TECHNICAL PAPERS
Mar 1, 2000

Propagation Fronts during Calcium Leaching and Chloride Penetration

Publication: Journal of Engineering Mechanics
Volume 126, Issue 3

Abstract

Calcium leaching and chloride penetration are modeled with regard to concrete chemical degradation and corrosion risk of steel reinforcement in RC structures. The presence of propagation fronts that move at finite velocity and that define the depth of material affected by dissolution or chloride penetration is particularly emphasized. This paper starts with a simple model of the coupled diffusion-dissolution process. This model makes it possible to construct an analytical solution. This solution is used to show that the finite volume method is well suited for modeling sharp dissolution fronts. Then, by considering a realistic chemical equilibrium relation, the variations of porosity, and the effective diffusion coefficient, the model is applied to calcium leaching of cement-based materials. The simulation of the propagation of portlandite dissolution fronts is in close agreement with experimental results of degradation of a cylinder sample with a notch. Finally, chloride penetration is modeled with a diffusion-sorption equation. It is shown that the use of Freundlich's isotherm of sorption leads to a finite penetration depth of chloride ions. These fronts have been observed in experiments of chloride penetration in concrete materials.

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References

1.
Adenot, F. ( 1992). “Durabilité du béton: Caractérisation et modélisation des processus physiques et chimiques de dégradation du ciment,” PhD thesis, Université d'Orléans, Orléans, France (in French).
2.
Barenblatt, G. I. (1987). Dimensional analysis. Gordon and Breach, New York.
3.
Berner, U. R. (1988). “Modelling the incongruent dissolution of hydrated cement minerals.” Radiochimica Acta, 44/45, 387–393.
4.
Buil, M., Revertegat, E., and Oliver, J. (1990). “Modelling cement attack by pure water.” Proc., Int. Symp. on Stabilisation/Solidification of Haz., Radioactive and Mixed Wastes.
5.
Buil, M., Revertegat, E., and Oliver, J. (1992). “A model of the attack of pure water or undersaturated lime solutions on cement.” Proc., Stabilisation and Solidification of Haz. and Mixed Wastes, T. M. Gilliam and C. C. Wiles, eds., Williamsburg, Vol. 2, 227–24.
6.
Carde, C. ( 1996). “Caractérisation et modélisation de l'altération des propriétés mécaniques due à la lixiviation des matériaux cimentaires.” PhD thesis, Institut National des Sciences Appliquèes (INSA), Toulouse, France (in French).
7.
Carde, C., and François, R. (1997). “Effect of the leaching of calcium hydroxide from cement paste on mechanical and physical properties.” Cement and Concrete Res., 27(4), 539–550.
8.
Carde, C., François, R., and Torrenti, J.-M. (1996). “Leaching of both calcium hydroxide and C-S-H from cement paste: Modeling the mechanical behavior.” Cement and Concrete Res., 26(8), 1257–1268.
9.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids. Oxford at the Clarendon Press.
10.
Delagrave, A., Gérard, B., and Marchand, J. (1997). “Modelling the calcium leaching mechanisms in hydrated cement pastes.” Proc., Mechanisms of Chemical Degradation of Cement-Based Sys., MRS Fall Meeting, K. L. Scrivener and S. F. Young, eds., E & FN Spon, London, 38–49.
11.
Eymard, R., Gallouët, T., and Herbin, R. (2000). Finite volume methods. Handbook of Numerical Analysis, P. G. Ciarlet, and J. L. Lions, eds., North-Holland, Amsterdam.
12.
Eymard, R., Gallouët, T., Herbin, R., Hilhorst, D., and Mainguy, M. (1998a). “Instantaneous and non-instantaneous dissolution: Approximation by the finite volume method.” Proc., 30ème Congrès d'Analyse Numérique, ESAIM.
13.
