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Linear Inversion of Band-Limited Reflection Seismograms
Abstract
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.
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Citations
Cited by
Candes, E. J., Romberg, J., & Tao, T. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.862083 · Cited by 15,639
An Introduction To Compressive Sampling
Candes, E. J., & Wakin, M. B. (2008) · IEEE Signal Processing Magazine · doi:10.1109/msp.2007.914731 · Cited by 10,017
Uncertainty Principles and Signal Recovery
Donoho, D. L., & Stark, P. B. (1989) · SIAM Journal on Applied Mathematics · doi:10.1137/0149053 · Cited by 1,054
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Wu, T. T., Chen, Y. F., Hastie, T., Sobel, E., & Lange, K. (2009) · Bioinformatics · doi:10.1093/bioinformatics/btp041 · Cited by 785
Feng, D., Fang, K., & Shen, C. (2020) · Water Resources Research · doi:10.1029/2019wr026793 · Cited by 633
Metadata
- Authors
- Santosa, F., & Symes, W. W.
- Venue
- SIAM Journal on Scientific and Statistical Computing
- Published
- 1986-10
- Volume
- 7
- Issue
- 4
- Pages
- 1307-1330
- ISSN
- 0196-5204 (ISSN-L)
- 2168-3417
- OpenAlex
- W2075894130
- Cited by
- 713
- References
- 0
- FWCI
- 1.47
- Type
- journal article
- Language
- en
- Open access
- closed
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- Santosa, F., & Symes, W. W. (1986). Linear Inversion of Band-Limited Reflection Seismograms. SIAM Journal on Scientific and Statistical Computing. https://doi.org/10.1137/0907087
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