The ray-matrix method can extend the applicability of ray methods to 3-D heterogeneous velocity models containing thin stacks of fine isotropic or anisotropic layers. A simple 1-D velocity model, consisting of a low velocity layer covering a homogeneous halfspace, is used to compare the ray-matrix synthetic seismograms with the finite-difference synthetic seismograms. The agreement between the ray-matrix and finite-difference synthetic seismograms is very good. Moreover, the ray-matrix seismograms do not suffer from the reflections from the nonreflecting boundaries typical for finite differences, from extremely thin layers, and from anisotropy.
Ray methods, matrix methods, Green function, synthetic seismograms.