| Seismic data reconstruction is an important practical prerequisite for the most complete "full wavefield" seismic processing algorithms (e.g., in multiple attenuation and imaging) that expect a real coverage on the measurement surface.; The objectives are to develop a clear and complete conceptual framework for data reconstruction of the entire wavefield at the measurement surface, that includes all seismic events (primaries and multiples), and to develop practical algorithms for interpolation and extrapolation that adhere to this framework.; I analyze an aperture-limited migration algorithm with constant background velocity for an acoustic earth, and study the ability to interpolate and extrapolate with different starting apertures in the pre-critical and post-critical zones using a non-asymptotic forward wave analysis. Data reconstruction with multiples is also tested, and the implications for free surface multiple removal are considered.; I conclude that, with this approach, seismic data reconstruction can be done effectively in the pre-critical region using data recorded at pre-critical offsets. Extrapolating from post-critical to pre-critical offsets confronts us with phase problems due to the reflectivity in the post-critical region. |
