Abstract

In this paper, based on non-Darcian flow, the governing equation of 1D nonlinear large strain consolidation is established, which comprehensively accounts for vertical strain, soil self-weight, geometrical nonlinearity, continuity of pore water flow, the relative velocity of the fluid and solid phases, and changing compressibility and hydraulic conductivity during consolidation. Then the numerical solution is obtained with the finite difference method (FDM). Verification of the FDM solution shows excellent accuracy. On this basis, we investigate the influence of the non-Darcian flow on consolidation behavior. The results show that the increase of the non-Darcian exponent will accelerate the consolidation rate in the beginning, while slowing down the consolidation rate in the end. However, it has no effect on the final settlement of the soil layer. In addition, boundary drainage conditions have a huge impact on the consolidation rate, whether it is Darcian or non-Darcian flow.

Highlights

  • The deformation of the soil layer has always been one of the most important fields in geotechnical engineering and civil engineering, which is closely related to the theory of large strain consolidation

  • It is important to establish the theory of 1D large strain consolidation that can reflect the settlement of the soil layer more precisely

  • As fine-grained soils are widespread in the civil engineering, it is of theoretical and practical significance to study one-dimensional large strain consolidation based on non-Darcian flow

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Summary

Introduction

The deformation of the soil layer has always been one of the most important fields in geotechnical engineering and civil engineering, which is closely related to the theory of large strain consolidation. In the field of large strain consolidation, plenty of great progress has been made in terms of analytical theory, numerical simulations, experimental verifications, and other aspects [1,2,3,4,5,6,7,8]. Most of these methods, were based on the assumption that the water flow in the soils obeyed Darcy’s law. The effects of the exponential flow on consolidation behavior are further analyzed

Mathematical Model
H Saturated and homogeneous clay
Derivation of Numerical Solution
Verification of Numerical Solutions
Influence of Boundary Conditions
Influence of Non-Darcian Flow on the Consolidation Behavior
Influence of Soil Self-Weight on the NonDarcian Consolidation
Conclusions
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