  The anisotropy of an equivalent medium resulting from the Backus (1962)
average is induced by the vertical inhomogeneity among its constituent layers.
The velocity field of the constituent isotropic layers increases linearly with
depth, which is assumed to be a good seismological description of sedimentary
layers Slotnick (1959). We derive an analytical relationship between the
anisotropy, characterized by the Thomsen (1986) parameters, and the linear
inhomogeneity parameters, which forms a system of three equations for nine
unknowns. To obtain well-posedness, we constrain the problem by considering two
seismological methods applied to field data. We use the results from the two
methods, for a particular region of interest, to assess the validity of the
analytical relation.
