Determination of Chloride Diffusion Coeffi cient in Cement-Based Materials – A Review of Experimental and Modeling Methods: Part I – Diffusion Methods

Krzysztof Szyszkiewicz; Jerzy J. Jasielec; Agnieszka Królikowska; Robert Filipek

1.

A. Guettala, A. Abibsi, Corrosion degradation and repair of a concrete bridge, Mater. Struct., 39, 471–478 (2006).

2.

M. Andrade, M. Castellote, C. Alonso, C. Gonzáles, Non-steady-state chloride diffusion coeffi cients obtained from migration and natural diffusion tests. Part 1: Comparison between several methods of calculation, Mater. Struct., 33, 21–28 (2000).

Google Scholar

3.

J.J. Beaudoin, R.F. Feldman, P.J. Tumidajski, Pore structure of hardened portland cement pastes and its infl uence on properties, Adv. Cem. Bas. Mater., 1, 224−236 (1994).

Google Scholar

4.

C. Andrade, Calculation of Chloride Diffusion Coeffi cients in Concrete Form Ionic Migration Measurements. Cement and Concrete Research, 23, 3, 724–743 (1993).

Google Scholar

5.

L. Tang, Concentration dependence of diffusion and migration of chloride ions Part 1. Theoretical considerations, Cem. Concr. Res., 29, 1463−1468 (1999).

Google Scholar

6.

A. Atkinson, A.K. Nickerson, The diffusion of ions through water-saturated cement, J. Mater. Sci., 19, 3068−3078 (1984).

Google Scholar

7.

P. Spiesz, H.J.H. Brouwers, The apparent and effective chloride migration coeffi cients obtained in migration tests, Cem. Concr. Res., 48, 116–127 (2013).

Google Scholar

8.

J. Newman, K.E. Thomas-Alea, “Electrochemical Systems”, 3rd ed. Wiley Interscience, 2004.

Google Scholar

9.

J.A. Currie, Gaseous diffusion in porous media. Part 2 − Dry granular materials, Brit. J. Appl. Phys., 11, 318−324 (1960).

Google Scholar

10.

E.E. Petersen, Diffusion in a Pore of Varying Cross Section, AIChE Journal, 4, 343−345 (1958).

Google Scholar

11.

A.S. Michaels, Diffusion in a Pore of Irregular Cross Section − a Simplifi ed Treatment, AIChE Journal, 5, 270−271 (1959).

Google Scholar

12.

U.A. Birnin-Yauri, F.P. Glasser, Friedel’s salt, Ca2Al(OH)6(Cl,OH) x2H2O: its solutions and their role in chloride binding, Cem. Concr. Res., 28, 173−1723 (1998).

Google Scholar

13.

P. Spiesz, M.M. Ballari, H.J.H. Brouwers, RCM: A new model accounting for the non-linear binding isotherm and the non-equilibrium conditions between the free- and bound-chloride concentrations, Constr. Build. Mater., 27, 293–304 (2012).

Google Scholar

14.

C. D. Shackelford, D.E. Daniel, Diffusion in Saturated Soil. I: Background, J. Geotech. Eng. ASCE, 117, 467–484 (1991).

Google Scholar

15.

W. Kurdowski, Chemia betonu – wybrane zagadnienia, izolacje.com. pl, Izolacje 03/2010, http://www.izolacje.com.pl/art...- -betonu-wybrane-zagadnienia.

Google Scholar

16.

M.R. Jones et al., Studies using 27Al MAS NMR of AFm and AFt phases and the formation of Friedel’s salt, Cem. Concr. Res., 33, 177–82 (2003).

Google Scholar

17.

P. Sandberg, Studies of chloride binding in concrete exposed in marine environment, Cem. Concr. Res., 29, 473–477 (1999).

Google Scholar

18.

L. Tang, L.O. Nilsson, Chloride Binding Capacity and Binding Isotherms of OPC Pastes and Mortars, Cem. Concr. Res., 23, 247–253 (1993).

Google Scholar

19.

