Transport in Porous Media

, Volume 58, Issue 3, pp 339–360 | Cite as

Injection and Storage of CO2 in Deep Saline Aquifers: Analytical Solution for CO2 Plume Evolution During Injection

  • Jan Martin  Nordbotten
  • Michael A. Celia
  • Stefan Bachu


Injection of fluids into deep saline aquifers is practiced in several industrial activities, and is being considered as part of a possible mitigation strategy to reduce anthropogenic emissions of carbon dioxide into the atmosphere. Injection of CO2 into deep saline aquifers involves CO2 as a supercritical fluid that is less dense and less viscous than the resident formation water. These fluid properties lead to gravity override and possible viscous fingering. With relatively mild assumptions regarding fluid properties and displacement patterns, an analytical solution may be derived to describe the space–time evolution of the CO2 plume. The solution uses arguments of energy minimization, and reduces to a simple radial form of the Buckley–Leverett solution for conditions of viscous domination. In order to test the applicability of the analytical solution to the CO2 injection problem, we consider a wide range of subsurface conditions, characteristic of sedimentary basins around the world, that are expected to apply to possible CO2 injection scenarios. For comparison, we run numerical simulations with an industry standard simulator, and show that the new analytical solution matches a full numerical solution for the entire range of CO2 injection scenarios considered. The analytical solution provides a tool to estimate practical quantities associated with CO2 injection, including maximum spatial extent of a plume and the shape of the overriding less-dense CO2 front.


two-phase flow analytical solutions carbon dioxide injection carbon sequestration 


