Abstract

In our earlier work we proposed an alternative approach to the Koketsu's 2D reflectivity method. This asymptotic method, based on tangent plane approximation for reflection coefficients is more stable and efficient and provides accurate results when applied to laterally inhomogeneous media. This method, however, is limited to a special case of lateral inhomogeneity induced by curved interfaces with homogeneous layers. Here we propose an extension of this method to a general case of laterally varying media in which seismic wave velocities can have continuous and discontinuous changes in three‐dimensional space. Our approach is based on Pseudo Differential Operators (PDO) Theory and invariant embedding. Finally we compare the performances of the two methods for some realistic models.

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