Comparison of three Kirchhoff integral formulas for true amplitude inversion

Hassan Khaniani, Gary F. Margrave, John C. Bancroft

Estimation of reflectivity is an objective of true amplitude inversions. True estimation of reflectivity requires removing other influences on amplitude of the wavefield than reflectivity (e.g., geometrical spreading). This work summarizes and compares the literatures for three different theoretical approaches for true amplitude Kirchhoff depth migration inversion. These approaches are using paraxial ray theory, inverse scattering and applying imaging condition on downward continuation of seismic data. To provide a comparison, in the final section weight functions are compared for a common source configuration, using a constant velocity model. The result shows that they are very similar.