Abstract
AbstractA first‐order one‐way wave system has been created based on characteristic analysis of the acoustic wave system and optimization of the dispersion relation. We demonstrate that this system is equivalent to a third‐order scalar partial‐differential equation which, for a homogeneous medium, reduces to a form similar to the 45° paraxial wave equation. This system describes accurately waves propagating in a 2D heterogeneous medium at angles up to 75°.The one‐way wave system representing downgoing waves is used for a modified reverse time migration method. As a wavefield extrapolator in migration, the downgoing wave system propagates the reflection events backwards to their reflectors without scattering at the discontinuities in the velocity model. Hence, images with amplitudes proportional to reflectivity can be obtained from this migration technique. We present examples of the application of the new migration method to synthetic seismic data where P‐P reflections P‐SV converted waves are present.Absorbing boundaries, useful in the generation of synthetic seismograms, have been constructed by using the one‐way wave system. These boundaries absorb effectively waves impinging over a wide range of angles of incidence.
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