Eymard, R., Gallouët, T., Hilhorst, D., and Slimane, Y. N. (1998b). “Finite volumes and nonlinear diffusion equations.” Math. Mod. and Num. Anal., 32(6), 747–769.
14.
Francy, O. ( 1998). “Modélisation de la pénétration des ions chlorues dans les mortiers partiellement saturés en eau,” PhD thesis, INSA Toulouse, Toulouse, France (in French).
15.
Gérard, B. ( 1996). “Contributions des couplages mécaniques-chimie-transfert dans la tenue à long terme des ouvrages de stockage de déchets radioactifs,” PhD thesis, Ecole Normale Supèrieure (ENS), Cachan, France (in French).
16.
Greenberg, S. A., and Chang, T. N. (1965). “Investigation of the hydrated calcium silicates II. Solubility relationships in the calcium oxide-silica-water system at 25°C.” J. Physical Chemistry, 69, 182–188.
17.
Hausmann, D. A. (1967). “Steel corrosion in concrete: How does it occur?” Mat. Protection, 4(11), 19–22.
18.
Mainguy, M. ( 1999). “Modèles de diffusion non linéaires en milieux poreux. Applications à la dissolution et au séchage des matériaux cimentaires,” PhD thesis, Ecole Nationale des Pont et Chaussées (ENPC), Champs-sur-Marne, France (in French).
19.
Marchand, J., Gérard, B., and Delagrave, A. ( 1998). “Ion transport mechanisms in cement-based materials.” Materials science of concrete, J. Skalny, and S. Mindess, eds., Vol. 5, American Ceramic Society, Westerville, Ohio, 307–400.
20.
Moszkowicz, P., Pousin, J., and Sanchez, F. (1996). “Diffusion and dissolution in reactive porous medium: Mathematical modelling and numerical simulations.” J. Computational and Appl. Mathematics, 66, 377–389.
21.
Page, C. L., and Treadaway, K. W. J. (1982). “Aspect of the electrochemistry of steel in concrete.” Nature, 297(5), 109–115.
22.
Shackelford, C. D., and Daniel, D. E. (1991). “Diffusion in saturated soil. I. Background.”J. Geotech. Engrg., ASCE, 117(3), 467–484.
23.
Taylor, H. F. W. (1950). “Hydrated calcium silicates, part I, Compound formation at ordinary temperatures.” J. Chem. Soc., 276, 3682–3690.
24.
Tognazzi, C. ( 1998). “Couplage fissuration-dégradation chimique dans les matériaux cimentaires: Caractérisation et modélisation,” PhD thesis, Institut Nationale des Sciences Appliquèes (INSA), Toulouse, France (in French).
25.
Torrenti, J.-M., Didry, O., Ollivier, J.-P., and Plas, F. ( 1999). La dégradation des bétons, couplages fissuration-dégradation chimique. Hermès Science, Paris (in French).
26.
Torrenti, J.-M., Mainguy, M., Adenot, F., and Tognazzi, C. (1998). “Modelling of leaching in concrete.” Proc., Euro-C '98, Computational Modelling of Concrete Struct., R. de Borst, N. Bicanic, H. Mang, and G. Meschke, eds., Balkema, Rotterdam, The Netherlands, 531–538.
27.
Travis, C. C., and Etnier, E. L. (1981). “A survey of sorption relationships for reactive solutes in soil.” J. Envir. Quality, 10(10), 8–17.
28.
Turcotte, D. L., and Shubert, G. (1982). Applications of continuum physics to geological problems. Wiley, New York.
29.
Ulm, F.-J., Torrenti, J.-M., and Adenot, F. (1999). “Chemoporoplasticity of calcium leaching in concrete.”J. Engrg. Mech., ASCE, 125(10), 1200–1211.
30.
Van Duijn, C. J., Grundy, R. E., and Dawson, C. N. (1997). “Large time profiles in reactive solute transport.” Transport in Porous Media, 27, 57–84.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 126Issue 3March 2000
Pages: 250 - 257

History

Received: May 21, 1999
Published online: Mar 1, 2000
Published in print: Mar 2000

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Authors

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Massachusetts Inst. of Technol., Cambridge, MA 02139; formerly, Res. Engr., Laboratoire Central des Ponts et Chaussées, 58 bd Lefebvre, 75732 Paris cedex 15, France. E-mail: [email protected]
Res. Dir., Laboratoire Central des Ponts et Chaussées, 58 bd Lefebvre, 75732 Paris cedex 15, France.

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