Abstract
The single and double phase macroscopic permeabilities of bimodal reconstructed porous media have been studied. The structure of these bimodal media is characterized by the micro and macroporosities (vug system) and by the micro and macrocorrelation lengths l p and l v. For a single phase, if the vugular system does not percolate, it is shown that the absolute permeability K mainly depends on l p and very little on the other parameters. However, when the vugs percolate, K is also influenced by the density of vugs. For double phase calculations (in strong wettability conditions), it is shown that a vuggy percolating system affects mainly the nonwetting phase permeability. Moreover, the relative permeabilities for a nonpercolating vuggy system are only slightly influenced by the porosity distribution. These predictions are in good agreement with some experimental data obtained with limestones.
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References
Adler, P. M.: 1992, Porous Media, Geometry and Transports, Butterworth-Heinemann.
Adler, P. M. and Thovert, J. F.: 1998, Real porous media: local geometry and macroscopic properties, Appl. Mech. Rev. 51, 537–585.
Adler, P. M., Jacquin, C. G. and Quiblier, J. A.: 1990, Flow in simulated porous media, Int. J. Multiphase Flow 16, 691–712.
Békri, S., Xu, K., Yousefian, F., Adler, P. M., Thovert, J. F., Muller, J., Iden, K., Psyllos, A., Stubos, A. K. and Ioannidis, M. A.: 2000, Pore geometry and transport properties in North Sea Chalk. J. Petrol. Sci. Eng. 25, 107–134.
Békri, S., Laroche, C. and Vizika, O.: 2002, Pore-network models to calculate transport properties in homogeneous and heterogeneous porous media, presented at the XIV International Conference on Computational Methods in Water Resources, Delft, The Netherlands, 23-28 June.
Bousquié, P.: 1979, Texture et Porosité de Roches Calcaires, PhD Thesis, Université de Paris VI, Paris.
Coelho, D.: 1996, Génération, géométrie et propriétés de transport de milieux granulaires, PhD Thesis, Poitiers.
Dauba, C., Hamon, G., Quintard, M. and Lasseux, D.: 1998, Stochastic description of experimental 3D permeability fields in vuggy reservoir cores, SCA Paper 9828.
DeZabala, E. F. and Kamath, J.: 1995, Laboratory evaluation of waterflood behavior of vugular carbonates, Paper SPE 30780, presented at the SPE Annual Technical Conference and Exhibition, Dallas, TX, 22-25 October.
Dullien, F. A. L.: 1979, Porous Media: Fluid Transport and Pore Structure, Academic Press, New York.
Ehrlich, R.: 1971, Relative permeability characteristics of vugular cores - their measurement and significance, SPE 3553, presented at the 46th Annual SPE Meeting of the Society of Petroleum Engineers of AIME, New Orleans, LA.
Ginzbourg, I. and Adler, P. M.: 1995, Boundary flow condition analysis for the three dimensional lattice Boltzman model. J. Phys. II 4, 191–214.
Gustensen, A. K.: 1992, Lattice Boltzmann studies of multiphase flow through porous media, PhD Thesis, MIT.
Henriette, A., Jacquin, C. G. and Adler, P. M.: 1989, The effective permeability of heterogeneous porous media, Physico Chem. Hydrodyn. 11, 63–80.
Jacquin, G. C.: 1964, Corrélation entre la perméabilité et les caractéristiques géométriques du grès de Fontainebleau, Revue Inst Français du Pétrole 19, 921–937.
Kamath, J., Xu, B., Lee, S. H. and Yortsos, Y. C.: 1998, Use of pore network models to interpret laboratory experiments on vugular rocks, J. Petrol. Sci. Eng. 20, 109–115.
Lucia, F. J.: 1999, Carbonate Reservoir Characterization, Springer, Berlin, Hiedelberg, New York.
Moctezuma-Berthier, A., Vizika, O. and Adler, P. M.: 2002a, Macroscopic conductivity of vugular porous media, Transport Porous Med. 49, 313–332.
Moctezuma-Berthier, A., Vizika, O. and Adler, P. M.: 2002b, Water oil relative permeability in vugular porous media: Experiments and simulations, SCA International Symposium of the Society of Core Analysts, Monterey, CA, 22-26 September.
Mourzenko, V. V., Thovert, J. F. and Adler, P. M.: 2001, Percolation in two-scale porous media, Eur. Phys. J. B 19, 75–85.
Thovert, J. F., Salles, J. and Adler, P. M.: 1993, Computerized characterization of the geometry of real porous media: Their discretization, analysis and interpretation, J. Microsc. 170, 65–79.
Thovert, J. F., Yousefian, F., Spanne, P., Jacquin, C. G. and Adler, P. M.: 2001, Grain reconstruction of porous media: application to a low-porosity fontainebleau sandstone. Phys. Rev. E. 63, 1–17.
Yao, J.: 1995, Modélisation Numérique de la Porosité et de la Perméabilité des Roches, Appliquée à la Compréhension des Problèmes d'Injectivité dans les Formations Argilo-gréseuses, PhD Thesis, Univ. Paris 6, Paris.
Yao, J., Thovert, J.-F., Adler, P. M., Burganos, V. N., Payatakes, A. C., Moulu, J. C. and Kalaydjian, F.: 1997, Characterization, reconstruction and transport properties of vosges sandstones, Revue de l'Institut Français du Pétrole 52, 3–21.
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Moctezuma-Berthier, A., Vizika, O., Thovert, J.F. et al. One- and Two-Phase Permeabilities of Vugular Porous Media. Transport in Porous Media 56, 225–244 (2004). https://doi.org/10.1023/B:TIPM.0000021843.08695.23
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DOI: https://doi.org/10.1023/B:TIPM.0000021843.08695.23