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  • Journal of Fluid Mechanics, Volume 584
  • August 2007, pp. 415-431

Gravity currents over fractured substrates in a porous medium

  • DOI:
  • Published online: 10 August 2007

We consider the behaviour of a gravity current in a porous medium when the horizontal surface along which it spreads is punctuated either by narrow fractures or by permeable regions of limited extent. We derive steady-state solutions for the current, and show that these form part of a long-time asymptotic description which may also include a self-similar ‘leakage current’ propagating beyond the fractured region with a length proportional to t1/2. We discuss the conditions under which a current can be completely trapped by a permeable region or a series of fractures.

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S. Bachu 2000 Sequestration of CO2 in geological media: criteria and approach for site selection in response to climate change. Energy Conversion and Management 41, 953970.

G. I. Barenblatt 2003 Scaling. Cambridge University Press.

J. Bear 1972 Dynamics of Fluids in Porous Media. Dover.

M. Bickle , A. Chadwick , H. E. Huppert , M. Hallworth & S. Lyle 2007 Modelling carbon dioxide accumulation at Sleipner: Implications for underground carbon storage. Earth Planetary Sci. Lett. 255, 164176.

J. M. Nordbotten , M. A. Celia & S. Bachu 2004 Analytical solutions for leakage rates through abandoned wells. Wat. Resour. Res. 40 (4), W04204, doi:10.1029/2003WR002997.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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