Subsurface rocks often contain cracks/fractures with various orientations: aligned, conjugated, and randomly oriented, giving rise to different types of seismic anisotropy. We develop an effective approach for the elastic wave‐scattering theory to accurately calculate anisotropic properties in the presence of single and/or multiple fracture sets. Two specific models, the equivalent aligned crack system and the equivalent orthogonal crack system, are considered for the calculations. The equivalent aligned crack system generates significant anisotropy, while the equivalent orthogonal crack system exhibits weak anisotropy due to the interaction of cracks with different orientations. The theory is applied to interpret acoustic anisotropy measurements acquired in hydraulically fractured formations, where theoretical predictions and measurements are in good agreement.