Interfacial turbulent mixing in stratified magma reservoirs

Journal of Volcanology and Geothermal Research

Volumn 73, Issue 3-4, 1996, Pages 157-175

  Cardoso, Silvana S S ^a,b   Woods, Andrew W ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; COMPOSITION; HEAT CONVECTION; HEAT FLUX; MATHEMATICAL MODELS; MELTING; MOLTEN MATERIALS; THERMODYNAMIC STABILITY; TURBULENT FLOW; VISCOSITY; VOLCANIC ROCKS;

INTERFACIAL TURBULENT MIXING; MAGMA CHAMBERS; MOLTEN MAGMAS; RAYLEIGH NUMBER; STRATIFIED MAGMA RESERVOIRS; THERMAL BUOYANCY FLUX; TURBULENT ENTRAINMENT;

UNDERGROUND RESERVOIRS;

BUOYANCY FLUX; INTERFACIAL MIXING; MAGMA CHAMBER; STRATIFICATION; TURBULENT MIXING;

EID: 0030265295     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0273(96)00028-5     Document Type: Article

References (59)

1. Anderson, A.T., 1991. Hourglass Inclusions: Theory and application to the Bishop Rhyolite Tuff. Am. Mineral., 76: 530-547.
2. Bacon, C.R., 1986. Magmatic inclusions in silicic and intermediate volcanic rocks. J. Geophys. Res., 91: 6091-6112.
3. Ball, F.K., 1960. Control of inversion height by surface heating. Q. J. R. Meteorol. Soc., 86: 483-494.
4. Betts, A.K., 1973. Non-precipitating cumulus convection and its parametrization. Q. J. R. Meteorol. Soc., 99: 178-196.
5. Blake, S. and Campbell, I., 1986. The dynamics of magma-mixing during flow in volcanic conduits. Contrib. Mineral. Petrol., 94: 72-81.
6. Bond, A. and Sparks, R.S.J., 1976. The Minoan eruption of Santorini, Greece. J. Geol. Soc. London, 132: 1-16.
7. Campbell, I.H. and Turner, J.S., 1985. Turbulent mixing between fluids with different viscosities. Nature, 313: 39-42.
8. Campbell, I.H. and Turner, J.S., 1986. Magma chambers. J. Petrol., 27: 1-29.
9. Cardoso S.S.S. and Woods, A.W., 1995. On convection and mixing driven by sedimentation. J. Fluid Mech., 285: 165-180.
10. Carey, S. and Sigurdsson, H., 1985. The May 18, 1980 eruption of Mount St. Helens. 2, Modeling of the dynamics of the plinian phase. J. Volcanol. Geotherm. Res., 90: 2948-2958.
11. Carson, D.J. and Smith, F.B., 1974. Thermodynamic model for the development of a convectively unstable boundary layer. Adv. Geophys., 18A: 111-124.
12. Crapper, P.F., 1975. Measurements across a diffusive interface. Deep-Sea Res., 22: 537-545.
13. Crapper, P.F., 1976. Fluxes of heat and salt across a diffusive interface in the presence of grid generated turbulence. Int. J. Heat Mass Transfer, 19: 1371-1378.
14. Crapper, P.F. and Linden, P.F., 1974. The structure of turbulent density interfaces. J. Fluid Mech., 65: 45-63.
15. Davaille, A., 1994. 3-D Thermal convection in a mantle layered in density and viscosity. 20th IUGG Mathematical Geophys. Meet., Villefranche sur Mer.
16. Deardorff, J.W. and Willis, G.E., 1985. Further results from a laboratory model of the convective planetary boundary layer. Boundary-Layer Meteorol., 32: 205-236.
17. Deardorff, J.W., Willis, G.E. and Stockton, B.H., 1980. Laboratory studies of the entrainment zone of a convectively mixed layer. J. Fluid Mech., 100: 41-64.
18. Denton, R.A. and Wood, I.R., 1981. Penetrative convection at low Peclet number. J. Fluid Mech., 113: 1-21.
19. E, X. and Hopfinger, E.J., 1986. On mixing across an interface in a stably stratified fluid. J. Fluid Mech., 166: 227-244.
20. Eichelberger, J.C., 1975. Origin of andesite and dacite: Evidence of mixing at Glass Mountain in CA and at other circum-Pacific volcanoes. Geol. Soc. Am. Bull., 86: 1381-1391.
21. Fernando, H.J.S., 1989. Buoyancy transfer across a diffusive interface. J. Fluid Mech., 209: 1-34.
22. Fernando, H.J.S., 1991. Turbulent mixing in stratified fluids. Annu, Rev. Fluid Mech., 23: 455-493.
23. Frost, T.P. and Mahood, G.A., 1987. Field, chemical and physical constraints on mafic-felsic magma interaction in the Lamarck Granodiorite, Sierra Nevada, California. Geol. Soc. Am. Bull., 99: 272-291.
24. Huppert, H.E. and Sparks, R.S.J., 1980. The fluid dynamics of a basaltic magma chamber replenished by influx of hot, dense ultrabasic magma. Contrib. Mineral. Petrol., 75: 279-289.
25. Huppert, H.E. and Sparks, R.S.J., 1988a. Melting of the roof of a chamber containing a hot, turbulently convecting fluid. J. Fluid Mech., 188: 107-131.
26. Huppert, H.E. and Sparks, R.S.J., 1988b. The generation of granitic magmas by intrusion of basaltic melts into the continental crust. J. Petrol., 29: 599-624.
27. Huppert, H.E., Sparks, R.S.J. and Turner, J.S., 1982. Effects of volatiles on mixing in calc-alkaline magma systems. Nature, 297: 554-557.
