Anisotropy

Anisotropy is the variation of wave velocity with direction due to the elasticity tensor being other than the simplest case of isotropic. It is reviewed in Slawinski (2003), Helbig (1994, 2001), MacBeth (2002) and many others. Wardlaw (2002) and Sheriff and Geldart (1995) review related rock properties.

My analysis of equations of motion, and any seismic amplitude modelling based on that analysis, will have to include the cases of both anisotropy and inhomogeneity. However, the mathematics may first be tested on simple cases with other known solutions to ensure that it works in those instances. Or, as in subsection 2.2 below, the complicated case can be solved and then the elasticity matrix set to that for isotropy in order to see if the solution reduces to that for isotropy.