The equations of viscoplastic fluid flow through a porous medium are written all types of anisotropy. It is shown that in anisotropic media, flows with a limiting gradient are characterized by two material tensors: the tensors of permeability (flow resistance) coefficient and the tensors of limiting gradient. A complex of laboratory measurements for determining the tensors of permeability coefficient and limiting gradient is considered for all types of anisotropy media. It is shown that the tensors of permeability coefficient and limiting gradient are coaxial. Conditions of flow onset and fluid flow laws are formulated for media with monoclinic symmetries of flow characteristics.
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