Site‐Bond Network Modeling of Disordered Porous Media

The description of disordered porous media through the Dual Site-Bond Model (DSBM) is reviewed and updated with the inclusion of new results. After a brief discussion of the DSBM, the percolation properties of networks are studied. These present novel features with respect to classical percolation in non-correlated networks. These properties are then used in discussing different processes in disordered porous media, namely, invasion percolation and adsorption-desorption hysteresis. Finally, a method for the characterization of pore size distributions from experimental adsorption-desorption isotherms is proposed.

[1]  M. Parlar,et al.  Nucleation and pore geometry effects in capillary desorption processes in porous media: Topical report , 1989 .

[2]  D. Salin,et al.  PHASE DIAGRAM OF FULLY DEVELOPED DRAINAGE IN POROUS MEDIA , 1997 .

[3]  N. Seaton,et al.  Determination of the connectivity of porous solids from nitrogen sorption measurements — II. Generalisation , 1992 .

[4]  A. Vidales,et al.  Percolation Effects on Adsorption−Desorption Hysteresis , 2000 .

[5]  A. Vidales,et al.  Invasion Percolation Quantities on Correlated Networks , 1998 .

[6]  Immiscible Displacement at Pore Level for Correlated Porous Media , 1998 .

[7]  Eustathios S. Kikkinides,et al.  Simulated Annealing as a Method for the Determination of the Spatial Distribution of a Condensable Adsorbate in Mesoporous Materials , 2003 .

[8]  I. Kornhauser,et al.  Domain complexions in capillary condensation. Part 2.—Descending boundary curve and scanning , 1988 .

[9]  Ilya Prigogine,et al.  Surface tension and adsorption , 1966 .

[10]  D. Salin,et al.  Capillary effects in drainage in heterogeneous porous media: continuum modelling, experiments and pore network simulations , 1994 .

[11]  I. Kornhauser,et al.  Characterization of energetic surface heterogeneity by a dual site-bond model , 1993 .

[12]  W. V. Pinczewski,et al.  Invasion percolation: new algorithms and universality classes , 1999 .

[13]  J. Boer,et al.  Studies on pore systems in catalysts: IX. Calculation of pore distributions from the adsorption branch of nitrogen sorption isotherms in the case of open cylindrical pores A. Fundamental equations , 1967 .

[14]  A. Vidales,et al.  Correlated site-bond percolation on a square lattice , 1995 .

[15]  A. Vidales,et al.  Invasion percolation in correlated porous media , 1996 .

[16]  G. Mason.  Determination of the pore-size distributions and pore-space interconnectivity of Vycor porous glass from adsorption-desorption hysteresis capillary condensation isotherms , 1988, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[17]  Pore-level modelling of wetting on correlated porous media , 1998 .

[18]  Tracer dispersion in double porosity porous media with nonlinear adsorption , 1998 .

[19]  Y. Yortsos,et al.  INVASION PERCOLATION WITH VISCOUS FORCES , 1998 .

[20]  M. Sahimi.  Flow phenomena in rocks : from continuum models to fractals, percolation, cellular automata, and simulated annealing , 1993 .

[21]  I. Kornhauser,et al.  Domain complexions in capillary condensation. Part 1.—The ascending boundary curve , 1988 .

[22]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[23]  L. Sarkisov,et al.  Mean-field theory of fluid adsorption in a porous glass , 2001 .

[24]  Vicente Mayagoitia,et al.  Fundamentals of the textural characterization of catalysts , 1993 .

[25]  Raoul Kopelman,et al.  Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm , 1976 .

[26]  G. Zgrablich,et al.  Percolation in correlated site-bond Bethe lattices , 1993 .

[27]  A. Vidales,et al.  Pore-blocking and pore-assisting factors during capillary condensation and evaporation , 2002 .

[28]  S. J. Gregg,et al.  Adsorption Surface Area and Porosity , 1967 .

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

[30]  J. Kärger,et al.  Flow and Transport in Porous Media and Fractured Rock , 1996 .

[31]  Douglas M. Smith,et al.  Characterization of Porous Solids , 1994 .

[32]  Fractal properties of correlated invasion percolation patterns , 2003 .

[33]  F. Rojas,et al.  EFFECT OF POROUS STRUCTURE ON THE DETERMINATION OF PORE-SIZE DISTRIBUTION BY MERCURY POROSIMETRY AND NITROGEN SORPTION , 1991 .

[34]  J. Boer,et al.  Studies on pore systems in catalysts I. The adsorption of nitrogen; apparatus and calculation , 1964 .

[35]  Fernando Rojas,et al.  Simulation of three-dimensional porous networks , 2001 .

[36]  M. Dubinin,et al.  The Potential Theory of Adsorption of Gases and Vapors for Adsorbents with Energetically Nonuniform Surfaces. , 1960 .

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