Abstract
The present state of development of the micromechanics of (primarily two-phase) flow through porous media is briefly reviewed: the aims, approaches, results achieved and promising research trends are discussed.
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A. Ban, A. F. Bogomolova, V. A. Maksimov,et al., The Movement of Fluids in Rocks and the Effect of the Rock Properties [in Russian], Gostoptekhizdat, Moscow (1962).
G. I. Barenblatt, V. M. Entov, and V. I. Ryzhik,The Flow of Liquids and Gases in Porous Formations [in Russian], Nedra, Moscow (1984).
E. S. Romm,Structural Models of the Pore Space in Rocks [in Russian], Nedra, Moscow (1985).
G. I. Barenblatt, V. M. Entov, and V. M. Ryzhik,Theory of Fluid Flow Through Natural Rocks, Kluwer, Dordrecht (1990).
A. E. Schleidegger,The Physics of Flow Through Porous Media, Macmillan, New York (1957).
P. M. Adler,Porous Media. Geometry and Transport (1992).
F. A. L. Dullien,Porous Media: Fluid Transport and Pore Structure, Academic Press, New York (1979).
Fundamentals of Fluid Transport in Porous Media, Inst. Francais Pétrol., Arles, France (1990).
I. Chatzis and F. A. L. Dullien, “Modelling pore structure by 2-D and 3-D networks with application in sandstones,”J. Can Pet. Tech.,16, 1 (1977).
I. Chatzis and F. A. L. Dullien, “The modelling of mercury porosimetry and the relative permeability of mercury in sandstones using percolation theory,”Int. Chem. Eng.,25, 47 (1985).
A. Kantzas and I. Chatzis, “Network simulation of relative permeability curves using a bond correlated-size percolation model of pore structure,”Chem. Eng. Comm.,69, 191 (1988).
M. Yanuka, F. A. L. Dullien, and D. E. Elrick, “Percolation processes and porous media. 1. Geometrical and topological model of porous media using a three-dimensional joint pore size distribution,”J. Colloid Interface Sci.,112, 24 (1986).
R. A. Dawe, “Reservoir physics at the pore scale,”in:75 Years of Progress in Oil Field Science and Technology, Baalkema, Rotterdam (1990), p. 177.
D. Avnir, D. Farin, and P. Pfeifer, “Surface geometric irregularity of particulate materials: The fractal approach,”J. Colloid Interface Sci.,103, 112 (1985).
M. Sahimi and Y. C. Yortsos, “Applications of fractal geometry to porous media: a review,” SPE Paper 20476 presented at 1990 Annual Fall Meeting of Soc. Petrol. Eng. New Orleans, 23–26 September (1990), p. 25.
P.-Z. Wong, “The statistical physics of sedimentary rock,”Phys. Today,41, 24 (1988).
D. H. Rothmanet al., MIT Porous Flow Project. Rep. No. 4, Massachusetts Inst. Tecnol., Cambridge, Mass. (1991).
D. H. Rothman, “Macroscopic laws for immiscible two-phase flow in porous media: Results from numerical experiments,”J. Geophys. Res.,95, 8663 (1990).
G. D. Doolen (ed.)et al., Lattice Gas Methods for Partial Differential Equations, Addison-Wesley (1990).
C.-F. Tsang, “A new approach to tracer transport analysis: from fracture systems to strongly heterogeneous porous media,”Proc. Int. Workshop “Appropriate Methodologies for Development and Management of Groundwater Resources in Developing Countries,” Hyderabad, India, February 28–March 4 (1989).
I. Chatzis, N. R. Morrow, and H. T. Lim, “Magnitude and detailed structure of residual oil saturation,”Soc. Pet. Eng. J.,23, 311 (1983).
J. Fatt, “The network model of porous media. 1. Capillary pressure characteristics,”Trans. AIME,207, 144 (1956).
I. Flatt, “The network model of porous media. 2. Dynamic properties of a single size tube network,”Trans. AIME,207, 60 (1956).
I. Fatt, “The network model of porous media. 3. Dynamic properties of networks with tube radius distribution,”Trans. AIME,207, 164 (1956).
V. M. Entov and É. Chen-sin, “Micromechanics of two-phase flow in porous media,” in:Numerical Methods of Solving Problems of Multiphase Incompressible Flow Through Porous Media [in Russian], Novosibirsk (1987).
