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Merge branch 'master' of https://github.com/ahay/src
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book/tccs/group/SConstruct

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from rsf.tex import *
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End(use='amsmath')
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End(options='reproduce',use='hyperref,listings,amsmath',color='ALL')

book/tccs/group/group.ipynb

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book/tccs/group/paper.tex

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\published{Geophysical Prospecting, v. 52, 247-259 (2004)}
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\title{On anelliptic approximations for $qP$ velocities in
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transversally isotropic media}
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\title{On anelliptic approximations for $qP$ velocities in VTI media}
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\author{Sergey Fomel}
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\maketitle
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\begin{abstract}
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I develop a unified approach for approximating phase and group
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velocities of $qP$ seismic waves in a transversally isotropic medium
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with the vertical axis of symmetry (VTI). While the exact phase
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velocity expressions involve four independent parameters to
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characterize the elastic medium, the proposed approximate
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expressions use only three parameters. This makes them more
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convenient for use in surface seismic experiments, where estimation
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of all the four parameters is problematic. The three-parameter
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phase-velocity approximation coincides with the previously published
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``acoustic'' approximation of Alkhalifah. The group velocity
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approximation is `new and noticeably more accurate than some of the
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previously published approximations. I demonstrate an application of
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the group velocity approximation for finite-difference computation
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of traveltimes.
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A unified approach to approximating phase and group velocities of qP seismic waves
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in a transversely isotropic medium with vertical axis of symmetry (VTI) is developed.
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While the exact phase-velocity expressions involve four independent parameters to
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characterize the elastic medium, the proposed approximate expressions use only three
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parameters. This makes them more convenient for use in surface seismic experiments,
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where the estimation of all four parameters is problematic. The three-parameter phase-velocity approximation coincides with the previously published ‘acoustic’ approximation of Alkhalifah. The group-velocity approximation is new and noticeably more
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accurate than some of the previously published approximations. An application of
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the group-velocity approximation for finite-difference computation of traveltimes is
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shown.
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\end{abstract}
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\section{Introduction}
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vertical velocity is taken equal to the NMO velocity $V_n$.}
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\section{Conclusions}
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I have developed a general approach for approximating both phase and group
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velocities in a VTI medium. Suggested approximations use three elastic
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A general approach to approximating both phase and group velocities in a VTI medium has been developed. The suggested approximations use three elastic
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parameters as opposed to the four parameters in the exact phase velocity
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expression. The phase velocity approximation coincides with the acoustic
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approximation of \cite{GEO63-02-06230631,GEO65-04-12391250} but is derived

user/chenyk/SConstruct

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@@ -10,11 +10,11 @@ zerotrace hilbert cdivdir cabs cemd1 cemd2 snr2 snr3 snrcyk preerror
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threshold1 tsmf fxdecon simidenoise bin2rsf rsf2bin halfthr hradon
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suplane simidenoise1 rmtrace prekirch psmig pocssemb afd2d
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prekirchsr simpostkirch presr nlm1 nlm2 dblendseis svmf genshotscyk dip_fb dipn_fb dipl dipln selfblend ycvelxf ycvelinvww afd2domp low addtrace matlr pnmomf expd ltfts ltftn fxynpre fxynpre2
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orthol orthon orthonc orthoa smoothn warpscann dipn efd3dmt aps3d sint2 sint3 eikonal_rtp eikonal_surf eikonal_surf_dv1d txt2rsf rsf2txt npef5_recon
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orthol orthon orthonc orthoa smoothn warpscann dipn efd3dmt sint2 sint3 eikonal_rtp eikonal_surf eikonal_surf_dv1d txt2rsf rsf2txt npef5_recon
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'''
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ccprogs = 'diffcxx'
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# broken: Mnpef5
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# broken: npef5 aps3d
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# mutter3 aps3d npef5
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