In this paper we developed 3-D finite difference method to simulate using a scaled borehole model in phenolite solid. It also used to wave propagations in an anisotropic medium. The finite difference results agree excellently with the analytic solutions of a point force interprete the field data, which shear wave velocity discrepancy occures. source in the transversely isotropic medium. The finite difference synthetics are also compared with ultrasonic lab measurements in Finite Difference Method in an Anisotrogic Medium a scaled borehole drilled along X axis in an orthorhombic phenolite solid. Both monopole and dipole logs agree well. Wave propagation in an anisotropic elastic medium can be deThe disagreement between the shear wave velocity from the scribed by the equation of motion: Stoneley wave inversion and the direct shear wave log velocity from field data is beyond the errors in the measurements. It is proven that the formation permeability is not the cause of the discrepancy. (1)