Predicting relative-permeability curves directly from rock images

Proceedings - SPE Annual Technical Conference and Exhibition

Volumn 6, Issue , 2009, Pages 4051-4070

  Silin, Dmitriy ^a   Patzek, Tad ^b  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ROCKS;

COMPUTATIONAL PARAMETERS; COMPUTATIONAL PROCEDURES; COMPUTER TOMOGRAPHY IMAGES; COMPUTER-GENERATED IMAGES; FLUID DISTRIBUTION; MINERAL DISSOLUTION AND PRECIPITATIONS; NUMERICAL SOLUTION; RELATIVE PERMEABILITY CURVES;

MINERALS;

EID: 78349279957     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/124974-ms     Document Type: Conference Paper

References (48)

1. Fatt, I. : "The network model of porous media. 1. Capillary pressure characteristics," Trans. AIME (1956) 207, No. 7, 144-159.
2. Fatt, I.: "The network model of porous media. 2. Dynamic properties of a single size tube network," Trans. AIME (1956) 207, No. 7, 160-163.
3. Fatt, I.: "The network model of porous media. 3. Dynamic propertries of networks with tube radius distribution," Trans. AIME (1956) 207, No. 7, 164-181.
4. Bakke, S. and Ø, P. E.: "3-D pore-scale modeling of sandstones and flow simulations in the pore networks," SPE Journal (1997) 2, 136-149.
5. Ø, P. E., Bakke, S., and Arntzen, O. J.: "Extending predictive capabilities to network models," SPE Journal (1998) No. December, 324-336.
6. Blunt, M. J. and King, P.: "Relative permeabilities from two- and three-dimensional pore-scale metwork modeling," Transport in Porous Media (1991)6,407-433.
7. Bryant, S. and Blunt, M.: "Prediction of Relative Permeability in Simple Porous-Media," Physical Review A (1992) 46,2004-2011.
8. Bryant, S. L., King, P. R, and Mellor, D. W.: "Network Model Evaluation of Permeability and Spatial Correlation in a Real Random Sphere Packing," Transport in Porous Media 11: 53-70, 1993.
9. Transport in Porous Media (1993) 11, 53-70.
10. Blunt, M. J. and Sher, H.: "Pore Network Modeling of Wetting," Physical Review E (1995) 52, No. December, 6387.
11. Patzek, T. W: "Verification of a complete pore network simulator of drainage and imbibition," SPE Journal (2001) 6, No. 2, 144-156.
12. Al-Futaisi, A. and Patzek, T. W.: "Impact of Wettability on two-phase flow characteristics of sedimentary rock: Quasi-static model," Water Resources Research (2003) 39, No. 2, 1042-1055.
13. Patzek, T. W. and Silin, D. B.: "Shape Factor and Hydraulic Conductance in Noncircular Capillaries: I. One-Phase Creeping Flow," Journal of Colloid and Interface Science (April 2001) 236, 295-304.
14. Patzek, T. W. and Kristensen, J. G.: "Shape Factor and Hydraulic Conductance in Noncircular Capillaries: II. Two-Phase Creeping Flow," Journal of Colloid and Interface Science (April 2001) 236, 305-317.
15. Avkhadiev, F. G. and Kacimov, A. R.: "Analytical Solutions and Estimates for Microlevel Flows," Journal of Porous Media (2005) 8, No. 2, 125-148.
16. Entov, V. M.: "The micromechanics of flow in porous media," Soviet Academy Izvestia. Mechanics of Gas and Fluids (1992) No. 6, 90-102.
17. Blunt, M. J.: "Flow in porous media - pore-network models and multiphase flow," Current Opinion in Colloid & Interface Science (2001) 6, No. 3, 197-207.
18. Martys, N. S. and Chen, H.: "Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method," Physical Review E (1996) 53, 743.
19. Auzerais, F. M., Dunsmuir, J., Ferreol, B. B., Martys, N., Olson, J., Ramakrishnan, T. S., Rothman, D. H., and Schwartz, L. M.: "Transport in sandstone: A study based on three dimensional microtomography," Geophysycal Research Letters (1996) 23, 705-708.
20. O'Connor, R. M. and Fredrich, J. T.: "Microscale flow modelling in geologic materials," Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy (1999) 24, No. 7, 611-616.
21. Fredrich, J. T., DiGiovanni, A. A., and D. R. Noble, D. R.: "Predicting macroscopic transport properties using microscopic image data," Journal of Geophysical Research (2006) 111, B03201.
22. Jin, G., Patzek, T., and Silin, D. B.: "Direct Prediction of the Absolute Permeability of Unconsolidated and Consolidated Reservoir Rock. SPE 90084," 2003 SPE Annual Technical Conference and Exhibition, SPE, Houston, Texas, U.S.A. (2004).
23. Noble, D. R., Chen, S., Georgiadis, J. G., and Buckius, R. O.: "A consistent hydrodynamic boundary condition for the lattice Boltzmann method," Physics of Fluids (1995) 7, No. 1,203-209.
