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Bubbles emerging from a submerged granular bed

  • J. A. MEIER (a1), J. S. JEWELL (a1), C. E. BRENNEN (a1) and J. IMBERGER (a2)


This paper explores the phenomena associated with the emergence of gas bubbles from a submerged granular bed. While there are many natural and industrial applications, we focus on the particular circumstances and consequences associated with the emergence of methane bubbles from the beds of lakes and reservoirs since there are significant implications for the dynamics of lakes and reservoirs and for global warming. This paper describes an experimental study of the processes of bubble emergence from a granular bed. Two distinct emergence modes are identified, mode 1 being simply the percolation of small bubbles through the interstices of the bed, while mode 2 involves the cumulative growth of a larger bubble until its buoyancy overcomes the surface tension effects. We demonstrate the conditions dividing the two modes (primarily the grain size) and show that this accords with simple analytical evaluations. These observations are consistent with previous studies of the dynamics of bubbles within porous beds. The two emergence modes also induce quite different particle fluidization levels. The latter are measured and correlated with a diffusion model similar to that originally employed in river sedimentation models by Vanoni and others. Both the particle diffusivity and the particle flux at the surface of the granular bed are measured and compared with a simple analytical model. These mixing processes can be consider applicable not only to the grains themselves, but also to the nutrients and/or contaminants within the bed. In this respect they are shown to be much more powerful than other mixing processes (such as the turbulence in the benthic boundary layer) and could, therefore, play a dominant role in the dynamics of lakes and reservoirs.


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Brennen, C. E. 1995 Cavitation and Bubble Dynamics. Oxford University Press.
Brennen, C. E. 2005 Fundamentals of Multiphase Flow. Cambridge University Press.
Brooks, M. C., Wise, W. R. & Annable, M. D. 1999 Fundamental changes in in situ air sparging flow patterns. Ground Water Monit. Remediat. 19 (2), 105113.
Dean, W. E. & Gorham, E. 1998 Magnitude and significance of carbon burial in lakes, reservoirs, and peatlands. Geology 26, 535538.
Gostiaux, L., Gayvallet, H. & Géminard, J.-C. 2002 Dynamics of a gas bubble rising through a thin immersed layer of granular material: an experimental study. Granular Matter 4, 3944.
Hanson, R. S. & Hanson, T. E. 1996 Methanotrophic bacteria. Microbiol. Rev. 60 (2), 439471.
Hornafius, J. S., Quigley, D. & Luyendyk, B. P. 1999 The world's most spectacular marine hydrocarbon seeps (Coal Oil Point, Santa Barbara Channel, California): quantification of emissions. J. Geophys. Res. 104, 2070320711.
Houghton, R. A. 2007 Balancing the global carbon budget. Annu. Rev. Earth Planet. 35, 313347.
Ji, W., Dahmani, A., Ahlfeld, D. P., Lin, J. D. & Hill, E. 1993 Laboratory study of air sparging: air flow visualization. Ground Water Monit. Remediat 14 (4), 115126.
Leifer, I. & Culling, D. 2010 Formation of seep bubble plumes in the Coal Oil Point Seep field. Geo-Mar. Lett. 30, 339353.
Lemckert, C., Antenucci, J., Saggio, A. & Imberger, J. 2004 Physical properties of turbulent benthic boundary layers generated by internal waves. ASCE J. Hydraul. Engng doi:10.1061/(ASCE)0733-9429(2004)130:1(58).
Marti, C. L. & Imberger, J. 2006 Dynamics of the benthic boundary layer in a strongly forced stratified lake. Hydrobiologia 568, 217233.
Mau, S., Valentine, D. L., Clark, J. F., Reed, J., Camilli, R. & Washburn, L. 2007 Dissolved methane distributions and air sea flux in the plume of a massive seep field, Coal Oil Point, California. Geophys. Res. Lett. 34, L22603.
McGinnis, D. F., Greinert, J., Artemov, Y., Beaubien, S. E. & Wuest, A. 2006 Fate of rising methane bubbles in stratified waters: how much methane reaches the atmosphere? J. Geophys. Res. 111, C09007.
Nakayama, K. & Imberger, J. 2010 Residual circulation due to internal waves shoaling on a slope. J. Phys. Oceanogr. submitted.
Ostrovsky, I., McGinnis, D. F., Lapidus, L. & Eckert, W. 2008 Quantifying gas ebullition with echosounder: the role of methane transport by bubbles in a medium-sized lake. Limnol. Oceanogr.: Methods 6, 105118.
Pokusaev, B. G., Kazenin, D. A. & Karlov, S. P. 2004 Immersion tomographic study of the motion of bubbles in a flooded granular bed. Teoreticheskie Osnovy Khimicheskoi Tekhnologii 38 (6), 595603 (translation in Theor. Found. Chem. Engng 38 (6), 561–568).
Romero, J. R., Patterson, J. C. & Melack, J. M. 1996 Simulation of the effect of methane bubble plumes on vertical mixing in Mono Lake. Aquat. Sci. 58 (3), 211223.
Roosevelt, S. E. & Corapcioglu, M. Y. 1998 Air bubble migration in a granular porous medium: experimental studies. Water Resour. Res. 34 (5), 11311142.
Schoell, M., Tietze, K. & Schoberth, S. M. 1988 Origin of methane in Lake Kivu (East-Central Africa). In: Schoell, M. (Guest editor), Origins of methane in the Earth. Chem. Geol. 71, 257265.
Shimuzu, K. & Imberger, J. 2008 Energetics and damping of basin-scale internal waves in a strongly stratified lake. Limnol. Oceanogr. 53 (4), 15741588.
Strauss, R. 2009 An assessment of sediment diagenesis modelling by the computational aquatic ecosystem dynamics model. Report for Centre for Water Research, University of Western Australia.
Vanoni, V. A. 1975 Sedimentation Engineering. ASCE Manuals and Reports on Engineering Practice No. 54. ASCE.
Yeates, P. S. & Imberger, J. 2003 Pseudo two dimensional simulations of internal and boundary fluxes in stratified lakes and reservoirs. Intl. J. River Basin Manage. 1 (4), 297319.
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Bubbles emerging from a submerged granular bed

  • J. A. MEIER (a1), J. S. JEWELL (a1), C. E. BRENNEN (a1) and J. IMBERGER (a2)


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