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Lognormal Simulation of Pore Size Distributions in Cementitious Materials
Author(s) -
Shi Dexiang,
Brown Paul W.,
Ma Weiping
Publication year - 1991
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1991.tb07800.x
Subject(s) - log normal distribution , cementitious , mercury intrusion porosimetry , porosimetry , materials science , mineralogy , cement , porosity , composite material , porous medium , mathematics , chemistry , statistics
The pore size distributions in cement pastes and mortars, over the range of pore sizes determined by high‐pressure mercury intrusion porosimetry (MIP), can be described in terms of a multimodal distribution by using lognormal simulation. The pore size distribution may be regarded as a mixture of lognormal distributions. Such a mixture is defined by a compound density function: p ( x ) =Σ f i p ( x , μ i , σ i ), Σ f i = 1, where x is the pore diameter, f i , is the weighting factor of the i th lognormal subdistribution of pore sizes, p ( x , μ i , σ i ), and μ i and σ i are the location parameter and the shape parameter of the i th subdistribution, respectively. It may indicate that different origins and formation mechanisms exist for pores in different size ranges in cementitious materials. A graphical method is proposed to estimate the parameters for the compound distribution. Applications of this model to prediction of permeability are discussed.