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Heat transfer in porous building materials is directly related to their physical and thermal characteristics as well as to the time-variable water saturation. Changes of water content in building materials, affecting their heat characteristics, may be caused by exterior and interior environmental conditions or by the interaction with surface water or groundwater and process of capillary rise. Thus, possibility to predict the water content changes in porous building materials in order to analyze possible changes in heat transport seems to be the important issue. This paper presents the attempt of numerical simulation of water flow and heat transport in selected porous building material with application of numerical modeling software, popular in soil and environmental science, FEFLOW 6.0 by WASY-DHI. The performed numerical simulation was based on standard form of Darcy and Richards equation as well as on the total energy conservation equation containing conductive and dispersive components for both, solid and liquid, phases. The required input data, initial and boundary conditions were based on laboratory measurements and literature studies. The validation of develop model of capillary rise was validated by comparison to the result of previously performed laboratory observations.