Modelling of chloride transport in non-saturated concrete

Fenaux, Michiel; Gálvez, Jaime C.; Reyes, Enrique A.; Moragues, Amparo; Bernal, Juan Diego

doi:10.1201/b16645-88

Cited by 4 publications

(17 citation statements)

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“…In saturated conditions, the tortuosity-connectivity functions reach their maxima. It can be observed that the tortuosity-connectivity undergoes hysteresis, which is due to the fact that the pore water can get trapped in ink-bottle shaped pores when the concrete is subjected to drying conditions (5). It is worth noting that this phenomenon has been found significantly greater for mat1 and mat2, probably due to a significantly higher amount of bottleneck pores, being the two mixtures with the higher total porosity as can be seen in (28).…”

Section: Calculation Of the Tortuosity-connectivity Parametermentioning

confidence: 92%

“…The assumption of a constant temperature within the elementary volume, which will be adopted in the rest of this paper, can be justified by the high thermal conductivity of concrete when compared with the slow penetration of the ionic species and the pore water (5). Moreover, it was found in (5) that temperature plays an important role in the transport of ionic species in concrete, while temperature gradients do not.…”

Section: The Divergence Of the Mass Fluxesmentioning

confidence: 99%

“…As shown in (5), the terms in equation 62 related to migration and chemical activity can generally be ignored. For the sake of simplicity, the same assumptions are made in this paper, yielding:…”

Section: Closure Equationsmentioning

confidence: 99%

“…The coupled differential equations were solved by means of the finite element method. A detailed description of the formulation can be found in (5). The model was then calibrated for the materials as described in (5).…”

Section: Numerical Modellingmentioning

confidence: 99%

“…Bertolini (4) pointed out that, among the different penetration mechanisms, four should be considered, namely diffusion, migration, absorption/capillary suction and permeation. An enormous variety of mathematical models has been proposed over the years with the main goal to explain and predict the penetration of ionic species into concrete (5,6,7,8,9,10). The most simple models are generally based on the diffusion equation with an apparent diffusion coefficient which depends on the material as well as on the concentration of the ionic species (11,12,13,14).…”

Section: Introductionmentioning

confidence: 99%

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On the Tortuosity-Connectivity of Porous Materials

Fenaux¹,

Reyes²,

Jc³

et al. 2021

Preprint

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In this work, the transport equations of ionic species in concrete are studied. First, the equations at the porescale are considered, which are then averaged over a representative elementary volume. The so obtained transport equations at the macroscopic scale are thoroughly examined and each term is interpreted. Furthermore, it is shown that the tortuosity-connectivity does not slow the average speed of the ionic species down. The transport equations in the representative elementary volume are then compared with the equations obtained in an equivalent pore. Lastly, comparing Darcy’s law and the Hagen-Poiseuille equation in a cylindrical equivalent pore, the tortuosity-connectivity parameter is obtained for four dierent concretes. The proposed model provides very good results when compared with the experimentally obtained chloride profiles for two additional concretes.

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Section: Calculation Of the Tortuosity-connectivity Parametermentioning

confidence: 92%

Section: The Divergence Of the Mass Fluxesmentioning

confidence: 99%

Section: Closure Equationsmentioning

confidence: 99%

Section: Numerical Modellingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On the Tortuosity-Connectivity of Porous Materials

Fenaux¹,

Reyes²,

Jc³

et al. 2021

Preprint

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A Micromechanics Model for Solute Diffusion Coefficient in Unsaturated Granular Materials

2015

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International audienceA new micromechanics analysis of solute diffusion in unsaturated granular materials is put forward. This permits predicting the percolation effect. To do so, the pore water is divided up into four phases that account for the different spatial distributions and diffusion properties: interconnected capillary water, isolated capillary water, wetting layer and water film. A parameter denoted as connectivity ratio is introduced to account for the connectivity of the capillary pore water. Our model agrees well with experimental results on unsaturated sands and glass beads from literature. It also permits interpreting the physical meaning of the saturation exponent of Archie’s law: The latter is found to be correlated with the connectivity ratio of the unsaturated granular materials

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