In this mini-report, the interrelated processes of heat and mass transfer, which take into account the nature of interphase interaction in moistened porous media, are examined. A closed system of balance diffusion equations for the liquid phase and components of the gas mixture of water vapor and dry air is reviewed. The energy or heat balance equation, which contains the intensity of sources of evaporation or condensation during the phase transformation of liquid into water vapor, is analyzed. The phenomenon of dielectric relaxation into a heterogeneous porous layer under the influence of a symmetric electromagnetic field of microwave frequency is modeled by an isotropic (non-magnetic) dielectric with weak or insignificant conductivity and strongly depends on pore saturation by liquid. With the help of the spatial averaging method, taking into account the interphase interaction, the equations for mechanical balance are proposed, in which the exchange integrals of the moment of impulse and mechanical forces are applied. The macroscopic equations of mechanical balance into the solid and liquid phases are proposed, from where the analytical expressions for effective thermal and moisture stresses in the porous wetted layer are obtained using the accepted approximations and taking into account the known relations for stresses in the solid and liquid phases. According to the results of the heat and mass process numerical simulation, the distribution of thermal and moisture stress is obtained.