Enhancement of magma mixing efficiency by chaotic dynamics: An experimental study

Contributions to Mineralogy and Petrology

Volumn 161, Issue 6, 2011, Pages 863-881

  de Campos, Cristina P ^a   Perugini, Diego ^b   Ertel Ingrisch, Werner ^a   Dingwell, Donald B ^a   Poli, Giampiero ^b  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF PERUGIA   (Italy)

Author keywords

Chaotic dynamics; Experiments; Geochemical variation; Magma mixing; Uphill diffusion

Indexed keywords

CHAOTIC DYNAMICS; CHEMICAL ANALYSIS; CHEMICAL ELEMENT; DIFFUSION; EXPERIMENTAL STUDY; FLUID DYNAMICS; FRACTIONATION; GEOCHEMISTRY; IGNEOUS ROCK; MAGMA; MIXING; PETROGENESIS; PETROLOGY; VISCOSITY; VOLCANIC ERUPTION;

EID: 79955822408     PISSN: 00107999     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00410-010-0569-0     Document Type: Article

References (65)

1. Akonur A, Lueptow RM (2002) Chaotic mixing and transport in wavy Taylor-Couette flow. Phys D 167: 183-196.
2. Allègre CJ, Turcotte DL (1986) Implications of a two-component marble cake mantle. Nature 323: 123-127.
3. Aref H, El Naschie MS (1995) Chaos applied to fluid mixing. Pergamon Press, Reprinted from Chaos, Solutions and Fractals 4 Exeter.
4. Baker D (1990) Chemical interdiffusion of dacite and rhyolite: anhydrous measurements at 1 atm and 10 kbar, application of transition state theory, and diffusion in zoned magma chambers. Contrib Mineral Petrol 104: 407-423.
5. Bateman R (1995) The interplay between crystallization, replenishment and hybridization in large felsic magma chambers. Earth Sci Rev 39: 91-106.
6. Bergantz GW (2000) On the dynamics of magma mixing by reintrusion: implications for pluton assembly processes. J Struct Geol 22: 1297-1309.
7. Bindeman IN, Davis AM (1999) Convection and redistribution of alkalis and trace elements during the mingling of basaltic and rhyolitic melts. Petrology 7: 91-101.
8. Blundy JD, Sparks RSJ (1992) Petrogenesis of mafic inclusions in granitoids of the Adamello massif, Italy. J Petrol 33: 1039-1104.
9. Bunsen R (1851) Über die Prozesse der vulkanischen Gesteinsbildungen Islands. Ann Phys 83: 197-272.
10. Chakraborty S (1995) Diffusion in silicate melts. In: Stebbins JF, McMillan PF, Dingwell DB (eds) Structure, dynamics and properties of silicate melts. Rev Mineral 32: 411-503.
11. 2: II. Mechanisms, systematics, and geological applications. Geochim Cosmochim Acta 59: 265-277.
12. Christofides G, Perugini D, Koroneos A, Soldatos T, Poli G, Eleftheriadis G, Del Moro A, Neiva AM (2007) Interplay between geochemistry and magma dynamics during magma interaction: an example from the Sithonia Plutonic complex (NE Greece). Lithos 95: 243-266.
13. De Campos CP, Mendes J, Ludka I, de Medeiros S, de Moura JC, Wallfass C (2004a) A review of the Brasiliano magmatism in southern Espírito Santo, Brazil, with emphasis on post-collisional magmatism. In: Weinberg R, Trouw R, Fuck R, Hackspacher P (eds) The 750-550 Ma Brasiliano event of South America. J Virtual Explorer, Electronic Edition ISSN 1441-8142, 17: Paper 1.
14. De Campos CP, Dingwell DB, Fehr KT (2004b) Decoupled convection cells from mixing experiments with alkaline melts from Phlegrean Fields. Chem Geol 213: 227-251.
15. De Campos CP, Perugini D, Dingwell DB, Civetta L, Fehr TK (2008) Heterogeneities in Magma Chambers: insights from the behavior of major and minor elements during mixing experiments with natural alkaline melts. Chem Geol 256: 131-145.
16. De Campos CP, Ertel-Ingrisch W, Perugini D, Dingwell DB, Poli G (2010) Chaotic mixing in the system earth: mixing granitic and basaltic liquids. In: Skiadas CH, Dimotikalis I (eds) Chaotic systems: theory and applications, selected papers from the 2nd chaotic modeling and simulation international conference (CHAOS2009). Int Publ Com, pp 51-58.
