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Network modelling of water retention and conductivity of porous geomaterialsbased on filling and emptying of pores requires the use of a computational cellwhich is a representative volume element of the material. The conditions forthe existence of a representative volume element are that with increasing cellsize the statistical results of multiple random cells approach a constant meanand zero coefficient of variation of the macroscopic property. In this study,random network analyses were carried out to determine the mean and coefficientof variation of degree of saturation and conductivity for varying capillarysuction and cell size. For water retention, a representative volume element wasobtained for the entire range of capillary suction investigated. Forconductivity, a representative volume element was obtained for most of therange of capillary suction, but there is a small range of capillary suction forwhich the coefficient of variation does not reduce with increasing size of thecomputational cell, due to onset and termination of percolation of the wettingfluid (during wetting and drying, respectively).

On the influence of cell size on network modelling of water retention and conductivity of geomaterials