In exploration seismics the geophysicist has to face two fundamental problems during data processing, namely the recovery of the source pulse, and thereafter the solution of the inversion problem, i.e. the extraction of the reflectivity series of the medium under investigation. This research adresses to both problems in a specific measurement configuration. We demonstrate the estimation of an arbitrary (i.e. mixed-delay) source wavelet and of the medium reflectivity from point-source seismograms obtained from a vertical double-streamer experiment. We assume the medium to be acoustic and horizontally stratified bounded or not bounded by a free surface above and a homogeneous acoustic half space below.


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