Stability and Efficiency in a Joint Compensation For Absorption and Deconvolution

This paper discusses the benefits of jointly inverting for inelastic absorption and convolution in daily processing flows. Efficiency and stability are shown to be mainly a consequence of a proper treatment of the (quasi) null space associated with the combination<br>of these two processes rather than to the original signal to noise ratio available. For the sake of clarity, singular value decomposition is used for discussing and constructing the pseudo-inverse for the combined process. A simplified assumption of a time-dependent absorption model is used.