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

p. 4International audienceIn 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