Numerical Simulation of Natural Convection in Heterogeneous Porous media for CO 2 Geological Storage

Transport in Porous Media

Volumn 95, Issue 1, 2012, Pages 25-54

  Ranganathan, Panneerselvam ^a   Farajzadeh, Rouhollah ^a   Bruining, Hans ^a   Zitha, Pacelli L J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

CO 2; Density driven natural convection; Heterogeneity; Mass transfer; Porous media; Solubility

Indexed keywords

CONCENTRATION PROFILES; CONVECTIVE MIXING; CONVECTIVE MOTIONS; CORRELATION LENGTHS; GEOLOGICAL STORAGE; HETEROGENEITY; HETEROGENEOUS FORMATION; HETEROGENEOUS POROUS MEDIA; LOG-NORMAL; MIXING LENGTH; NUMERICAL SIMULATION STUDIES; PERMEABILITY FIELDS; SEQUENTIAL GAUSSIAN SIMULATION; SPATIAL VARIATIONS; STANDARD DEVIATION; WATER DENSITY;

AQUIFERS; ATMOSPHERIC COMPOSITION; COMPUTER SIMULATION; MASS TRANSFER; NATURAL CONVECTION; OIL FIELDS; POROUS MATERIALS; SOLUBILITY;

CARBON DIOXIDE;

AQUIFER; CARBON DIOXIDE; CONCENTRATION (COMPOSITION); CONVECTION; DIMENSIONLESS NUMBER; FLOW PATTERN; GAUSSIAN METHOD; HETEROGENEOUS MEDIUM; MASS TRANSFER; NUMERICAL MODEL; PERMEABILITY; POROUS MEDIUM; SOLUBILITY; SPATIAL VARIATION;

EID: 84865467052     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-012-0031-z     Document Type: Article

References (43)

