caa a22 4500 463163346 CHVBK 20180406164754.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s11242-006-0029-5 doi (NATIONALLICENCE)springer-10.1007/s11242-006-0029-5 A stochastic model for filtration of particulate suspensions with incomplete pore plugging [Elektronische Daten] [A. Shapiro, P. Bedrikovetsky, A. Santos, O. Medvedev] A population balance model for particulate suspension transport with capture of particles by porous medium accounting for complete and incomplete plugging of pores by retained particles is derived. The model accounts for pore space accessibility, due to restriction on finite size particle movement through the overall pore space, and for particle flux reduction, due to transport of particles by the fraction of the overall flux. The novel feature of the model is the residual pore conductivity after the particle retention in the pore and the possibility of one pore to capture several particles. A closed system of governing stochastic equations determines the evolution of size distributions for suspended particles and pores. Its averaging results in the closed system of hydrodynamic equations accounting for permeability and porosity reduction due to plugging. The problem of deep bed filtration of a single particle size suspension through a single pore size medium where a pore can be completely plugged by two particles allows for an exact analytical solution. The phenomenological deep bed filtration model follows from the analytical solution. Springer Science+Business Media B.V., 2006 Deep bed filtration nationallicence Incomplete plugging nationallicence Suspension nationallicence Size distribution nationallicence Accessibility nationallicence Stochastic model nationallicence Averaging nationallicence Shapiro A. Department of Chemical Engineering, Technical University of Denmark, b.229, DK 2800, Lyngby, Denmark aut Bedrikovetsky P. Petroleum Department, State North Fluminense University (UENF/LENEP), Rua Sebastião Lopes da Silva, 56, CEP: 27937-150, Riviera Fluminense, Macaé, RJ, Brazil aut Santos A. Civil Engineering Department, Catholic University do Rio de Janeiro (PUC-RJ/GTEP), Rio de Janeiro, Brazil aut Medvedev O. Department of Chemical Engineering, Technical University of Denmark, b.229, DK 2800, Lyngby, Denmark aut Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 135-164 0169-3913 67:1<135 2007 67 11242 https://doi.org/10.1007/s11242-006-0029-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-0029-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shapiro A. Department of Chemical Engineering, Technical University of Denmark, b.229, DK 2800, Lyngby, Denmark aut NATIONALLICENCE 700 1- Bedrikovetsky P. Petroleum Department, State North Fluminense University (UENF/LENEP), Rua Sebastião Lopes da Silva, 56, CEP: 27937-150, Riviera Fluminense, Macaé, RJ, Brazil aut NATIONALLICENCE 700 1- Santos A. Civil Engineering Department, Catholic University do Rio de Janeiro (PUC-RJ/GTEP), Rio de Janeiro, Brazil aut NATIONALLICENCE 700 1- Medvedev O. Department of Chemical Engineering, Technical University of Denmark, b.229, DK 2800, Lyngby, Denmark aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 135-164 0169-3913 67:1<135 2007 67 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer