Application of the Poisson–Nernst–Planck equations to the migration test

Abstract The Poisson–Nernst–Planck (PNP) equations are applied to model the migration test. A detailed analysis of the equations is presented and the effects of a number of common, simplifying assumptions are quantified. In addition, closed-form solutions for the effective chloride diffusivity based on the full PNP equations are derived, a number of experiments are analyzed in detail, and a new, truly accelerated migration test is proposed. Finally, we present a finite element procedure for numerical solution of the PNP equations.

[1]  Carmen Andrade,et al.  Calculation of chloride diffusivity in concrete from migration experiments, in non steady-state conditions , 1994 .

[2]  Peter Pivonka,et al.  MICROSCOPIC EFFECTS ON CHLORIDE DIFFUSIVITY OF CEMENT PASTES - A SCALE-TRANSITION ANALYSIS , 2004 .

[3]  C. L. Page,et al.  Diffusion in cementitious materials: II, further investigations of chloride and oxygen diffusion in well-cured OPC and OPC/30%PFA pastes , 1995 .

[4]  Abdelkarim Aït-Mokhtar,et al.  A DIRECT METHOD FOR DETERMINING CHLORIDE DIFFUSION COEFFICIENT BY USING MIGRATION TEST , 2004 .

[5]  C. L. Page,et al.  Diffusion in cementitious materials: 1. Comparative study of chloride and oxygen diffusion in hydrated cement pastes , 1991 .

[6]  J. Marchand,et al.  Calculation of ionic diffusion coefficients on the basis of migration test results , 2003 .

[7]  M.D.A. Thomas,et al.  A novel method for describing chloride ion transport due to an electrical gradient in concrete: Part 2. Experimental study , 2004 .

[8]  A. Macgillivray,et al.  Nernst‐Planck Equations and the Electroneutrality and Donnan Equilibrium Assumptions , 1968 .

[9]  Carmen Andrade,et al.  Calculation of chloride diffusion coefficients in concrete from ionic migration measurements , 1993 .

[10]  A discussion of the paper “calculation of chloride diffusivity in concrete from migration experiments, in non-steady-state conditions” by C. Andrade, D. Cervigón, A. Recuero and O. Río , 1995 .

[11]  E. Samson,et al.  Modelling ion diffusion mechanisms in porous media , 1999 .

[12]  George Bramhall,et al.  The validity of Darcy's law in the axial penetration of wood , 1971, Wood Science and Technology.

[13]  Kristian Krabbenhoft,et al.  Double porosity models for the description of water infiltration in wood , 2004, Wood Science and Technology.

[14]  D. E. Goldman.  POTENTIAL, IMPEDANCE, AND RECTIFICATION IN MEMBRANES , 1943, The Journal of general physiology.

[15]  Tang Luping,et al.  Chloride Transport in Concrete - Measurement and Prediction , 1996 .

[16]  C. Andrade,et al.  Oxygen and chloride diffusion in cement pastes as a validation of chloride diffusion coefficients obtained by steady-state migration tests , 2001 .

[17]  Della M. Roy,et al.  Diffusion of ions through hardened cement pastes , 1981 .

[18]  A. Xu,et al.  A discussion of the paper “calculation of chloride diffusion coefficients in concrete from ionic migration measurements” by C. Andrade☆ , 1994 .

[19]  Lars-Olof Nilsson,et al.  Rapid Determination of the Chloride Diffusivity in Concrete by Applying an Electric Field , 1993 .

[20]  Edward L Cussler,et al.  Diffusion: Mass Transfer in Fluid Systems , 1984 .

[21]  J. Marchand,et al.  Describing ion diffusion mechanisms in cement-based materials using the homogenization technique , 1999 .

[22]  Marta Castellote,et al.  Measurement of the steady and non-steady-state chloride diffusion coefficients in a migration test by means of monitoring the conductivity in the anolyte chamber. Comparison with natural diffusion tests , 2001 .

[23]  M.D.A. Thomas,et al.  A NOVEL METHOD FOR DESCRIBING CHLORIDE ION TRANSPORT DUE TO AN ELECTRICAL GRADIENT IN CONCRETE: PART 1. THEORETICAL DESCRIPTION , 2004 .

[24]  K. Morgan,et al.  The Finite Element Method In Heat Transfer , 1996 .

[25]  Lars-Olof Nilsson,et al.  Numerical simulation of multi-species transport through saturated concrete during a migration test - MsDiff code , 2000 .

[26]  Roland W. Lewis,et al.  The Finite Element Method in Heat Transfer Analysis , 1996 .

[27]  B. Johannesson.  Diffusion of a mixture of cations and anions dissolved in water , 1999 .

[28]  R. D. Hooton,et al.  Influence of voltage on chloride diffusion coefficients from chloride migration tests , 1996 .