Abstract:
Methods based on the inverse continuation of the oscillation field have received a wide use in the processing
of multi-channel seismic prospecting data. Physically, the idea of this approach is clear: a wave field observed on some surface is continued into the medium and backward in time. Mathematically, all continuation algorithms
that are used are based on a scalar model of the wave equation describing sufficiently well the wave nature of
oscillations of individual types, but not taking into account the vector nature of these oscillations. It is well
known that a system of equations of the dynamic elasticity theory (Lame equations) is a more adequate model
for the description of seismic oscillations. In this paper, continuation of the field of elastic oscillations in an
inhomogeneous isotropic medium is considered.
Key words:seismic waves, inverse problem, field continuation, Lame equations.
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