Abstract
An algorithm for fast computation of 2D asymptotic Green’s functions is presented. It is based on paraxial ray tracing and interpolation of ray-traced variables. It has been designed for migration/inversion and the velocity field is assumed to depend smoothly on model point coordinates. Sampling of ray field is performed along rays by a wavefront expansion method. A new ray density criterion is introduced. It is based on paraxial ray theory and controls precision of interpolation. Multivaluedness is taken into account and paraxial (dynamic) ray parameters are calculated allowing estimation of amplitudes. Traveltime and amplitude maps are calculated by interpolation of the discrete ray field sampling over a dense regular grid of points. Asymptotic Green’s functions can be estimated by classical ray theory or by Maslov summation in the region of caustics. INTRODUCTION
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