Автор |
Bercovici, David |
Автор |
Lin, Jian |
Дата выпуска |
1996 |
dc.description |
Gravity currents are a ubiquitous fluid dynamical phenomenon which involve the horizontal spreading of fluid masses under their own weight or buoyancy. A theoretical model is developed to account for the effects of bulk cooling on the dynamics and morphology of geological gravity currents, with particular focus on mantle plume heads spreading beneath the lithosphere. As many geological gravity currents (e.g., plume heads and lava flows) spread, they cool and thereby become more viscous and dense. All gravity currents initially spread at the same rate as the isothermal currents predicted by Huppert [1982]. However, currents with temperature‐dependent viscosity and/or buoyancy eventually go to a much slower spreading rate than the isothermal currents. Moreover, unlike the isothermal gravity currents, cooling variable‐viscosity and/or variable‐buoyancy currents do not conserve shape as they spread. Both constant volume and constant volume flux currents with strongly temperature dependent viscosity develop steep‐sided flat‐topped, plateau shapes which become more rounded once the currents lose most of their heat. Currents with temperature‐dependent buoyancy develop inflections or even extensive swelling at their flow fronts. The surface expression of the edge‐steepening effect in mantle plume heads is likely to be filtered by lithospheric flexure but may contribute to the flattened plateau shape inferred by Wessel [1993] for the Hawaiian swell. The frontal inflation effect due to variable buoyancy may contribute to the dual‐lobe structure of the Hawaiian swell gravity anomaly and suggests an alternate physical mechanism for forming the torus‐ or horseshoe‐shaped geochemical patterns in the Galápagos and the Marquesas hotspots. Perhaps most significantly, the gravity current model also predicts the thermal (i.e., degree‐of‐melting) pattern for Galápagos and Marquesas hotspots more readily than the traditional entrainment models. |
Формат |
application.pdf |
Копирайт |
Copyright 1996 by the American Geophysical Union. |
Тема |
GEODESY AND GRAVITY |
Тема |
Earth's interior: dynamics |
Тема |
TECTONOPHYSICS |
Тема |
Dynamics of lithosphere and mantle: general |
Тема |
Physics of magma and magma bodies |
Тема |
Tectonophysics: Dynamics, convection currents and mantle plumes |
Тема |
VOLCANOLOGY |
Тема |
Lava rheology and morphology |
Название |
A gravity current model of cooling mantle plume heads with temperature‐dependent buoyancy and viscosity |
Тип |
article |
DOI |
10.1029/95JB03538 |
Electronic ISSN |
2156-2202 |
Print ISSN |
0148-0227 |
Журнал |
Journal of Geophysical Research: Solid Earth |
Том |
101 |
Первая страница |
3291 |
Последняя страница |
3309 |
Выпуск |
B2 |
Библиографическая ссылка |
Bercovici, D., Wave dynamics in mantle plume heads and hotspot swells, Geophys. Res. Lett., 19, 1791–1794, 1992. |
Библиографическая ссылка |
Bercovici, D., A theoretical model of cooling viscous gravity currents with temperature‐dependent viscosity, Geophys. Res. Lett., 21, 1177–1180, 1994. |
Библиографическая ссылка |
Bercovici, D., G.Schubert, P. J.Tackley, On the penetration of the 660‐km phase change by mantle downflows, Geophys. Res. Lett., 20, 2599–2602, 1993. |
Библиографическая ссылка |
Crisp, J., S.Baloga, A model for lava flow with two thermal components, J. Geophys. Res., 95, 1255–1270, 1990. |
Библиографическая ссылка |
Didden, N., T.Maxworthy, The viscous spreading of plane and axisymmetric gravity currents, J. Fluid Mech., 121, 27–42, 1982. |
Библиографическая ссылка |
