  The paper reviews several topics associated with the homogenization of
transport processed in historical masonry structures. Since these often
experience an irregular or random pattern, we open the subject by summarizing
essential steps in the formulation of a suitable computational model in the
form of Statistically Equivalent Periodic Unit Cell (SEPUC). Accepting SEPUC as
a reliable representative volume element is supported by application of the
Fast Fourier Transform to both the SEPUC and large binary sample of real
masonry in search for effective thermal conductivities limited here to a steady
state heat conduction problem. Fully coupled non-stationary heat and moisture
transport is addressed next in the framework of two-scale first-order
homogenization approach with emphases on the application of boundary and
initial conditions on the meso-scale.
