  We present a strategy for selecting the values of elasticity parameters by
comparing walk-away vertical seismic profiling data with a multilayered model
in the context of Bayesian Information Criterion. We consider $P$-wave
traveltimes and assume elliptical velocity dependence. The Bayesian Information
Criterion approach requires two steps of optimization. In the first step, we
find the signal trajectory and, in the second step, we find media parameters by
minimizing the misfit between the model and data.
