Linear Stability Analysis of Double-Diffusive Convection in Porous Media, with Application to Geological Storage of CO2

Transport in Porous Media

Volumn 84, Issue 2, 2010, Pages 441-456

  Javaheri, Mohammad ^a   Abedi, Jalal ^a   Hassanzadeh, Hassan ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

CO2 Sequestration; CO2 Storage; Double diffusion convection; Natural convection; Saline aquifers; Stability analysis

Indexed keywords

CO2 SEQUESTRATION; CO2 STORAGE; DOUBLE DIFFUSION; SALINE AQUIFERS; STABILITY ANALYSIS;

AMPLIFICATION; AQUIFERS; BUOYANCY; DIFFUSION; DISSOLUTION; HYDROGEOLOGY; NATURAL CONVECTION; POROUS MATERIALS;

LINEAR STABILITY ANALYSIS;

AQUIFER; CARBON DIOXIDE; CARBON SEQUESTRATION; COMPUTER SIMULATION; CONVECTION; DISSOLUTION; DOUBLE DIFFUSION; ISOTHERM; NUMERICAL MODEL; POROUS MEDIUM; SALINITY; STABILITY ANALYSIS; THEORETICAL STUDY;

EID: 77955848235     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9513-z     Document Type: Article

References (45)

1. Bachu S.: Basement heat flow in the Western Canada sedimentary basin. Tectonophysics 222(1), 119-133 (1993).
2. 2 in solution. Energy Convers. Manag. 44(20), 3151-3175 (2003).
3. 2S) injected in geological formations in western Canada. In: Proceedings of 7th International Conference on Greenhouse Gas Control Technologies, 5-9 September 2004, Vancouver, Canada, 449-457 (2005).
4. 2 injection in continental sedimentary basins. In: Proceedings of 7th International Conference on Greenhouse Gas Control Technologies, 5-9 September 2004, Vancouver, Canada (2005).
5. Blair L. M., Quinn J. A.: Measurement of small density differences, solubility of slightly soluble gases. Rev. Sci. Instrum. 39(1), 75-77 (1968).
6. Caltagirone J. P.: Stability of a saturated porous layer subject to a sudden rise in surface temperature: comparison between the linear and energy methods. Q. J. Mech. Appl. Maths 33, 47-58 (1980).
7. Chandrasekhar S.: Hydrodynamic and hydromagnatic stability. Clarendon Press, Oxford (1961).
8. Combarnous M. A., Bories S. A.: Hydrothermal convection in saturated porous media. Adv. Hydrosci. 10, 231-307 (1975).
9. Cooper C. A., Glass R. J., Tyler S. W.: Experimental investigation of the stability boundary for double-diffusive finger convection in a Hele-Shaw cell. Water Resour. Res. 33, 517-526 (1997).
10. Cooper C. A., Glass R. J., Tyler S. W.: Effect of buoyancy ratio on the development of double-diffusive finger convection in a Hele-Shaw cell. Water Resour. Res. 37(9), 2323-2332 (2001).
11. 2 solubility in water and brine under reservoir conditions. Chem. Eng. Commun. 90, 23-33 (1990).
12. Ennis-King J. P., Paterson L.: Role of convective mixing in the long-term storage of carbon dioxide in deep saline formations. SPE J. (Soc. Pet. Eng.) 10, 349-356 (2005).
13. Ennis-King, J. P., Preston, I., Paterson, L.: Onset of convection in anisotropic porous media subject to a rapid change in boundary conditions. Phys. Fluids 17(8), 084107-1-084107-15 (2005).
14. Flett M., Gurton R., Weir G.: Heterogeneous saline formations for carbon dioxide disposal: Impact of varying heterogeneity on containment and trapping. J. Petrol. Sci. Eng. 57(1-2), 106-118 (2007).
15. Foster T.: Onset of convection in a layer of fluid cooled from above. Phys. Fluids 8(10), 1770-1774 (1965a).
16. Foster T.: Stability of a homogenous fluid cooled from above. Phys. Fluids 8(7), 1249-1257 (1965b).