1. Barlebo H. C., Hill M. C., Rosbjer D.: Investigating the macrodispersion experiment (MADE) site in Columbus, Mississippi, using a three-dimensional inverse flow and transport model. Water Resour. Res. 40, W04211 (2004).
2. Bear J.: Dynamics of Fluids in Porous Media. Dover Publications, New York (1972).
3. 2. SPE J. 13, 447-454 (2008).
4. Deutsch C. V., Journel A. G.: GSLIB Geostatistical Software Library and Users Guide. Oxford University Press, New York (1992).
5. Elder J. W.: Transient convection in a porous medium. J. Fluid Mech. 27, 609-623 (1967).
6. Ennis-King J., Paterson L.: Role of convective mixing in the long-term storage of carbon dioxide in deep saline formations. SPE 84344, 1-12 (2005).
7. Ennis-King J., Paterson L.: Rate of dissolution due to convective mixing in the underground storage of carbon dioxide. In: Gale, J., Kaya, Y. (eds.) Greenhouse Gas Control Technologies, vol. 1, pp. 507-510. Elsevier, Amsterdam (2003).
8. 2 injection projects. Int. J. Heat Mass Transf. 50, 5054-5064 (2007).
9. Farajzadeh, R., Farshbaf Zinati, F., Zitha, P. L. J., Bruining, J.: Density driven natural convection in layered and anisotropic porous media. In: Proceeding of the 11th European Conference on Mathematics in Oil Recovery (ECMOR X1), Norway (2008).
10. 2 overlying a brine layer. Adv. Water Resour. 34, 327-339 (2011).
11. 2 sequestration. AIChE J. 56, 1398-1405 (2010).
12. Gebhart B., Jaluria Y., Mahajan R. L., Sammakia B.: Buoyancy-Induced Flows and Transport. Hemisphere, Harper and Row, New York (1988).
13. Ghesmat K., Azaiez J.: Viscous fingering instability in porous media: Effect of anisotropic velocity-dependent dispersion tensor. Transp. Porous Med. 73, 297-318 (2008).
14. 2 in saline formations. Transp. Porous Med. 82, 31-47 (2010).
15. Guceri S., Farouk B.: Numerical solutions in laminar and turbulent natural convection. In: Kakac, S., Aung, W., Viskanta, R. (eds.) Natural Convection, Fundamentals and Applications, pp. 615-655. Hemisphere, Bristol, PA (1985).
16. 2 migration in saline formations. Water Resour. Res. 46, 1-20 (2010).
17. 2 storage. AIChE J. 55, 1121-1131 (2007).
18. 2 sequestration. J. Fluid Mech. 640, 441-452 (2009).
19. Kneafsey T. J., Pruess K.: Laboratory flow experiments for visualizing carbon dioxide-induced, density-driven brine convection. Transp. Porous Med. 82, 123-139 (2010).
20. LeBlanc D. R., Garabedian S. P., Hess K. M., Gelhar L. W., Quadri R. D., Stollenwerk K. G., Wood W. W.: Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts. 1. Experimental design and observed tracer movement. Water Resour. Res. 27, 895-910 (1991).
21. Li Z., Dong M., Shirif E.: Transient natural convection induced by gas diffusion in liquid-saturated vertical porous columns. Ind. Eng. Chem. Res. 45, 3311-3319 (2006).
22. 2 injected into an aquifer. In: Gale, J., Kaya, Y. (eds.) Greenhouse Gas Control Technologies, vol. 1, pp. 489-494. Elsevier, Amsterdam (2003).
23. Malkovsky V. I., Pek A. A.: Onset conditions of free thermal convection of a single-phase fluid in a horizontal porous layer with depth-dependent permeability. Izvestiya Phys. Solid Earth 35, 990-994 (1999).
24. McKibbin R., O'Sullivan M. J.: Onset of convection in a layered porous medium heated from below. J. Fluid Mech. 96, 375-393 (1980).
25. Nield D. A., Bejan A.: Convection in Porous Media. Springer, New York (1999).
26. Nield D. A., Simmons C. T.: A discussion on the effect of heterogeneity on the onset of convection in a porous medium. Transp. Porous Med. 68, 413-421 (2007).
27. Nield D. A., Kuznetsov A. V., Simmons C. T.: The effect of strong heterogeneity on the onset of convection in a porous medium: 2D/3D Localization and spatially correlated random permeability fields. Transp. Porous Med. 83, 465-477 (2010).
28. 2 storage in saline aquifers. Adv. Water Resour. 33, 443-455 (2010).
29. Prasad A., Simmons C. T.: Unstable density-driven flow in heterogeneous porous media: a stochastic study of the Elder [1967b] "short heater" problem. Water Resour. Res. 39, 1-21 (2003).
30. 2 storage in saline aquifers. Lawrence Berkeley Laboratory Report LBNL-1243E, Berkeley, CA (2008).
31. Rapaka S., Chen S., Pawar R. J., Stauffer P. H., Zhang D.: Nonmodal growth of perturbations in density-driven convection in porous media. J. Fluid Mech. 609, 285-303 (2008).
32. Rapaka S., Chen S., Pawar R. J., Stauffer P. H., Zhang D., Chen S.: Onset of convection over a transient base-state in anisotropic and layered porous media. J. Fluid Mech. 641, 227-244 (2009).
33. Riaz A., Hesse A., Tchelepi M., Orr F. M.: Onset of convection in a gravitationally unstable diffusive boundary layer in porous medium. J. Fluid Mech. 548, 87-111 (2006).
34. Rogerson A., Meiburg E.: Numerical simulation of miscible displacement processes in porous media flows under gravity. Phys. Fluids A 5, 2644-2660 (1993).
35. Schincariol R. A., Schwartz F. W., Mendoza C. A.: Instabilities in variable density flows: stability and sensitivity analyses for homogeneous and heterogeneous media. Water Resour. Res. 33, 31-41 (1997).
36. Shinozuka M., Jan C. M.: Digital simulation of random processes and its applications. J. Sound Vib. 25, 357-368 (1972).
37. Simmons C. T., Narayan K. A., Wooding R. A.: On a test case for density-dependent groundwater flow and solute transport models: the salt lake problem. Water Resour. Res. 35, 3607-3620 (1999).
38. Simmons C. T., Fenstemaker T. R., Sharp J. M.: Variable-density groundwater flow and solute transport in heterogeneous porous media: approaches, resolutions and future challenges. J. Contam. Hydrol. 52, 245-275 (2001).
39. Sorbie K. S., Farag F., Pickup K. S., Ringrose P. S., Jensen J. L.: Flow regimes in miscible displacements in heterogeneous correlated random fields. SPE Adv. Technol. Ser. 2, 78-87 (1994).
40. Waggoner J. R., Castillo J. L., Lake L. W.: Simulation of EOR processes in stochastically generated permeable media. Soc. Pet. Eng. Form. Eval. 7, 173-180 (1992).
41. Welty C., Gelhar L. W.: Stochastic analysis of the effects of fluid density and viscosity variability on macrodispersion in heterogeneous porous media. Water Resour. Res. 27, 2061-2075 (1991).
42. Welty C., Gelhar L. W.: Simulation of large-scale transport of variable density and viscosity fluids using a stochastic mean model. Water Resour. Res. 28, 815-827 (1992).
43. Zimmerman W. B., Homsy G. M.: Viscous fingering in miscible displacement: unification of effects of viscosity contrast, anisotropic dispersion, and velocity dependence of dispersion on nonlinear finger propagation. Phys. Fluids A 4, 348-2359 (1992).