Causal analysis and modeling of unfrozen water in frozen soil based on
the coupling of adsorption and capillary action
Abstract
Unfrozen water affects the thermal-hydro-mechanical characteristics,
microbial activity and freeze-thaw processes in frozen soils. This study
found that part of the unfrozen water is formed by the coupling of
adsorption and capillary action in soils with mid to low clay content,
which is called bound-capillary water and located in nanopores between
clay and sand (silt) particles. The nature of the bound-capillary water
affects soil freezing characteristics, which varies with the initial
water content. The influence of coupling effects arises from the
adsorption effects on the clay surface and the capillary action between
the clay-sand particles. The adsorption effects (or surface effects)
establish an electrical double-layer structure for bound-capillary
water. The capillary action (surface tension) forms bound-capillary
water in a shape of meniscuses, which significantly increases its
content. Here, we established four theoretical models and a parametric
model of unfrozen water based on the coupling effects. The basic
mathematical expressions of four theoretical models are almost identical
to those of 10 existing unfrozen water semi-empirical models,
demonstrating that the semi-empirical models are representative of
empirical formulas describing the freezing characteristics of the
bound-capillary water. A comparison of model results with the measured
unfrozen water content of 9 soils verifies that the parametric model is
suitable for soils with low to medium clay content.