoku tsunami wavefront - Fan-Chi Lin
May 18, 2015 ... seismic phase and group velocities [Lin et al., 2011; Gouйdard et al., 2012 ... The application of the eikonal approach to tsunami data is a natural one ... The observed phase velocity dispersion is compared with theoretical and ...
[ Tsunami_lin_et_al_2015.pdf - Read/Download File
Determination of parameters of viscoelastic anisotropy from ray
velocity and ray attenuation: Theory and numerical modeling. Václav Vavrycuk1 .... the complex eikonal equation special type of an inhomogeneous medium are reported ... to how we distinguish between the phase and group velocities in.
[ geophysics2015_pdf_20603.pdf - Read/Download File
Quantum gravitational optics: the induced phase
Mar 26, 2007 ... b Institute for studies in theoretical physics and mathematics,. P O Box ... term (in eikonal equation and) to the photon wave vector. ... The null cone and phase velocity modifi- .... The second familiar group of phase deviations is.
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Modified geometrical optics of a smoothly - arXiv.org
The difference in the group velocities results in the shift of the rays of ... and phase velocities are distinct; 3) as a consequence of the anisotropy, the ... modified geometrical optics theory is presented, which is free of the drawbacks outlined. ... In the conventional geometrical optics  the phase ψ and the eikonal equation.
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