Skip to content

Commit 14f5138

Browse files
Rui GongRui Gong
authored andcommitted
reproducible version
1 parent 7166c1f commit 14f5138

File tree

3 files changed

+1698
-20
lines changed

3 files changed

+1698
-20
lines changed

book/tccs/group/SConstruct

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -1,3 +1,3 @@
11
from rsf.tex import *
22

3-
End(use='amsmath')
3+
End(options='reproduce',use='hyperref,listings,amsmath',color='ALL')

book/tccs/group/group.ipynb

Lines changed: 1686 additions & 0 deletions
Large diffs are not rendered by default.

book/tccs/group/paper.tex

Lines changed: 11 additions & 19 deletions
Original file line numberDiff line numberDiff line change
@@ -1,27 +1,21 @@
11
\published{Geophysical Prospecting, v. 52, 247-259 (2004)}
2-
\title{On anelliptic approximations for $qP$ velocities in
3-
transversally isotropic media}
2+
\title{On anelliptic approximations for $qP$ velocities in VTI media}
43

54
65
\author{Sergey Fomel}
76

87
\maketitle
98

109
\begin{abstract}
11-
I develop a unified approach for approximating phase and group
12-
velocities of $qP$ seismic waves in a transversally isotropic medium
13-
with the vertical axis of symmetry (VTI). While the exact phase
14-
velocity expressions involve four independent parameters to
15-
characterize the elastic medium, the proposed approximate
16-
expressions use only three parameters. This makes them more
17-
convenient for use in surface seismic experiments, where estimation
18-
of all the four parameters is problematic. The three-parameter
19-
phase-velocity approximation coincides with the previously published
20-
``acoustic'' approximation of Alkhalifah. The group velocity
21-
approximation is `new and noticeably more accurate than some of the
22-
previously published approximations. I demonstrate an application of
23-
the group velocity approximation for finite-difference computation
24-
of traveltimes.
10+
A unified approach to approximating phase and group velocities of qP seismic waves
11+
in a transversely isotropic medium with vertical axis of symmetry (VTI) is developed.
12+
While the exact phase-velocity expressions involve four independent parameters to
13+
characterize the elastic medium, the proposed approximate expressions use only three
14+
parameters. This makes them more convenient for use in surface seismic experiments,
15+
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
16+
accurate than some of the previously published approximations. An application of
17+
the group-velocity approximation for finite-difference computation of traveltimes is
18+
shown.
2519
\end{abstract}
2620

2721
\section{Introduction}
@@ -675,9 +669,7 @@ \section{Application: Finite-difference traveltime computation}
675669
vertical velocity is taken equal to the NMO velocity $V_n$.}
676670

677671
\section{Conclusions}
678-
679-
I have developed a general approach for approximating both phase and group
680-
velocities in a VTI medium. Suggested approximations use three elastic
672+
A general approach to approximating both phase and group velocities in a VTI medium has been developed. The suggested approximations use three elastic
681673
parameters as opposed to the four parameters in the exact phase velocity
682674
expression. The phase velocity approximation coincides with the acoustic
683675
approximation of \cite{GEO63-02-06230631,GEO65-04-12391250} but is derived

0 commit comments

Comments
 (0)