Linear inversion of band-limited reflection seismograms

We present a method for the linear inversion (deconvolution) of band-limited reflection seismograms. A large convolution problem is first broken up into a sequence of smaller problems. Each small problem is then posed as an optimization problem to resolve the ambiguity presented by the band-limited...

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Bibliographic Details
Published in:SIAM journal on scientific and statistical computing 1986-10, Vol.7 (4), p.1307-1330
Main Authors: SANTOSA, F, SYMES, W. W
Format: Article
Language:English
Subjects:
Algorithms
Applied mathematics
Exact sciences and technology
Fourier transforms
Integral equations, integral transforms
Inverse problems
Linear programming
Mathematics
Noise
Numerical analysis
Numerical analysis. Scientific computation
Optimization
Sciences and techniques of general use
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Summary:We present a method for the linear inversion (deconvolution) of band-limited reflection seismograms. A large convolution problem is first broken up into a sequence of smaller problems. Each small problem is then posed as an optimization problem to resolve the ambiguity presented by the band-limited nature of the data. A new cost functional is proposed that allows robust profile reconstruction in the presence of noise. An algorithm for minimizing the cost functional is described. We present numerical experiments which simulate data interpretation using this procedure.
ISSN:0196-5204
1064-8275
2168-3417
1095-7197
DOI:10.1137/0907087