Wavefield extrapolation in laterally inhomogeneous media by generalized eigenfunction transform method

Zhengsheng Yao & Gary F. Margrave

ABSTRACT

Using separation of variables the wave equation in laterally inhomogeneous media can be spatially separated into two eigen-equations corresponding to the direction of extrapolation and the other transverse direction. The two equations are connected via eigenvalues, which leads to an eigenvalue problem represented by a second order differential equation. This equation can be solved either approximately or exactly. The solutions obtained with different approximations can lead to different methods in seismic exploration seismology.

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