Abstract: The axisymmetric flows in anisotropic porous medium could be solved by the same method used in plan flows,that was,reducing the horizontal dimension or enlarging the vertical dimension of the field.But the results were different from those of the plan problems.According to the research results,if the radial dimension was reduced,the equivalent permeability coefficient of the reduced field was the horizontal permeability coefficient kh;and if the axial dimension was enlarged,the equivalent permeability coefficient of enlarged field was the mean permeability coefficient √kh kv.