Two numerical solutions of one-dimensional consolidation equation of non-Darcy flow

It was found that the discrepancy in the predictions of foundation settlements of low permeable and saturated clay foundation was greater when the result obtained by using Terzaghi's one-dimensional consolidation theory was compared with that obtained actually.One of its reasons was the use of Darcy law for the seepage.By using the non-Darcy seepage equation with consideration of initial hydraulic gradient and the other postulations in Terzaghi's theory,the one-dimensional consolidation equation was modified.The finite volume method and the finite difference method were respectively introduced to solve the modified equation.The analytical results of the seepage front and the degree of consolidation for the case of the single-sided drain indicated that both of the so numerical methods were applicable for this problem while the finite volume method possessed a better convergence.