Layer Matrices for Wave Propagation in Porous Media

Introduction An important aspect when linking petrophysical data to surface seismic data is the generation of synthetic seismograms from logging data. Nowadays the synthetic seismograms are generated for the geometry as in Vertical Seismic Profiles (VSP) and are then compared to the observed VSP. An assumption in this approach is that the velocities as picked up by the logging instrument are the same as the velocities as picked by the VSP measurement i.e. the velocity is frequencyindependent. In practice however the velocity turns out to be frequency-dependent. At the low frequencies as used in seismic for oil-industry purposes it does