Geophysical Journal | 2015 volume 37 1

Two approaches to the problem of ray seismic tomography

© T.A. Tsvetkova, 2015

Approximation of nonlinear geophysical medium as a linear one substantiates a transition to geometrical seismics based on geometric optics. Conditions, necessary and sufficient for application of geometrical optics bring possibility of linearization the eikonal equation and produce two approaches in the problems of seismic tomography: a classical Lavrentyev-Romanov linearization and the Taylor approximation.

Key words: geotomography, nonlinearity, geometrical seismics, Lavrentyev-Romanov linearization, the Taylor approximation.

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