Abstract
We have studied the transport and capture of non-Brownian particles in porous media, when the particles are mainly submitted to hydrodynamic and weak inertial effects. Visualization experiments have been performed using several models of porous media which consist of transparent etched networks of interconnected channels. Typical particle deposits have been observed at the corners of the grains of the porous medium. Their shape and their orientation were dependent on flow rate and on the anisotropy of the flow field. A trajectory analysis model has been applied to a porous medium made of a doubly periodic array of rectangular grains very close to the experimental model. This numerical model has been used to localize particle deposits and to determine particle capture efficiency on the grains over a range of low Stokes numbers, grain aspect ratios and flow-field anisotropy ratios. The results have been interpreted in terms of shape of particle deposits and compared successfully to experimental observations.
Similar content being viewed by others
References
Brenner, H.: 1961, Chem. Engng. Sci. 58, 312.
Cox, R. G. and Brenner, H.: 1967, Chem. Engng. Sci. 22, 1753.
Elimelech, M., Gregory, J., Jia, X. and Williams, R.: 1995, Particle Deposition and Aggregation: Measurement, Modelling and Simulation, Butterworth Heinemann, Oxford.
Fan, L. T., Nassar, R., Hwang, S. H. and Chou, S. T.: 1985, Analysis of deep bed filtration data: modeling as a birth-death process, AIChE Journal 31, 1781.
Ghidaglia, C., Arcangelis, L., Hinch, J. and Guazzelli, E.: 1996, Hydrodynamic interactions in deep bed filtration, Phys. Fluids 8, 6-14.
Goldenberg, L. C., Hutcheon, I., Wardlaw, N. and Melloui, A.: 1993, Rearrangement of fine particles in porous media causing reduction of permeability and formation of preferred pathways of flow: experimental findings and a conceptual model, Transport in Porous Media 13, 221-237.
Goldman, A., Cox, R. and Brenner, H.: 1967, Slow viscous motion of a sphere parallel to a plane wall, Chem. Engng. Sci. 22, 637.
Gruesbeck, C. and Collins, R. E.: 1982, Entrainment and deposition of fine particles in porous media, Soc. Petr. Eng. J. 22, 847-856.
Houi, D., Zarcone, C. and Schmitz, P.: 1990, Visualizations of microfiltration processes, Proc. 5th World Filtration Congress, Nice, France.
Ives, K. J.: 1960, Rational design of filters, Proc. Inst. Civil Engrs. 16, 189.
Lenormand, R., Zarcone, C. and Sarr, A.: 1983, Mechanisms of the displacement of one fluid by another in a network of capillary ducts, J. Fluid Mech. 135, 337-353.
Lenormand, R., Touboul, E. and Zarcone, C.: 1988, Numerical models and experiments on immiscible displacements in porous media, J. Fluid Mech. 189, 165-187.
Maroudas, A. and Eisenklam, P.: 1964, Clarification of suspension: a study of particle deposition in granular media. Part I: Some observations on particle deposition, Chem. Engng. Sci. 20, 867-873.
McDowell Boyer, L. M., Hunt, J. R. and Sitar, N.: 1986, Particle transport through porous media, Water Resour. Res. 22, 1901-1921.
O'Neill, M. E.: 1968, Chem. Engng. Sci. 23, 1293.
Payatakes, A. C., Tien, C. and Turian, R. M.: 1973, A new model for granular porous media, I. Model formulation, AIChE J., 19, 58.
Payatakes, A. C., Park, H. Y. and Petrie, J.: 1981, A visual study of particle deposition and reentrainment during depth filtration of hydrosols with a polyelectrolyte, Chem. Engng. Sci. 36, 1319-1335.
Prat, M., Schmitz, P. and Bories, S.: 1996, Modelling of transport phenomena in porous media: the discrete approach, ERCOFTAC Bull. 28, 10-15.
Rege, S. D. and Fogler, H. S.: 1987, Network model for straining dominated particle entrapment in porous media, Chem. Engng. Sci. 42, 1553-1564.
Rege, S. D. and Fogler, H. S.: 1988, A network model for deep bed filtration of solid particles and emulsion drops, AIChE J., 34, 1761-1772.
Schmitz, P., Houi, D. and Gohr Pinheiro, I.: 1994, A network model to analyze suspension flow in porous media, Proc. Journées Numériques de Besançon (in press).
Schmitz, P., Gohr Pinheiro, I. and Houi, D.: 1996, Experimental and theoretical modelling of a porous media fouling, Proc. 7th World Filtration Congress, Budapest, Hungary.
Spielman, L. and Cukor, P. M.: 1973, Deposition of non-Brownian particles under colloidal forces, J. Coll. Int. Sci. 1, 43-51.
Tien, C. and Payatakes, A. C.: 1979, Advances in deep bed filtration, AIChE J., 25, 737-759.
Tobiason, J. E. and O'Melia, C. R.: 1988, Physicochemical aspects of particle removal in depth filtration, J. AWWA 80, 54-64.
Vaidyanathan, R. and Tien, C.: 1989, Hydrosol deposition in granular beds: an experimental study, Chem. Engng. Comm. 81, 123-144.
Wang, C. Y.: 1996, Stokes flow through an array of rectangular fibers, Int. J. Multiphase Flow 22, 185-194.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Frey, J.M., Schmitz, P., Dufreche, J. et al. Particle Deposition in Porous Media: Analysis of Hydrodynamic and Weak Inertial Effects. Transport in Porous Media 37, 25–54 (1999). https://doi.org/10.1023/A:1006546717409
Issue Date:
DOI: https://doi.org/10.1023/A:1006546717409