Tortuosity in Porous Media: A Critical Review

[1]  F. Ghomari,et al.  Monitoring of Pollutant Diffusion into Clay Liners by Electrical Methods , 2013, Transport in Porous Media.

[2]  A. Hunt,et al.  Unsaturated hydraulic conductivity in porous media: Percolation theory , 2012 .

[3]  P. Møldrup,et al.  Maxwell’s Law Based Models for Liquid and Gas Phase Diffusivities in Variably-Saturated Soil , 2012 .

[4]  A. Hunt,et al.  Comparison of the predictions of universal scaling of the saturation dependence of the air permeability with experiment , 2012 .

[5]  Francisco J. Valdés-Parada,et al.  The Role of Tortuosity in Upscaling , 2011 .

[6]  A. Duda,et al.  Hydraulic tortuosity in arbitrary porous media flow. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Boming Yu,et al.  Tortuosity of Flow Paths through a Sierpinski Carpet , 2011 .

[8]  Mohammad Mehdi Ahmadi,et al.  Analytical derivation of tortuosity and permeability of monosized spheres: a volume averaging approach. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  M. Duduković,et al.  Tortuosity model for fixed beds randomly packed with identical particles , 2010 .

[10]  R. Khaleel.  Interfacial area based variable tortuosity‐connectivity for unsaturated media: A comparison using Miller–Miller scaling and Arya–Paris model , 2008 .

[11]  João M.P.Q. Delgado,et al.  A Simple Experimental Technique to Measure Tortuosity in Packed Beds , 2008 .

[12]  Boming Yu,et al.  Geometrical Models for Tortuosity of Streamlines in Three-Dimensional Porous Media , 2008 .

[13]  J C Vassilicos,et al.  Transport properties of saturated and unsaturated porous fractal materials. , 2008, Physical review letters.

[14]  Z. Koza,et al.  Tortuosity-porosity relation in porous media flow. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Yongjin Feng,et al.  FRACTAL DIMENSION FOR TORTUOUS STREAMTUBES IN POROUS MEDIA , 2007 .

[16]  R. Bouchet,et al.  Tortuosity of porous particles. , 2007, Analytical chemistry.

[17]  Zhangxin Chen,et al.  Critical review of the impact of tortuosity on diffusion , 2007 .

[18]  M. Sahimi,et al.  The effective diffusivities in porous media with and without nonlinear reactions , 2007 .

[19]  A. Hunt,et al.  Dependence of the Electrical Conductivity on Saturation in Real Porous Media , 2006 .

[20]  K. P. Saripalli,et al.  An Air–Water Interfacial Area Based Variable Tortuosity Model for Unsaturated Sands , 2005 .

[21]  Yun Mei-Juan,et al.  A Geometry Model for Tortuosity of Streamtubes in Porous Media with Spherical Particles , 2005 .

[22]  Shmulik P. Friedman,et al.  Soil properties influencing apparent electrical conductivity: a review , 2005 .

[23]  A. Einstein.  Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.

[24]  Yu Bo-Ming,et al.  A Geometry Model for Tortuosity of Flow Path in Porous Media , 2004 .

[25]  A. Hunt,et al.  On the vanishing of solute diffusion in porous media at a threshold moisture content , 2003 .

[26]  Stephen R. Cattle,et al.  Linking hydraulic conductivity and tortuosity parameters to pore space geometry and pore-size distribution , 2003 .

[27]  K. P. Saripalli,et al.  Prediction of Diffusion Coefficients in Porous Media Using Tortuosity Factors Based on Interfacial Areas , 2002, Ground water.

[28]  S. Rigby,et al.  A statistical model for the heterogeneous structure of porous catalyst pellets. , 2002, Advances in colloid and interface science.

[29]  P. Grathwohl,et al.  Tracer diffusion coefficients in sedimentary rocks: correlation to porosity and hydraulic conductivity. , 2001, Journal of contaminant hydrology.

[30]  A. Garrouch,et al.  Using diffusion and electrical measurements to assess tortuosity of porous media , 2001 .

