The effect of heterogeneity on the character of density-driven natural convection of CO2 overlying a brine layer

Advances in Water Resources

Volumn 34, Issue 3, 2011, Pages 327-339

  Farajzadeh , R ^a   Ranganathan, P ^b   Zitha, P L J ^b   Bruining, J ^b  

^a SHELL GLOBAL SOLUTIONS INTERNATIONAL B V   (United States)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

CO2; Density driven natural convection; Heterogeneity; Mass transfer; Porous media

Indexed keywords

A-DENSITY; CO2; CONVECTION PHENOMENA; CORRELATION LENGTHS; DENSITY-DRIVEN NATURAL CONVECTION; FLOW REGIMES; HETEROGENEITY; HETEROGENEOUS MEDIA; MIXING PROCESS; NATURAL CONVECTION FLOW; NUMERICAL SIMULATION; PERMEABILITY HETEROGENEITY; POROUS MEDIA; POWER-LAW; SPECTRAL METHODS; TRANSFER RATES; VARIOGRAMS;

AQUIFERS; MASS TRANSFER; POROUS MATERIALS; SPECTROSCOPY;

NATURAL CONVECTION;

AQUIFER; BRINE; CARBON DIOXIDE; COMPUTER SIMULATION; CONVECTION; DENSITY; HETEROGENEITY; MASS TRANSFER; NUMERICAL MODEL; PERMEABILITY; POROUS MEDIUM; POWER LAW DISTRIBUTION;

EID: 79451470397     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2010.12.012     Document Type: Article

References (50)

