Abstract

The one‐way acoustic wave equations can be derived, using eigenvalue decomposition of the two‐way wave equation in the Fourier domain, in such a manner that the source term and the free‐surface boundary condition are explicitly introduced. The proposed form of the one‐way wave equations is well adapted to seismic reflection modeling because it allows a pressure field recorded at the surface to be extrapolated directly in depth. A numerical example illustrates the appropriate implementation of the source term and the free‐surface boundary conditions. A comparison with a two‐way modeling shows a good agreement of the computed wave fields.

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