[31]  Kazunobu Takahashi,et al.  Evaluation of the tortuosity parameter for forest soils to predict unsaturated hydraulic conductivity , 2001, Journal of Forest Research.

[32]  N. Odling,et al.  Scaling of fracture systems in geological media , 2001 .

[33]  P. Schjønning,et al.  Tortuosity, diffusivity, and permeability in the soil liquid and gaseous phases , 2001 .

[34]  P. Schjønning,et al.  Predicting the Gas Diffusion Coefficient in Repacked Soil Water‐Induced Linear Reduction Model , 2000 .

[35]  Marcel G. Schaap,et al.  Improved Prediction of Unsaturated Hydraulic Conductivity with the Mualem‐van Genuchten Model , 2000 .

[36]  J. S. Andrade,et al.  Traveling time and traveling length in critical percolation clusters. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[37]  S. Friedman,et al.  Critical path analysis of the relationship between permeability and electrical conductivity of three‐dimensional pore networks , 1998 .

[38]  Y. Bernabé,et al.  Effect of the variance of pore size distribution on the transport properties of heterogeneous networks , 1998 .

[39]  P. Carman.  Fluid flow through granular beds , 1997 .

[40]  Jussi Timonen,et al.  Permeability and effective porosity of porous media , 1997 .

[41]  M. Renaud,et al.  Transport phenomena in multi-particle systems—I. Limits of applicability of capillary model in high voidage beds-application to fixed beds of fibers and fluidized beds of spheres , 1997 .

[42]  S. Tarafdar,et al.  Archie's law from a fractal model for porous rocks , 1997 .

[43]  Roland Wimmerstedt,et al.  Modelling steam drying of a single porous ceramic sphere: experiments and simulations , 1997 .

[44]  Antti I. Koponen,et al.  Tortuous flow in porous media. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[45]  M. Knackstedt,et al.  Direct simulation of electrical and hydraulic tortuosity in porous solids , 1995 .

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

[47]  C. David,et al.  Geometry of flow paths for fluid transport in rocks , 1993 .

[48]  Bo Barker Jørgensen,et al.  Diffusion coefficients of sulfate and methane in marine sediments: Influence of porosity , 1993 .

[49]  L. Gladden,et al.  Modelling of diffusion and reaction in porous catalysts using a random three-dimensional network model , 1992 .

[50]  P. Renault,et al.  The effect of spatially correlated blocking-up of some bonds or nodes of a network on the percolation threshold , 1991 .

[51]  S. Gorelick,et al.  Dispersion and advection in unsaturated porous media enhanced by anion exclusion , 1991, Nature.

[52]  J. Masliyah,et al.  Flow through isotropic granular porous media , 1991 .

[53]  Scott W. Tyler,et al.  Fractal processes in soil water retention , 1990 .

[54]  Scott W. Tyler,et al.  An explanation of scale‐dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry , 1988 .

[55]  S. C. Carniglia.  Construction of the tortuosity factor from porosimetry , 1986 .

[56]  W. Strieder,et al.  Effective conductivities of random fiber beds , 1986 .

[57]  J. Currie,et al.  Gas diffusion in structured materials: the effect of tri-modal pore size distribution , 1985 .

[58]  M. Sahimi,et al.  A percolation model of catalyst deactivation by site coverage and pore blockage , 1985 .

[59]  R. Larson,et al.  Conducting backbone in percolating Bethe lattices , 1982 .

[60]  J. D. Jabro,et al.  Gaseous diffusion equations for porous materials , 1982 .

[61]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[62]  Y. Mualem.  A New Model for Predicting the Hydraulic Conductivity , 1976 .

[63]  F. Dullien.  New network permeability model of porous media , 1975 .

[64]  P. M. Heertjes,et al.  Analysis of diffusion in macroporous media in terms of a porosity, a tortuosity and a constrictivity factor , 1974 .

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

[66]  J. R. Schopper,et al.  A THEORETICAL INVESTIGATION ON THE FORMATION FACTOR/PERMEABILITY/POROSITY RELATIONSHIP USING A NETWORK MODEL* , 1966 .

[67]  Marvin F. L. Johnson.  Pore structure and gaseous diffusion in solid catalysts , 1965 .

