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Creeping plumes

Published online by Cambridge University Press:  20 April 2006

Peter Olson
Affiliation:
Department of Earth and Planetary Sciences, The Johns Hopkins University, Baltimore, MD 21218
Harvey Singer
Affiliation:
Department of Earth and Planetary Sciences, The Johns Hopkins University, Baltimore, MD 21218

Abstract

Results of laboratory experiments are used to determine the morphology and the ascent rate of growing buoyant plumes in a homogeneous, viscous fluid. The plumes were formed by injecting a glucose solution through a small orifice into another glucose solution of different density. Two classes of creeping (low-Reynolds-number) plumes are investigated: (i) diapiric plumes, for which the plume viscosity is approximately equal to the ambient-fluid viscosity, and (ii) cavity plumes, for which the plume fluid is much less viscous than the ambient fluid. Fully developed diapirs consist of a tapered cylindrical stem capped by a mushroom-shaped vortex at its leading edge. Fully developed cavity plumes consist of a nearly spherical chamber connected to the source by a narrow umbilical conduit. It is observed that the ascent velocity of cavity plumes increases with time as t. The ascent velocity of diapirs is found to be proportional to the terminal velocity of a cylinder moving parallel to its axis. The presence of pre-existing conduits alters the morphology of cavity plumes and greatly increases their ascent rate. Fossil conduits act as plume guides by offering low-resistance ascent paths. Finally, a series of experiments have been made on the interaction between cavity plumes and a large-scale background circulation. A low-viscosity plume generated by a source towed steadily through a highly viscous fluid breaks into a chain of regularly spaced, individual cavities, as first demonstrated by Skilbeck & Whitehead. The cavities ascend as an inclined linear array of Stokes droplets. Dimensional analysis is used to derive scaling laws for the cavity volumes and their replication rate in terms of the source parameters and the tow speed. The qualitative results from these experiments generally lend support to the hypothesis that buoyant plumes in the Earth's mantle are the source of hot-spot volcanism. In particular the experiments suggest an explanation for the observation that hot spots remain nearly fixed in the presence of mantle convection.

