Pawan Bharadwaj:

Focused Blind Deconvolution of Seismic Signals

Abstract Focused blind deconvolution (FBD) is a state-of-the-art blind deconvolution algorithm that can simultaneously estimate the subsurface Green's function and the earthquake source signature from the records at multiple receiver stations. The inherent indeterminacy in multichannel blind deconvolution, which is difficult to resolve with the traditional sparsity assumptions on the Green’s functions, is resolved in FBD because it seeks a solution where the Green's functions are maximally "white" (concentrated temporal autocorrelation energy near zero lag) and "front-loaded" (concentrated temporal energy at receivers nearest the source and short times). These assumptions are suitable in the seismic context. FBD allows reliable blind deconvolution of the earthquake records without any of the following prerequisites: knowledge on the focal mechanism of the earthquake; synthetic wave modeling to construct the deconvolution operator; identification or windowing of the body-wave phases; and accurate determination of the source duration.