A network model for deep bed filtration of solid particles and emulsion drops

A network model has been developed to simulate the flow of emulsions and solid particles through porous media. Particle deposition due to direct interception, as well pore plugging by straining are accounted for in the model. The effects of two important factors-the ratio of particle size to pore size, and the fluid velocity-on particle deposition are also investigated. The strength of the model lies in its ability to predict accurately effluent concentration profiles, permeability changes occurring during deep bed filtration, and the evolution of the filter coefficient with time. Model predictions for different particle and pore size distributions of both solid and emulsion particles are in agreement with experimental data.

[1]  K. Ives,et al.  Removal mechanisms in deep bed filtration , 1969 .

[2]  F. Dullien,et al.  Determination of the Structure of Porous Media , 1970 .

[3]  L. E. Scriven,et al.  Percolation and conduction on the 3D Voronoi and regular networks: a second case study in topological disorder , 1984 .

[4]  Alkiviades C. Payatakes,et al.  Model of transient aerosol particle deposition in fibrous media with dendritic pattern , 1977 .

[5]  Sahimi,et al.  Transport of large particles in flow through porous media. , 1987, Physical review. A, General physics.

[6]  Mukul M. Sharma,et al.  Application of percolation theory to noncatalytic gas‐solid reactions , 1984 .

[7]  H. S. Fogler,et al.  Sandstone water sensitivity: Existence of a critical rate of salinity decrease for particle capture , 1983 .

[8]  Chi Tien,et al.  Advances in deep bed filtration , 1979 .

[9]  L. Fan,et al.  Analysis of deep bed filtration data: Modeling as a birth-death process , 1985 .

[10]  C. Radke,et al.  Flow mechanism of dilute, stable emulsions in porous media , 1984 .

[11]  Muhammad Sahimi,et al.  DISPERSION IN DISORDERED POROUS MEDIA , 1983 .

[12]  P. Saffman The lift on a small sphere in a slow shear flow , 1965, Journal of Fluid Mechanics.

[13]  Joel Koplik,et al.  Creeping flow in two-dimensional networks , 1982, Journal of Fluid Mechanics.

[14]  H. S. Fogler,et al.  Pore evolution and channel formation during flow and reaction in porous media , 1988 .

[15]  Tomihisa Iwasaki,et al.  Some Notes on Sand Filtration , 1937 .

[16]  R. E. Collins,et al.  Entrainment and Deposition of Fine Particles in Porous Media , 1982 .

[17]  A. Maroudas,et al.  Clarification of suspensions: a study of particle deposition in granular media: Part I—Some observations on particle deposition , 1965 .

[18]  Clayton J. Radke,et al.  A filtration model for the flow of dilute, stable emulsions in porous media. II: Parameter evaluation and estimation , 1986 .

[19]  Chi Tien,et al.  Simulation of the dynamic behavior of deep bed filters , 1979 .

[20]  H. S. Fogler,et al.  Network model for straining dominated particle entrapment in porous media , 1987 .

[21]  R. Siegel,et al.  A new Monte Carlo approach to diffusion in constricted porous geometries , 1986 .

[22]  I. Fatt The Network Model of Porous Media , 1956 .

[23]  Chi Tien,et al.  A new model for granular porous media: Part I. Model formulation , 1973 .

[24]  C. Tien,et al.  A simulation model of aerosol collection in granular media , 1982 .

[25]  M. Sahimi,et al.  Dispersion in Flow through Porous Media , 1982 .

[26]  A. Deb Theory of Sand Filtration , 1969 .

[27]  Mukul M. Sharma,et al.  Transport of particulate suspensions in porous media: Model formulation , 1987 .

[28]  Kenneth J. Ives,et al.  Kinetics of the filtration of dilute suspensions , 1965 .

[29]  Clayton J. Radke,et al.  A filtration model for the flow of dilute, stable emulsions in porous media. I: Theory , 1986 .

[30]  S. Kirkpatrick Percolation and Conduction , 1973 .

[31]  J. Koplik On the effective medium theory of random linear networks , 1981 .

[32]  J. Fitzpatrick,et al.  Theory for particle collection under london and gravity forces , 1973 .

[33]  Y. Yortsos,et al.  A network model for deep bed filtration processes , 1987 .

[34]  Robert Ian Mackie,et al.  Dynamic modeling of deep‐bed filtration , 1987 .

[35]  Robert Ian Mackie,et al.  Deep bed filtration: A new look at the basic equations , 1986 .

[36]  L. Fan,et al.  Experimental study of deep bed filtration: A stochastic treatment , 1984 .

[37]  L. E. Scriven,et al.  Percolation and conduction on Voronoi and triangular networks: a case study in topological disorder , 1984 .

[38]  L. Spielman,et al.  Deposition of non-Brownian particles under colloidal forces , 1973 .

[39]  J. Herzig,et al.  Flow of Suspensions through Porous Media—Application to Deep Filtration , 1970 .