V. M. Entov, S. A. Zak, E. Chen-sin, and V. A. Yudin, “Micromechanics of two-phase flow through porous media,” in:Fundamentals of Fluid Transport in Porous Media, Pt. 1, IFP, Arles, France (1990), p. 87.
J. Koplik and T. J. Lasseter, “Two-phase flow in random network models of porous media,”Soc. Pet. Eng. J.,25, 89 (1985).
J. Koplik, S. Redner, and D. Wilkinson, “Transport and dispersion in random networks with percolation disorder,”Phys. Rev., A37, 2619 (1988).
R. Lenormand, “Différents mécanismes de déplacements visqueux et capillaires en milieu poreux: Diagramme de phase,”C.R. Acad. Sci. Paris,301, 247 (1985).
R. Lenormandet al., “Immiscible displacements in heterogeneous porous media: simulation with anisotropic multifractal networks and CT scanner experiments,”Fundamentals of Fluid Transport in Porous Media, Pt. 2, Inst. Franc. Petrol., Arles, France (1990), p. 101.
R. Lenormand, E. Touboul, and C. Zarcone, “Numerical models and experiments on immiscible displacements in porous media,”J. Fluid Mech.,189, 165 (1988).
R. Lenormand, C. Zarcone, and A. Sarr, “Mechanisms of the displacement of one fluid by another in a network of capillary ducts,”J. Fluid Mech.,135, 337 (1983).
A. C. Payatakes, “Dynamics of oil ganglia during immiscible displacement in water-wet porous media,”Ann. Rev, Fluid Dyn.,14, 365 (1982).
G. N. Constantinides and A. C. Payatakes, “A theoretical model of collision and coalescence of ganglia in porous media,”J. Colloid Interface Sci.,141, 486 (1991).
M. B. Panfilov and I. V. Tuvaeva, “Percolation models of fluid displacement processes in random inhomogeneous media,” Preprint No. 12 [in Russian], Institute of Problems of Oil and Gas, Moscow (1991).
K. Kantzas, I. Chatzis, and F. A. L. Dullien, “Mechanism of capillary displacement of residual oil by gravity-assisted inert-gas injection,” SPE Paper, No. 17506 (1988).
F. Kalaydjian, B. Bourbiaux, and D. Guerillot, “Viscous coupling between fluid phases for two-phase flow in porous media: Theory versus experiment,”Proc. of the Fifth Europ. Symp. on IOR, Budapest, 1989, Budapest (1989). p. 717.
F. Kalaudjian, “Origin and quantification of coupling between relative permeabilities for two-phase flows in porous media,”Transp. Porous Media,5, 215 (1990).
Problems of the Theory of Flow Through Porous Media and the Mechanics of Enhanced Oil Recovery Processes [in Russian], Nauka, Moscow (1987).
R. A. Daweet al., “Physical modelling of transport phenomena in porous media — the pore scale,” in:Adv. Transp. Phen. in Porous Media, Martinus Nijhoff Publ., Dordrecht (1987), p. 48.
J. E. Hanssen, “Use of foams in gas flooding,” in:Recent Advances in IOR Methods in North Sea Sandstone Reservoirs, SPOR Monograph, Stavanger (1991).
K. T. Chambers and C. J. Radke, “Capillary phenomena in foam flow through porous media,” N. R. Morrow (ed.), in:Interfacial Phenomena in Petroleum Recovery, Basel Marcel Dekker, New York (1990), p. 191.
S. Kirkpatrick, “Percolation and conductivity,” in:Theory and Properties of Disordered Materials [Russian translation], Mir, Moscow (1987).
V. V. Kadet and V. I. Selyakov, “A percolation model of two-phase flow through porous media,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 88 (1987).
P. G. de Gennes, “Theory of slow biphasic flows in porous media,”Phys. Chem. Hydrodynam.,4, 175 (1983).
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Based on a paper presented to the Fluid Mechanics Section of the Seventh Congress on Theoretical and Applied Mechanics, Moscow, August 1991.
Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.6, pp. 90–102, November–December, 1992.
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Entov, V.M. Micromechanics of flow through porous media. Fluid Dyn 27, 824–833 (1992). https://doi.org/10.1007/BF01051359
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DOI: https://doi.org/10.1007/BF01051359