Sensitivity of velocity-less imaging using horizontal slownesses in 3D

Abstract

We consider signal propagation in one layer with a constant velocity-gradient: layer in which the signal velocity increases linearly with depth. We use the traveltime and the four derivatives of the traveltime with respect to the locations of the source and receiver in a 3D medium to find the reflector and the velocity. Since this presented method relies on the horizontal slownesses, we show the sensitivity of the method to the errors in the slownesses.