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在Terzaghi一维固结理论的基础上,提出了一个从透水到不透水的双面不对称连续排水边界条件,建立了广义Terzaghi固结理论,并给出其解答。对其解答进行分析发现:修正后的固结方程的边界条件能严格满足其初始条件;通过变化边界条件中的参数,可以得到包括Terzaghi一维固结理论解答在内的连续解,从而弥补了Terzaghi固结理论只能考虑透水和不透水这两种极端情况的不足;通过调整边界条件中的参数,还可以用来模拟实际土层上下两面透水性不同的情况;对其结果进行级数项数的研究,固结系数取不同值时,级数取一项或多项,均能满足精度要求。所以该理论把Terzaghi一维固结理论推广到了更为一般的情况,而且其结果可以很方便地推广到工程应用中。
Based on the Terzaghi one-dimensional consolidation theory, a two-sided asymmetric continuous drainage boundary condition from percolation to impermeability is proposed. The generalized Terzaghi consolidation theory is established and its solution is given. The analysis of the solution shows that the boundary conditions of the modified consolidation equation can strictly satisfy the initial conditions. By changing the parameters in the boundary conditions, the continuous solutions including the Terzaghi one-dimensional consolidation theory solution can be obtained, which makes up Terzaghi’s theory of consolidation can only consider the insufficiency of the two extreme cases of water and impervious water. By adjusting the parameters in the boundary conditions, Terzaghi’s consolidation theory can also be used to simulate the different water permeability of the upper and lower soil layers. Number of studies, when the consolidation coefficient to take different values, the series take one or more, can meet the accuracy requirements. Therefore, the theory generalizes the Terzaghi one-dimensional consolidation theory to a more general case, and the results can be conveniently applied to engineering applications.