Numerical prediction of relative permeability from MicroCT images: Comparison of steady-state versus displacement methods

Proceedings - SPE Annual Technical Conference and Exhibition

Volumn 6, Issue , 2011, Pages 4432-4447

  Sheng, Q ^a   Thompson, K E ^a   Fredrich, J T ^b   Salino, P A ^b  

^a LOUISIANA STATE UNIVERSITY   (United States)

^b BP ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTERIZED TOMOGRAPHY; CORE ANALYSIS; FORECASTING; HYSTERESIS; MECHANICAL PERMEABILITY;

COMPUTATIONAL PERFORMANCE; COMPUTATIONALLY EFFICIENT; COMPUTED TOMOGRAPHIC; NUMERICAL PREDICTIONS; PERIODIC SIMULATION; PORE-NETWORK MODELING; RELATIVE PERMEABILITY; STEADY-STATE SIMULATIONS;

NUMERICAL METHODS;

EID: 84856702613     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/147431-ms     Document Type: Conference Paper

References (45)

1. Al-Gharbi, M. S. 2004. Dynamic Pore-Scale Modelling of Two-Phase Flow. PhD dissertation, Imperial College., London, UK.
2. Al-Kharusi, A. S. and Blunt, M. J. 2008. Multiphase flow predictions from carbonate pore space images using extracted network models. Water Resources Research 44, W06S01, doi: 10.1029/2006WR005695
3. Arns, J. Y., Arns, C. H., Sheppard, A. P., Sok, R. M., Knackstedt, M. A., and Pinczewski, W. V. (2003). Relative permeability from tomographic images; effect of correlated heterogeneity. Journal of Petroleum Science and Engineering 39(3-4): 247-259. (Pubitemid 36914830)
4. Bakke, S. and Øren, P. E. 1997. 3-D Pore-Scale Modelling of Sandstones and Flow Simulations in the Pore Networks. SPE J 2(2): 136-149. SPE-35479-PA. doi: 10.2118/35479-PA
5. Bhattad, P., Willson, C.S., and Thompson, K.E. 2011. Effect of network structure on characterization and flow modeling using x-ray microtomography images of granular and fibrous porous media. Transport in Porous Media doi: 10.1007/s11242-011-9789-7
6. Blunt, M. J. and King, M. J. 1992. Simulation and theory of two-phase flow in porous media. Physical Review A 46(12): 7680-7399.
7. Blunt, M. J. 1997. Effects of Heterogeneity and Wetting on Relative Permeability Using Pore Level Modeling. SPE J 2(1): 70-87. SPE-36762-PA. doi: 10.2118/36762-PA
8. Blunt, M. J., Jackson, M. D., Mohammad, P., and Valvatne, P. H. 2002. Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. Advances in Water Resources 25(8-12): 1069-1089.
9. Boek, E. 2010. Pore Scale Simulation of Flow in Porous Media Using Lattice-Boltzmann Computer Simulations. Paper SPE 135506 presented at SPE Annual Technical Conference and Exhibition. Florence, Italy, 19-22 September, doi: 10.2118/135506-MS.
10. Bryant, S. and Blunt, M. J. 1992. Prediction of relative permeability in simple porous media. Physical Review A 46(4): 2004-2011.
11. Constantinides, G. N. and Payatakes, A. C. 1996. Network simulation of steady-state two-phase flow in consolidated porous media. AIChE Journal 42(2): 369-382. (Pubitemid 126672605)
12. Dillard, L. A. and Blunt, M. J. 2000. Development of a pore network simulation model to study nonaqueous phase liquid dissolution. Water Resources Research 36(2): 439-454. (Pubitemid 30065541)
13. Fenwick, D. H. and Blunt, M. J. 1998. Three-dimensional modeling of three phase imbibition and drainage. Advances in Water Resources 21(2): 121-143. (Pubitemid 128402789)
14. Fischer, U. and Celia, M. A. 1999. Prediction of relative and absolute permeabilities for gas and water from soil water retention curves using a pore-scale network model. Water Resources Research 35(4): 1089-1100.
15. Goode, P. A. and Ramakrishnan, T. S. 1993. Momentum transfer across fluid-fluid interfaces in porous media: A network model. AIChE Journal 39(7): 1124-1134. (Pubitemid 271908)
16. Hughes, R. G. and Blunt, M. J. 2000. Pore Scale Modeling of Rate Effects in Imbibition. Transport in Porous Media 40(3): 295-322. (Pubitemid 30638793)
17. Jackson, M. D., Valvatne, P. H., and Blunt, M. J. 2005. Prediction of Wettability Variation Within an Oil/Water Transition Zone and Its Impact on Production. SPE J 10(2): 184-195. SPE-77543-PA. doi: 10.2118/77543-PA
18. Jerauld, G. R. and Salter, S. J. 1990. The effect of pore-structure on hysteresis in relative permeability and capillary pressure: Pore-level modeling. Transport in Porous Media 5(2): 103-151. (Pubitemid 20686751)
19. Jia, L., Ross, C. M., and Kovscek, A. R. 2005. A Pore Network Modeling Approach to Predict Petrophysical Properties of Diatomaceous Reservoir Rock. Paper SPE 93806 presented at SPE Western Regional Meeting. Irvine, California, USA, 30 March-1 April, doi: 10.2118/93806-MS.
20. Joekar-Niasar, V., Hassanizadeh, S., and Leijnse, A. 2008. Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling. Transport in Porous Media 74(2): 201-219.
21. Joekar-Niasar, V., Hassanizadeh, S., and Dahle, H. K. 2010. Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling. Journal of Fluid Mechanics 655: 38-71. doi: 10.1017/S0022112010000704
