The dispersion model for hydration of portland cement I. General concepts

Abstract This paper introduces an analytical mathematical model for development of the hydration of Portland cement: t0 + t1A + t2A2 = t t is time, and t0, t1 and t2 are time-constants depending on temperature, cement type, admixtures etc. A is the hydration ratio, i.e. the ratio of hydrated to unhydrated cement. The dispersion model has been derived on basis of the typical particle size distribution for tube-milled products. Earlier findings by us have proven the particle size distribution to be a dominant factor in the correct modelling of cement hydration. The parameterization of hydration curves, which is easily performed with this dispersion model, gives a sufficient characterization of these for purposes of practical interpretations of the effects of factors decisive for the development of hydration.