Computers and Concrete

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Prediction of chloride ingress into saturated concrete on the basis of a multi-species model by numerical calculations

  • Nguyen, T.Q. (Laboratoire Central des Ponts et Chaussees) ;
  • Baroghel-Bouny, V. (Laboratoire Central des Ponts et Chaussees) ;
  • Dangla, P. (Laboratoire des Matriaux et Structures du Geie Civil, Champs sur Marne)
  • Received : 2006.08.28
  • Accepted : 2006.11.21
  • Published : 2006.12.25
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Abstract

A multi-species model based on the Nernst-Planck equation has been developed by using a finite volume method. The model makes it possible to simulate transport due to an electrical field or by diffusion and to predict chloride penetration through water saturated concrete. The model is used in this paper to assess and analyse chloride diffusion coefficients and chloride binding isotherms. The experimental assessment of the effective chloride diffusion coefficient consists in measuring the chloride penetration depth by using a colorimetric method. The effective diffusion coefficient determined numerically allows to correctly reproduce the chloride penetration depth measured experimentally. Then, a new approach for the determination of chloride binding, based on non-steady state diffusion tests, is proposed. The binding isotherm is identified by a numerical inverse method from a single experimental total chloride concentration profile obtained at a given exposure time and from Freundlich's formula. In order to determine the initial pore solution composition (required as initial conditions for the model), the method of Taylor that describes the release of alkalis from cement and alkali sorption by the hydration products is used here. Finally, with these input data, prediction of total and water-soluble chloride concentration profiles has been performed. The method is validated by comparing the results of numerical simulations to experimental results obtained on various types of concretes and under different exposure conditions.

