Wavelet Transforms and Their Recent Applications in Biology and Geoscience 2012
DOI: 10.5772/35307
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Multiscale Analysis of Geophysical Signals Using the 2D Continuous Wavelet Transform

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Cited by 10 publications
(6 citation statements)
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References 21 publications
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“…where ( ) s t is the seismic trace, ( ) r t is the reflectivity, ( ) , R m f represents ( ) r t shifted by m samples related to ( ) s t in the time domain, f is the frequency, S(f) is the Fourier transform of s(t), and stab is a small factor that guarantees the stability of the coherence function. This function calculates the proportion of energy in the seismic traces that can be predicted by the well data [8,10,11]. The maximum of this function corresponds to the best alignment between the well and the seismic data, from which the wavelet is extracted by performing a simple deconvolution in the frequency domain [12].…”
Section: Roy White Wavelet Extraction Methodsmentioning
confidence: 99%
“…where ( ) s t is the seismic trace, ( ) r t is the reflectivity, ( ) , R m f represents ( ) r t shifted by m samples related to ( ) s t in the time domain, f is the frequency, S(f) is the Fourier transform of s(t), and stab is a small factor that guarantees the stability of the coherence function. This function calculates the proportion of energy in the seismic traces that can be predicted by the well data [8,10,11]. The maximum of this function corresponds to the best alignment between the well and the seismic data, from which the wavelet is extracted by performing a simple deconvolution in the frequency domain [12].…”
Section: Roy White Wavelet Extraction Methodsmentioning
confidence: 99%
“…ΔY is the grid dimension in the Y direction. Ouadfeul and Aliouane (2011, 2013 have shown that the CWT method is less sensitive to noise compared to the horizontal and full gradient methods; this is because CWT is a low-pass filter which attenuates highfrequency noise, whereas the horizontal and full gradient techniques are based on derivative operations which amplify high-frequency noise. One can observe that the DCWT process is able to detect with excellent precision the boundaries of each body.…”
Section: The Meter Readermentioning
confidence: 99%
“…In seismic data processing the CWT is used for noise attenuation and seismic imaging (Ouadfeul et al, 2011a;Ouadfeul and Aliouane, 2011b). In potential field data analysis, it was used for structural boundaries delimitation and causative sources characterization (Ouadfeul et al, 2011c;Ouadfeul et al, 2012a;2012b). In seismology the wavelet transform is used for earthquakes characterization (Dimri et al, 2005).…”
Section: Introductionmentioning
confidence: 99%