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In the present paper the experimental method for determination of absolute and phase permeability for anisotropic reservoirs are represented. The method for determination a structure of permeability tensors on the core samples bases on combined usage of two methods: on measurements of ultrasonic waves’ propagation velocities and on measurements of elastic static deformations. The combined usage of two methods is necessary for anisotropy type definition of core sample (transversely isotropic, orthotropic, monoclinic or triclinic). The results of the method usage for determination of absolute and phase permeability for anisotropic reservoirs are presented. Within the bounds of suggested method it’s possible to determine tensor of limiting gradients and construct non-linear fluid flows laws. Suggested method makes it possible to optimize direction of lateral drilling and field development system on the whole.