A Study of the Behavior of Implicit Pressure Explicit Saturation (IMPES) Schedules for Two-phase Flow in Dynamic Pore Network Models

Transport in Porous Media

Volumn 93, Issue 1, 2012, Pages 203-221

  Lux, Jérôme ^a   Anguy, Yannick ^b  

^a LEPTIAB   (France)

^b University Bordeaux I2M UMR CNRS 5295   (France)

Author keywords

Bubble trapping; Capillary rise; Convergence speed up; Free imbibition; Oscillatory behavior; Viscous forces

Indexed keywords

BUBBLE TRAPPING; CAPILLARY RISE; CONVERGENCE SPEED; FREE IMBIBITION; OSCILLATORY BEHAVIORS; VISCOUS FORCES;

CATALYSIS; POROUS MATERIALS;

TWO PHASE FLOW;

ALGORITHM; BUBBLE; CAPILLARY PRESSURE; POROUS MEDIUM; SATURATION; TWO PHASE FLOW;

EID: 84859108560     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-012-9952-9     Document Type: Article

References (36)

1. Aker E., Måløy K. J., Hansen A.: Simulating temporal evolution of pressure in two-phase flow in porous media. Phys. Rev. E 58(2), 2217-2226 (1998).
2. Al-Gharbi M. S., Blunt M. J.: Dynamic network modeling of two-phase drainage in porous media. Phys. Rev. E 71(1), 016308 (2005).
3. Al-Kharusi A. S., Blunt M. J.: Network extraction from sandstone and carbonate pore space images. J. Pet. Sci. Eng. 56, 219-231 (2007).
4. Alava M., Dubè M., Rost M.: Imbibition in disordered media. Adv. Phys. 53(2), 83-175 (2004).
5. Bernadiner M. G.: A capillary microstructure of the wetting front. Transp. Porous Media 30, 251-265 (1998).
6. Bico J., Quéré D.: Precursors of impregnation. Europhys. Lett. 61(3), 348-353 (2003).
7. Blunt M. J.: Flow in porous media-pore network models and multiphase flow. Curr. Opin. Colloid Interface Sci. 6, 197-207 (2001).
8. Blunt M. J., King M. J., Scher H.: Simulation and theory of two-phase flow in porous media. Phys. Rev. A 46(12), 7680-7699 (1992).
9. Dahle H. K., Celia M. A.: A dynamic network model for two-phase immiscible flow. Comput. Geosci. 3, 1-22 (1999).
10. Dong M., Chatzis I.: The imbibition and flow of a wetting liquid along the corners of a square capillary tube. J. Colloid Interface Sci. 172(2), 278-288 (1995).
11. Ferer M., Bromnhal G. S., Duane H. S.: Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits. Physica A 319, 11-35 (2003).
12. Gielen, T.: Dynamics effects in two-phase flow: a pore-scale network approach. Ph. D. thesis, Delft University of Technology (2007).
13. Gielen, T. W. J., Hassanizadeh, S. M., Nordhaug, H. F., Leijnse, A.: Dynamic effects in multiphase flow: a pore-scale network approach. In: Das, D. B., Hassanizadeh, S. M. (eds.) Upscaling Multiphase Flow in Porous Media: From Pore to Core and Beyond, pp. 217-236. Springer, Heidelberg (2005).
14. Joekar-Niasar V., Hassanizadeh S. M.: Effect of fluids properties on non-aquilibrium capillarity effects: dynamic pore-ntwork modeling. Int. J. Multiphase Flow 37(2), 198-214 (2011).
15. Joekar-Niasar V., Hassanizadeh S. M., Dahle H. K.: Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-ntwork modeling. J. Fluid Mech. 655, 38-71 (2010).
16. Koplik J., Lasseter T. J.: Two phase flow in random network models of porous media. Soc. Petrol. Eng. J. 25(1), 89-100 (1985).
17. Legait B., Jacquin C.: Conditions nécessaires au passage d'un col par une goutte en déplacement dans un capillaire de section carrée, en régime de Stokes. Comptes Rendus Académie des Sciences Série II 294, 487-492 (1982).
18. Lenormand, R.: Liquids in porous media. J. Phys. Condens. Matter 2, SA79-SA88 (1990).
19. Lenormand, R., Zarcone, C.: Role of roughness and edges during imbibition in square capillaries. Paper SPE 13264 presented at the society of petroleum engineers 59th annual technical conference and exhibition, Houston, TX, 16-19 1984 Sept, p. 17.
20. Lenormand R., Touboul E., Zarcone C.: Numerical models and experiments on immiscible displacements in porous media. J. Fluid Mech. 189, 165-187 (1988).
21. Leventis A., Verganelakis D., Webber J., Strange J.: Capillary imbibition and pore characterisation in cement paste. Transp. Porous Media 39, 143-157 (2000).
22. Mahmud M. W., Nguyen V. H.: Effects of snap-off in imbibition in porous media with different spatial correlations. Transp. Porous Media 64, 279-300 (2006).
23. Meleán Y., Broseta D., Blows R.: Imbibition fronts in porous media: effects of initial wetting fluid saturation and flow rate. J. Pet. Sci. Eng. 39, 327-336 (2003).
24. Mogensen K., Stenby E.: A dynamic two-phase pore-scale model of imbibition. Transp. porous media 32, 299-327 (1998).
25. Nordhaug H. F., Celia M., Dahle H. K.: A pore network model for calculation of interfacial velocities. Adv. Water Resour. 26, 1061-1074 (2003).
26. Øren P.-E., Bakke S.: Process based reconstruction of sandstones and prediction of transport properties. Transp. Porous Media 46, 311-343 (2002).
27. Payatakes A. C., Dias M. M.: Immiscible micro displacement and ganglion dynamics in porous media. Rev. Chem. Eng. 2, 85-174 (1984).
28. Prodanović M., Lindquist W., Seright R.: Porous structure and fluid partitioning in polyethylene cores from 3D X-ray microtomographic imaging. J. Colloid Interface Sci. 298, 282-297 (2006).
29. Reeves P. C., Celia M. A.: A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model. Water Resour. Res. 32(8), 2345-2358 (1996).
30. Schoelkopf J., Gane P. A. C., Ridgway C. J., Matthews G. P.: Practical observation of deviation from Lucas-Washburn scaling in porous media. Colloids Surf. A 206(1-3), 445-454 (2002).
31. Singh M., Mohanty K. K.: Dynamic modeling of drainage through three-dimensional porous media. Chem. Eng. Sci. 58, 1-18 (2003).
32. Sorbie K. S., Wu Y. Z., McDougall S. R.: The extended Washburn equation and its application to the oil/water pore doublet problem. J. Colloid Interface Sci. 174(2), 289-301 (1995).
33. Unsal E., Mason G., Ruth D. W., Morrow N. R.: Co- and counter-current spontaneous imbibition into groups of capillary tubes with lateral connections permitting cross-flow. J. Colloid Interface Sci. 315, 200-209 (2007).
34. Valavanides M., Payatakes A.: True-to-mechanism model of steady-state two-phase flow in porous media, using decomposition into prototype flows. Adv. Water Resour. 24, 385-407 (2001).
35. van der Marck S. C., Matsuura T., Glas J.: Viscous and capillary pressures during drainage: network simulations and experiments. Phys. Rev. E 56(5), 5675-5687 (1997).
36. Vizika O., Payatakes A. C.: Parametric experimental study of forced imbibition in porous media. Physicochem. Hydrodyn. 11(2), 187-204 (1989).