Anisotropy matching filtering for attenuation of seismic migration artifacts
An anisotropic filtering method for deblurring complex seismic images from seismic data acquired from anisotropic earth formation. The algorithm is tested using synthetic data. Results demonstrate its effectiveness.
1. A method for attenuation of seismic migration artifacts, comprising:
obtaining a volume of seismic data of an earth formation;
dividing the data volume into a plurality of sub-volumes of data to obtain a degraded seismic image m′;
calculating a blurring kernel f for each of the plurality of sub-volumes of data, wherein the blurring kernel f is obtained by calculating anisotropy seismic wavefield Green's function G;
performing matching filter for each of the plurality of sub-volumes of data by applying inversion of the blur kernel f′ to the degraded seismic image m′ to obtain a reconstructed seismic image m;
and
reconstructing an estimated seismic image of the earth formation using the reconstructed seismic image m from each of the plurality of sub-volumes.
2. The method of claim 1 , wherein each of the sub-volumes of data is a slice of data volume or a cube of data volume.
3. The method of claim 1 , wherein the blurring kernel f=(G′G), in which G is used a forward modeling engine and G′ is a migration propagation engine that is approximated as an inversion of G.