Simultaneous Denoising and Enhancement of Seismic Signals by a Fractal Conservation Law

Meng, F.L.; Li, Y.; Lin, Hank; Deng, X.Y.

doi:10.3997/2214-4609.20141589

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2016

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“…The fractal conservation law (FCL) filtering method (Azerad et al, 2012), which is simply the forward heat equation modified by a fractional anti-diffusive term of lower order, has been successfully applied for seismic data denoising (Meng et al, 2014(Meng et al, , 2015 and was demonstrated to exhibit good performance compared to time-frequency peak filtering (TFPF) (Boashash and Mesbah, 2004;Roessgen and Boashash, 1994). By using an integral formula, which is based on Taylor-Poisson's formula and Fubini's theorem for an anti-diffusive term, and then taking the Fourier transform of the equation, the frequency response can be derived.…”

Section: Introductionmentioning

confidence: 99%