OC-seislet: Seislet transform construction with differential offset continuation

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OC - seislet : seislet transform construction with differential offset continuation a

Many of the geophysical data analysis problems, such as signal-noise separation and data regularization, are conveniently formulated in a transform domain, where the signal appears sparse. Classic transforms such as the Fourier transform or the digital wavelet transform, fail occasionally in processing complex seismic wavefields, because of the nonstationarity of seismic data in both time and s...

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Seislet transform and seislet frame a

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Towards the seislet transform

I introduce a digital wavelet-like transform tailored specifically for representing seismic data. The transform provides a multiscale orthogonal basis with basis functions aligned along seismic event slopes in the input data. It is defined with the help of the wavelet lifting scheme combined with local plane-wave destruction. The main objective of the new “seislet” transform is an optimal seism...

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Theory of differential offset continuation

I introduce a partial differential equation to describe the process of prestack reflection data transformation in the offset, midpoint, and time coordinates. The equation is proved theoretically to provide correct kinematics and amplitudes on the transformed constant-offset sections. Solving an initial-value problem with the proposed equation leads to integral and frequency-domain offset contin...

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Seislet-based morphological component analysis using scale-dependent exponential shrinkage

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ژورنال

عنوان ژورنال: GEOPHYSICS

سال: 2010

ISSN: 0016-8033,1942-2156

DOI: 10.1190/1.3479554