24. van Genabeek, O. and H., R. D.: "Macroscopic Manifestations of Microscopic Flows Through Porous Media," Annual Review of Earth and Planetary Sciences (May 1996) 24, 63-87.
25. d'Humières, D. and Ginzburg, I.: "Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to "magic" collision numbers," Computers and Mathematics with Applications; doi:10.1016/j.camwa.2009.02.008.
26. Adler, P. M.: "Fractal porous media III: Transversal Stokes flow through random and Sierpinski carpets," Transport in Porous Media (April 1988) 3, No. 2, 185-198.
27. Schwartz, L. M., Martys, N., Bentz, D. P., Garboczi, E. J., and Torquato, S.: "Cross-property relations and permeability estimation in model porous media," Physical Review E (December 1993) 48, No. 6,4584-4591.
28. Manwart, C, Aaltosalmi, U., Koponen, A., Hilfer, R., and Timonen, J.: "Lattice-Boltzmann and finite-difference simulations for the three-dimensional porous media," Physical Review E (2002) 66,016702 1-11.
29. Manwart, C. and Hilfer, R.: "Numetrical simulations of creeping fluid flow in reconstruction models of porous media," Physica A (2002) 314, 706-713.
30. Silin, D. B., Jin, G., and Patzek, T. W.: "Robust deteremination of the pore-space morphology in sedimentary rocks," Journal of Petroleum Technology (May 2004) 69-70.
31. Silin, D. B., Jin, G., and Patzek, T.: "Robust Determination of the Pore-Space Morphology in Sedimentary Rocks. SPE 84296," 2003 SPE Annual Technical Conference and Exhibition, SPE, Denver, Colorado, U.S.A. (2003).
32. Silin, D. B. and Patzek, T. W.: "Pore space morphology analysis using maximal inscribed spheres," Physica A. Statistical Mechanics and its Applications (2006) 371, 336-360.
33. Silin, D. B. and Patzek, T. W.: "An Object-Oriented Cluster Search Algorithm," No. LBNL-51599, Lawrence Berkeley National Laboratory (2003).
34. He, X., Doolen, G. D., and Clark, T.: "Comparison of the Lattice Boltzmann Method and the Artificial Compressibility Method for Navier-Stokes Equations," Journal of Computational Physics (July 2002) 179, No. 2, 439-451.
35. Chorin, A. J.: "A numerical method for solving incompressible viscous flow problems," Journal of Computational Physics (1967) 2, 12-26.
36. Tomutsa, L., Silin, D., and Radmilovic, V.: "Analysis of Chalk Petrophysical Properties By Means of Submicron-Scale Pore Imaging and Modeling," SPE Reservoir Evaluation and Engineering (June 2007) 10, No. 3, 285-293.
37. Benson, S. M., Tomutsa, L., Silin, D., Kneafsey, T., and Miljkovic, L.: "Core scale and pore scale studies of carbon dioxide migration in saline formations." 8th International Conference on Greenhouse Gas Control Technologies. Trondheim, Norway, 19-22 June 2006. (2006).
38. Landau, L. D. and Lifschitz, E. M.: Fluid mechanics, Series in advanced physics Series, Addison-Wesley, Reading, MA (1959) 6.
39. Chorin, A. J.: "Numerical solution of the Navier-Stokes equations," Math. Comp. (1968) 22, 745-762.
40. Harlow, F. and Welsh, J.: "Numerical calculation of time dependent viscous incommpressible flow with free surface," Physics and Fluids (1965) 8,2182-2189.
41. Samarskii, A. A.: The theory of difference schemes, M. Decker, New York (2001).
42. Wyckoff, R. T. and Botset, H. G.: "The Flow of Gas-Liquid Mixtures through Unconsolidated Sands," (September 1936) 7, 325-345.
43. Muskat, M. and Meres, M. W.: "The Flow of Hetereogeneous Fluids Through Porous Media," (September 1936) 7, 346-363.
44. Leverett, M. C: "Flow of Oil-water Mixtures through Unconsolidated Sands," Trans. AIME (1939) 132,381-401.
45. Finney, J. L.: "Random packings and the structure of simple liquids. I. The geometry of random close packing," Proceedings of the Royal Society of London. Series A (1970) 319, No. 1539,479-493.
46. Bourblaux, B. J. and Kalaydjian, F. J.: "Experimental Study of Cocurrent and Countercurrent Flows in Natural Porous Media," SPE Reservoir Engineering (August 1990) 4,361-368.
47. Ransohoff, T. C. and Radke, C. J.: "Laminar flow of a wetting liquid along corners of a predominantly gas-occupied noncircular pore," Journal of Colloid and Interface Science (1998) 121,392-401.
48. Anderson, W. G.: "Wettability Literature Survey- Part 4: Effects of Wettability on Capillary Pressure," Journal of Petroleum Technology (October 1987) 39, No. 10, 1283-1300.