Abstract
The dispersion relation derived by Futterman (1962) for an absorption model which is linear with frequency has been analyzed. For the case of an impulsive source, it has been found that the relation can be viewed as a frequency-dependent time rescaling, which transforms into a simple frequency-dependent inverse frequency rescaling. This frequency rescaling is conveniently referenced to a so-called base frequency of the user's choice. This eliminates any need for specifying Futterman's low cutoff frequency and, furthermore, allows the user to preserve the overall time scaling of seismic data while bringing the seismic events into better 'focus' with dispersion removal or correction.Examples of applications of the technique to both introduction of dispersion into synthetic seismic data and removal of dispersion from seismic data are shown. The synthetic data show that the linear absorption model is causal only when accompanied by dispersion.
