Dp. Bentz et al., CELLULAR AUTOMATION SIMULATIONS OF CEMENT HYDRATION AND MICROSTRUCTURE DEVELOPMENT, Modelling and simulation in materials science and engineering, 2(4), 1994, pp. 783-808
Cellular automaton algorithms, which operate on a starting digital ima
ge of a water-cement suspension, are described. The algorithms simulat
e the microstructure development process due to hydration reactions th
at occur between cement and water. This paper describes the evolution
of the cement model from a simple model, which treated the cement part
icles as single-phase materials, with a greatly simplified hydration c
hemistry, into a model which has many more chemical species and includ
es numerous reactions which eventually convert the viscous water-cemen
t suspension into a rigid porous solid. Methods are presented for gene
rating two- and three-dimensional images representing suspension initi
al conditions; these are derived from both micrographs of real cements
and computer-based algorithms. The 2D initial images are based on the
processing of backscattered electron and x-ray images of real cement
suspensions. The 3D images employ either spheres to represent cement p
articles, or more realistic randomly shaped particles via an algorithm
which smooths and thresholds a 3D lattice whose sites are initially p
opulated with random white noise. A convenient measure of the point at
which the initial paste turns into a solid material is the percolatio
n threshold of the solids. Consideration of these models has already l
ed to the prediction and subsequent experimental observation of a shar
ply defined onset of shear wave propagation, from ultrasonic measureme
nts through hydrating cement slurries. The amount of hydration needed
to reach the percolation threshold can be determined in the present si
mulations, and our results are compared with time of shear wave onset
in actual cement slurries. Variants of the basic model provide insight
into both early-time behaviour that is of primary interest to oil wel
l cementing and the later-time microstructural properties that are of
interest in the construction industry.