Abstract
We present the first set of chaotic mixing experiments performed using natural basaltic and rhyolitic melts. The mixing process is triggered by a recently developed apparatus that generates chaotic streamlines in the melts, mimicking the development of magma mixing in nature. The study of the interplay of physical dynamics and chemical exchanges between melts is carried out performing time series mixing experiments under controlled chaotic dynamic conditions. The variation of major and trace elements is studied in detail by electron microprobe and Laser Ablation ICP-MS. The mobility of each element during mixing is estimated by calculating the decrease in the concentration variance in time. Both major and trace element variances decay exponentially, with the value of exponent of the exponential function quantifying the element mobility. Our results confirm and quantify how different chemical elements homogenize in the melt at differing rates. The differential mobility of elements in the mixing system is considered to be responsible for the highly variable degree of correlation (linear, nonlinear, or scattered) of chemical elements in many published inter-elemental plots. Elements with similar mobility tend to be linearly correlated, whereas, as the difference in mobility increases, the plots become progressively more nonlinear and/or scattered. The results from this study indicate that the decay of concentration variance is in fact a robust tool for obtaining new insights into chemical exchanges during mixing of silicate melts. Concentration variance is (in a single measure) an expression of the influence of all possible factors (e.g., viscosity, composition, and fluid dynamic regime) controlling the mobility of chemical elements and thus can be an additional petrologic tool to address the great complexity characterizing magma mixing processes.
Similar content being viewed by others
References
Anderson AT (1976) Magma mixing: petrological process and volcanological tool. J Volcanol Geotherm Res 1:3–33
Anderson DL (1982) Isotopic evolution of the mantle: the role of magma mixing. Earth Planet Sci Lett 57(1):1–12
Aref H, El-Naschie MS (1995) Chaos applied to fluid mixing. Pergamon Press Reprinted from Chaos Solitions and Fractals 4(6)
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
Baker D (1991) Interdiffusion of hydrous dacitic and rhyolitic melts and the efficacy of rhyolite contamination of dacitic enclaves. Contrib Mineral Petrol 106:462–473
Bateman R (1995) The interplay between crystallization, replenishment and hybridisation in large felsic magma chambers. Earth Sci Rev 39:91–106
Behrens H, Hahn M (2009) Trace element diffusion and viscous flow in potassium-rich trachytic and phonolitic melts. Chem Geol 259:63–77
Bonnichsen B (1982) Rhyolite lava flows in the Bruneau–Jarbidge eruptive center, southwestern Idaho. Idaho Bur Mines Geol Bull 26:283–320
Cathey HE, Nash BP (2009) Pyroxene thermometry of rhyolite lavas of the Bruneau–Jarbidge eruptive center, Central Snake River Plain. J Volcanol Geotherm Res 188:173–185
Clifford MJ, Cox SM, Robert EPL (1998) Lamellar modelling of reaction, diffusion and mixing in a two-dimensional flow. Chem Eng J 71:49–56
Clifford MJ, Cox SM, Robert EPL (1999) Reaction and diffusion in a lamellar structure: the effect of the lamellar arrangement upon yield. Phys A 262:294–306
Crank J (1975) The mathematics of diffusion. Clarendon, Oxford
De Campos CP, Dingwell DB, Fehr KT (2004) Decoupled convection cells from mixing experiments with alkaline melts from Phlegrean Fields. Chem Geol 213:227–251
De Campos CP, Dingwell DB, Perugini D, Civetta L, Fehr TK (2008) Heterogeneities in magma chambers: insight from the behaviour of major and minor elements during mixing experiments with natural alkaline melts. Chem Geol 256:131–145
De Campos CP, Perugini D, Ertel-Ingrisch W, Dingwell DB, Poli G (2011) Enhancement of magma mixing efficiency by chaotic dynamics: an experimental study. Contrib Mineral Petrol 161:863–881
De Rosa R, Mazzuoli R, Ventura G (1996) Relationships between deformation and mixing processes in lava flows: a case study from Salina (Aeolian Islands, Tyrrhenian Sea). Bull Volcanol 58:286–297
Didier J, Barbarin B (1991) Enclaves and granite petrology. Developments in petrology 13. Elsevier, Amsterdam, p 625
Dingwell D (1986) Viscosity–temperature relationships in the system Na2Si2O5–Na4Al2O5. Geochim Cosmochim Acta 50:1261–1265
Flinders J, Clemens JD (1996) Non-linear dynamics, chaos, complexity and enclaves in granitoid magmas. Trans R Soc Edinb Earth Sci 87:225–232
Fourcade S, Allegre CJ (1981) Trace element behaviour in granite genesis: a case study the calc-alkaline plutonic association from the Querigut Complex (Pyrenees France). Contrib Mineral Petrol 76:177–195
Hibbard MJ (1981) The magma mixing origin of mantled feldspar. Contrib Mineral Petrol 76:158–170
Hibbard MJ (1995) Petrography to petrogenesis. Prentice Hall, Englewood Cliffs, p 587
Jain AK (1989) Fundamentals of digital image processing. Prentice-Hall, New Jersey
Janoušek V, Bowes DR, Rogers G, Farrow CM, Jelínek E (2000) Modelling diverse processes in the petrogenesis of a composite batholith: the Central Bohemian Pluton, Central European Hercynides. J Petrol 41:511–543
