Reweighting strategies in seismic deconvolution

Reweighting strategies have been widely used to diminish the influence of outliers in inverse problems. In a similar fashion, they can be used to design the regularization term that must be incorporated to solve an inverse problem successfully. Zero-order quadratic regularization, or damped least squares (pre-whitening) is a common procedure used to regularize the deconvolution problem. This procedure entails the definition of a constant damping term which is used to control the roughness of the deconvolved trace. In this paper I examine two different regularization criteria that lead to an algorithm where the damping term is adapted to successfully retrieve a broad-band re reflectivity. Synthetic and field data examples are used to illustrate the ability of the algorithm to deconvolve seismic traces.