ABSTRACT: Introduction. The complexity and laboriousness of system studies of physical and chemical processes in the volume
and at the interface of the porous medium determines the need to apply mathematical modeling. This allows not only to identify
and study the determining physical and chemical processes in a porous medium, but also to solve the problems of optimization
and optimal control of processes and regimes by selecting the most favorable conditions. Methods and Materials. The method
of mathematical modeling is used to study the processes, including the creation of composite and nanocomposite materials, as
well as the moistening and moisture absorption in porous materials. In this context, the porous material is treated as a pseudohomogeneous medium with averaged physical and technological parameters. Results. The mathematical models of physical and
chemical processes in the porous medium have been developed, the boundary conditions have been formulated, physical and
effective constants have been determined. The processes in porous medium during metallization of carbon-graphite fibrous material, moistening of compacted textile material by an air flow, and moisture absorption by porous construction materials have been
studied. Discussion. The adequacy of mathematical models to real physical and chemical processes is discussed. The results of
calculations obtained by modeling equations implemented in the form of computer computational algorithms and experiments
are compared. Conclusions. The effectiveness of the method for studying physical-chemical processes in a porous medium and
for calculating optimal values of technological parameters has been established
