


 Seismic wave extrapolation using lowrank symbol approximation  

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Published as Geophysical Prospecting, 61, 526–53 (2013)
Seismic wave extrapolation using lowrank symbol approximation
Sergey Fomel^{}, Lexing Ying^{}, and Xiaolei Song^{}
^{}Bureau of Economic Geology,
John A. and Katherine G. Jackson School of Geosciences
The University of Texas at Austin
University Station, Box X
Austin, TX 787138972
USA
sergey.fomel@beg.utexas.edu
^{}Department of Mathematics
The University of Texas at Austin
1 University Station
Austin, TX 78712
USA
lexing@math.utexas.edu
Abstract:
We consider the problem of constructing a wave extrapolation operator
in a variable and possibly anisotropic medium. Our construction
involves Fourier transforms in space combined with the help of a
lowrank approximation of the spacewavenumber wavepropagator
matrix. A lowrank approximation implies selecting a small set of
representative spatial locations and a small set of representative
wavenumbers. We present a mathematical derivation of this method, a
description of the lowrank approximation algorithm, and numerical
examples which confirm the validity of the proposed approach. Wave
extrapolation using lowrank approximation can be applied to seismic
imaging by reversetime migration in 3D heterogeneous isotropic or
anisotropic media.



 Seismic wave extrapolation using lowrank symbol approximation  

Next: INTRODUCTION
Up: Reproducible Documents
20130413