Аннотация:We present an efficient and accurate numerical algorithm for the simulation of sonic logging experiments. The basis of the approach is a heterogeneous spectral element method implemented on multi‐GPU applied to acoustic‐elastic wave equation. The approach was designed to simulate wave propagation in 3D arbitrary anisotropic elastic media with attenuation for a constant Q via standard linear solid using the τ method. Due to the use of an unstructured grid, the spectral element algorithm enables handling tools in a fluid‐filled borehole with surrounding geological models of big complexity. We compare results with analytical solutions and discuss results and computational efforts of simulation for arbitrary anisotropic inhomogeneous models.