1. Gmelin L, Gmelin Handbuch der anorganischen Chemie, 8. Auflage. Kohlenstoff, Teil C3, Verbindungen; 1973. p. 64-75.
2. 2 in reservoir brine due to density-driven natural convection at high pressures and elevated temperatures. Ind Eng Chem Res 2006, 45:2430-2436.
3. 2 into water and surfactant solutions. Petrol Sci Technol 2007, 25:1493.
4. 2 into water: experiment and modeling. Ind Eng Chem Res 2009, 48(9):4542-4552.
5. Riaz A., Hesse M., Tchelepi A., Orr F.M. Onset of convection in a gravitationally unstable diffusive boundary layer in porous medium. J Fluid Mech 2006, 548:87-111.
6. Meulenbroek B, Farajzadeh R, Bruining J. Multiple scale analysis of the stability of a diffusive interface between aqueous and gaseous CO2. J Fluid Mech submitted for publication.
7. Hassanzadeh H., Pooladi-Darvish M., Keith D. Scaling behavior of convective mixing, with application to CO2 geological storage. AIChE J 2007, 53(5):1121-1131.
8. 2 injection projects. Int J Heat Mass Transf 2007, 50:5054.
9. Green C., Ennis-Kinga J., Pruessc K. Effect of vertical heterogeneity on long-term migration of CO2 in saline formation. Energy Proc 2009, 1(1):1823-1830.
10. Nield D.A., Simmons C.T. A discussion on the effect of heterogeneity on the onset of convection in a porous medium. Transp Porous Media 2007, 68:413-421.
11. Ranganathan P, Bruining J, Zitha PLJ. Numerical simulation of natural convection in heterogeneous porous media for CO2 geological storage. Transp Porous Media, in press.
12. Farajzadeh R, Farshbaf Zinati F, Zitha PLJ, Bruining J. Density driven natural convection in layered and anisotropic porous media. In: Proceedings of the 11th European conference on mathematics in oil recovery (ECMOR X1), Bergen, Norway, 8-11 September 2008.
13. Waggoner J.R., Castillo J.L., Lake L.W. Simulation of EOR processes in stochastically generated permeable media. SPE Form Eval 1992, 7(2):173-180.
14. Sorbie K.S., Farag Feghi, Pickup K.S., Ringrose P.S., Jensen J.L. Flow regimes in miscible displacements in heterogeneous correlated random fields. SPE Adv Technol Ser 1994, 2(2):78-87.
15. 2 flow patterns under multiphase flow: heterogeneous field-scale conditions. SPE Reservoir Eng 1993, 9(3):208-216.
16. Guçeri S., Farouk B. Numerical solutions in laminar and turbulent natural convection. Natural convection, fundamentals and applications 1985, 615-655. Hemisphere Publication. S. Kakac, W. Aung, R. Viskanta (Eds.).
17. Landau L.D., Lifshitz E.M. Statistical physics: course of theoretical physics 1969, vol. 5. Pergamon Press. second revised English ed.
18. Gunn R.D., Krantz W.B. Reverse combustion instabilities in tar sands and coal. SPE 1980, 6735-PA.
19. Yortsos Y.C., Xu B., Salin D. Phase diagram of fully developed drainage in porous media. Phys Rev Lett 1997, 79(23).
20. Parlar M., Yortsos Y.C. Percolation theory of steam/water relative permeability. SPE 1987, 16969.
21. Gelhar LW. Stochastic subsurface hydrology. Prentice Hall Professional Technical Reference; 1993.
22. Jensen J.L., Lake L.W., Corbett P., Goggin D. Statistics for petroleum engineers and geoscientists. Handbook of petroleum exploration and production 2 (HPEP) 2000, Elsevier. second edition.
23. Koval E.J. A method for predicting the performance of unstable miscible displacement in heterogeneous media. SPE J 1963, 3(2):145-154.
24. Gelhar L.W., Axness C.L. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour Res 1983, 19(1):161-180.
25. Lasseter T.J., Waggoner J.R., Lake L.W. Reservoir heterogeneity and its influence on ultimate recovery. Reservoir characterization 1986, Academic Press, Orlando, Florida, 659 p. L.W. Lake, H.B. Carroll (Eds.).
26. King MJ, Blunt MJ, Manseld M, Christie MA. Rapid evaluation of the impact of heterogeneity on miscible gas injection. In: Proceedings of the 7th European Symposium on IOR, (Moscow, Russia), vol. 2; 1993. p. 398-407.
27. Journel A.G., Huijbregts C.J. Mining geostatistics 1978, Academic Press, London, 600 p.
28. Deutsch C.V., Journel A.G. GSLIB; geostatistical software library and user's guide 1992, Oxford University Press, New York, 340 p.
29. Bruining J. Modeling reservoir heterogeneity with fractals: Enhanced Oil and Gas, Recovery Research Program, Rep. No. 92-5, Center for Petroleum and Geosystems Engineering, University of Texas, Austin; 1992. 88 p.
30. Bruining J., van Batenburg D.W., Lake L.W., Yang A.P. Flexible spectral methods for the generation of random fields with power-law semivariograms. Math Geol 1997, 29:823-848. ISSN: 0882-8182.
31. Jensen J.L., Lake L.W. The influence of sample size and permeability distribution on heterogeneity measures. SPE Reservoir Eng 1988, 3(2):629-637.
32. Rice SO. Mathematical analysis of random noise. In: Wax N, editor. Selected papers on noise and stochastic processes. NewYork: Dover Publ. p. 133-294.
33. Shinozuka M., Jan C.M. Digital simulation of random processes and its applications. J Sound Vibration 1972, 25(1):357-368.
34. Borges M.R., Pereira F., Amaral Souto H.P. Efficient generation of multi-scale random fields: a hierarchical approach. Commun Numer Methods Eng 2009, doi:10.1002/cnm.1134.
35. Ebrahimi F., Sahimi M. Grid coarsening, simulation of transport processes in, and scale-up of heterogeneous media: application of multiresolution wavelet transformations. Mech Mater 2006, 38:772-785.
36. Elfeki A.M.M., Dekking F.M., Kraaikamp C., Bruining J. Influence of fine-scale heterogeneity patterns on large-scale behaviour of miscible transport in porous media. Petr Geosci 2002, 8(2):159-165.
37. Dekking F.M., Kraaikamp C., Elfeki A.M., Bruining J. Multiscale and multiresolution stochastic modelling of subsurface heterogeneity by tree-indexed Markov chains. Comput Geosci 2001, 5(1):47-60.
38. Bárdossy A. Copula-based geostatistical models for groundwater quality parameters. Water Resour Res 2006, 42(11):W11416.
39. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical Recipes in C. The art of scientific computing 1992, Cambridge University Press. second ed.
40. Monnig Nathan D., Benson David A., Meerschaert Mark M. Ensemble solute transport in two-dimensional operator-scaling random fields. Water Resour Res 2008, 44:W02434. 10.1029/2007WR005998.
41. Vanmarcke E. Random field analysis and synthesis 1983, M.I.T.Press, Cambridge, Massachusetts, 382 p.
42. Xu X., Chen Sh., Zhang D. Convective stability analysis of the long-term storage of carbon dioxide in deep saline aquifers. Adv Water Res 2006, 29:397-407.
43. Ennis-King J., Paterson L. Role of convective mixing in the long-term storage of carbon dioxide in deep saline aquifers. SPE J 2005, 10(3):349.
44. Farajzadeh R, Delil HA, Zitha PLJ, Bruining J. Enhanced mass transfer of CO2 into water and oil by natural convection In: SPE 107380. EUROPEC London, The UK; 2007.
45. 2 at (30 to 60)C and (10 to 20)MPa. J Chem Eng Data 2004, 49:1328-1332.
46. Haugen K.B., Firoozabadi A. Composition a the interface between multi-component nonequilibrium fluid phases. J Chem Phys 2009, 130:064707.
47. Dake L.P. Fundamentals of reservoir engineering. Developments in petroleum science 1978, vol. 8. Elsevier.
48. Li D., Lake L.W. Scaling fluid flow through heterogeneous permeable media. SPE Adv Technol 1995, 3(1):188-197.
49. Bear J. Dynamics of fluids in porous materials 1972, American Elsevier.
50. Gómez-Hernández J.J., Wen X.H. To be or not to be multi-Gaussian? A reflection on stochastic hydrogeology. Adv Water Resour 1998, 21(1):47-61.