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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
.... and Le Guyader , C. , 2012 , September . New Formulation of the Objective Function for Better Incorporation of 4D Seismic Data into Reservoir Models . In ECMOR XIII-13th European Conference on the Mathematics of Oil Recovery . Dony , R.D. , 2001 . Karhunen-loeve transform . The...
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...
Journal Articles
Journal: SPE Journal
SPE Journal 14 (01): 182–201.
Paper Number: SPE-106453-PA
Published: 15 March 2009
... captures the most important 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...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 26–28, 2007
Paper Number: SPE-106453-MS
... makes the inverse problem better posed by reducing redundancy. The Karhunen-Loeve Transform (KLT) is a classical option for deriving low dimensional parameterizations for history matching applications. The KLT can provide an accurate characterization of complex permeability fields but it can be...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, April 27–30, 2015
Paper Number: SPE-174017-MS
... 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 of the data is then identified as the region with the...
Proceedings Papers

Paper presented at the 2018 SEG International Exposition and Annual Meeting, October 14–19, 2018
Paper Number: SEG-2018-2998444
... attempt is made to use coherency as the foundation for attenuating multiples. Karhunen Loeve Transform is used on dataset, using multiple velocity. Principal components attributing to multiples are selected and composed back to seismic traces. These multiples are then subtracted from the original gather...
Proceedings Papers

Paper presented at the 2015 SEG Annual Meeting, October 18–23, 2015
Paper Number: SEG-2015-5750526
..., 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 (Oropeza and Sacchi, 2011; Chen et al., 2015). The...
Journal Articles
Journal: SPE Journal
SPE Journal 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 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...
Proceedings Papers

Paper presented at the 2010 SEG Annual Meeting, October 17–22, 2010
Paper Number: SEG-2010-3524
...., 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. However, this separability is strictly limited by some conditions...
Journal Articles
Journal: SPE Journal
SPE Journal 25 (04): 1895–1915.
Paper Number: SPE-199368-PA
Published: 13 August 2020
... elements are nonzero constant values only for the corresponding zones and zero for the other zones. Φ should be predefined on the basis of the prior model and does not change in the course of model calibrations. The other common parameterization is KarhunenLoève transform (KLT) (Karhunen 1947...
Proceedings Papers

Paper presented at the SPE Europec featured at 79th EAGE Conference and Exhibition, June 12–15, 2017
Paper Number: SPE-185847-MS
... presented which includes construction of a proxy model that can replace reservoir simulator. Realizations are first parameterized using Karhunen-Loeve (KL) transformation and represented in terms of few uncorrelated random variables. Considering these random variables as input and production parameters as...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 9–12, 2005
Paper Number: SPE-95277-MS
... of the (en-semble) covariance approximated from the limited ensemble depends on the number of realizations used. In this study, we propose an efficient, dimension-reduced Kalman filtering scheme based on Karhunen-Loeve and other orthogonal poly-nomial decompositions of the state vector. We consider...
Proceedings Papers

Paper presented at the SPE Europec/EAGE Annual Conference, June 13–16, 2005
Paper Number: SPE-94241-MS
... of the uncertain parameter field using the Karhunen-Loeve (K-L) expansion. The K-L expansion [5] essentially transforms the correlated input random field into a much smaller set of independent random variables, thereby enabling the use of standard gradient-based inversion algorithms and associated...
Proceedings Papers

Paper presented at the SPE/AAPG/SEG Unconventional Resources Technology Conference, July 22–24, 2019
Paper Number: URTEC-2019-982-MS
... zones and zero for the other zones. should be predefined based on the prior model and does not change in the course of model calibrations. The other common parameterization is Karhunen-Loève transform (KLT) or principal component analysis (PCA) of the property covariance matrix (Karhunen 1947, Loève...
Proceedings Papers

Paper presented at the 2009 SEG Annual Meeting, October 25–30, 2009
Paper Number: SEG-2009-3302
... Karhunen-Loeve transform: Geophysics, 64, 564 566. 3306SEG Houston 2009 International Exposition and Annual Meeting Summary Eigenimage filtering has been used as a tool for separating seismic signal and coherent noise for some time. The basic idea behind the method is to estimate the high-energy...
Proceedings Papers

Paper presented at the 2013 SEG Annual Meeting, September 22–27, 2013
Paper Number: SEG-2013-0863
... amplitude at the near offsets and suggested making use of contaminated near-offset traces less for AVO analysis. The Karhunen-Loeve (KL) transform (Hemon and Mace, 1978; Jones and Levy; 1987; Levy,2013), which optimally extracting coherent information from multichannel input data in a least-squares sense...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0643
... gener- alized eigenvalue problem with finite element method we determined eigenvalue and eigenfunction pairs used in the Karhunen-Loève expansion of a Gaussian random field. The KL random field was subsequently transformed to re- flect the probability structure of the originally sampled non-Gaussian...
Proceedings Papers

Paper presented at the 2017 SEG International Exposition and Annual Meeting, September 24–29, 2017
Paper Number: SEG-2017-17585227
... land data using smart supergrouping : 85th Annual International Meeting, SEG, Expanded Abstracts , 4652 – 4656 , 10.1190/segam2015-5836273.1 . Herman , C. , and D. Mace , 1978 , The use of the Karhunen-Loeve transformation in seismic data processing : Geophysical...
Proceedings Papers

Paper presented at the 2015 SEG Annual Meeting, October 18–23, 2015
Paper Number: SEG-2015-5715927
... S. Levy, 1987, Signal-to-noise ratio enhancement in multichannel seismic data via the Karhunen-Loéve transform: Geophysical Prospecting, 35, no. 1, 12 32, httpdx.doi.org/10.1111/j.1365-2478.1987.tb00800.x. Oropeza, V., and M. Sacchi, 2011, Simultaneous seismic data denoising and reconstruction via...

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