Pore-Network Modeling of Isothermal Drying in Porous Media

In this paper we present numerical results obtained with a pore-network model for the drying of porous media that accounts for various processes at the pore scale. These include mass transfer by advection and diffusion in the gas phase, viscous flow in the liquid and gas phases and capillary effects at the liquid-gas interface. We extend our work by studying the effect of capillarity-induced flow in macroscopic liquid films that form at the pore walls as the liquid-gas interface recedes. A mathematical model that accounts for the effect of films on the drying rates and phase distribution patterns is presented. It is shown that film flow is a major transport mechanism in the drying of porous materials, its effect being dominant when capillarity controls the process, which is the case in typical applications.

[1]  Andreas G. Boudouvis,et al.  A 2-D pore-network model of the drying of single-component liquids in porous media , 2001 .

[2]  M. Blunt,et al.  Hydrocarbon Drainage along Corners of Noncircular Capillaries , 1997, Journal of colloid and interface science.

[3]  Y. Yortsos,et al.  Visualization and simulation of bubble growth in pore networks , 1995 .

[4]  Y. Yortsos,et al.  Theory of multiple bubble growth in porous media by solute diffusion , 1995 .

[5]  C. Ho,et al.  Mass transfer limited drying of porous media containing an immobile binary liquid mixture , 1995 .

[6]  Yannis C. Yortsos,et al.  Visualization and simulation of non-aqueous phase liquids solubilization in pore networks , 1999 .

[7]  F. Dullien,et al.  The effects of surface roughness on the capillary pressure curves and the heights of capillary rise in glass bead packs , 1989 .

[8]  Steven Robert McDougall,et al.  Saturation-dependencies of three-phase relative permeabilities in mixed-wet and fractionally wet systems , 2001 .

[9]  M. Prat,et al.  Drying of capillary porous media with a stabilized front in two dimensions. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  C. Zarcone,et al.  Invasion percolation in an etched network: Measurement of a fractal dimension. , 1985, Physical review letters.

[11]  Alkiviades C. Payatakes,et al.  Effects of Precursor Wetting Films in Immiscible Displacement Through Porous Media , 2000 .

[12]  M. Prat Isothermal drying on non-hygroscopic capillary-porous materials as an invasion percolation process , 1995 .

[13]  Clayton J. Radke,et al.  Laminar flow of a wetting liquid along the corners of a predominantly gas-occupied noncircular pore , 1988 .

[14]  Roland Lenormand,et al.  Role Of Roughness And Edges During Imbibition In Square Capillaries , 1984 .

[15]  S. Nowicki,et al.  MICROSCOPIC DETERMINATION OF TRANSPORT PARAHETERS IN DRYING POROUS MEDIA , 1992 .

[16]  A. V. Luikov,et al.  CHAPTER 6 – HEAT AND MASS TRANSFER IN CAPILLARY-POROUS BODIES , 1966 .

[17]  R. Lenormand Liquids in porous media , 1990 .

[18]  M. Prat,et al.  Numerical and experimental network study of evaporation in capillary porous media. Phase distributions , 1996 .

[19]  Ioannis Chatzis,et al.  The Imbibition and Flow of a Wetting Liquid along the Corners of a Square Capillary Tube , 1995 .

[20]  Y. Yortsos,et al.  Effect of liquid films on the isothermal drying of porous media. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  A. Stubos,et al.  Phase change in porous media , 2001 .

[22]  L. Sander,et al.  Diffusion-limited aggregation, a kinetic critical phenomenon , 1981 .

[23]  Martin J. Blunt,et al.  Development of a pore network simulation model to study nonaqueous phase liquid dissolution , 2000 .

[24]  L. Sander,et al.  Diffusion-limited aggregation , 1983 .

[25]  David Wilkinson,et al.  Invasion percolation: a new form of percolation theory , 1983 .

[26]  Matthew D. Jackson,et al.  Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. , 2002 .

[27]  Y. L. Gallo,et al.  Mass Transfer in Fractured Reservoirs during Gas Injection: Experimental and Numerical Modeling , 1997 .

[28]  A. Stubos,et al.  Oil Recovery Potential From Fractured Reservoirs by Mass Transfer Processes , 1999 .

[29]  Alkiviades C. Payatakes,et al.  True-to-mechanism model of steady-state two-phase flow in porous media, using decomposition into prototype flows , 2001 .

[30]  Shaw Drying as an immiscible displacement process with fluid counterflow. , 1987, Physical review letters.

[31]  Marc Prat,et al.  Numerical and experimental network study of evaporation in capillary porous media. Drying rates , 1998 .

[32]  Ioannis N. Tsimpanogiannis,et al.  Scaling theory of drying in porous media , 1999 .