Patent ID: 6188964
Filing Date: 2001-02-13
Classification: G01V

Abstract:
A method for generating surface-consistent residual statics corrections to compensate for surface-consistent static time shifts in stacked seismic traces recorded in common midpoint stacking (""CMP"") of gathers from interfacing between a plurality of seismic sources and receivers, comprising:a. constructing a total stack power E(x), wherein x is a single statics correction vector in an N-dimensional space, N being the sum of the total number of the seismic sources and the total number of the receivers, and the total stack power E(x) is in the form of ##EQU11##g.sub.k (x) being the power for CMP k, k being an integer from 1 to K, K being the total number of the CMP gathers;b. decoupling the total stack power into K components by mapping g.sub.k (X) into g.sub.k (.sup.k v), .sup.k v being a vector in an N.sub.k -dimensional space having components .sup.k v.sub.i, i=1, . . . , N.sub.k, N.sub.k being an integer greater than zero but smaller than N, wherein each vector .sup.k v corresponds to a different one of K components of the total stack power, and each component of each vector .sup.k v represents one seismic trace;c. introducing an objective function f(.sup.k v) having the form off(.sup.k v)=-g.sub.k (.sup.k v);d. iteratively eliminating regions in the N.sub.k -dimensional space where the global minimum is unlikely to exist until a substantially global minimum of the objective function f(.sup.k v) in the N.sub.k -dimensional space is reached;e. obtaining a substantially maximum stack power corresponding to the substantially global minimum of the objective function; andf. accepting the static corrections for the sources and receivers corresponding to the substantially maximum stack power as the surface-consistent residual statics corrections.