Abstract: A non-Darcy flow model is introduced and analyzed.With the model,Terzaghi’s one-dimensional consolidation model is modified,and a numerical calculation is used to solve the new Terzaghi model.The regular pattern of consolidation process is analyzed and the results indicate that the excess pore water pressure dissipated slowly is one of the causes of the secondary consolidation.The effect of the initial hydraulic gradient,critical hydraulic gradient,instantaneously applied load and soil thickness on consolidation process is discussed,and the formula to determine the scope of application of non-Darcy flows is introduced.