22. Jones, S. C. and Roszelle, W.O. 1978. Graphical Techniques for Determining Relative Permeability From Displacement Experiments. Journal of Petroleum Technology 30(5): 807-817. SPE-6045-PA. doi: 10.2118/6045-PA
23. Knudsen, H. A., Aker, E. and Hansen, A. 2002. Bulk Flow Regimes and Fractional Flow in 2D Porous Media by Numerical Simulations. Transport in Porous Media 47(1) : 99-121. (Pubitemid 34536449)
24. Knudsen, H. A. and Hansen, A. 2002. Relation between pressure and fractional flow in two-phase flow in porous media. Physical Review E 65(5): 056310. doi: 10.1103/PhysRevE.65.056310
25. Laroche, C. and Vizika, O. 2005. Two-Phase Flow Properties Prediction from Small-Scale Data Using Pore-Network Modeling. Transport in Porous Media 61(1): 77-91. (Pubitemid 40829231)
26. Li, H., Pan, C., and Miller, C. T. 2005. Pore-scale investigation of viscous coupling effects for two-phase flow in porous media. Physical Review E 72(2): 026705. doi: 10.1103/PhysRevE.72.026705
27. Lindquist, W. B. and and Venkatarangan A. 1999. Investigating 3D Geometry of Porous Media from High Resolution Images. Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy 24(7): 593-599 (Pubitemid 30024545)
28. Mahmud, W. M., Arns, J. Y., Sheppard, A. P., Knackstedt, M. A., and Pinczewski, W. V. 2007. Effect of network topology on two-phase imbibition relative permeability. Transport in Porous Media 66(3): 481-493.
29. Nguyen, V. H., Sheppard, A. P., Knackstedt, M. A., and Pinczewski, W. V. 2006. The effect of displacement rate on imbibition relative permeability and residual saturation. Journal of Petroleum Science and Engineering 52(1-4): 54-70. (Pubitemid 43843037)
30. O'Carroll, C. and Sorbie, K. S. 1993. Generalization of the Poiseuille law for one- and two-phase flow in a random capillary network. Physical Review E 47(5): 3467-3476.
31. Øren, P. E., Bakke, S., and Arntzen, O.J. 1997. Extending Predictive Capabilities to Network Models. Paper SPE 38880 presented at SPE Annual Technical Conference and Exhibition. San Antonio, Texas, USA, 5-8 October, doi: 10.2118/38880-MS.
32. Patzek, T. W. 2000. Verification of a Complete Pore Network Simulator of Drainage and Imbibition. Paper SPE 59312 presented at the 2000 SPE/DOE Improved Oil Recovery Symposium held in Tulsa, Oklahoma, USA, 3-5 April, doi: 10.2118/59312-MS.
33. Patzek, T.W. and Silin, D.B. 2001. Shape factor and hydraulic conductance in noncircular capillaries I. One-phase creeping flow. Journal of Colloid and Interface Science 236(2): p. 295-304. (Pubitemid 32547665)
34. Ramstad, T., Øren, P. E., and Bakke, S. 2010. Simulation of Two-Phase Flow in Reservoir Rocks Using a Lattice Boltzmann Method. SPE Journal 15(4): 917-927. SPE-124617-PA. doi: 10.2118/124617-PA
35. Ramstad, T., Hansen, A., and Øren, P. E. 2009. Flux-dependent percolation transition in immiscible two-phase flows in porous media. Physical Review E 79(3): 036310. doi: 10.1103/PhysRevE.79.036310
36. Rassenfoss, S. 2011. Digital Rocks Out to Become a Core Technology, Journal of Petroleum Technology, 61(5), 2011: 36-41.
37. Sheng Q. and Thompson, K. E. 2011. A dynamic two-phase network algorithm for steady-state flow (in review).
38. Silin, D. and Patzek, T. W. (2009). Predicting Relative-Permeability Curves Directly From Rock Images. Paper SPE 124974 presented at SPE Annual Technical Conference and Exhibition. New Orleans, Louisiana, USA, 4-7 October, doi: 10.2118/124974-MS.
39. Singh, M. and Mohanty, K. K. 2003. Dynamic modeling of drainage through three-dimensional porous materials. Chemical Engineering Science 58(1): 1-18. (Pubitemid 36036275)
40. Thompson, K. E. and Fogler, H.S. 1997. Modeling Flow in Disordered Packed Beds from Pore-Scale Fluid Mechanics. AIChE Journal 43(6); 1377-1389
41. Thompson, K. E. 2002. Pore-scale modeling of fluid transport in disordered fibrous materials. AIChE Journal 48(7): 1369-1389. (Pubitemid 36173020)
42. Thompson, K.E., Willson, C.W., Whilte, C.D., Nyman, S., Bhattacharya, J., and Reed, A.H., 2008., Application of a new grain-based reconstruction algorithm to microtomography images for quantitative characterization and flow modeling," SPE J 13(2): 164-176. SPE-95887-PA. doi: 10.2118/95887-PA
43. Tsakiroglou, C. D. 2010. A MULTI-SCALE APPROACH TO MODEL TWO-PHASE FLOW IN HETEROGENEOUS POROUS MEDIA, presented at XVIII International Conference on Water Resources. Barcelona, Spain, 21-24 June.
44. Valavanides, M. S., Constantinides, G. N., and Payatakes, A. C. 1998. Mechanistic Model of Steady-State Two-Phase Flow in Porous Media Based on Ganglion Dynamics. Transport in Porous Media 30(3): 267-299.
45. Valvatne P. H. and Blunt, M. J. 2003. Predictive Pore-Scale Network Modeling. Paper SPE 84550 presented at SPE Annual Technical Conference and Exhibition. Denver, Colorado, USA, 5-8 October, doi: 10.2118/84550-MS.