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非达西渗流时一维固结方程的两种数值解法 被引量:5

Two numerical solutions of one-dimensional consolidation equation of non-Darcy flow
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摘要 Terzaghi一维固结理论对低渗饱和地基沉降的预测值与实际值之间存在较大误差,原因之一在于其假定地基的渗流符合Darcy定律.在采用考虑起始水力梯度的非Darcy渗流方程和承认Terzaghi一维固结理论其他假定的基础上,重新推导了饱和粘土一维固结方程,并分别给出了有限差分法和有限体积法的离散格式.对单面排水情况下渗流前锋和固结度的计算结果证明了两种数值方法的适用性,而有限体积法具有更好的收敛性. 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 equatiorL 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.
出处 《兰州理工大学学报》 CAS 北大核心 2007年第3期128-131,共4页 Journal of Lanzhou University of Technology
基金 东莞科技计划(2006-117)
关键词 固结理论 非DARCY渗流 起始水力梯度 有限体积法 有限差分法 consolidation theory non-Darcy seepage flow initial hydraulic gradient finite volume method finite-difference method
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