Due to the phenomenon of stress decay in space, the total vertical stress varies with depth in the layered soil stratum. The physical properties of unsaturated soil stratum and the nonuniformity of external load in vertical direction pose significant effects upon the consolidation process, while related works have viewed modest development at present. Therefore, the main objective of this study is to explore the one-dimensional (1D) consolidation patterns of multilayered unsaturated ground considering depth-dependent stress by a semi-analytical procedure. According to the 1D consolidation theory of unsaturated soils put forward by Fredlund and Hasan, the semi-analytical solutions of excess pore pressures and settlement are derived with the combination of Laplace transform and matrix transfer method. Crump's method is then adopted to obtain the analytical solutions in the time domain, and the corresponding computing programs are compiled. Furthermore, the validity work of proposed solutions is conducted by comparing the current solutions in this paper with degenerated ones under constant load in existing literature. Concentrating on the double-layered unsaturated ground, and by considering different physical parameters of separate layer, the 1D consolidation characteristics under depth-varying stress resulting from two-stage load are investigated. The major conclusion can be drawn as that the settlement with constantly distributed stress along depth is overestimated compared with that considering the depth-varying stress.

中文翻译：

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多级深度依赖应力下多层非饱和地基的一维固结

由于空间应力衰减现象，层状土层中总的垂直应力随深度而变化。非饱和土层的物理性质和竖向外荷载的不均匀性对固结过程有显着影响，而相关工作目前进展不大。因此，本研究的主要目的是通过半解析程序探索考虑深度相关应力的多层非饱和地基的一维（1D）固结模式。根据Fredlund和Hasan提出的非饱和土的一维固结理论，结合拉普拉斯变换和矩阵传递方法，推导出超孔压和沉降的半解析解。克伦普' 然后采用s方法得到时域解析解，并编译相应的计算程序。此外，通过将本文中的当前解决方案与现有文献中在恒定负载下的退化解决方案进行比较，来进行所提出解决方案的有效性工作。以双层非饱和地基为研究对象，考虑不同分层物理参数，研究了两级荷载引起的深度变化应力作用下的一维固结特性。可以得出的主要结论是，与考虑深度变化的应力相比，沿深度不断分布的应力的沉降被高估了。通过将本文中的当前解决方案与现有文献中在恒定负载下的退化解决方案进行比较来进行所提出解决方案的有效性工作。以双层非饱和地基为研究对象，考虑不同分层物理参数，研究了两级荷载引起的深度变化应力作用下的一维固结特性。可以得出的主要结论是，与考虑深度变化的应力相比，沿深度不断分布的应力的沉降被高估了。通过将本文中的当前解决方案与现有文献中在恒定负载下的退化解决方案进行比较来进行所提出解决方案的有效性工作。以双层非饱和地基为研究对象，考虑不同分层物理参数，研究了两级荷载引起的深度变化应力作用下的一维固结特性。可以得出的主要结论是，与考虑深度变化的应力相比，沿深度不断分布的应力的沉降被高估了。研究了两级荷载引起的深度变化应力作用下的一维固结特性。可以得出的主要结论是，与考虑深度变化的应力相比，沿深度不断分布的应力的沉降被高估了。研究了两级荷载引起的深度变化应力作用下的一维固结特性。可以得出的主要结论是，与考虑深度变化的应力相比，沿深度不断分布的应力的沉降被高估了。