Two approaches to the problem of ray seismic tomography
DOI:
https://doi.org/10.24028/gzh.0203-3100.v37i1.2015.111330Keywords:
geotomography, nonlinearity, geometrical seismics, Lavrentyev—Romanov linearization, the Taylor approximationAbstract
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.
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