28. Huppert, H.E., Sparks, R.S.J. and Turner, J.S., 1984. Some effects of viscosity on the dynamics of replenished magma chambers. J. Geophys. Res., 89: 6857-6877.
29. Huppert, H.E., Kerr, R.C., Lister, J.R. and Turner, J.S., 1991. Convection and particle entrainment driven by differential sedimentation. J. Fluid Mech., 226: 349-369.
30. Kantha, L.H., 1979. On penetrative convection in the laboratory. Ocean Modelling, 25: 8-9.
31. Kantha, L.H., Phillips, O.M. and Azad, R.S., 1977. On turbulent entrainment at a stable density interface. J. Fluid Mech., 79: 753-768.
32. Kerr, R.C., 1994. Melting driven by vigorous compositional convection. J. Fluid Mech., 280: 255-285.
33. Kerr, R.C., Woods, A.W., Worster, M.G. and Huppert, H.E., 1989. Disequilibrium and macrosegragation during solidification of a binary melt. Nature, 340: 357-362.
34. Kimura, R., 1988. Cell formation in the convective mixed layer. Fluid Dyn. Res., 3: 395-399.
35. Koyaguchi, T., 1985. Magma mixing in a conduit. J. Volcanol. Geotherm. Res., 25: 365-369.
36. Koyaguchi, T. and Blake, S., 1989. The dynamics of magma mixing in a rising batch. Bull. Volcanol., 52: 127-137.
37. Koyaguchi, T., Hallworth, M.A., Huppert, H.E. and Sparks, R.S.J., 1990. Sedimentation of particles from a convecting fluid. Nature, 343: 447-450.
38. Lister, J.R., 1995. On penetrative convection at low Peclet number. J. Fluid Mech., 292: 229-248.
39. Linden, P.F., 1974. A note on the transport across a diffusive interface. Deep-Sea Res., 21: 283-287.
40. Linden, P.F. and Shirtcliffe, T.G.L., 1978. The diffusive interface in double-diffusive convection. J. Fluid Mech., 87: 417-432.
41. Manins, P.C. and Turner, J.S., 1978. The relation between the flux ratio and energy ratio in convectively mixed layers. Q. J. R. Soc., 104: 39-44.
42. Marmorino, G.O. and Caldwell, D.R., 1976. Heat and salt transport through a diffusive thermohaline interface. Deep-Sea Res., 23: 59-67.
43. McDougall, T.J., 1984, Sulphide deposits from hot saline fluid. Deep-Sea Res., 31: 145-170.
44. Michael, P.J., 1991. Intrusion of basaltic magma into a crystallizing granitic magma chamber: The Cordillera del Paine pluton in southern Chile. Contrib. Mineral. Petrol., 108: 396-418.
45. Oldenburg, C.M., Spera, F.J., Yuen, D.A. and Sewell, G., 1989. Dynamic mixing in magma bodies:theory, simulations and implications. J. Geophys. Res., 94: 9215-9236.
46. Shirtcliffe, T.G.L., 1973. Transport and profile measurements of the diffusive interface in double diffusive convection with similar diffusivities. J. Fluid Mech., 57: 27-43.
47. Sigurdsson, H., Cornell, W. and Carey, S., 1990. Influence of magma withdrawal on compositional gradients during the AD79 Vesuvius eruption. Nature, 345: 519-521.
48. Sparks, R.S.J. and Huppert, H.E., 1984. Density changes during fractional crystallization of basaltic magmas: fluid dynamic implications. Contrib. Mineral. Petrol., 85: 300-309.
49. Sparks, R.S.J. and Marshall, L., 1986. Thermal and mechanical constraints on the mixing between mafic and silicic magmas. J. Volcanol. Geotherm. Res., 29: 99-124.
50. Sparks, R.S.J., Sigurdsson, H. and Wilson, L., 1977. Magma mixing: a mechanism for triggering acid explosive eruptions. Nature, 267: 315-318.
51. Sparks, R.S.J., Huppert, H.E. and Turner, J.S., 1984. The fluid dynamics of evolving magma chambers. Philos. Trans. R. Soc. London, Ser. A, 310: 511-534.
52. Taylor, J., 1988. The fluxes across a diffusive interface at low values of the density ratio. Deep-Sea Res., 35: 555-567.
53. Trial, A.F. and Spera, F.J., 1990. Mechanisms for the generation of compositional heterogeneities in magma chambers. Geol. Soc. Am. Bull., 102: 353-367.
54. Thomas, N., Tait, S., Koyaguchi, T., 1993. Mixing of stratified liquids by the motion of small bubbles. Earth Planet. Sci. Lett., 115: 161-175.
55. Turner, J.S., 1968. The influence of molecular diffusivity on turbulent entrainment across a density interface. J. Fluid Mech., 33: 639-656.
56. Turner, J.S., 1979. Buoyancy effects in Fluids. Cambridge Univ. Press, pp. 288-312.
57. Turner, J.S. and Campbell, I.H., 1986. Convection and mixing in magma chambers. Earth-Sci. Rev., 23: 255-352.
58. Wiebe, R.A., 1993. The Pleasant Bay layered gabbro-diorite, coastal maine: ponding and crystallization of basaltic injections into a silicic magma chamber. J. Petrol., 34: 461-489.
59. Zilitinkevich, S.S., 1991. Turbulent penetrative convection. Avebury Tech., pp. 1-77.