17. Foster T. D.: Effect of boundary conditions on the onset of convection. Phys. Fluids 11, 1257-1262 (1968).
18. Green T.: Scales of double-diffusive fingering in porous media. Water Resour. Res. 20, 1225-1229 (1984).
19. 2-sequestering reactions by geochemical modeling. Mineral. Petrol. 59(1-2), 121-140 (1997).
20. 2 storage. J. Can. Petrol. Technol. 44(10), 43-51 (2005).
21. Hassanzadeh H., Pooladi-Darvish M., Keith D. W.: Stability of a fluid in a horizontal saturated porous layer: effect of non-linear concentration profile, initial, and boundary conditions. Trans. Porous Media 65, 193-211 (2006).
22. 2 geological storage. AIChEJ 53(5), 1121-1131 (2007).
23. 2 geological storage. Int. J. Greenh. Gas Control 2, 65-77 (2008).
24. 3 at temperatures from 298. 15 K to 705 K and pressures to 35 MPa. J. Chem. Thermodyn. 28(2), 125-142 (1996).
25. Horton C. W., Rogers F. T.: Convection currents in porous media. J. Appl. Phys. 20, 367-369 (1945).
26. IPCC.: Carbon dioxide capture and storage, Special Report, Intergovernmental Panel on Climate Change (2005).
27. 2-sequestration in deep inclined saline aquifers. J. Can. Petrol. Technol. 48(8), 1-6 (2009).
28. Jhavery B. S., Homsy G. M.: The onset of convection in fluid layers heated rapidly in a time-dependent manner. J. Fluid Mech. 114, 251-260 (1982).
29. Kaviany M.: Onset of thermal convection in a saturated porous medium: experiment and analysis. Int. J. Heat Mass Transfer 27, 2101-2110 (1984).
30. Kim M. C., Kim S.: Onset of convective stability in a fluid-saturated porous layer subjected to time dependent heating. Int. J. Heat Mass Transfer 32(3-4), 416-424 (2005).
31. 2 storage in deep saline aquifers. SPEJ 10(3), 336-348 (2005).
32. Lapwood E. R.: Convection of a fluid in a porous medium. Proc. Cambridge Phil. Soc. 44, 508-521 (1948).
33. 2. Energy Convers. Manag. 38, S229-S234 (1997).
34. Nield D. A.: Onset of thermohaline convection in a porous medium. Water Resour. Res. 4(3), 553-560 (1968).
35. Nield D. A., Bejan A.: Convection in porous media, 2nd edn. Springer-Verlag, New York (1992).
36. Otero L., Molina-Garcia A. D., Sanz P. D.: Some interrelated thermophysical properties of liquid water and ice. 1. A user-friendly modeling review for high-pressure processing. Crit. Rev. Food Sci. Nutr. 42, 339-352 (2002).
37. Ozisik M. N.: Heat conduction, 2nd edn. Wiley, New York (1993).
38. Riaz A., Hesse M., Tchelepi H. A., Orr J.: Onset of convection in a gravitationally unstable diffusive boundary layer in porous media. J. Fluid Mech. 548, 87-111 (2006).
39. Saidi A. M.: Reservoir engineering of fractured reservoirs. TOTAL Edition Press, Paris (1987).
40. 2-brine mixtures. Can. J. Chem. Eng. 65, 314-320 (1987).
41. 2 solution by Mach-Zehnder interferometry. Ann. N Y Acad. Sci. 972, 206-212 (2002).
42. Stern M. E.: Ocean circulation physics. Academic Press, New York (1975).
43. Ter Minassian L., Pruzan P., Soulard A.: Thermodynamic properties of water under pressure up to 5 kbar and between 28 and 120°C, Estimations in the supercooled region down to -40°C. J. Chem. Phys. 75, 3064-3072 (1981).
44. Vafai K.: Handbook of porous media, 2nd edn. CRC Press, Boca Raton, FL (2005).
45. Xu X., Chen S., Zhang D.: Convective stability analysis of the long-term storage of carbon dioxide in deep saline aquifers. Adv. Water Res. 29, 397-408 (2006).