Effect of reflector shape on seismic amplitude and phase

Abstract Using the method of multidimensional stationary phase, we have evaluated the infinite spectral integrals to obtain explicit expressions for the zero-offset seismic reflection response of an arbitrary shaped three-dimensional surface. The resulting equations combine the kinematic properties of the image (geometry of transmitters/receivers and structure) with the dynamic (amplitude and phase) information. The formulation clearly shows the influence of reflector gradient and bed curvature on the seismic signal.