Two-fluid flow in sedimentary rock: Simulation, transport and complexity

Journal of Fluid Mechanics

Volumn 341, Issue , 1997, Pages 343-370

  Olson, John F ^a   Rothman, Daniel H ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATA THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; DRAG; FLOW INTERACTIONS; MECHANICAL PERMEABILITY; POROUS MATERIALS; SANDSTONE; X RAY RADIOGRAPHY;

LATTICE GAS CELLULAR AUTOMATON METHOD; X RAY MICROTOMOGRAPHY;

TWO PHASE FLOW;

FLUID FLOW; POROUS MEDIA-FLOW THROUGH; SIMULATION-NUMERICAL; TWO-PHASE FLOW(LIQUID/LIQUID);

GROUNDWATER FLOW; POROUS MEDIUM; SANDSTONE; TWO PHASE FLOW;

EID: 0031170736     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097005533     Document Type: Article

References (48)

1. ADLER, P. M., JACQUIN, C. G. & QUIBLIER, J. A. 1990 Flow in simulated porous media. Intl J. Multiphase Flow 16, 691-712.
2. ADLER, C., D'HUMIÈRES, D. & ROTHMAN, D. H. 1994 Surface tension and interface fluctuations in immiscible lattice gases. J. Phys. Paris 4, 29-46.
3. APPERT, C., OLSON, J. F., ROTHMAN, D. H. & ZALESKI, S. 1995 Spinodal decomposition in a three-dimensional, two-phase, hydrodynamic lattice gas. J. Statist. Phys. 81, 181-197.
4. AUZERAIS, F. M., DUNSMUIR, J., FERRÉOL, B., OLSON, J., RAMAKRISHNAN, T. S., ROTHMAN, D. H. & SCHWARTZ, L. M. 1996 Transport in sandstone; a study based on three-dimensional microtomography. Geophys. Res. Lett. 23, 705-708.
5. AVRAM, D. G. & PAYATAKES, A. C. 1995 Flow regimes and relative permeabilities during steady-state two-phase flow in porous media. J. Fluid Mech. 293, 207-236.
6. BACRI, J. C., CHAOUCHE, M. & SALIN, D. 1990 Modèle simple de permeéabilités relatives croisées. C. R. Acad. Sci. Paris 311, 591-597.
7. BEAR, J. 1972 Dynamics of Fluids in Porous Media. Dover.
8. BENTSEN, R. G. 1994 An investigation into whether the nondiagonal mobility coefficients which arise in coupled, two phase flow are equal. Transport in Porous Media 14, 23-32.
9. BENTSEN, R. G. & MANAI, A. A. 1993 On the use of conventional cocurrent and countercurrent effective permeabilities to estimate the four generalised permeability coefficients which arise in coupled, two-phase flow. Transport in Porous Media 11, 243-262.
10. BUCKLES, J., HAZLETT, R., CHEN, S., EGGERT, K., GRUNAU, D. & SOLL, W. 1994 Toward improved prediction of reservoir flow performance. Los Alamos Science 22, 112-121.
11. CORNUBERT, R., D'HUMIÈRES, D. & LEVERMORE, D. 1991 A Knudsen layer theory for lattice gases. Physica D 47, 241.
12. DARCY, H. 1956 Les Fontaines Publiques de la Ville de Dijon. Victor Dalmot, Paris.
13. DOI, M. & OHTA, T. 1991 Dynamics and rheology of complex interfaces I. J. Chem. Phys. 95, 1242-1248.
14. FRISCH, U., HASSLACHER, B. & POMEAU, Y. 1986 Lattice gas automata for the Navier-Stokes equations. Phys. Rev. Lett. 56, 1505.
15. GENABEEK, O. VAN & ROTHMAN, D. H. 1996 Macroscopic manifestations of microscopic flows through porous media: Phenomenology from simulation. Ann. Rev. Earth Planet. Sci. 24, 63-88.
16. GENNES, P. G. DE 1983 Theory of slow biphasic flows in porous media. Physico-Chem. Hydrodyn. 4, 175.
17. GINSBOURG, I. & ADLER, P. M. 1994 Boundary flow condition analysis for the three-dimensional lattice Boltzmann model. J. Phys. II, Paris 4, 191.
18. GINSBOURG, I. & D'HUMIÈRES, D. 1996 Local second-order boundary method for lattice-Boltzmann models. J. Statist. Phys. (submitted).
19. GOODE, P. A. & RAMAKRISHNAN, T. S. 1993 Momentum transfer across fluid-fluid interfaces in porous media: a network model. AIChE J. 39, 1124-1134.
20. GUEYFFIER, D. & ZALESKI, S. 1996 Personal communication.
21. GUNSTENSEN, A. K. 1992 Lattice-Boltzmann studies of multiphase flow through porous media. PhD thesis, MIT.
22. GUNSTENSEN, A. K. & ROTHMAN, D. H. 1993 Lattice-Boltzmann studies of immiscible two-phase flow through porous media. J. Geophys. Res. 98, 6431-6441.