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  1. Adams, J. J., Bachu, S. 2002Equations of state for basin geofluids: algorithm review and intercomparison for brinesGeofluids2257271Google Scholar
  2. Bachu, S. 2001Geological sequestration of anthropogenic carbon dioxide: applicability and current issuesGerhard, L. C.Harrison, W. E.Hanson, B. M. eds. Geological Perspectives of Global Climate ChangeAmerican Association of Petroleum GeologistsTulsa, OK285303Google Scholar
  3. Bachu, S. 2003Screening and ranking of sedimentary basins for sequestration of CO2 in geological mediaEnv. Geol.44277289DOI 10.1007/s00254-003-0762-9Google Scholar
  4. Bachu, S., Adams, J. J. 2002Sequestration of CO2 in geological media in response to climate change: capacity of deep saline aquifers to sequester CO2 in solutionEnergy Conversion and Management4431513175Google Scholar
  5. Bachu, S., and Gunter, W. D.: 2004, Acid gas injection in the Alberta basin, Canada: a CO2 storage experience, in: S. J. Baines and R. H. Worden (eds.), Geological Storage of Carbon Dioxide for Emissions Reduction: Technology, Geological Society Special Publication, Bath, UK, in press.Google Scholar
  6. Bachu, S. Nordbotten, J. M. and Celia M. A.: 2004, Evaluation of the spread of acid gas plumes injected in deep saline aquifers in western Canada as an analogue to CO2 injection in continental sedimentary basins, in: Proceedings of the 7th International Conference on Greenhouse Gas Control Technologies, Vancouver, BC, Canada, Sept. 5--9, in press.Google Scholar
  7. Bear, J. 1979Hydraulics of GroundwaterMcGraw-HillNew York567Google Scholar
  8. Blunt, M., King, P. 1991Relative permeabilities from two- and three-dimensional pore-scale network modeling, Transport in Porous Media6407Google Scholar
  9. Buckley, S.E., Leverett, M. C. 1942Mechanisms of fluid displacement in sandsTransactions of AIME146107116Google Scholar
  10. Celia, M. A.: and Bachu S.: 2003, Geological sequestration of CO2: is leakage unavoidable and acceptable? in: J. Gale and Y. Kaya (eds.), Proceedings of the Sixth International Greenhouse Gas Technologies Conference, Pergamon, Vol. I, pp. 477–482.Google Scholar
  11. Donaldson, E. C. 1964Subsurface disposal of industrial waste in the United StatesU.S. Bur. Mines Inf. Circ.821232Google Scholar
  12. Doughty, C., Pruess, K., Benson, S. M., Hovorka, S. D., Knox, P. R., and Green, C. T.: 2001 Capacity investigation of brine-bearing sands of the Frio Formation for geologic sequestration of CO2, in: Proceedings of the First National Conference on CO2 Capture and Sequestration, (CD-ROM), Washington, DC, May 14--17.Google Scholar
  13. Gasda, S. E.: 2004, CO 2Sequestration into a Mature Sedimentary Basin: Determining the Capacity and Leakage Potential of a Saline Aquifer Formation, Master’s Thesis, Princeton University, 121 pp.Google Scholar
  14. Gasda, S. E., Bachu, S. and Celia, M.A.: 2004, Spatial characterization of existing well locations in a mature sedimentary basin, Environmental Geology, to appear.Google Scholar
  15. Holloway, S. 2001Storage of fossil fuel-derived carbon dioxide beneath the surface of the earthAnnual Review of Energy and the Environment26145166Google Scholar
  16. Huppert, H. E., Woods, A. W. 1995Gravity driven flows in porous layersJournal of Fluid Mechanics2925569Google Scholar
  17. Klara, S. M., Srivastava, R. D., McIlvried, H. G. 2003Integrated collaborative technology development program for CO2 sequestration in geologic formations–United States Department of Energy R&DEnergy Conversion and Management4426992712Google Scholar
  18. Lake, L.W. 1989Enhanced Oil RecoveryPrentice-HallEnglewood Cliffs, NJGoogle Scholar
  19. Law, D. H., Bachu, S. 1996Hydrogeological and numerical analysis of CO2 disposal in deep aquifers in the Alberta sedimentary basinEnergy Conversion and Management3711671174Google Scholar
  20. Levitan, M. M.: 2002, Application of water injection/falloff tests for reservoir appraisal: New analytical solution method for two-phase variable rate problems, in: Proceedings of the Society of Petroleum Engineers Annual Technical Conference and Exhibition, SPE Paper 77532.Google Scholar
  21. Lindeberg, E. 1997Escape of CO2 from aquifersEnergy Conversion and Management,38SS235S240Google Scholar
  22. Lindeberg, E., Zweigel, P., Bergmo, P., Ghaderi, A. and Lothe, A.: 2001, Prediction of CO2 distribution pattern improved by geology and reservoir simulation and verified by time lapse seismic, in: D. Williams, D. Durie, P. McMullan, C. Paulson, and A. Smith, (eds.), Proceedings of the Fifth International Conference on Greenhouse Gas Control Technologies (GHGT-5), Collingwood, VIC, AU, pp. 299–304.Google Scholar
  23. Nordbotten, J. M., Celia, M. A. and Bachu, S.: 2004, Analytical solutions for leakage rates through abandoned wells, Water Resources Research 40, W04204, doi:10.1029/2003WR002997.Google Scholar
  24. Pruess, K., García, J., Kovscek, T., Oldenburg, C.. Rutqvist, J., Steefel C. and Xu, T.: 2002, Intercomparison of numerical simulation codes for geologic disposal of CO2. Lawrence Berkeley National Laboratory Report LBNL-51813.Google Scholar
  25. Saripalli, P., McGrail, P. 2002Semi-analytical approaches to modeling deep well injection of CO2 for geological sequestrationEnergy Conversion and Management43185198Google Scholar
  26. Smith, R.E. 1996EPA mission research in support of hazardous waste injection 1986–1994Apps, y J. A.Tsang, C.-F. eds. Deep Injection Disposal of Hazardous and Industrial WasteAcademic PressSan Diego, CA924Google Scholar
  27. U.S. Environmental Protection Agency1985Report to congress on injection of hazardous wasteOffice of Drinking WaterWashington, DCEPA 570/9-85-003Google Scholar
  28. Woods, A. W., Mason, R. 2000The dynamics of two-layer gravity-driven flows in porous mediaJournal of Fluid Mechanics42183114Google Scholar
  29. Woods, E. G. and Comer, A. G.: 1962, Saturation and injection pressure for a radial gas-storage reservoir, Society of Petroleum Engineers 401.Google Scholar
  30. Xu, T., Apps, J.A., Pruess, K. 2003Reactive geochemical transport simulation to study mineral trapping for CO2 disposal in deep arenaceous formationsJournal of Geophysical Research10820712083Google Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Jan Martin  Nordbotten
    • 1
  • Michael A. Celia
    • 2
  • Stefan Bachu
    • 3
  1. 1.Department of MathematicsUniversity of BergenBergenNorway
  2. 2.Environmental Engineering and Water Resources Program, Department of Civil and Environmental EngineeringPrinceton UniversityPrincetonUSA
  3. 3.Alberta Geological SurveyAlberta Energy and Utilities BoardEdmontonCanada

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