TECHNICAL PAPERS
Jun 15, 2011

Bubble Sizes, Breakup, and Coalescence in Deepwater Gas/Oil Plumes

Publication: Journal of Hydraulic Engineering
Volume 137, Issue 7

Abstract

Bubble size distribution (BSD) plays a major role in transport and fate of gas or oil released in deepwater. However, no reliable method is available to estimate gas or oil BSD after a deepwater spill. Breakup and coalescence have been identified as key processes controlling BSDs in turbulent jets. The present work introduces bubble breakup and coalescence processes for deepwater gas or oil spill models. A population balance equation representing bubble volumes is used to model the evolution of bubble sizes caused by breakup and coalescence. Existing theories for bubble breakup and coalescence rates in bubble columns are adopted to deepwater plumes. The advantage of the present model is that the BSD is generated as a result of breakup and coalescence; and therefore, a predefined BSD is no longer necessary for simulations. The comparison of model-computed results with laboratory and field data shows a good agreement. Scenario simulations show that the seed diameter given to start computations affects only for a short distance from the release point. Simulations also show that bubble breakup and coalescence is important only during the early stages of the plume where turbulence is dominant. The importance of accounting for gas bubble breakup and coalescence in estimation of gas dissolution is also demonstrated.

Get full access to this article

View all available purchase options and get full access to this article.

References

Batchelor, G. K. (1982). The theory of homogeneous turbulence, Cambridge University Press, Cambridge, UK.
Chen, F., and Yapa, P. D. (2003). “A model for simulating deepwater oil and gas blowouts–Part II: Comparison of numerical simulations with deepspill field experiments.” J. Hydraul. Res., 41(4), 353–365.
Chen, P., Sanyal, J., and Dudukovic, M. (2005). “Numerical simulation of bubble columns flows: Effect of different breakup and coalescence closures.” Chem. Eng. Sci., 60(4), 1085–1101.
Clift, R., Grace, J., and Weber, M. (1978). Bubbles, drops, and particles, Academic Press, New York.
Colella, D., Vinci, D., Bagatin, R., Masi, M., and Bakr, E. A. (1999). “A study on coalescence and breakage mechanisms in three different bubble columns.” Chem. Eng. Sci., 54(21), 4767–4777.
Coulaloglou, C., and Tavlarides, L. (1977). “Description of interaction processes in agitated liquid-liquid dispersions.” Chem. Eng. Sci., 32(11), 1289–1297.
Hagesaether, L., Jakobsen, H. A., and Svendsen, H. F. (2002). “A model for turbulent binary breakup of dispersed fluid particles.” Chem. Eng. Sci., 57(16), 3251–3267.
Hesketh, R. P., Etchells, A. W., and Russell, T. (1991). “Experimental observations of bubble breakage in turbulent flow.” Ind. Eng. Chem. Res., 30(5), 835–841.
Hinze, J. O. (1955). “Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes.” AIChE J., 1(3), 289–295.
Hinze, J. O. (1959). Turbulence. McGraw-Hill, New York.
Johansen (2000). “Deepblow—A lagrangian plume model for deep water blowouts.” Spill Sci. Technol. Bull., 6(2), 103–111.
Johansen, O., Rye, H., Melbye, A. G., Jensen, H. V., Serigstad, B., and Knutsen, T. (2000). “Deep spill jip-experimental discharges of gas and oil at helland hansen.” Technical Report 661182, SINTEF Applied Chemistry, Trondheim, Norway.
Kennard, E. H. (1938). Kinetic theory of gases, McGraw-Hill, New York.
Kim, J. W., and Lee, W. K. (1987). “Coalescence behavior of two bubbles in stagnant liquids.” J. Chem. Eng. Jpn., 20(5), 448–453.
Kirkpatrick, R., and Lockett, M. (1974). “Inuence of approach velocity on bubble coalescence.” Chem. Eng. Sci., 29(12), 2363.
Kumar, S., and Ramkrishna, D. (1996). “On the solution of population balance equations by discretization–I. A xed pivot technique.” Chem. Eng. Sci., 51(8), 1311–1332.
Lee, J., and Chu, H. (2003). Turbulent jets and plumes: A Lagrangian approach, Kluwer Academic Publishers Group, Dordrecht, Netherlands.
Lee, J. H. W., and Cheung, V. (1990). “Generalized lagrangian model for buoyant jets in current.” J. Environ. Eng., 116(6), 1085–1106.
Lehr, F., Millies, M., and Mewes, D. (2002). “Bubble-size distributions and flow fields in bubble columns.” AIChE J., 48(11), 2426–2443.
Levich, V. G. (1962). Pysicochemical Hydrodynamics, Prentice Hall, Englewood Cliffs, NJ.
Liu, S., and Li, D. (1999). “Drop coalescence in turbulent dispersions.” Chem. Eng. Sci., 54(23), 5667–5675.
Luo, H., and Svendsen, H. F. (1996). “Theoretical model for drop and bubble breakup in turbulent dispersions.” AIChE J., 42(5), 1225–1233.
Martinez-Bazan, C., Montanes, J., and Lasheras, J. (1999). “On the breakup of an air bubble injected into a fully developed turbulent flow. I. breakup frequency.” J. Fluid Mech., 401, 157–182.
Masutani, M. S., and Adams, E. E. (2001). “Experimental study of multi-phase plumes with application to deep ocean oil spills.” Technical report, Hawaii Natural Energy Institute, Univ. of Hawaii, Honolulu.
Nambiar, D., Kumar, R., Das, T., and Gandhi, K. (1992). “New model for the breakage frequency of drops in turbulent stirred dispersions.” Chem. Eng. Sci., 47(12), 2989–3002.
Prince, M. J., and Blanch, H. W. (1990). “Bubble coalescence and break-up in air-sparged bubble columns.” AIChE J., 36(10), 1485–1499.
Schatzmann, M. (1979). “An integral model of plume rise.” Atmos. Environ. (1967), 13(5), 721–731.
Tennekes, H., and Lumley, J. L. (1990). A first course in turbulence, 13th Ed., MIT Press, Cambridge, MA.
Tsouris, C., and Tavlarides, L. (1994). “Drop size distribution and holdup proles in a multistage extraction column.” AIChE J., 40(3), 407–418.
Wang, T., Wang, J., and Jin, Y. (2003). “A novel theoretical breakup kernel function for bubbles/droplets in a turbulent flow.” Chem. Eng. Sci., 58(20), 4629–4637.
Yapa, P. D., and Chen, F. (2004). “Behavior of oil and gas from deepwater blowouts.” J. Hydraul. Eng., 130(6), 540–553.
Zheng, L., and Yapa, P. (2000). “Buoyant velocity of spherical and nonspherical bubbles/droplets.” J. Hydraul. Eng., 126(11), 852–854.
Zheng, L., Yapa, P. D., and Chen, F. (2003). “A model for simulating deepwater oil and gas blowouts–Part I: Theory and model formulation.” J. Hydraul. Res., 41(4), 339–351.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 137Issue 7July 2011
Pages: 729 - 738

History

Received: Oct 28, 2009
Accepted: Sep 3, 2010
Published online: Jun 15, 2011
Published in print: Jul 1, 2011

Permissions

Request permissions for this article.

Authors

Affiliations

Uditha C. Bandara, S.M.ASCE
Research Assistant, Dept. of Civil and Environmental Engineering, Clarkson Univ., Potsdam, NY 13699.
Poojitha D. Yapa, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Clarkson Univ., Potsdam, NY 13699 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share