Concluding Remarks

This paper extends the theory of Riemannian wavefield extrapolation to prestack shot-profile migration. An elliptic coordinate system is chosen because it generally conforms to the direction of propagation and allows high-angle propagation of source and receiver wavefields. Post-stack migration results of an overturning wavefield data set validate the approach, while the 2D prestack imaging results show that the RWE migration algorithm generates high-quality migration images equal to, or better than, the corresponding Cartesian domain. Finally, because one can develop analytic extrapolation wavenumbers, we argue that parametric coordinate systems are an optimal trade-off between the competing constraints of dynamic constraints and simplicity in coordinate system design.