23. HASIMOTO, H. 1959 On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. J. Fluid Mech. 5, 317-328.
24. KALAYDJIAN, F. 1990 Origin and quantification of coupling between relative permeabilities for two-phase flows in porous media. Transport in Porous Media 5, 215-229.
25. KINNEY, J. H., BREUNIG, T. M., STARR, T. L., HAUPT, D., NICHOLS, M. C. STOCK, S. R., BUTTS, M. D. & SAROYAN, R. A. 1993 X-ray tomographic study of chemical vapor infiltration processing of ceramic composites. Science 260, 789-792.
26. LADD, A. J. C. 1994 Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. J. Fluid Mech. 271, 311-339.
27. LAMB, H. 1932 Hydrodynamics, 6th Edn. Cambridge University Press.
28. LINDQUIST, W. B., LEE, S.-M., COKER, D. A., JONES, K. W. & SPANNE, P. 1996 Medial axis analysis of void structure in three-dimensional tomographic images of porous media. J. Geophys. Res. 101,8297-8310.
29. MANNSETH, T. 1991 Commentary on 'origin and quantification of coupling between relative permeabilities for two-phase flows in porous media' by F. Kalaydjin. Transport in Porous Media 6, 469-471.
30. OLSON, J. F. 1995 Two-fluid flow in sedimentary rock: Complexity, transport and simulation. PhD thesis, MIT.
31. OLSON, J. F. & ROTHMAN, D. H. 1995 Three-dimensional immiscible lattice gas: application to sheared phase separation. J. Statist. Phys. 81, 199 -222.
32. ONSAGER, L. 1931a Reciprocal relations in irreversible processes I. Phys. Rev. 37, 405-426.
33. ONSAGER, L. 1931b Reciprocal relations in irreversible processes II. Phys. Rev. 38, 2265-2279.
34. PRESS, W. H., TEUKOLSKY, S. A., VETTERLING, W. T. & FLANNERY, B. P. 1994 Numerical Recipes, 2nd Edn. Cambridge University Press.
35. REIF, F. 1965 Fundamentals of Statistical and Thermal Physics. McGraw-Hill.
36. ROTHMAN, D. H. & ZALESKI, S. 1994 Lattice-gas models of phase separation: interfaces, phase transitions, and multiphase flow. Rev. Mod. Phys. 66, 1417-1479.
37. ROTHMAN, D. H. & ZALESKI, S. 1997 Lattice-Gas Automata: Simple Models of Complex Hydrodynamics. Cambridge University Press.
38. SALLÈS, J., THOVERT, J. F. & ADLER, P. M. 1993 Reconstructed porous media and their application to fluid flow and solute transport. J. Contam. Hydrol. 13, 3-22.
39. SALLÈS, J., THOVERT, J. F. & ADLER, P. M. 1994 Transports in reconstructed porous media. In Characterization of Porous Solids III (ed. J. Roquerol, F. Rodríguez-Reinoso, K. S. W. Sing & K. K. Unger), pp. 211-223. Elsevier.
40. SANGANI, A. S. 1987 Sedimentation in ordered emulsions of drops at low Reynolds numbers. Z. Angew. Math. Phys. 38, 542-556.
41. SHEIDEGGER, A. E. 1974 The Physics of Flow Through Porous Media. University of Toronto Press.
42. SKORDOS, P. A. 1993 Initial and boundary conditions for the lattice Boltzmann method. Phys. Rev. E 48, 4823-4842.
43. SOLL, W., CHEN, S., EGGERT, K., GRUNAU, D. & JANECKY, D. 1994 Application of the lattice-Boltzmann technique to multi-fluid flow in popous media. In Computational Methods in Water Resources X (ed. A. Peters), pp. 991-999. Kluwer.
44. SPANNE, P., THOVERT, J. F., JACQUIN, W. B., LINDQUIST, W. B., JONES, K. W. & ADLER, P. M. 1994 Synchroton computed microtomography of porous media: topography and transports. Phys. Rev. Lett. 73, 2001-2004.
45. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
46. YAO, Y., FRYKMAN, P., KALAYDJIAN, F., THOVERT, J. F. & ADLER, P. M. 1993 High-order moments of the phase function for real and reconstructed model porous media: a comparison. J. Colloid Interface Sci. 156, 478-490.
47. ZARCONE, C. 1994 Étude du couplage visqueux en milieu poreux: mesure des perméabilités croisées. PhD thesis, L'Institut National Polytechnique de Toulouse.
48. ZARCONE, C. & LENORMAND, R. 1994 Détermination expérimentale du couplage visqueux dans les écoulements diphasique en milieu poreux. C. R. Acad. Sci. Paris II 318, 1429-1435.