A test case illustrates the potentiality of a new non-hyperbolic formulation approximating the time of flight of diffracted acoustic signals propagating in a 2D non-homogeneous medium. The traveltime expression is based on the primary kinematic response of a diffractor and is calculated with respect to a reference ray emerging with an elevation angle a0 and carried to the surface by a wavefront with radius of curvature R. First, the problem is formulated in the auxiliary homogeneous medium. The resulting time of flight is then used to synchronize, via a homeomorphic transformation, the real medium wavefront to that of the auxiliary one. The final formula has been implemented, within a unique data-driven imaging procedure, to stack seismic traces to offset zero or time migrate them before stacking without a velocity model.

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