Keywords

References

  1. Andrade, C., Castellote, M., Alonso, C., and Gonzalez, C. (2000), 'Non-steady-state chloride diffusion coefficients obtained from migration and natural diffusion test-Part I: Comparison between several methods of calculation', Mater. Struct., 33, 21-28 https://doi.org/10.1007/BF02481692
  2. Atkinson, A. and Nickerson, A.K. (1984), 'The diffusion of ions through water-saturated cement', J. Mater. Sci., 19, 3068-3078 https://doi.org/10.1007/BF01026986
  3. Baroghel-Bouny, V. (1994), 'Caracterisation des pates de ciment et des betons-Methodes, analyse, interpretation', Laboratoire Central des Ponts et Chaussees
  4. Baroghel-Bouny, V., and al. (2004a), 'Which toolkit for durability evaluation as regards chloride ingress into concrete? Part I: Comparison between various methods for assessing the chloride diffusion coefficient of concrete in saturated conditions', Proc. of the 3rd Int. RILEM Workshop 'Testing and modelling chloride ingress into concrete', Sept., Madrid, Spain (Ed. By C. Andrade & J. Kropp, RILEM Publ., Bagneux, 2004), PRO 38, 105-136
  5. Baroghel-Bouny, V. (2004b), 'Which toolkit for durability evaluation as regards chloride ingress into concrete? : Part II. Development of a performance approach based on durability indicators and monitoring parameters', Proc. of the 3rd Int. RlLEM Workshop 'Testing and modelling chloride ingress into concrete', Sept., 2002, Madrid, Spain (Ed. By C. Andrade & J. Kropp, RILEM Publ., 2004), 137-163
  6. Baroghel-Bouny, and al. (2004c), 'Ageing of concretes in natural environments: an experiment for 21st century. IV-Results on cores extracted from field-exposed test specimens of various sites at first times of measurement', Bul. Lab. Ponts & Chaus. 249, 49-100
  7. Beaudoin, J.J., Ramachandran, V.S., and Feldman, R.F. (1990), 'Interaction of chloride and C-S-H', Cement Concrete Res., 20, 875-883 https://doi.org/10.1016/0008-8846(90)90049-4
  8. Bigas, J.P. (1996), 'La diffusion des ions chlore dans les mortiers', Ph.D thesis, Genie civil, Toulouse (in French)
  9. Bimin- Yauri, U.A. and Glasser, F.P. (1998), 'Friedel's salt: Its solid solution and their role in chloride binding', Cement Concrete Res., 28, 1713-1723 https://doi.org/10.1016/S0008-8846(98)00162-8
  10. Brouwers, H.J.H. and van Eijk, R.J. (2003), 'Alkali concentration of pore solution in hydrating OPC', Cement Concrete Res., 33, 191-196 https://doi.org/10.1016/S0008-8846(02)01022-0
  11. Castellote, M., Andrade, C., and Alonso, C. (1999), 'Chloride binding isotherms in concrete submitted to nonsteady-state migration experiments', Cement Concrete Res., 29, 1799-1806 https://doi.org/10.1016/S0008-8846(99)00173-8
  12. Chaussadent, T., Baroghel-Bouny, V., Care, S., Perrin, B., Bonnet, S., Francois, R., Francy, O. (2000), Transferts dans les betons et durabilite des ouvrages. Analyse des interactions physico-chimiques entre les chlorures et Ie beton, Theme de Recherche OA9-Sujet $n^{\circ}$ 3-Programme 3.1, Rapport de synthese LCPC/LETHEM/LMDC, 41 p
  13. Eymard, R., Gallouet, T., Herbin, R., in: P. Ciarlet, J.L. Lions (Eds.) (2004), Handbook of Numerical Analysis: The Finite Volume Method, in press
  14. Francy, O. (1998), 'Modelisation de la penetration des ions chlorures dans les mortiers partiellement sature en eau', PhD thesis, Genie civil, Paul Sabatier, Toulouse (in French)
  15. Frederiksen, J.M. (1996), 'Chloride penetration into concrete state-of-the-art', Report No. 53, The Danish Road Directorate, 118-123
  16. Goto, S. and Roy, D.M. (1981), 'Diffusion of ions through hardened cement pastes', Cement Concrete Res., 11, 751-757 https://doi.org/10.1016/0008-8846(81)90033-8
  17. Hausmann, D.A. (1967), 'Steel corrosion in concrete: How does it's occur', Materials Protection, 4, 19-25
  18. Helfferich, F. (1962), Ion Exchange, McGraw-Hill, New York
  19. Hong, S.Y. and Glasser, F.P. (1999), 'Alkali binding in cement paste: Part I. The C-S-H phase', Cement Concrete Res., 29, 1893-1903 https://doi.org/10.1016/S0008-8846(99)00187-8
  20. Larbi, J.A, Fraay, A.L.A, and Bijen, J.M. (1990), 'The chemistry of the pore fluid of silica fume-blended cement systems' Cement Concrete Res., 20, 506-516 https://doi.org/10.1016/0008-8846(90)90095-F
  21. Larsen, C.K. (1998), 'Chloride binding in concrete, effect of surrounding environment and concrete composition', PhD thesis, Norwegian University
