Filtering > Wiener filter: Study of the variability of a seismic section

Wiener filter allows passing from a given signal to a desired signal. The Wiener filter is a filter which minimizes (least squares evalution) the difference between the desired signal and the signal estimated by the filter. The source signal can be the signature of a seismic source and the desired signal can be a Dirac's impulsion. In this case, the geophysician talks of spike deconvolution. Applied to a seismic reflection section, the Wiener filter allows calculating the operator which allows passing between a seismic trace and a reference trace. The operator can be unique and applied to the whole section. If the reference trace is issued from well data, for example a stack issued from VSP data or a synthetic trace calcultated from diagraphy data (velocity and density), the Wiener operator allows transforming the seismic trace issued from surface data at the reference trace issued from well data. Surface data are then harmonized relatively to the well data. In this case, the geophysician talks of stratigraphic deconvolution. The Wiener filter can be used to study the spatial variability of a seismic section.