Jochum KP, Dingwell DB, Rocholl A, Stoll B, Hofmann AW et al (2000) The preparation and preliminary characterisation of eight geological MPI-DING reference glasses for in situ microanalysis. Geostand Newsl 24:87–133
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
Kuo C, Cabarcos EL, Scala A, Bansil R (1997) Kinetics of spatially confined precipitation and periodic pattern formation. Phys A 239:390–403
Liu W, Haller G (2004) Strange eigenmodes and decay of variance in the mixing of diffusive tracers. Physica D 188:1–39
Liu M, Muzzio FJ, Peskin RL (1994) Quantification of mixing in aperiodic chaotic flows. Chaos, Solitons Fractals 4:869–893
Makridakis S, Wheelwright S, Hyndman R (1998) Forecasting: methods and applications, 3rd edn. Wiley, New York
Mathew G, Mezic I, Grivopoulos S, Vaidya U, Petzold L (2007) Optimal control of mixing in Stokes fluid flows. J Fluid Mech 580:261–281
Morgavi D, Perugini D, De Campos CP, Ertl-Ingrisch W, Lavallée Y, Morgan L, Dingwell DB (2013) Interactions between rhyolitic and basaltic melts unraveled by chaotic magma mixing experiments. Chem Geol 346:199–212
Mungall JE (2002) Empirical models relating viscosity and tracer diffusion in magmatic silicate melts. Geochim Cosmochim Acta 66:125–143
Mungall JE, Dingwell DB, Chaussidon M (1999) Chemical diffusivities of 18 trace elements in granitoid melts. Geochim Cosmochim Acta 63:2599–2610
Nakamura E, Kushiro I (1998) Trace element diffusion in jadeite and diopside melts at high pressures and its geochemical implication. Geochim Cosmochim Acta 62:3151–3160
Ottino JM (1989) The kinematics of mixing: stretching, chaos and transport. Cambridge University Press, Cambridge
Perugini D, Poli G (2004) Analysis and numerical simulation of chaotic advection and chemical diffusion during magma mixing: petrological implications. Lithos 78:43–66
Perugini D, Poli G (2005) Viscous fingering during replenishment of felsic magma chambers by continuous inputs of mafic magmas: field evidence and fluid-mechanics experiments. Geology 33:5–8
Perugini D, Poli G (2012) The mixing of magmas in plutonic and volcanic environments: analogies and differences. Lithos 153:261–277
Perugini D, Poli G, Gatta G (2002) Analysis and simulation of magma mixing processes in 3D. Lithos 65:313–330
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
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
Perugini D, Petrelli M, Poli G (2006) Diffusive fractionation of trace elements by chaotic mixing of magmas. Earth Planet Sci Lett 243:669–680
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
Petrelli M, Perugini D, Poli G (2011) Transition to chaos and implications for time-scales of magma hybridization during mixing processes in magma chambers. Lithos 125:211–220
Pierrehumbert R T (1995) Tracer microstructures in the large-eddy dominated regime. In: Aref H, El Naschie MS (Eds) Chaos applied to fluid mixing, chaos, solitons fractals, vol 4(6). Pergamon Press, Exeter G.B. Reprinted from
Poli G, Perugini D (2002) Strange attractors in magmas: evidence from lava flows. Lithos 65:287–297
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
Rothstein D, Henry E, Gollub JP (1999) Persistent patterns in transient chaotic fluid mixing. Nature 401:770–772
Shannon RD (1976) Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr A A32:751–767
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 Mineral 45:581–606
Strogatz SH (1994) Nonlinear dynamics and chaos. Addison-Wesley, Reading, p 498
Wada K (1995) Fractal structure of heterogeneous ejecta from the Me-akan volcano, eastern Hokkaido, Japan: implications for mixing mechanism in a volcanic conduit. J Volcanol Geotherm Res 66:69–79
Watson EB (1976) Two-liquid partition coefficients: experimental data and geochemical implications. Contrib Mineral Petrol 56:119–134
Watson EB, Jurewicz SR (1984) Behavior of alkalies during diffusive interaction of granitic xenoliths with basaltic magma. J Geol 92:121–131
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
Zhang Y, Cherniak DJ (eds) (2010) Diffusion in minerals and melts. Reviews in mineralogy and geochemistry, vol 72. Mineralogical Society of America, Chantilly, VA
Acknowledgments
This research was primarily funded by the ICDP program number DFG Project Di431/31-1, AOBJ: 564369. We thank Dr. Hans-Michael Seitz for the help in doing the LA-ICP-MS measurements. D. Perugini acknowledges research grants from the University of Perugia, MIUR, and the A.v.Humboldt Foundation (Germany) that awarded him a Humboldt Fellowship at the LMU (Munich, Germany). D.B. Dingwell acknowledges the support of a research professorship (LMUexcellent) of the Bundesexzellenzinitiative as well as an ERC Advanced Grant (247076 EVOKES). D. Morgavi thanks Angelo loffredi for all the support during these years.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by T. L. Grove.
Rights and permissions
About this article
Cite this article
Morgavi, D., Perugini, D., De Campos, C.P. et al. Time evolution of chemical exchanges during mixing of rhyolitic and basaltic melts. Contrib Mineral Petrol 166, 615–638 (2013). https://doi.org/10.1007/s00410-013-0894-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00410-013-0894-1