Seismic Modeling by Gaussian Beams Limited by Projected Fresnel Zone

The Gaussian Beam (GB) is an asymptotic solution of the elastodynamic equation in the paraxial vicinity of a central ray, which approaches better the wave field than the standard zero-order ray theory. The GB regularity in the description of the wave field, as well as its high accuracy in some singular regions of the propagation medium, provide us with a strong alternative to solve seismic modeling and imaging problems. In this paper, we use the concept of the projected Fresnel zone to limit the superposition integral of Gaussian beams, in order to obtain a more stable Gaussian beam propagation. This result is used to calculate synthetic seismograms with more effectiveness.