Canadian International Petroleum Conference 2004
DOI: 10.2118/2004-190
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Review of the Application of Wavelet Analysis in the Petroleum Industry

Abstract: Wavelet transforms are a family of basis functions that separate a function of a signal into distinct frequency packets that are localized in the time domain. Thus, wavelets are well suited for analyzing nonstationary data. It can smooth the basic signals and keep and even enhance of details. So it provides a multiresolution framework for data representation.Wavelet transform is now used in a wide variety of applications in the areas of medicine, biology, data compression, etc. In recent years, wavelet analysi… Show more

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Cited by 4 publications
(4 citation statements)
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“…Wavelet transform method was developed and widely adopted and used in signal processing to overcome limitation of Fourier transform in time domain (Bultheel 2003). Although Fourier and its revised fast Fourier transforms are powerful mathematical tool, they are not very good at detecting rapid changes in signals such as seismic data and well test data in petroleum industry containing many structure of different scales (Multi-scale structures) (Guan et al 2004). Fourier coefficients do not provide direct information about the signal local behavior (localization); but the average strength of that frequency in the full signal as the sine or cosine function keeps undulating to infinity.…”
Section: Wavelet Transformmentioning
confidence: 99%
“…Wavelet transform method was developed and widely adopted and used in signal processing to overcome limitation of Fourier transform in time domain (Bultheel 2003). Although Fourier and its revised fast Fourier transforms are powerful mathematical tool, they are not very good at detecting rapid changes in signals such as seismic data and well test data in petroleum industry containing many structure of different scales (Multi-scale structures) (Guan et al 2004). Fourier coefficients do not provide direct information about the signal local behavior (localization); but the average strength of that frequency in the full signal as the sine or cosine function keeps undulating to infinity.…”
Section: Wavelet Transformmentioning
confidence: 99%
“…Wavelet analysis has been widely used gross error detection, as it can do multi-scale analysis and present the local characteristics of signals in both time and frequency domains [8][9][10][11]. Related methods are also proposed, including wavelet modular maximum denoising method, denoising method based on wavelet transform scale correlation, wavelet shrinkage denoising method and translation invariant wavelet denoising method [12].The wavelet shrinkage method has got great attention due to its strong adaptability.…”
Section: Introductionmentioning
confidence: 99%
“…Известно множество способов сжатия каротажных данных. Часть из них состоит в аппроксимации сигналов базисными функциями , применении вейвлет-преобразования и нейронных сетей [Bernasconi et al, 1999;Guan, Du, 2004;Булаев, Мунасыпов, 2008]. Используются также оконное преобразование Фурье и дискретное косинус-преобразование .…”
Section: Introductionunclassified