<p>We study the flow of admixtures in a two-phase body with randomly arranged spherical inclusions under the condition of comparable volume fractions of the phases. Based on the representation of the concentration function in the form of Neumann integral series and the use of the first Fick’s law, we deduce a general formula for the diffusion flow in a two-phase body. In this case, we use the correlation function and the averaged function of body’s structure. The computational formulas for the averaged flow and the average amount of admixtures passing through a given cross section of the two-phase body with randomly located spherical inclusions are obtained. Special software modules are developed and the corresponding characteristics of the process of mass transfer are numerically analyzed.</p>