Approximate Analytical Solutions for One-Dimensional Consolidation of a Clay Layer with Variable Compressibility and Permeability under a Ramp Loading

Measurement and Investigation on 1-D Consolidation Permeability of Saturated Clay considering Consolidation Stress Ratio and Stress History

“…(1) When expressed by the permeability coefficient prediction equations proposed by Gao et al [40], there were 12 Geofluids where R is the radius of the capillary (cm); η is the dynamic viscosity coefficient of free water (g•s•cm -2 ); γ wz is the weight of free water (kN/m 3 ); and e is the void ratio of soil. According to the method used by Gao et al [40], during the soil compression process, the basic physical parameters such as the dynamic viscosity coefficient of water, and the weight of free water are constant; only the permeability coefficient and void ratio are changing.…”

“…Substituting Equation (12) into Equation 11, the permeability coefficient of soil was obtained as Equation (13). 14 Geofluids…”

“…Xia et al [11] assumed that the change in compressibility and permeability of the soil during the consolidation process was proportional, and the analytical solution of one-dimensional nonlinear consolidation for layered saturated soft soil was derived based on e-log σ ′ and e-log k v relations. An analytical solution for onedimension consolidation of a clay layer with variable compressibility and permeability under a ramp loading was derived based on the assumption that the initial effective stress of the clay layer remains constant with depth [12]. To consider the limitation of Terzaghi's theory, Lekha et al [13] presented a generalized theory for the vertical consolidation of a compressible medium with finite thickness, and an analytical closed-form solution was obtained for vertical consolidation considering the variation in the compressibility and permeability.…”

A probabilistic assessment for porous consolidation of clays

“…Terzaghi [56] was the first to investigate the consolidation problem in 1D field with elastic parameters. Subsequently, a number of papers have been published dealing with the 1D linear consolidation [2,19,28,48] and nonlinear consolidation taking into account the alteration of permeability over time [17,33,60]. In order to have a more realistic approach to the porous consolidation of heterogeneous clays, 2D consolidation problems were studied by Huang et al [22] .…”

Uncertainty quantification in Geotechnical Engineering

“…Terzaghi was the first to investigate the consolidation problem in 1D field with elastic parameters (Terzaghi, 1966b). The 1D linear consolidation was later on detailed analyzed in the literature with linear (Schiffman, 1958;Favaretti and Soranzo, 1995;Kim et al, 2019;Ai et al, 2018) and non linear consolidation with the consideration of the permeability alteration of time (Davis and Raymond, 1965;Zheng, Li, and Zhao, 2013;Li et al, 2018). For a better approach to the porous consolidation of heterogeneous clays, 2D consolidation problems were studied by Huang, Griffiths, and Fenton, 2010a.…”