We present an improved multiple tip wave superposition method (MTWSM) for the 3-D seismic modeling in multilayered media in terms of the Kirchhoff type integrals. The main improvement consists in correct description of their boundary values by the reflection/transmission operators. The high-frequency approximation of the operators (effective coefficients) generalizes the plane-wave coefficients used in the conventional seismics and allows adequate reproduction of multiple reflections and transmissions accounting for the nearcritical effects. To show the potential of the MTWSM we give results of the Green’s function modeling for a strong-contrast curvilinear interface in two-layered acoustic medium.


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