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Published as Geophysical Journal International, 193, 960-969, (2013)

Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation

Xiaolei Song% latex2html id marker 2011 \setcounter{footnote}{1}\fnsymbol{footnote}, Sergey Fomel% latex2html id marker 2012 \setcounter{footnote}{1}\fnsymbol{footnote}, and Lexing Ying% latex2html id marker 2013 \setcounter{footnote}{2}\fnsymbol{footnote}

% latex2html id marker 2014 \setcounter{footnote}{1}\fnsymbol{footnote}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 78713-8924
USA
sergey.fomel@beg.utexas.edu
% latex2html id marker 2015 \setcounter{footnote}{2}\fnsymbol{footnote}Department of Mathematics
The University of Texas at Austin
1 University Station
Austin, TX 78712
USA
lexing@math.utexas.edu

Abstract:

We introduce a novel finite-difference (FD) approach for seismic wave extrapolation in time. We derive the coefficients of the finite-difference operator from a lowrank approximation of the space-wavenumber, wave-propagator matrix. Applying the technique of lowrank finite-differences, we also improve the finite difference scheme of the two-way Fourier finite differences (FFD). We call the new operator lowrank Fourier finite differences (LFFD). Both the lowrank FD and lowrank FFD methods can be applied to enhance accuracy in seismic imaging by reverse-time migration. Numerical examples confirm the validity of the proposed technique.


next up previous Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation [pdf]

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2013-07-26