The traditional drainage boundary regards the drainage boundary as completely permeable or completely impervious. However, the drainage boundary is an impeded drainage boundary between completely permeable and impervious in engineering practice. In view of this, a new drainage boundary, namely the continuous drainage boundary, is introduced in this paper to study the consolidation problem of layered soils. First, the governing equations for the one‐dimensional consolidation problem of layered soils subjected to a ramp load are established. Then, the analytical solution of excess pore water pressure and average consolidation degree is derived by means of Laplace transform and matrix transfer method. The present solution is verified by degenerating it and comparing with existing solutions. Based on the present solution, the consolidation behavior of the layered soils is investigated by conducting a detailed parametric study. The results show that, both the interface parameters of boundaries and the stratification of the layered soils can heavily affect the distribution of the excess pore water pressure along the depth, thereby influence the plane of the maximum excess pore water pressure. Therefore, the interface parameters of boundaries and the soil stratification should be comprehensively considered in the optimization for the horizontal drains.

中文翻译：

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基于连续排水边界的斜坡荷载作用下层状土的一维固结

传统的排水边界将排水边界视为完全可渗透或完全不可渗透的。然而，在工程实践中，排水边界是完全可渗透和不可渗透之间的阻碍排水边界。有鉴于此，本文引入了一种新的排水边界，即连续排水边界，以研究层状土的固结问题。首先，建立了斜坡荷载作用下层状土一维固结问题的控制方程。然后，利用拉普拉斯变换和矩阵传递法，推导了超孔隙水压力和平均固结度的解析解。通过对现有解决方案进行退化并与现有解决方案进行比较来验证本解决方案。根据目前的解决方案，通过进行详细的参数研究来研究层状土的固结特性。结果表明，边界的界面参数和分层土壤的分层都会严重影响过剩孔隙水压力沿深度的分布，从而影响最大过剩孔隙水压力的平面。因此，在优化水平排水沟时，应综合考虑边界和土壤分层的界面参数。从而影响最大多余孔隙水压力的平面。因此，在优化水平排水沟时，应综合考虑边界和土壤分层的界面参数。从而影响最大多余孔隙水压力的平面。因此，在优化水平排水沟时，应综合考虑边界和土壤分层的界面参数。