M. Castellote, M. C. Andrade, C. Alonso, Measurement of the steady and non-steady-state chloride diffusion coeffi cients in a migration test by means of monitoring the conductivity in the anolyte chamber. Comparison with natural diffusion tests, Cem. Concr. Res., 31, 1411–1420 (2001).

Google Scholar

20.

R.A. Patel, Q. Tri Phung, S.C. Seetharama, J. Perko, D. Jacques, N. Maes, G. De Schutter, G. Ye, K. Van Breugel, Diffusivity of saturated ordinary Portland cement-based materials: A critical review of experimental and analytical modelling approaches, Cem. Concr. Res., 90, 52−72 (2016).

Google Scholar

21.

E.J. Garboczi, D.P. Bentz, Computer simulation of the diffusivity of cement-based materials, J. Mater. Sci., 27, 2083−2092 (1992).

Google Scholar

22.

P. Halamickova, R.J. Detwiler, Water permeability and chloride ion diffusion in Portland cement mortars: Relationship to sand content and critical pore diameter, Cem. Concr. Res., 25, 790−802 (1995).

Google Scholar

23.

D. A. Hausmann, Steel corrosion in concrete: how does it occur? Mater. Protection, 6, 19–23 (1967).

Google Scholar

24.

V. K. Gouda, Corrosion and corrosion inhibition of reinforcing steel I. Immersed in alkaline solutions. Brit. Corros. J., 5, 198–203 (1970).

Google Scholar

25.

U. Angst, B. Elsener, C.K. Larsen, Ø. Vennesland, Critical chloride content in reinforced concrete − A review, Cem. Concr. Res., 39, 1122–1138 (2009).

Google Scholar

26.

K. Tuutti, Corrosion of steel in concrete, Report., CBI Forskning/Research, Swedish Cement and Concrete Research Institute, Stockholm, 1982.

Google Scholar

27.

J. Liu, K. Tang, D. Pan, Z. Lei, W. Wang, F. Xing , Surface Chloride Concentration of Concrete under Shallow Immersion Conditions, Materials, 7, 6620−6631 (2014).

Google Scholar

28.

P.F. McGrath, R.D. Hooton, Re-evaluation of the AASHTO T259 90-day salt ponding test, Cem. Concr. Res., 29, 1239–1248 (1999).

Google Scholar

29.

Z. Li, J. Peng, B. Ma, Investigation of chloride diffusion for high-performance concrete containing fl y ash, microsilica and chemical admixtures, ACI Mater. J., 96, 391-396 (1999).

Google Scholar

30.

E.P. Nielsen, M.R. Geiker, Chloride diffusion in partially saturated cementitious material. Cem. Concr. Res., 33, 133–138 (2003).

Google Scholar

31.

R. Loser, B. Lothenbach, A. Leemann, M. Tuchschmid, Chloride resistance of concrete and its binding capacity − comparison between experimental results and thermodynamic modeling. Cem Concr Composites, 32, 34-42 (2010).

Google Scholar

32.

D. Whiting, Rapid determination of the chloride permeability of concrete, Federal Highway Administration. Report no.FHWA/RD-81/119, (1981) https://archive.org/details/ra....

Google Scholar

33.

C. Andrade, M.A. Sanjuan, A. Recuero, O. Rio, Calculation of chloride diffusivity in concrete from migration experiments, in non-steady-state conditions, Cem. Concr. Res., 24, 7, 1214–1228 (1994).

Google Scholar

34.

C.L. Page, N.R. Short, A. EI Tarras, Diffusion of chloride ions in hardened cement pastes, Cem. Concr. Res., 11, 395-406 (1981).

Google Scholar

35.

R.K. Dhir, E.A. Byars, PFA concrete: chloride diffusion rates, Mag. Concr. Res., 45, 165, 1-9 (1993).

Google Scholar

36.

K.A. MacDonald, D.O. Northwood, Experimental measurements of chloride ion diffusion rates using a two-compartment diffusion cell: Effects of material and test variables, Cem. Concr. Res., 25, 1407-1416 (1995).

