Leakage from gravity currents in a porous medium. Part 1. A localized sink

Journal of Fluid Mechanics

Volumn 666, Issue , 2011, Pages 391-413

  Neufeld, Jerome A ^a   Vella, Dominic ^a   Huppert, Herbert E ^a   Lister, John R ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

gravity currents; porous media

Indexed keywords

BUOYANCY; CARBON DIOXIDE; EFFICIENCY; GEOLOGY; GRAVITATION; GRAVITY WAVES; HYDROSTATIC PRESSURE;

BUOYANCY DRIVEN FLOWS; GEOLOGICAL SEQUESTRATION; GRAVITY CURRENTS; IMPERMEABLE BARRIERS; LONG-TERM STORAGE; NUMERICAL SOLUTION; QUASI-STEADY STATE; THEORETICAL MODELING;

POROUS MATERIALS;

BUOYANCY; CAP ROCK; CARBON DIOXIDE; CARBON SEQUESTRATION; CARBON SINK; FLUID FLOW; HYDROSTATIC PRESSURE; LEAKAGE; NUMERICAL MODEL; POROUS MEDIUM; THEORETICAL STUDY;

EID: 79951615513     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211201000488X     Document Type: Article

References (32)

1. Acton, J. M., Huppert, H. E. & Worster, M. G. 2001 Two-dimensional viscous gravity currents flowing over a deep porous medium. J. Fluid Mech. 440, 359-380. (Pubitemid 32739698)
2. Anderson, D. M., McLaughlin, R. M. & Miller, C. T. 2003 The averaging of gravity currents in porous media. Phys. Fluids 15 (10), 2810-2829. (Pubitemid 37358678)
3. Avci, C. B. 1994 Evaluation of flow leakage through abandoned wells and boreholes. Wat. Resour. Res. 30 (9), 2565-2578.
4. Barenblatt, G. I. 1996 Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press.
5. Bear, J. 1972 Dynamics ofFluids in Porous Media. Dover.
6. Bickle, M., Chadwick, A., Huppert, H. E., Hallworth, M. & Lyle, S. 2007 Modelling carbon dioxide accumulation at Sleipner: implications for underground carbon storage. Earth Planet. Sci. Lett. 255, 164-176.
7. Bleaney, B. I. & Bleaney, B. 1976 Electricity and Magnetism, 3rd edn., vol. 1. Oxford University Press.
8. Bolster, D., Dentz, M. & Carrera, J. 2009 Effective two-phase flow in heterogeneous media under temporal pressure fluctuations. Water Resour. Res. 45, W05408, doi:10.1029/2008WR007460, 1-14.
9. Chen, L. Y., Goldenfeld, N. & Oono, Y. 1991 Renormalization-group theory for the modified porous-medium equation. J. Fluid Mech. 44, 6544-6550.
10. Farcas, A. & Woods, A. W. 2009 The effect of drainage on the capillary retention of CO2 in a layered permeable rock. J. Fluid Mech. 618, 349-359.
11. Hesse, M. A., Tchelepi, H. A., Cantwell, B. J. & Orr, F. M. Jr. 2007 Gravity currents in horizontal porous layers: transition from early to late self-similarity. J. Fluid Mech. 577, 363-383. (Pubitemid 47307592)
12. Huppert, H. E. 2006 Gravity currents: a personal perspective. J. Fluid Mech. 554, 299-322.
13. Huppert, H. E. & Woods, A. W. 1995 Gravity-driven flows in porous layers. J. Fluid Mech. 292, 55-69. (Pubitemid 26440545)
14. Lake, L. 1989 Enhanced Oil Recovery. Prentice Hall.
15. Lyle, S., Huppert, H. E., Hallworth, M., Bickle, M. & Chadwick, A. 2005 Axisymmetric gravity currents in a porous medium. J. Fluid Mech. 543, 293-302. (Pubitemid 41700049)
16. Neufeld, J. A. & Huppert, H. E. 2009 Modelling carbon dioxide sequestration in layered strata. J. Fluid Mech. 625, 353-370.
17. Neufeld, J. A., Vella, D. & Huppert, H. E. 2009 The effect of a fissure on storage in a porous medium. J. Fluid Mech. 639, 239-259.
18. Nordbotten, J. M. & Celia, M. A. 2006 Similarity solutions for fluid injection into confined aquifers. J. Fluid Mech. 561, 307-327.
19. Nordbotten, J. M., Celia, M. A. & Bachu, S. 2004 Analytical solutions for leakage rates through abandoned wells. Wat. Resour. Res. 40 (4), W04204, doi:10.1029/2003WR00297, 1-10.
20. Nordbotten, J. M., Celia, M. A., Bachu, S. & Dahle, H. 2005 Semianalytical solution for CO2 leakage through an abandoned well. Environ. Sci. Technol. 39, 602-611.
21. Nordbotten, J. M., Kavetski, D., Celia, M. A. & Bachu, S. 2009 Model for CO2 leakage including multiple geological layers and multiple leaky wells. Environ. Sci. Technol. 43, 743-749.
22. Orr, F. M. Jr. 2009 Onshore geological storage of CO2. Science 325, 1656-1658.
23. Pacala, S. & Socolow, R. 2004 Stabilization wedges: solving the climate problem for the next 50 years with current technology. Science 305, 968-972. (Pubitemid 39071762)
24. Phillips, O. M. 2009 Geological Fluid Dynamics: Sub-Surface Flow and Reactions. Cambridge University Press.
25. Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. 1997 Numerical Recipes in Fortran 77: The Art ofScientific Computing, 2nd edn. Cambridge University Press.
26. Pritchard, D. 2007 Gravity currents over fractured substrates in a porous medium. J. Fluid Mech. 584, 415-431. (Pubitemid 47215399)
27. Pritchard, D. & Hogg, A. J. 2002 Draining viscous gravity currents in a vertical fracture. J. Fluid Mech. 459, 207-216.
28. Pritchard, D., Woods, A. W. & Hogg, A. J. 2001 On the slow draining of a gravity current moving through a layered permeable medium. J. Fluid Mech. 444, 23-47. (Pubitemid 32949306)
29. Spannuth, M. J., Neufeld, J. A., Wettlaufer, J. S. & Worster, M. G. 2009 Axisymmetric viscous gravity currents flowing over a porous medium. J. Fluid Mech. 622, 135-144.
30. Vella, D. & Huppert, H. E. 2006 Gravity currents in a porous medium at an inclined plane. J. Fluid Mech. 555, 353-362. (Pubitemid 44508874)
31. Vella, D, Neufeld, J. A., Huppert, H. E. & Lister, J. R. 2010 Leakage from gravity currents in a porous medium. Part 2. A line sink. J. Fluid Mech. doi:10.1017/S002211201000491X.
32. Woods, A. W. & Farcas, A. 2009 Capillary entry pressure and the leakage of gravity currents through a sloping layered permeable rock. J. Fluid Mech. 618, 361-379.