Abstract

Abstract

Highlights

  • Liquid saturation is of tremendous importance to the stability of soil structures

  • Drift-diffusive liquid migration shear rate is largest (Mani et al 2012). Whether this liquid concentration peak is stationary over time or behaves differently is still an open question. We address this in the paper by investigating the dynamics of the liquid concentration peak trajectory, using a continuum model for liquid transport

  • We explore the contribution of drift and diffusion processes, individually, to the velocity of propagation of the liquid concentration peak vc and to the accumulated liquid concentration φ at a given height of the shear cell z = 3.6 (W = 3)

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Summary

Introduction

Liquid saturation is of tremendous importance to the stability of soil structures. Granular materials generally gain strength with increasing liquid content (Herminghaus 2005; Radjai & Richefeu 2009; Roy et al 2016; Liefferink et al 2020) until the liquid saturation reaches a small percentage of the available pore volume. Liquid transport or migration induced by shear can lead to a local increase in liquid concentration in the soil pores. Reconfiguration of liquid bridges in the shear band, induced by shear (Long et al 2019), leads to a local liquid bridge redistribution and liquid transport where liquid is driven out of the shear band (Mani et al 2012) Both self-diffusion of particles and liquid bridge rupture processes are functions of the shear rate. Drift-diffusive liquid migration shear rate is largest (Mani et al 2012) Whether this liquid concentration peak is stationary over time or behaves differently is still an open question.

System set-up
Continuum model
Non-dimensionalisation
Numerical scheme
Characteristics of liquid migration
Liquid concentration peak
Accumulated liquid concentration
Simplified model neglecting vertical diffusion
Comparison of the full and simplified models
Transformation of the equation: drift and diffusion
Diffusion
Significance of drift and diffusion
Accumulated liquid concentrations
Drift vs diffusion: drying and wetting
Discrete to continuum
Comparison of liquid concentration profile
Discussion and conclusion
Liquid bridge formation
Findings
Liquid bridge rupture
Full Text
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