Cross-properties relations in 3D percolation networks: I. Network characteristic length determination

Transport in Porous Media

Volumn 61, Issue 2, 2005, Pages 143-156

  Monteagudo, Jorge E P ^a,b   Lage, Paulo L C ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b Phillips Research Center 224GB   (United States)

Author keywords

Characteristic length; Network model; Percolation theory; Permeability; Porous media; Simulation

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CORRELATION METHODS; HYDRAULICS; POROSIMETERS; POROSITY;

CROSS-PROPERTIES RELATIONS; PERCOLATION NETWORKS; PERCOLATION THRESHOLD; POROSIMETRY; SPATIAL CORRELATIONS;

PERCOLATION (FLUIDS);

PERCOLATION; POROUS MEDIUM;

PERCOLATION; POROUS MEDIUM;

EID: 20444452153     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-004-7362-3     Document Type: Article

References (25)

1. V. Ambegaokar B. Halperin and J. Lange 1971 Hopping conductivity in disordered systems Phys. Rev. B 4 2612
2. I. Chatzis and F. Dullien 1977 Modelling pore structure by 2-D and 3-D networks with applications to sandstones J. Can. Pet. Technol. 16 97-108
3. I. Chatzis and F. Dullien 1982 Mise en Oeuvre de la Théorie de la percolation pour modéliser le drainage des millieux poreux et la perméabilité relative au liquide non mouillant injecté Revue de l'Institute Franais du Petrole 37 2 183-205
4. F. Dullien 1975 New network permeability model of porous media AIChE J. 21 2 299-307
5. A.J. Katz and A.H. Thompson 1986 Quantitative prediction of permeability in porous roc Phys. Rev. B 34 11 8179-8181
6. I. Kornhauser F. Rojas R. Faccio J. Riccardo A. Vidales and G. Zgrablich 1997 Structure characterization of disordered porous media? A memorial review dedicated to Vicente Mayagoitia Fractals 5 3 355-377
7. H. Makse S. Havlin P. Ivanov P. King S. Prakash and H. Stanley 1996 Pattern formation in sedimentary rocks: Connectivity, permeability and spatial correlations Physica A 233 587-605
8. N. Martys and E. Graboczi 1992 Length scales relating the fluid permeability and electrical conductivity in random two-dimensional model porous media Phys. Rev. B 46 10 6080-6090
9. M. Matsumoto and T. Nishimura 1998 Mersenne twister: A 623-dimensionally equidistributed uniform pseudorandom number generator ACM Trans. Model. and Computer Simul. 8 3-30
10. G. Matthews A. Moss M. Spearing and F. Voland 1993 Network calculation of mercury intrusion and absolute permeability in sandstone and other porous media Powder Technol. 76 95-107
11. G. Matthews C. Ridgway and M. Spearing 1995 Void space modeling of mercury intrusion hysteresis in sandstone, paper coating, and other porous media J. Colloid Interface Sci. 171 8-27
12. V. Mayagoitia F. Rojas and I. Kornhauser 1985 Pore network interactions in ascending processes relative to capillary condensation J. Chem. Soc. Faraday Trans. I. 81 2931-2940
13. V. Mayagoitia F. Rojas I. Kornhauser and H. Prez-Aguilar 1997 Modeling of porous media and surface structures: Their true essence as networks Langmuir 13 1327-1331
14. J.E.P. Monteagudo K. Rajagopal and P.L.C. Lage 2001 Scaling laws in network models: Porous medium property prediction during morphological evolution J. Pet. Sci. Eng. 32 4 179-190
15. J.E.P. Monteagudo K. Rajagopal and P.L.C. Lage 2002 Simulating oil flow in porous medium under asphaltene deposition Chem. Eng. Sci. 57 3 323-337
16. J.E.P. Monteagudo L.F.L.R. Silva and P.L.C. Lage 2003 Scaling laws for network model permeability: Application to wellbore oil flow simulation with solid deposition Chem. Eng. Sci. 58 9 1815-1829
17. Monteagudo, J. E. P. and Lage, P. L. C.: 2005, Cross-properties relations in 3D percolation networks: II. Network permeability, Transp. Porous Media 61, in press.
18. J. Riccardo W. Steele A. Cuesta and G. Zgrablich 1997 Pure Monte Carlo simulation of model heterogeneous substrates: From random surfaces to many-site correlations Langmuir 13 1064-1072
19. M. Sahimi 1994 Applications of Percolation Theory 1st edn, Taylor & Francis London
20. M. Sahimi 1995 Flow and Transport in Porous Media and fractured rock. From Classical Methods to Modern approaches 1st edn, Weinheim VCH.
21. L. Schwartz N. Martys D. Bentz E. Garboczi and S. Torquato 1993 Cross-property relations and permeability estimation in model porous media Phys. Rev. E 48 6 4584-4591
22. C. Tsakiroglou and A. Payatakes 1990 A new simulator of mercury porosimetry for the characterization of porous materials J. Colloid Interface Sci. 137 2 315-339
23. Wagner, R.: 2002, Mersenne twister random number generator,. http://www-personal. engin.umich.edu/wagn-err/MersenneTwister.html accessed on 08/09/2002.
24. M. Yanuka 1989 Percolation processes and porous media. III Prediction of the capillary hysteresis loop from geometrical and topological information of pore space. J. Colloid Interface Sci. 127 1 48-58
25. M. Yanuka F. Dullien and D. Elrick 1986 Percolation processes and porous media. I. Geometrical and topological model of porous media using a three-dimensional joint pore size distribution J. Colloid Interface Sci. 112 1 24-41