Journal ArticleDOI
Wavelet estimation and deconvolution
TLDR
In this article, three methods have been presented for constructing a smooth wavelet from either a (possibly poor) estimate of the reflectivity sequence or an approximate inverse filter for the source wavelet.Abstract:
Three methods have been presented for constructing a smooth wavelet from either a (possibly poor) estimate of the reflectivity sequence or an approximate inverse filter for the source wavelet. An approximate reflectivity sequence might be derived from a velocity log at, or near, the site where the normal incidence seismogram was recorded, or it might be equated to the averages obtained from minimum entropy deconvolution (MED). The approximate inverse filter for the source wavelet is provided by MED. All methods performed well when tested on data generated from wavelets of different character, and this provides optimism that these methods will work satisfactorily in a variety of geophysical problems where the data are the convolution of a smooth wavelet and a “spikey” model. The deconvolution problem discussed here is nonunique, and satisfactory wavelet constructions require that some subjectivity be introduced by the investigator. Even so, we present one example where the computed wavelet and reflectivity...read more
Citations
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Journal ArticleDOI
Non-parametric seismic data recovery with curvelet frames
TL;DR: A non-parametric transform-based recovery method is presented that exploits the compression of seismic data volumes by recently developed curvelet frames and performs well on synthetic as well as real data by virtue of the sparsifying property of curvelets.
Journal ArticleDOI
Randomized sampling and sparsity: Getting more information from fewer samples
TL;DR: This work offers an alternative sampling method leveraging recent insights from compressive sensing toward seismic acquisition and processing for data that are traditionally considered to be undersampled, and the main outcome is a new technology where acquisition andprocessing related costs are no longer determined by overly stringent sampling criteria.
Journal ArticleDOI
An efficient multiscale method for time-domain waveform tomography
Chaiwoot Boonyasiriwat,Paul A. Valasek,Partha S. Routh,Weiping Cao,Gerard T. Schuster,Brian K. Macy +5 more
TL;DR: In this paper, a multiscale approach for time-domain waveform tomography incorporating filters that are more efficient than Hamming-window filters is proposed to achieve computational efficiency in the time domain.
Journal ArticleDOI
Non-linear primary-multiple separation with directional curvelet frames
TL;DR: In this article, a new transformed-domain method is proposed where primaries and multiples are separated rather than matched, which is carried out on the basis of differences in the multiscale and multidirectional characteristics of these two signal components.
Journal ArticleDOI
Compressed wavefield extrapolation
Tim T.Y. Lin,Felix J. Herrmann +1 more
TL;DR: In this article, an explicit algorithm for the extrapolation of one-way wavefields is proposed that combines recent developments in information theory and theoretical signal processing with the physics of wave propagation.
References
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Journal ArticleDOI
Uniqueness in the Inversion of Inaccurate Gross Earth Data
George E. Backus,Freeman Gilbert +1 more
TL;DR: In this article, it was shown that a given set G of measured gross Earth data permits such a construction of localized averages, and if so, how to find the shortest length scale over which G gives a local average structure at a particular depth if the variance of the error in computing that local average from G is to be less than a specified amount.
Journal ArticleDOI
Minimum entropy deconvolution
TL;DR: In this paper, the Western Geological Company of America Service Mark (MED) was developed to aid the extraction of detailed reflectivity information from amplitude anomalies in reflection seismic recordings, which depends on accurate compensation for the combined effects of the source wavelet and earth filtering.
Book
Geophysical Signal Analysis
Enders A. Robinson,Sven Treitel +1 more
TL;DR: This book is a reprint of the 1980 Prentice-Hall volume of the same title and contains material of interest to both geophysicists and those engaged in digital signal analysis in disciplines other than geophysics.
Journal ArticleDOI
Understanding Inverse Theory
TL;DR: In the field of geophysics, the concept of geo-physical inverse theory as discussed by the authors has been proposed to determine the parameters from the observations or, in the face of the inevitable limitations of actual measurement, to find out as much as possible about them.