ICA with Homomorphic Deconvolution Based Seismic Blind Deconvolution

The independent components analysis (ICA), is introduced to improve the traditional homomorphic seismic deconvolution here. Neglecting noise, to facilitate this, the seismic record is changed from time domain to complex cepstrum domain in order to transform the common seismic model to the basic ICA model. By applying FastICA algorithm, reflectivity series and the seismic wavelet can be produced in complex cepstrum domain and changed back to the time domain subsequently. The synthetic and real seismic data numerical examples all show the algorithm valid. The advantage of this new method is to inverse blindly the wavelet and the reflectivity at the same time effectively with no assumption of Guassality and whiten noise to reflectivity, and no assumption of minimum phase to seismic wavelet. The algorithm referred here is an updated version of homomorphic deconvolution for seismic signals blind deconvolution and worth doing more researches.