caa a22 4500 469100370 CHVBK 20180323133043.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF01051360 doi (NATIONALLICENCE)springer-10.1007/BF01051360 Panfilov M. Moscow aut Structural averaging of flow processes in nonhomogeneous porous media [Elektronische Daten] [M. Panfilov] The problem of constructing macroscopic analogs for the equations describing processes in nonhomogeneous porous media is considered. The classical results of the theory relate to the case in which the averaging procedure leads to the smoothing of the coefficients describing the inhomogeneity without modifying the structure of the equations of the process. It is natural to call such averaging coefficient averaging. In this paper another approach — structural averaging, in which the type of the equations themselves or their qualitative structure is modified, is investigated. In the overwhelming majority of cases, in addition to a small scale of inhomogeneity, these systems also contain one or more small (large) parameters reflecting important differences in the properties of the individual components of the medium or the physical components of the transport process itself. A typical example of the structural averaging problems generated by processes in highly nonhomogeneous media and, moreover, processes with nonequivalent diffusion and convective transport is investigated. The methods of asymptotic averaging [1,2] are employed. Processes in highly nonhomogeneous media were investigated in [3-6]. Studies [4, 8, 9] are concerned with the averaging of convection-diffusion systems. Plenum Publishing Corporation, 1993 Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/6(1992-11-01), 834-845 0015-4628 27:6<834 1992 27 10697 https://doi.org/10.1007/BF01051360 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01051360 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Panfilov M. Moscow aut NATIONALLICENCE 773 0- Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/6(1992-11-01), 834-845 0015-4628 27:6<834 1992 27 10697 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer