Abstract
Methods based on downward continuation of an oscillation field have received wide recognition in the processing of multichannel seismic prospecting data. Physically, the idea behind this approach is clear: a wavefield observed on some surface is continued into the medium and backward in time. Mathematically, all the continuation algorithms used are based on scalar wave equation modeling, which takes proper account of the wave nature of oscillations of some types, but defies consideration of their vector nature. It is well known that a system of equations of dynamic elasticity theory (Lame equations) is a more adequate model for describing seismic oscillations. In this paper, a continuation of a field of elastic oscillations in an inhomogeneous isotropic medium is considered.
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