“…Because of the inherent limitations of analytical models, many researchers have employed numerical homogenization schemes such as finite element, finite difference, random walk and Lattice Boltzmann for investigating transport behaviour in cement-based materials [Garboczi & Bentz, 2001;Kamali-Bernard, 2009;Abyaneh et al, 2013aAbyaneh et al, , 2013bAbyaneh et al, ,, 2014Zalzale & McDonald, 2012;Zhang et al, 2013;Du et al, 2014;Liu et al, 2015;Feng et al, 2016]. These methods are all very well-known approaches used in many fields to solve differential equations that govern physical behaviours, but application to study the effect of microcracks is limited.…”