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Karhunen-Loeve transform

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Proceedings Papers

Paper presented at the SPE Europec featured at 78th EAGE Conference and Exhibition, May 30–June 2, 2016
Paper Number: SPE-180077-MS
.... The Karhunen-Loeve Transform is applied to squeeze twenty attributes into four new attributes by eliminating attributes correlation. Based on generated seismic attributes, the artificial neural network is implemented to illustrate the oil saturations changes, which is also constrained by the measured fluid...
Proceedings Papers

Paper presented at the 1988 SEG Annual Meeting, October 30–November 3, 1988
Paper Number: SEG-1988-1266
... approximation analogy covariance matrix pendrel mattock transformation Applications of Full and Partial Karhunen-Loeve l kansformation to Geophysical Image Enhancement Giovanni B. Marchisio, John I! Pendrel, and Bruce W Mattocks, Gulf Canada Resources Ltd. s 22.5 Summary The Kerhunen-Loeve (K-L...
Images
Permeability parameterization using the <span class="search-highlight">Karhunen</span>-<span class="search-highlight">Loeve</span> <span class="search-highlight">transform</span> for aprior...
Published: 26 February 2007
Figure 3 Permeability parameterization using the Karhunen-Loeve transform for apriori known and unknown permeabilities generated from the same training image. More
Proceedings Papers

Paper presented at the SEG/AAPG/SEPM First International Meeting for Applied Geoscience & Energy, September 26–October 1, 2021
Paper Number: SEG-2021-3583112
... techniques to mitigate this issue. In FWI, the dual variables are highly compressible in a transformed domain because of their low-rank structure. We assess compression techniques in Cartesian space (without transform), Karhunen-Loeve Transform (KLT), and fast Fourier transform (FFT) on simple models...
Proceedings Papers

Paper presented at the 2018 SEG International Exposition and Annual Meeting, October 14–19, 2018
Paper Number: SEG-2018-2998444
... data. Most established methods use two characteristics of multiples, delayed arrival time with respect to primaries, and periodicity. An attempt is made to use coherency as the foundation for attenuating multiples. Karhunen Loeve Transform is used on dataset, using multiple velocity. Principal...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 27–30, 2015
Paper Number: SPE-174017-MS
... in this paper. As an example, we apply the method to seismic images that are contaminated with the GR noise. First, the CI, representing a measure of the amount of energy contained in the most coherent modes of Karhunen-Loeve transform for any given segment of the data, is computed. The contaminated region...
Proceedings Papers

Paper presented at the 2015 SEG Annual Meeting, October 18–23, 2015
Paper Number: SEG-2015-5750526
..., 2014), f-x deconvolution (Canales, 1984; Gulunay, 1986), Karhunen-Loeve transform (Jones and Levy, 1987), sparse transform domain thresholding strategies (Donoho, 1995; Neelamani et al., 2008; Fomel and Liu, 2010; Liu and Fomel, 2010; Chen et al., 2014a) and multichannel singular spectrum analysis...
Proceedings Papers

Paper presented at the 2009 SEG Annual Meeting, October 25–30, 2009
Paper Number: SEG-2009-3381
...) and Montagne et al. (2006) proposed the use of the Karhunen-Loève transform to estimate and subtract the ground roll from the common-shot gathers. SVD is a coherency-based technique that provides both signal enhancement and noise suppression. It has been implemented in a variety of seismic applications (Freire...
Journal Articles
Journal: SPE Journal
SPE J. 14 (01): 182–201.
Paper Number: SPE-106453-PA
Published: 01 March 2009
... features of the field. This makes the inverse problem better posed by reducing redundancy. The Karhunen-Loeve transform (KLT), also known as principal component analysis, is a classical option for deriving low-dimensional parameterizations for history-matching applications. The KLT can provide an accurate...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 26–28, 2007
Paper Number: SPE-106453-MS
...Figure 3 Permeability parameterization using the Karhunen-Loeve transform for apriori known and unknown permeabilities generated from the same training image. ...
Journal Articles
Journal: SPE Journal
SPE J. 19 (03): 487–499.
Paper Number: SPE-146934-PA
Published: 05 November 2013
... techniques that are derived from prior information, such as the principal component analysis (PCA) or Karhunen-Loeve transform (KLT), can be biased by errors in the prior knowledge, whereas prior-independent methods such as the Wavelet or Fourier-based image-compression techniques are robust but do not take...
Proceedings Papers

