AVO is one aspect of seismic analysis that is largely used in industry. In this report, an examination of amplitude modelling, as typically viewed from a surface seismic acquisition experiment, is performed. The basis of this work is driven primarily by the research of Russell, Gray, and Hampson and their f − m − r equation which is a linear poroelastic AVO formulation that quantiﬁes ﬂuid in the target medium. We would like to extend that formulation by showing the method in which non-linear poroelastic AVO approximations are derived in terms of models using two different sets of model parameters. The ﬁrst that will be shown is in terms of perturbation and the other is reﬂectivity. Their analytical expressions will be shown for 1st order (linear), 2nd order (non-linear), and 3rd order (non-linear). Once we have shown all six poroelastic approximations, we will display the results against a synthetic model to view the variations that occur between each approximation. We will also show the stability that each approximation holds in an exercise that tests various modelling parameters.
View full article as PDF (0.58 Mb)