The paper is devoted to a numerical study of the features of fluid redistribution in the pore space of an unconventional hydrocarbon reservoir of the Bazhenov Suite (West Siberian oil and gas basin). We analyzed the filtration properties of the microscale layers of the formation with composite structure and multiscale porosity using the triaxial compression test. The simulation results showed that the flow rate of the pore fluid is determined by a set of parameters, including the rate of change of local stresses, the permeability of the skeleton, the viscosity of the pore fluid, reservoir pressure and the size of its differential region. We revealed the dimensionless combination of these parameters that uniquely determines the value of the fluid flow rate. The results of the study can be used in assessing the contributions of the structural elements structure to reservoir production capacity.