Paper presented at the 2010 SEG Annual Meeting, October 17–22, 2010
Paper Number: SEG-2010-3524
... (local) singular value decomposition (SVD) filtering (Ulrych et al., 1988; Bekara and van der Baan, 2007) and (partial) Karhunen-Loeve transform filtering (Jones and Levy, 1987; Al-Yahya, 1991). Both this two methods are based on the fact that coherent events and noise can be separated in certain domain...
Proceedings Papers

Paper presented at the 1999 SEG Annual Meeting, October 31–November 5, 1999
Paper Number: SEG-1999-1052
... exploration, especially in marine surveys. There are many approaches for suppressing m ultiples, but none can remove all m ultiple re ections under all conditions.We have devel- oped t w o new methods to attenuate multiple re ections using the Karhunen-Loeve transform whic h extract coheren t information from...
Proceedings Papers

Paper presented at the 1990 SEG Annual Meeting, September 23–27, 1990
Paper Number: SEG-1990-0226
... anomaly more clearly, a further study must be done. We first expanded and extracted seismic attributes such as seismic boundaries and also the residual attributes. Then a new approach for reconstructing the attribute images by using image stack and Karhunen-loeve transformation is presented. The method...
Proceedings Papers

Paper presented at the 1990 SEG Annual Meeting, September 23–27, 1990
Paper Number: SEG-1990-1626
... and stacking in the time-offset domain. THE PARTIAL K-L TRANSFORM Freire and Uhych (1988) showed how singular value decomposition (SVD) of the seismic section can be used to enhance zero-dip events in the section. Their method turns out to be a special case of the Karhunen-Loeve (K-L) transform as described...
Proceedings Papers

Paper presented at the 1994 SEG Annual Meeting, October 23–28, 1994
Paper Number: SEG-1994-1568
... publications where the broad spectrum of methods and recipes may additionally indicate the relevance of this problem. At present, the most prominent method in the reduc- tion of incoherent (randomly distributed) noise is the Karhunen- Loeve Transformation (e.g. Jones et al. (1987)) which is based...
Proceedings Papers

Paper presented at the 2009 SEG Annual Meeting, October 25–30, 2009
Paper Number: SEG-2009-3302
... aliasing and can generate artifacts due to spatial impulse-response smearing. Eigenimage filtering with the Karhunen-Loeve (KL) transform or singular-value decomposition (SVD) is able to avoid many of these sampling and smearing issues (Liu, 1999, Chiu and Howell, 2008). With either KL transforms or SVD...
Proceedings Papers

Paper presented at the 1996 SEG Annual Meeting, November 10–15, 1996
Paper Number: SEG-1996-0794
... geometries were used for the multifold acquisition. FX deconvolution and Karhunen-Loeve transform based filtering of the NMO corrected CMP gathers were used for the attenuation of the incoherent noise. Velocity analysis performed on CMP gathers with an average 2400% fold provided a well controlled model...
Proceedings Papers

Paper presented at the 13th World Petroleum Congress, October 20–25, 1991
Paper Number: WPC-24133
... were included. the AVO technique, as can be seen in the works of THE PARTIAL K-L TRANSFORM The Karhunen-Loeve (K-L) transform is a well- known technique in image processing (Oppenheim, 1976). we like to think of the seismic section as an image of the subsurface, this transform has natu- Chiburis (1987...
Proceedings Papers

Paper presented at the 2013 SEG Annual Meeting, September 22–27, 2013
Paper Number: SEG-2013-0863
... multiples or other incoherent noises. Radon filtering is an effective method and widely used for multiple attenuation. However, a few multiples still exist after Radon filtering. In this paper, the Karhunen-Loeve (KL) transform and polynomial fitting are performed as complementary processing...

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