Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-19T07:27:56.440Z Has data issue: false hasContentIssue false

Modelling carbon dioxide sequestration in layered strata

Published online by Cambridge University Press:  14 April 2009

JEROME A. NEUFELD*
Affiliation:
Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CMS Wilberforce Road, Cambridge CB3 0WA, UK
HERBERT E. HUPPERT
Affiliation:
Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CMS Wilberforce Road, Cambridge CB3 0WA, UK
*
Email address for correspondence: j.neufeld@damtp.cam.ac.uk

Abstract

Motivated by the geological sequestration of carbon dioxide (CO2), we study the propagation of gravity currents in a porous medium bounded by a thin layer of much lower permeability. We formulate a model for drainage assuming that the fluid remains simply connected throughout. Using this model we examine the propagation of both two-dimensional and axisymmetric currents numerically. We find that for the fixed-flux situation solutions approach a steady state which is described analytically. The approach to this final solution depends on both the permeability contrast and thickness of the thin layer, and in many cases the current first overshoots before relaxing back to its ultimate steady state. Finally, we examine propagation along multiple thin, lower permeability layers as a reduced-order model of the plume of CO2 currently being injected at Sleipner in the North Sea.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

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, 359380.CrossRefGoogle Scholar
Anderson, D. M., McLaughlin, R. M. & Miller, C. T. 2003 The averaging of gravity currents in porous media. Phys. Fluids 15 (10), 28102829.Google Scholar
Arts, R., Eiken, O., Chadwick, A., Zweigel, P., van der Meer, L. & Zinszner, B. 2004 Monitoring of CO2injected at Sleipner using time-lapse seismic data. Energy 29, 13831392.CrossRefGoogle Scholar
Berly, T., Sharma, S. & Cook, P. 2008 CO2CRC Otway project: regulatory challenges and lessons learned. APPEA J. 48.CrossRefGoogle Scholar
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, 164176.CrossRefGoogle Scholar
Hesse, M. A., Orr, F. M. Jr & Tchelepi, H. A. 2008 Gravity currents with residual trapping. J. Fluid Mech. 611, 3560.CrossRefGoogle Scholar
Huppert, H. E. 1982 The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface. J. Fluid Mech. 121, 4358.CrossRefGoogle Scholar
Huppert, H. E. & Woods, A. W. 1995 Gravity-driven flows in porous layers. J. Fluid Mech. 292, 5569.CrossRefGoogle Scholar
Lyle, S., Huppert, H. E., Hallworth, M., Bickle, M. & Chadwick, A. 2005 Axisymmetric gravity currents in a porous medium. J. Fluid Mech. 543, 293302.Google Scholar
Nordbotten, J. M. & Celia, M. A. 2006 Similarity solutions for fluid injection into confined aquifers. J. Fluid Mech. 561, 307327.Google Scholar
Nordbotten, J. M., Celia, M. A. & Bachu, S. 2005 Injection and storage of CO2 in deep saline aquifers: analytical solution for CO2 plume evolution during injection. Transport Porous Med. 58, 339360.CrossRefGoogle Scholar
Pattle, R. E. 1959 Diffusion from an instantaneous point source with a concentration-dependent coefficient. Quart. J. Mech. Appl. Math. 12 (4), 407409.Google Scholar
Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P. 1997 Numerical Recipes in Fortran 77: The Art of Scientific Computing, 2nd ed. Cambridge University Press.Google Scholar
Pritchard, D. & Hogg, A. J. 2002 Draining viscous gravity currents in a vertical fracture. J. Fluid Mech. 459, 207216.Google Scholar
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, 2347.CrossRefGoogle Scholar
Rogner, H. H., Zhou, D., Bradley, R., Crabbé, P., Edenhofer, O., Hare, B., Kuijpers, L. & Yamaguchi, M. 2007 Climate Change 2007: Mitigation. Contribution of Working Group III to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press.Google Scholar
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, 135144.Google Scholar
Thompson, E. L. & Huppert, H. E. 2009 Carbon dioxide sequestration in aquifers: effects of viscosity. J. Fluid Mech. (in prep).Google Scholar
Vella, D. & Huppert, H. E. 2006 Gravity currents in a porous medium at an inclined plane. J. Fluid Mech. 555, 353362.Google Scholar