Google Scholar

37.

M. Castellote, C. Andrade, Round-Robin test on methods for determining chloride transport parameters in concrete, Materials and Structures, 99, 955−990 (2006).

Google Scholar

38.

M. Roy Della, W. Jiang, M. R. Silsbee, Chloride diffusion in ordinary, blended, and alkali-activated cement pastes and its relation to other properties. Cem. Concr. Res., 30, 1879–1884 (2000).

Google Scholar

39.

L. Tang, L.O. Nilsson, Rapid determination of the chloride diffusivity in concrete by applying an electrical fi eld, ACI Materials Journal, 89, 1, 49–53 (1992).

Google Scholar

40.

J. Crank, Mathematics of Diffusion, Oxford University Press, 1970.

Google Scholar

41.

M.E. Glicksman, Diffusion in Solids: Field Theory, Solid-State Principles and Applications, John Wiley and Sons, 2000.

Google Scholar

42.

J.S. Kirkaldy, D.J. Young; Diffusion in the Condensed State, The Institute of Metals, London, 1985.

Google Scholar

43.

M. Castellote, C. Andrade, C. Alonso, Chloride-binding isotherms in concrete submitted to non-steady-state migration experiments, Cem. Concr. Res., 29, 1799–1806 (1999).

Google Scholar

44.

A. Xu, S. Chandra, Assessment of chloride diffusion coeffi cient test methods, Corrossion of Cement Paste. Proceedings of the International Colloquium held at Mogilany. Ed. W. Kurdowski, 75-83, Kraków 1997.

Google Scholar

45.

Z. Ściślewski, Protection of reinforced concrete structures. in Polish., Arkady, Warszawa, 1999.

Google Scholar

46.

CHLORTEST. Resistance of concrete to chloride ingress – from laboratory tests to infi eld performance. EU-Project (5th FP GROWTH) G6RD-CT-2002-00855, WP2, report: pre-evaluation of different test methods, 2005.

Google Scholar

47.

J. Lizarazo-Marriaga, P. Claisse, Effect of the non-linear membrane potential on the migration of ionic species in concrete, Electrochimica Acta, 54, 2761−2769 (2009).

Google Scholar

48.

M. Torres-Luque, E. Bastidas-Arteaga, F. Schoefs, M. Sánchez-Silva, J.F. Osma, Non-destructive methods for measuring chloride ingress into concrete: State-of-the-art and future challenges (review), Constr. Build. Mater., 68, 68–81 (2014).

Google Scholar

49.

K.D. Stanish, R.D. Hooton, M.D.A. Thomas, Testing the chloride penetration resistance of concrete: a literature review. FHWA contract DTFH61-97-R-00022. Prediction of chloride penetration in concrete, 1997.

Google Scholar

50.

M. Shi, Z, Chen, J. Sun, Determination of chloride diffusivity in concrete by AC impedance spectroscopy, Cem. Concr. Res., 29, 1111−1115 (1999).

Google Scholar

51.

W. Kurdowski , Chemia cementu i betonu. Stowarzyszenie Producentów Cementu, Kraków 2010, Wydawnictwo Naukowe PWN, Warszawa 2010.

Google Scholar

52.

C.L. Page, N.R. Short, A. El Tarras, Diffusion of chloride ions in hardened cement paste, Cem. Concr. Res., 23, 395−406 (1993).

Google Scholar

53.

H. Friedmann, O. Amiri, A. Aït-Mokhtar, P. Dumargue, A direct method for determining chloride diffusion coeffi cient by using migration test, Cem. Concr.Res., 34, 1967–1973 (2004).

Google Scholar

54.

K. Krabbenhøft, J. Krabbenhøft, Application of the Poisson–Nernst– Planck equations to the migration test, Cem.Concr.Res., 38, 77–88 (2008).

Google Scholar

55.

AASHTO, Standard Method of Test for Resistance of Concrete to Chloride ion Penetration, AASHTO T, 259-80 (1997).

Google Scholar

56.

