Two homogeneous anisotropic examples

How does the method work for homogeneous anisotropic models? The middle plot in Figure 2 shows a somewhat anisotropic model. The isotropic plot on top shows the SV wave for ${\hbox{\rm C}}_{11} = 1.$,${\hbox{\rm C}}_{33} = 1.$,${\hbox{\rm C}}_{55} = .3$, and ${\hbox{\rm C}}_{13} = .4$.For the middle plot, we set ${\hbox{\rm C}}_{13} = .3$.The theoretical and calculated curves for this model overlay one another about as well as they did for the isotropic example.

The bottom plot in Figure 2 is more interesting. Here we have set ${\hbox{\rm C}}_{13} = 0.$, resulting in an extremely anisotropic model. The homogeneous qSV wave has a multi-valued traveltime. The traveltime extrapolation method cannot be multivalued, and instead ``cuts off'' the triplication in an interesting way.