[68]  J. M. Smith,et al.  Diffusion and Reaction in Porous Catalysts , 1964 .

[69]  Harold L. Weissberg,et al.  Effective Diffusion Coefficient in Porous Media , 1963 .

[70]  J. Smith,et al.  Diffusion in catalyst pellets , 1962 .

[71]  F. Dullien,et al.  Diffusion of ideal gases in capillaries and porous solids , 1962 .

[72]  G. M. Watson,et al.  Gaseous Diffusion in Porous Media at Uniform Pressure , 1961 .

[73]  P. Lorenz.  Tortuosity in Porous Media , 1961, Nature.

[74]  J. Currie,et al.  Gaseous diffusion in porous media. Part 2. - Dry granular materials , 1960 .

[75]  I. Fatt.  Pore Structure of Sintered Glass from Diffusion and Resistance Measurements , 1959 .

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

[77]  A. R. Gregory,et al.  Fluid Flow through Unconsolidated Porous Aggregates , 1955 .

[78]  Donald L. Katz,et al.  Flow of Gases through Consolidated Porous Media , 1953 .

[79]  N. T. Burdine.  Relative Permeability Calculations From Pore Size Distribution Data , 1953 .

[80]  W. O. Winsauer,et al.  Resistivity of Brine-Saturated Sands in Relation to Pore Geometry , 1952 .

[81]  I. Fatt,et al.  Relative Permeability Studies , 1951 .

[82]  L. Klinkenberg.  ANALOGY BETWEEN DIFFUSION AND ELECTRICAL CONDUCTIVITY IN POROUS ROCKS , 1951 .

[83]  Walter Rose,et al.  Some Theoretical Considerations Related To The Quantitative Evaluation Of The Physical Characteristics Of Reservoir Rock From Electrical Log Data , 1950 .

[84]  G. E. Archie.  The electrical resistivity log as an aid in determining some reservoir characteristics , 1942 .

[85]  H. L. Penman.  Gas and vapour movements in the soil: I. The diffusion of vapours through porous solids , 1940, The Journal of Agricultural Science.

[86]  P. Heitjans,et al.  PFG NMR measurements of tortuosity factors for diffusion in meso- and macropores of FCC catalysts , 2005 .

[87]  Dennis E. Rolston,et al.  Gas diffusivity in undisturbed volcanic ash soils: Test of soil water characteristic based prediction models , 2003 .

[88]  William R. Bowen,et al.  Binary spherical particle mixed beds : porosity and permeability relationship measurement , 2001 .

[89]  Per Schjønning,et al.  Predicting the Gas Diffusion Coefficient in Undisturbed Soil from Soil Water Characteristics , 2000 .

[90]  Po‐zen Wong.  4. Conductivity, Permeability, and Electrokinetics , 1999 .

[91]  M. Ben Clennell,et al.  Tortuosity: a guide through the maze , 1997, Geological Society, London, Special Publications.

[92]  Pierre M. Adler,et al.  Porous media : geometry and transports , 1992 .

[93]  J. Beeckman,et al.  Mathematical description of heterogeneous materials , 1990 .

[94]  Muhammad Sahimi,et al.  Statistical and continuum models of fluid-solid reactions in porous media , 1990 .

[95]  Jacques Comiti,et al.  A new model for determining mean structure parameters of fixed beds from pressure drop measurements: application to beds packed with parallelepipedal particles , 1989 .

[96]  Norman Epstein,et al.  On tortuosity and the tortuosity factor in flow and diffusion through porous media , 1989 .

[97]  M. Sahimi.  Diffusion-controlled reactions in disordered porous media—I. Uniform distribution of reactants , 1988 .

[98]  J. Smith,et al.  Tortuosity factors for diffusion in catalyst pellets , 1983 .

[99]  O. Molerus.  A coherent representation of pressure drop in fixed beds and of bed expansion for particulate fluidized beds , 1980 .

[100]  F. Dullien.  Porous Media: Fluid Transport and Pore Structure , 1979 .

[101]  J. Quirk,et al.  Permeability of porous solids , 1961 .