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Many reservoirs (bath hydrocarbon-hearing and aquifers) are fractured, and mach work has been carried to characterize their proporties and to simulate tluid flow through them. Due to stress fields, fractures are frequentty aligned, giving rise to anisotropic proporties. In particular, for a reservoir with parallel fractures, fluid flow will be much stronger in one direction than in another. One method of detecting fracture orientation, is using seismic measurements. In this abstract, we show how seismic anisotropy depends on microscopic proporties, such as the elastic compliance within a fracture, and how seismic anisotropy can be used to predict permeability anisotropy.