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.
Seismic model, travel--time tomographic inversion, covariance functions and matrices, smoothing, resolution.
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Klimes, L.: Application of the medium covariance functions to travel-time tomography. Pure and Applied Geophysics, 159 (2002), 1791-1810.