Pc. Philippi et Ha. Souza, MODELING MOISTURE DISTRIBUTION AND ISOTHERMAL TRANSFER IN A HETEROGENEOUS POROUS MATERIAL, International journal of multiphase flow, 21(4), 1995, pp. 667-691
This paper presents a study of moisture retention and isothermal trans
fer in a cement and lime mortar. The extended range of pore sizes and
the intrinsic heterogeneity of the medium do not allow the use of a si
ngle-scale percolation network for numerically describing the topology
and the physical processes related to fluid retention and transfer. T
hree different scales are used for the numerical description of the ce
ment and lime mortar studied in this paper. Electron scanning pictures
are used for the geometrical modelling of the material in the three d
ifferent scales. The heterogeneity is associated with the fissures net
work, represented in the first scale, where the medium was conceived a
s a series of cubic blocks separated by straight channels. The second
and third scale are used to represent the pores in the cement and lime
paste. A 3D simple cubic percolation site network is used in the thir
d scale to model imbibition and drainage and to predict the hydraulic
conductivity in terms of the moisture content. In the second scale, po
res are represented as embedded bodies in a continuous medium and the
hydraulic conductivity is calculated using Maxwell-De Vries theory for
composite media. At the first scale level, the isothermal mass diffus
ivity D-o is modelled by studying an invasion process of liquid water
into the fissures network, simulating an actual imbibition experiment,
from one extremity of a sample column. Finally, the results of the si
mulation are compared with experimentally obtained values of D-o.