17. De Rosa R, Donato P, Ventura G (2002) Fractal analysis of mingled/mixed magmas: an example from the Upper Pollara eruption (Salina Island, southern Tyrrhenian Sea, Italy). Lithos 65: 299-311.
18. Dingwell DB (1990) Effects of structural relaxation on cationic tracer diffusivities in silicate melts. Chem Geol 82: 209-216.
19. 2. Geochim Cosmochim Acta 51: 195-205.
20. 2 system and factors controlling relative viscosities of fully polymerized silicate melts. Geochim Cosmochim Acta 52: 395-403.
21. Dingwell DB, O'Neill HStC, Ertel W, Spettel B (1994) The solubility and Oxidation state of Ni in silicate melt at low oxygen fugacities: results using a mechanically assisted equilibration technique. Geochim Cosmochim Acta 58: 1967-1974.
22. Dingwell DB, Hess KU, Romano C (1998) Extremely fluid behavior of hydrous peralkaline rhyolites. Earth Planet Sci Lett 158: 31-38.
23. Eichelberger JC (1978) Andesitic volcanism and crustal evolution. Nature 275: 21-27.
24. Eichelberger JC (1980) Vesiculation of mafic magma during replenishment of silicic magma reservoirs. Nature 288: 446-450.
25. Flinders J, Clemens JD (1996) Non-linear dynamics, chaos, complexity and enclaves in granitoid magmas. Trans R Soc Edinburgh Earth Sci 87: 225-232.
26. Fourcade S, Allègre C (1981) Trace elements behavior in granite genesis: a case study: the calc-alkaline plutonic association from the Querigut Complex (Pyrénées, France). Contr Mineral Petrol 76: 177-195.
27. Galaktionov OS, Anderson PD, Peters GWM (2002) Structure development during chaotic mixing in the journal bearing flow. Phys Fluids 14: 3009-3017.
28. Giordano D, Russell JK, Dingwell DB (2008) Viscosity of magmatic liquids: A model. Earth Planet Sci Lett 271: 123-134.
29. Hofmann AW (1980) Diffusion in natural silicate melts: a critical review. In: Hargraves RB (ed) Physics of magmatic processes. Princeton University Press, Princeton 9: 385-417.
30. Huppert HE, Sparks RS (1984) Double-diffusive convection due to crystallization in magmas. Am Rev Earth Planet Sci 12: 11-37.
31. Janoušek V, Bowes DR, Rogers G, Farrow CM, Jellinek E (2000) Modelling diverse processes in the petrogenesis of a composite batholith: the Central Bohemian Pluton, Central European Hercynides. J Petrol 41: 511-543.
32. Jellinek AM, Kerr RC, Griffiths RW (1999) Mixing and compositional stratification produced by natural convection. 1. Experiments and their application to earth's core and mantle. J Geoph Res 104: 7183-7201.
33. Kouchi A, Sunagawa I (1984) A model for mixing basaltic and dacitic magmas as deduced from experimental data. Contrib Mineral Petrol 89: 17-23.
34. Kratzmann DJ, Carey S, Scasso R, Naranjo JA (2009) Compositional variations and magma mixing in the 1991 eruptions of Hudson volcano. Chile Bull Volcanol 71: 419-439.
35. Lange RA, Carmichael ISE (1987) Densities of Na2O-K2O-CaO-MgO-FeO-Fe2O3-Al2O3-TiO2-SiO2 liquids: new measurements and derived partial molar properties. Geochim Cosmochim Acta 51: 2931-2946.
36. Langmuir CH, Vocke RDJ, Hanson GM, Hart SR (1978) A general mixing equation with application to the Icelandic Basalts. Earth Planet Sci Lett 37: 380-392.
37. Lautze NC, Houghton BF (2007) Linking variable explosion style and magma textures during 2002 at Stromboli volcano, Italy. Bull Volcanol 69: 445-460.
38. Leonard G, Cole J, Nairn I, Self S (2002) Basalt triggering of the c. AD 1305 Kaharoa rhyolite eruption, Tarawera Volcanic Complex, New Zealand. J Volcanol Geotherm Res 115: 461-486.
39. Liu M, Peskin RL, Muzzio FJ, Leong CW (1994) Structure of the stretching field in chaotic cavity flows. Am Inst Chem Eng J 40: 1273-1286.
40. Mungall J, Dingwell DB (1997) Actinide tracer diffusion in a haplogranitic melt. Geochim Cosmochim Acta 61: 2237-2246.
