Abstract: A method of analyzing the structure of a medium particularly useful in seismic prospecting, by generating seismic data represented by recorded traces corresponding to a plurality of source and receivers distributed according to a homeomorphic distribution with respect to predetermined central points in a manner providing predetermined parameters and one-to-one mapping of each element of a target object into an element of its homeomorphic image. A gather of corrected traces is formed and stacked to obtain stacked wavefield characteristics as functions of the time of registration of the data on a predetermined central trace. The stacked wavefield characteristics for a plurality of central traces, and the mentioned predetermined parameters, are then utilized for determining the structure of the medium.

Abstract: Method of analyzing the structure of a medium by means of waves reflected by inner interfaces, comprises: (a) generating multiple coverage data represented by traces corresponding to a plurality of source-receiver pairs distributed according to an asymetric polynomial distribution with respect to a predetermined central point with optimal parameters which provide that all reflected events of such traces correspond to the same common reflecting point on a reflecting interface; (b) correcting the recorded traces according to an optimal time delay correction which converts all reflected events to the same phase and which depends on the local parameters of wave propagation velocity Vo at the reference level, and of radius of curvature r.sub.o of the wavefront emitted by a fictitious source located at the common reflecting point and coming to the central point at an angle of entry .beta.