Duncan, R. A., M. T.McCulloch, H. G.Barsczus, D. R.Nelson, Plume versus lithospheric sources for melts at Ua Pou, Marquesas Islands, Nature, 322, 534–538, 1986. |
Библиографическая ссылка |
Feighner, M. A., M. A.Richards, Lithospheric structure and compensation mechanisms of the Galápagos Archipelago, J. Geophys. Res., 99, 6711–6729, 1994. |
Библиографическая ссылка |
Fink, J. H., R. W.Griffiths, Radial spreading of viscous‐gravity currents with solidifying crust, J. Fluid Mech., 221, 485–509, 1990. |
Библиографическая ссылка |
Fink, J. H., R. W.Griffiths, A laboratory analog study of the surface morphology of lava flows extruded from point and line sources, J. Volcanol. Geotherm. Res., 54, 19–32, 1992. |
Библиографическая ссылка |
Geist, D. J., W. M.White, A. R.McBirney, Plume‐asthenosphere mixing beneath the Galápagos Archipelago, Nature, 333, 657–660, 1988. |
Библиографическая ссылка |
Griffiths, R. W., The differing effects of compositional and thermal buoyancies on the evolution of mantle diapirs, Phys. Earth. Planet. Inter., 43, 261–273, 1986. |
Библиографическая ссылка |
Griffiths, R. W., I. H.Campbell, Stirring and structure in mantle starting plumes, Earth Planet. Sci. Lett., 99, 66–78, 1990. |
Библиографическая ссылка |
Griffiths, R. W., I. H.Campbell, On the dynamics of long‐lived plume conduits in the convecting mantle, Earth Planet. Sci. Lett., 103, 214–227, 1991a. |
Библиографическая ссылка |
Griffiths, R. W., I. H.Campbell, Interaction of mantle plume heads with the Earth's surface and onset of small‐scale convection, J. Geophys. Res., 96, 18295–18310, 1991b. |
Библиографическая ссылка |
Griffiths, R. W., J. H.Fink, Effects of surface cooling on the spreading of lava flows and domes, J. Fluid Mech., 252, 667–702, 1993. |
Библиографическая ссылка |
Griffiths, R. W., M.Gurnis, G.Eitelberg, Holographic measurements of surface topography in laboratory models of mantle hotspots, Geophys. J., 96, 477–495, 1989. |
Библиографическая ссылка |
Helfrich, K. R., J. A.Whitehead, Solitary waves on conduits of buoyant fluid in a more viscous fluid, Geophys. Astrophys. Fluid Dyn., 51, 35–52, 1990. |
Библиографическая ссылка |
Huppert, H. E., The propagation of two‐dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface, J. Fluid. Mech., 121, 43–58, 1982. |
Библиографическая ссылка |
Huppert, H. E., J. B.Shepherd, H.Sigurdsson, R. S. J.Sparks, On lava dome growth, with application to the 1979 lava extrusion of the Soufrière of St. Vincent, J. Volcanol. Geotherm. Res., 14, 199–222, 1982. |
Библиографическая ссылка |
Kerr, R. C., J. R.Lister, The spread of subducted lithospheric material along the mid‐mantle boundary, Earth Planet. Sci., 85, 241–247, 1987. |
Библиографическая ссылка |
Koch, D. M., D. L.Koch, Numerical and theoretical solutions for a drop spreading below a free fluid surface, J. Fluid Mech., 287, 251–278, 1995. |
Библиографическая ссылка |
Lister, J. R., R. C.Kerr, The propagation of two‐dimensional and axisymmetric viscous gravity currents at a fluid interface, J. Fluid Mech., 203, 215–249, 1989. |
Библиографическая ссылка |
Loper, D. E., F. D.Stacey, The dynamical and thermal structure of deep mantle plumes, Phys. Earth Planet. Inter., 33, 304–317, 1983. |
Библиографическая ссылка |
McNutt, M. K., L.Shure, Estimating the compensation depth of the Hawaiian swell with linear filters, J. Geophys. Res., 91, 13915–13924, 1986. |
Библиографическая ссылка |
Olson, P., Hot spots, swells and mantle plumes, Magma Transport and StorageM. P.Ryan, 33–51, John Wiley, New York, 1990. |
Библиографическая ссылка |
