Methods and apparatuses characterize fracture orientations in orthorhombic adjacent layer. Seismic data with azimuthal coverage enables calculating Fourier coefficients of reflectivity at an interface between the orthorhombic adjacent layers. The phases of 2nd and 4th FCs may be used to infer the fracture orientations in the orthorhombic adjacent layers. Analysis of 2nd and 4th Fourier coefficients' phases for different incidence angles may indicate that the fracture orientations in the orthorhombic adjacent layers are aligned, orthogonal, at 45°, that one of the layers is isotropic, etc.