Abstract <p>A problem of numerical modeling of wave reflections that occur during localization of natural and hydraulic fractures is considered using borehole acoustic logging methods. For numerical calculations, we use the spectral element method implemented in the SPECFEM3D software library. The accuracy of numerical solutions for problems of wave propagation from a point source in inhomogeneous anisotropic media is analyzed. An implementation of the Schoenberg linear slip model was added to SPECFEM3D. Calculations for the model scenario of hydraulic fracture identification yield almost identical responses in the borehole for reflected waves from fractures obtained with the Schoenberg model and with an explicit internal structure specification by a fine grid. A significant reduction in the required computational resources is achieved, since explicit fracture calculations require several times more the number of time steps and a larger number of grid points due to the very small transverse cells sizes near and inside the fracture. The use of the spectral element method in combination with the Schoenberg fracture model is one of the promising approaches for modeling the process of borehole acoustic reflections from hydraulic fractures.</p>