Generalized linear inversion applied to seismic data in one and two dimensions

Generalized linear inversion (GLI) is a parameter estimation technique which shows great potential for use in solving inverse problems in many fields, including exploration seismology. We suggest a particular implementation of the procedure which may be used for simultaneous parameter estimation, and illustrate its use with the 1-D seismic deconvolution problem. The procedure is easily extended to the multidimensional case, and we illustrate this extension by computing depth and velocity structure in a flat-layer model using multiple offset data.