Application of the Medium Covariance Functions to Travel-time Tomography

The slowness describing the geological structure is assumed to be a representation of a random medium described in terms of the first two statistical moments: the mean value and the medium covariance function. The proposed approach to seismic travel-time tomography enables the equations for the inversion of travel times to be derived without additional subjective a priori information, and the accuracy and resolution of the resulting seismic model of the geological structure to be estimated.