The geological medium 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 correlation function. The proposed approach to the seismic travel-time tomography enables to derive the equations for the inversion of travel times without additional subjective a priori information, and to estimate the accuracy and resolution of the resulting seismic model of a geological structure.
Seismic model, travel-time tomographic inversion, covariance functions and matrices, smoothing, resolution.
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Klimes, L.: Accuracy and resolution of the travel-time tomography. In: Seismic Waves in Complex 3-D Structures, Report 6, pp. 13-24, Dep. Geophys., Charles Univ., Prague, 1997.
Klimes, L.: Application of the medium covariance functions to travel-time tomography. In: Seismic Waves in Complex 3-D Structures, Report 11, pp. 73-89, Dep. Geophys., Charles Univ., Prague, 2001.
Klimes, L.: Application of the medium covariance functions to travel-time tomography. Pure and Applied Geophysics, 159 (2002), 1791-1810.
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