NT BUILD-443, Concrete Hardened: Accelerated Chloride Penetration, Nordtest Method, Approved 1995-11.

Google Scholar

57.

C.C. Yang, A comparison of transport properties for concrete using the ponding test and the accelerated chloride migration test, Mater. Struct., 38, 313-320 (2005).

Google Scholar

58.

L. Tang, Electrically accelerated methods for determining chloride diffusivity in concrete – current development, Mag. Concr. Res., 48, 173- 179 (1995).

Google Scholar

59.

M.A. Climent, J.F. de Vera G, López, C. García, C. Andrade C. Transport of chlorides through non-saturated concrete after an initial limited chloride supply. In: Andrade C, Kropp J, editors. Proc of the 2nd int workshop on testing and modelling the chloride ingress into concrete. Cachan (France): RILEM Publications, 173–87 (2000).

Google Scholar

60.

M.A. Climent, G. de Vera, J.F. López, E. Viqueira, C. Andrade, A test method for measuring chloride diffusion coeffi cients through non-saturated concrete. Part I: the instantaneous plane source diffusion case. Cem. Concr. Res., 32, 7, 1113–23 (2002).

Google Scholar

61.

G. de Vera, M.A. Climent, J.F. López, E. Viqueira, C. Andrade, Transport and binding of chlorides through non-saturated concrete after an initial limited chloride supply. In: C. Andrade, J. Kropp, editors. Proc of the 3rd int workshop on testing and modeling the chloride ingress into concrete. Cachan (France): RILEM Publications, 205–18 (2004).

Google Scholar

62.

G. de Vera, M.A. Climent, E. Viqueira, C. Antón, C. Andrade, A test method for measuring chloride diffusion coeffi cients through partially saturated concrete. Part II: the instantaneous plane source diffusion case with chloride binding consideration, Cem. Concr. Res., 37, 5, 714–24 (2007).

Google Scholar

63.

A.T.C. Guimarães, P.R.L. Helene, The moisture effect on the diffusion of chloride ions in hydrated cement paste, Marine Corrosion in Tropical Environments, ASTM STP 139, S.W. Dean, G. Hernandez-Duque Delgadillo, and J.B. Bushman, Eds., Philadelphia, USA, 135–49 (2000).

Google Scholar

64.

A.T.C. Guimarães, P.R.L. Helene, Chloride diffusion and the infl uence of the saturation degree of the concrete. In: C. Andrade, J. Kropp, editors. Proc of the 3rd int workshop on testing and modeling the chloride ingress into concrete. Cachan (France): RILEM Publications, 237–56 (2004).

Google Scholar

65.

A.T.C. Guimarães, P.R.L. Helene, Diffusion of chloride ions in unsaturated concrete: Forecast of service life in a wet–dry environment. American Concrete Institute, SP 229-12, Farmington Hills, MI, USA, 175–93 (2005).

Google Scholar

66.

A.T.C. Guimarães, P.R.L. Helene, Models of variation of chloride ion diffusion as a function of changes in the saturation degree of concrete mixes prepared with pozzolanic cement. In: Ferreira RM, Gulikers J, Andrade C, editors. Proc of the int workshop on integral service life modelling of concrete structures. Cachan (France): RILEM Publications,63–70 (2007).

Google Scholar

67.

A.T.C. Guimarães, M.A. Climent, G. de Vera, F.J. Vicente, F.T. Rodrigues, C. Andrade, Determination of chloride diffusivity through partially saturated Portland cement concrete by a simplifi ed procedure, Constr. Build.Mater., 25, 785–790 (2011).

Google Scholar

68.

A.T.C. Guimarães, M.A. Climent, G. de Vera, F.J. Vicente, F.T. Rodrigues, C. Andrade; Construction and Building Materials, 25, 785–790 (2011).

Google Scholar

69.

H.A. Daynes, The process of diffusion through a rubber membrane, Proceedings of the Royal Society of London, 286–307 (1920).

Google Scholar

70.

Z. Wróblewski, On the Nature of Absorption of Gases, Nature 21, 190–192 (1879).

Google Scholar