We analyze the properties of the modeling matrix for a given set of anisotropic Thomsen parameters; we use the Thomsen parameters of the Taylor Sand () described in (11) and a flat reflector. So that the anisotropic migration velocities can be resolved, we also assume that the vertical velocity V_{v} is known, as is usually assumed in the literature and is sometimes the case in practice (e.g. from check shots or well logs).
In the following, we analyze the accuracy of the inversion as well as the trade-off between the different parameters by looking at the condition number of the matrix and its right-hand singular vectors, respectively.