Abstract: Through example calculation,the preferred flowing path developed in positive rhythm thick oil reservoir is not in line with Darcy linear flow but is consistent with non-Darcy flow with high velocity.Aiming at characteristic parameters of preferential flowing path,a theoretical analysis has been adopted to solve non-Darcy flow with high velocity model,pressure distribution and productivity has been calculated out.The index comparison between that of Darcy linear flow indicates linear flow could not be used to approximately re place non-Darcy flow with high velocity in dynamic analysis and index calculation.