Olson, P., Mechanics of flood basalt magmatism, Magmatic SystemsM. P.Ryan, 1–18, Academic, San Diego, Calif., 1994. |
Библиографическая ссылка |
Olson, P., U.Christensen, Solitary wave propagation in a fluid conduit within a viscous matrix, J. Geophys. Res., 91, 6367–6374, 1986. |
Библиографическая ссылка |
Olson, P., I. S.Nam, The formation of sea floor swell by mantle plumes, J. Geophys. Res., 91, 7181–7191, 1986. |
Библиографическая ссылка |
Olson, P., H.Singer, Creeping plumes, J. Fluid Mech., 158, 511–531, 1985. |
Библиографическая ссылка |
Pavri, B., J. W.Head, K. B.Klose, L.Wilson, Steep‐sided domes on Venus: Characteristics, geologic setting, and eruption conditions from Magellan data, J. Geophys. Res., 97, 13445–13478, 1992. |
Библиографическая ссылка |
Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Taylor and Francis, Bristol, Pa., 1980. |
Библиографическая ссылка |
Phipps Morgan, J., W. J.Morgan, E.Price, Hotspot melting generates both hotspot volcanism and a hotspot swell?, J. Geophys. Res., 100, 8045–8062, 1995. |
Библиографическая ссылка |
Ribe, N. M., U. R.Christensen, Three‐dimensional modeling of plume‐lithosphere interaction, J. Geophys. Res., 99, 669–682, 1994. |
Библиографическая ссылка |
Richards, M. A., R. W.Griffiths, Thermal entrainment by deflected mantle plumes, Nature, 342, 900–902, 1989. |
Библиографическая ссылка |
Sakimoto, S. E. H., M. T.Zuber, The spreading of variable viscosity axisymmetric radial gravity currents: Applications to the emplacement of Venus “pancake” domes, J. Fluid Mech., 301, 65–77, 1995. |
Библиографическая ссылка |
Schubert, G., P.Olson, C.Anderson, P.Goldman, Solitary waves in mantle plumes, J. Geophys. Res., 94, 9523–9532, 1989. |
Библиографическая ссылка |
Scott, D. R., D. J.Stevenson, J. A.Whitehead, Observations of solitary waves in a viscously deformable pipe, Nature, 319, 759–761, 1986. |
Библиографическая ссылка |
Skilbeck, J. N., J. A.Whitehead, Formation of discrete islands in linear island chains, Nature, 272, 499–501, 1978. |
Библиографическая ссылка |
Sleep, N. H., Hotspots and mantle plumes: Some phenomenology, J. Geophys. Res., 95, 6715–6736, 1990. |
Библиографическая ссылка |
Smith, D. K., J. R.Cann, Building the crust at the Mid‐Atlantic Ridge, Nature, 365, 707–715, 1993. |
Библиографическая ссылка |
Smith, D. K., et al., Mid‐Atlantic Ridge volcanism from deep‐towed side‐scan sonar images, 25°‐29°N, J. Volcanol. Geotherm. Res., 67, 233–262, 1995. |
Библиографическая ссылка |
Squyres, S. W., D. M.Janes, G.Baer, D. L.Bindschadler, G.Schubert, V. L.Scharpton, E. R.Stofan, The morphology and evolution of coronae on Venus, J. Geophys. Res., 97, 13611–13634, 1992. |
Библиографическая ссылка |
Stasiuk, M. V., C.Jaupart, R. S. J.Sparks, Influence of cooling on lava‐flow dynamics, Geology, 21, 335–338, 1993. |
Библиографическая ссылка |
ten Brink, U. S., Volcano spacing and plate rigidity, Geology, 19, 397–400, 1991. |
Библиографическая ссылка |
Vogt, P. R., Volcano spacing, fractures, and thickness of the lithosphere, Earth Planet. Sci. Lett., 21, 235–252, 1974. |
Библиографическая ссылка |
Wessel, P., Observational constraints on models of the Hawaiian hot spot swell, J. Geophys. Res., 98, 16095–16104, 1993. |
Библиографическая ссылка |
White, W. M., A. R.McBirney, R. A.Duncan, Petrology and geochemistry of the Galápagos Islands: Portrait of a pathological mantle plume, J. Geophys. Res., 98, 19533–19563, 1993. |
Библиографическая ссылка |
Woodhead, J. D., Temporal geochemical evolution in oceanic intra‐plate volcanics: A case study from the Marquesas (French Polynesia) and comparison to other hotspots, Contrib. Mineral. Petrol., 111, 458–467, 1992. |