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Naturally fractured reservoirs are anisotropic §systems whose flow characteristics depend on the §fractures network. Their permeability variation is §not only stratigraphic in nature, but is also caused §by the fractures distribution, orientation and §permeability impairment within the fractures caused §by pressure solution or mineralization. The §reservoir becomes more complex when both the matrix §and fracture exhibit anisotropy and have the §capability to flow into the wellbore as in the §double permeability case. Well test analysis in §these reservoirs has been based on the radial flow §model, even when it is widely believed that such §reservoirs are anisotropic. The radial flow model is §however only applicable to purely homogeneous §system. It cannot provide a complete formation §analysis in anisotropic system. This study therefore §presents a new method of estimating permeability §anisotropy in naturally fractured reservoirs. The §maximum permeability is attributed to the large §scale fractures while the minimum permeability may §be due to the small scale fractures orthogonal to §the large scale fractures or the matrix.