In this paper we present an efficient and accurate numerical algorithm for simulation of sonic logging experiments. The basis of the approach is a heterogeneous finite difference method applied to acoustic-elastic wave equation written in velocity-stress formulation. The approach was designed to simulate wave propagation in 3D arbitrary anisotropic elastic media with attenuation. Moreover due to universality of heterogeneous finite-differences the algorithm allows to handle with surrounding models of extreme complexity. We also present and discussion results of simulation for arbitrary anisotropic inhomogeneous models.