41. Murphy MD, Sparks RSJ, Barclay J, Carroll MR, Lejeune AM, Brewer TS, Macdonald R, Black S, Young S (1998) The Role of Magma Mixing in Triggering the Current Eruption at the Soufriere Hills Volcano, Montserrat, West Indies. Geophys Res Lett 25: 3433-3436.
42. Muzzio FJ, Meneveau C, Swanson PD, Ottino JM (1992) Scaling and multifractal properties of mixing in chaotic flows. Phys Fluids A4: 1439-1456.
43. Oldenburg CM, Spera FJ, Yuen DA, Sewell G (1989) Dynamic mixing in magma bodies: theory, simulations and implications. J Geophys Res 94: 9215-9236.
44. Ott E, Antonsen TM Jr (1989) Chaotic fluid convection and the fractal nature of passive scalar gradients. Phys Rev Lett 61: 2839-2842.
45. Ottino JM (1989a) The kinematics of mixing: stretching, chaos and transport. Cambridge University Press, Cambridge.
46. Ottino JM (1989b) The mixing of fluids. Sci Am 260: 56-67.
47. Ottino JM, Leong CW, Rising H, Swanson PD (1988) Morphological structures produced by mixing in chaotic flows. Nature 333: 419-425.
48. Perugini D, Poli G, Mazzuoli R (2003) Chaotic advection, fractals and diffusion during mixing of magmas: evidence from lava flows. J Volcanol Geotherm Res 124: 255-279.
49. Perugini D, Ventura G, Petrelli M, Poli G (2004) Kinematic significance of morphological structures generated by mixing of magmas: a case study from Salina Island (Southern Italy). Earth Planet Sci Lett 222: 1051-1066.
50. Perugini D, Petrelli M, Poli G (2006) Diffusive fractionation of trace elements by chaotic mixing of magmas. Earth Planet Sci Lett 243: 669-680.
51. Perugini D, De Campos CP, Dingwell DB, Petrelli M, Poli G (2008) Trace element mobility during magma mixing: preliminary experimental results. Chem Geol 256: 146-157.
52. Petrelli M, Perugini D, Poli G (2006) Time-scales of hybridisation of magmatic enclaves in regular and chaotic flow fields: petrologic and volcanologic implications. Bull Volcanol 68: 285-293.
53. Poli G, Perugini D (2002) Strange attractors in magmas: evidence from lava flows. Lithos 65: 287-297.
54. Pouchou L, Pichoir F (1984) A new model for quantitative X-ray microanalysis: Part I: Applications to the analysis of homogeneous samples. Rech Aerosp 3: 13-38.
55. Roeder PL (1974) Activity of Iron and Olivine solubility in Basaltic liquids. Earth Planet Sci Lett 23: 397-410.
56. Snyder D, Tait SR (1998) The imprint of basalt on the geochemistry of silicic magmas. Earth Planet Sci Lett 160: 433-445.
57. Solgadi F, Moyen JF, Vanderhaeghe O, Sawyer EW, Reisberg L (2007) The role of crustal anatexis and mantle-derived magmas in the genesis of synorogenic Hercynian granites of the Livradois area, French Massif Central. Can Min 45: 581-606.
58. Sparks SRJ, Marshall LA (1986) Thermal and mechanical constraints on mixing between mafic and silicic magmas. J Volcanol Geotherm Res 29: 99-124.
59. Sparks SRJ, Sigurdsson H, Wilson L (1977) Magma mixing: a mechanism for triggering acid explosive eruptions. Nature 267: 315-318.
60. Swanson PD, Ottino JM (1990) A comparative computational and experimental study of chaotic mixing of viscous fluids. J Fluid Mech 213: 227-249.
61. Toramaru A, Takazawa E, MOrishita T, Matsukage K (2001) Model of layering formation in the mantle peridotite (Horoman, Hokkaido, Japan). Earth Planet Sci Lett 185: 299-313.
62. Watson BE, Jurewicz SR (1984) Behavior of alkalies during diffusive interaction of granitic xenoliths with basaltic magma. J Geol 92: 121-131.
63. Welander P (1955) Studies on the general development of motion in a two dimensional, ideal fluid. Tellus 7: 141-156.
64. Wiebe RA (1994) Silicic magma chambers as traps for basaltic magmas: the Cadillac mountain intrusive complex, Mount Desert island, Maine. J Geol 102: 423-427.
65. Wilson M (1989) Igneous petrogenesis. Kluwer, Dordrecht.