  22. Li, L.Y. and Page, C.L. (1998), 'Modelling of electrochemical chloride extraction from concrete: Influence of ionic activity coefficient', Comput Mat. Sci. 9, 303-308 https://doi.org/10.1016/S0927-0256(97)00152-3
  23. Masi, M., Colella, D., Radaelli, C., and Bertolini, C. (1997), 'Simulation of chloride penetration in cement-based materials', Cement Concrete Res. 27, 1591-1601 https://doi.org/10.1016/S0008-8846(97)00200-7
  24. Marchand, J., Samson, E., Maltais, Y., Lee, R.J., and Sahu, S. (2002), 'Predicting the performance of concrete structures exposed to chemically aggressive environment-Field validation', Mater. Struct., 35, 623-631
  25. McGrath, P.F. and Hooton, R.D. (1996), 'Influence of voltage on chloride diffusion coefficient form the migration tests', Cement Concrete Res., 23, 1329-1244
  26. Mounanga, P., Khelidj, A., Loukili, A., and Baroghel-Bouny, V. (2004), 'Prediction $Ca(OH)_2$ content and chemical shrinkage of hydrating cement pastes using analytical approach', Cement Concrete Res. 34,255-265 https://doi.org/10.1016/j.cemconres.2003.07.006
  27. Nagataki, S., Otsuki, N., Wee, T.H., and Nakashita, K. (1993), 'Condensation of chloride ion in hardened cement matrix materials and on embedded steel bars', ACI Mater. J., 90(3), 323-332
  28. Nelder, J.A. and Mead, R. (1965), Com put J., 7, 308-313 https://doi.org/10.1093/comjnl/7.4.308
  29. Nilsson, L.O. (2005), 'WP4 report-modelling of chloride ingress', Report, 112p
  30. Nguyen, T.Q., Baroghel-Bouny, V., Dangla, P., and Belin, P. (2006), 'Multi-level modelling of chloride ingress into saturated concrete', Proc. of Int. RILEM Workshop 'Performance based evaluation and indicator for concrete durability', Madrid, Spain, Mar
  31. Papadakis, V.G. (2000), 'Effect of supplementary cementing materials on concrete resistance against carbonation and chloride ingress', Cement Concrete Res. 30, 291-299 https://doi.org/10.1016/S0008-8846(99)00249-5
  32. Pollitt, H.W.W. and Brown, A.W. (1969), 5th ISCC, vol. 1, p. 322
  33. Samson, E. and Marchand, J. (1999a), 'Numerical solution of the extended Nemst-Planck model', J. Colloid Interf. Sci. 215, 1-8 https://doi.org/10.1006/jcis.1999.6145
  34. Samson, E., Lemaire, G., Marchand, J., and Beaudoin, J.J. (1999b), 'Modelling chemical activity effects in strong ionic solution', Comput. Mater. Sci. 15, 285-294 https://doi.org/10.1016/S0927-0256(99)00017-8
  35. Samson, E. and Marchand, J. (2003), 'Calculation of ionic diffusion coefficients on the basis of migration test results', Mater. Struct., 36, 156-165 https://doi.org/10.1007/BF02479554
  36. Suryavanshi, A.K., Scantlebury, J.D., and Lyon, S.B. (1996), 'Mechanism of Frieldel's salt formation in cements rich in tri-calcium aluminate', Cement Concrete Res. 26, 717-727 https://doi.org/10.1016/S0008-8846(96)85009-5
  37. Tang, L. (1996a), 'Chloride transport in concrete-measurement and prediction', PhD thesis, Building Materials, Chalmers, Gothenburg
  38. Tang, L. (1996b), 'Electrically accelerated methods for determining chloride diffusivity in concrete-Current development', Mag. Concrete Res., 48, 173-179 https://doi.org/10.1680/macr.1996.48.176.173
  39. Tang, L. and Nilsson, L.O. (1993), 'Chloride binding capacity and binding isotherms of OPC pastes and mortar', Cement Concrete Res. 23, 247-253 https://doi.org/10.1016/0008-8846(93)90089-R
  40. Tang, L. and Nilsson, L.O. (1992), 'Rapid determination of the chloride diffusivity in concrete by applying an electrical field', ACI Mater. J. Technical paper, 49-53
  41. Taylor, H.F.W. (1987), 'A method for predicting alkali ion concentration in cement pore solution', Adv. Cement Res., 1, 5-16 https://doi.org/10.1680/adcr.1987.1.1.5
  42. Truc, O., Ollivier, J.P., and Nilsson, L.O. (2000a), 'Multi-species transport in saturated cement-based materials', Proc. of the 2nd RILEM Workshop 'Testing and modelling chloride ingress concrete', Sep., Paris, France 1995 (Ed. By C. Andrade & J. Kropp, RlLEM Publ., 2000), 247-259
  43. True, O. and Ollivier, J.P. (2000b), Carcasses, M., 'A new way for determining the chloride diffusion coefficient in concrete from steady-state migration tests', Cement Concrete Res., 30, 217-226 https://doi.org/10.1016/S0008-8846(99)00232-X

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