Type
Research Article
Copyright
© 1985 Cambridge University Press

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References

Batchelor G. K. 1970 An Introduction to Fluid Dynamics. Cambridge University Press. 615 pp.
Booker J. R. 1976 Thermal convection with strongly temperature dependent viscosity. J. Fluid Mech. 76, 741754.Google Scholar
Boss, A. P. & Sacks I. S. 1985 Formation and growth of deep mantle plumes. Geophys. J. R. Astron. Soc. 80, in press.Google Scholar
Brand, R. S. & Lahey F. J. 1967 The heated vertical laminar jet. J. Fluid Mech. 29, 305315.Google Scholar
Christensen U. 1984 Instability of a hot boundary layer and initiation of thermo-chemical plumes. Anal. Geophys. 2, 311320.Google Scholar
Clift R., Grace, J. R. & Weber M. E. 1978 Bubbles, Drops and Particles. Academic. 380 pp.
Crough S. T. 1978 Thermal origin of mid-plate hot spot swells. Geophys. J. R. Astron. Soc. 55, 451469.Google Scholar
Crough, S. T. & Jurdy D. M. 1980 Subducted lithosphere, hot spots, and the geoid. Earth Planet. Sci. Lett. 48, 1522.Google Scholar
Foster T. D. 1971 Intermittent convection. Geophys. Fluid Dyn. 2, 201217.Google Scholar
Fujii T. 1963 Theory of the steady laminar natural convection above a horizontal line heat source and a point heat source. Intl J. Heat Mass Transfer 6, 597606.Google Scholar
Gebhart B., Pera, L. & Schon A. W. 1970 Steady laminar natural convection plumes above a horizontal line heat source. Intl J. Heat Mass Transfer 13, 161171.Google Scholar
Happel, J. & Brenner H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
Haxby, W. F. & Turcotte D. L. 1978 On isostatic geoid anomalies. J. Geophys. Res. 83, 54735478.Google Scholar
Jackson E. D., Silver, E. A. & Dalrymple, G. B. 1972 Hawaiian-Emperor chain and its relation to Cenozoic circumpacific tectonics Bull. Geol. Soc. Am. 83, 601618.Google Scholar
Mcdougall I. 1964 Potassium-argon ages from lavas of the Hawaiian Islands Bull. Geol. Soc. Am. 75, 107128.Google Scholar
Molnar, P. & Atwater T. 1973 Relative motion of hot spots in the mantle. Nature 246, 288291.Google Scholar
Morgan W. J. 1971 Convective plumes in the lower mantle. Nature 230, 4243.Google Scholar
Morgan W. J. 1972 Plate motions and deep mantle convection. Geol. Soc. Am. Mem. 132, 722.Google Scholar
Morgan W. J. 1981 Hot spot tracks and the opening of the Atlantic and Indian Oceans. The Sea 7, 443487.Google Scholar
Morris S. 1985 Thermals and starting plumes in a highly viscous fluid. Submitted to J. Fluid Mech.Google Scholar
Morton B. R., Taylor, G. I. & Turner J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources Proc. R. Soc. Lond. A 234, 1.Google Scholar
Nataf, H. C. & Richter F. M. 1982 Convection experiments in fluids with highly temperature-dependent viscosity and the thermal evolution of the planets. Phys. Earth Planet. Int. 29, 320329.Google Scholar
Olson P. 1984 An experimental approach to thermal convection in a two-layered mantle. J. Geophys. Res. 89, 1129311302.Google Scholar
Roberts G. O. 1977 Fast viscous convection. Geophys. Astrophys. Fluid Dyn. 8, 197233.Google Scholar
Skilbeck, J. N. & Whitehead J. A. 1978 Formation of discrete islands in linear island chains. Nature 272, 499501.Google Scholar
Slawson, P. R. & Csanady G. T. 1967 On the mean path of buoyant, bent over chimney plumes. J. Fluid Mech. 28, 311.Google Scholar
Slawson, P. R. & Csanady G. T. 1971 The effect of atmospheric conditions on plume rise. J. Fluid Mech. 47, 33.Google Scholar
Spaulding, D. B. & Cruddace R. G. 1961 Theory of the steady laminar buoyant flow above a line heat source in a fluid of large Prandtl number and temperature dependent viscosity. Intl J. Heat Mass Transfer 3, 5559.Google Scholar
Stacey, F. D. & Loper D. E. 1983 The thermal boundary layer interpretation of D” and its role as a plume source. Phys. Earth Planet. Int. 33, 4555.Google Scholar
Turner J. S. 1969 Buoyant plumes and thermals. A. Rev. Fluid Mech. 1, 29.Google Scholar
Turner J. S. 1979 Buoyancy Effects in Fluids. Cambridge University Press. 368 pp.
Vogt P. R. 1974 Volcano spacing, fractures and thickness of the lithosphere. Earth Planet. Sci. Lett. 21, 235252.Google Scholar
Von Herzen, R. P., Detrick, R. S., Crough, S. T., Epp, D. & Fehn, U. 1982 Thermal origin of the Hawaiian swell: heat flow evidence and thermal models. J. Geophys. Res. 87, 67116723.Google Scholar
Whitehead J. A. 1982 Instabilities of fluid conduits in a flowing earth - are plates lubricated by the asthenosphere? Geophys. J. R. Astron. Soc. 70, 415433.Google Scholar
Whitehead, J. A. & Luther D. S. 1975 Dynamics of laboratory diapir and plume models. J. Geophys. Res. 80, 705717.Google Scholar
Yuen, D. A. & Schubert G. 1976 Mantle plumes: a boundary layer approach for Newtonian and non-Newtonian temperature-dependent rheologies. J. Geophys. Res. 81, 24992510.Google Scholar