La función característica de punto de Hamilton y la función de tiempos de difracción de la sísmica geométrica en la migración con amplitudes verdaderas

Resumen

Using the paraxial ray theory in the second order approximation of the traveltimes, we can estimate the traveltime function of a wavefront coming from a reflector, and in consequence calculate the diffraction traveltime function associated with a diffractor point located on the reflector. The numerical knowledge of those two functions makes possible a process to migrate stacked sections in time, process which generate images of seismic sections with true amplitudes. The restitution of the wave amplitude is made using an operator which depends of the parameters of the traveltime function A differentiation filter is applied to the migrated sections in order to obtain the original wave phase. Layered models with smooth interfaces are used.