Wavelet estimation in homomorphic domain by spectral averaging, for deconvolution of seismic data

Mohamed Tria (1) , Mirko van Der Baan (2) , Anthony Larue (1) , Jerome I. Mars (3)

1 GIPSA-lab - Grenoble Images Parole Signal Automatique
2 Department of Earth Sciences [Leeds]
3 GIPSA-SIGMAPHY - GIPSA - Signal Images Physique

In geophysics, a homomorphic system is used to modelize the convolution of an emitted wavelet (source) with the impulse response of the earth into the sum of the log spectra of the wavelet and the earth's response. If the source function is supposed to be stationary and the earth's response spatially nonstationary, by averaging the log spectra of several random reflection records, the log spectrum of the wavelet will be enhanced and the log spectrum of the earth's response will average out. In this paper, we take an interest in the application of the above method on synthetic seismic data, for estimating the theoretical wavelet spectrum. Then, the wavelet estimate is used to deconvolve the data for obtaining the earth's response.

Mots clés: blind deconvolution; wavelet estimation; seismic imagery

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Mohamed Tria, Mirko van Der Baan, Anthony Larue, Jerome I. Mars. Wavelet estimation in homomorphic domain by spectral averaging, for deconvolution of seismic data. PSIP 2007 - Fifth International Symposium on Physics in Signal and Image Processing, 2007, Mulhouse, France. ⟨hal-00138170⟩