Skip to main content
Log in

Time evolution of chemical exchanges during mixing of rhyolitic and basaltic melts

  • Original Paper
  • Published:
Contributions to Mineralogy and Petrology Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Anderson AT (1976) Magma mixing: petrological process and volcanological tool. J Volcanol Geotherm Res 1:3–33

    Article  Google Scholar 

  • Anderson DL (1982) Isotopic evolution of the mantle: the role of magma mixing. Earth Planet Sci Lett 57(1):1–12

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Bateman R (1995) The interplay between crystallization, replenishment and hybridisation in large felsic magma chambers. Earth Sci Rev 39:91–106

    Article  Google Scholar 

  • Behrens H, Hahn M (2009) Trace element diffusion and viscous flow in potassium-rich trachytic and phonolitic melts. Chem Geol 259:63–77

    Article  Google Scholar 

  • Bonnichsen B (1982) Rhyolite lava flows in the Bruneau–Jarbidge eruptive center, southwestern Idaho. Idaho Bur Mines Geol Bull 26:283–320

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Crank J (1975) The mathematics of diffusion. Clarendon, Oxford

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • Flinders J, Clemens JD (1996) Non-linear dynamics, chaos, complexity and enclaves in granitoid magmas. Trans R Soc Edinb Earth Sci 87:225–232

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Hibbard MJ (1981) The magma mixing origin of mantled feldspar. Contrib Mineral Petrol 76:158–170

    Article  Google Scholar 

  • Hibbard MJ (1995) Petrography to petrogenesis. Prentice Hall, Englewood Cliffs, p 587

  • Jain AK (1989) Fundamentals of digital image processing. Prentice-Hall, New Jersey

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Kuo C, Cabarcos EL, Scala A, Bansil R (1997) Kinetics of spatially confined precipitation and periodic pattern formation. Phys A 239:390–403

    Article  Google Scholar 

  • Liu W, Haller G (2004) Strange eigenmodes and decay of variance in the mixing of diffusive tracers. Physica D 188:1–39

    Article  Google Scholar 

  • Liu M, Muzzio FJ, Peskin RL (1994) Quantification of mixing in aperiodic chaotic flows. Chaos, Solitons Fractals 4:869–893

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Mungall JE (2002) Empirical models relating viscosity and tracer diffusion in magmatic silicate melts. Geochim Cosmochim Acta 66:125–143

    Article  Google Scholar 

  • Mungall JE, Dingwell DB, Chaussidon M (1999) Chemical diffusivities of 18 trace elements in granitoid melts. Geochim Cosmochim Acta 63:2599–2610

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Perugini D, Poli G (2012) The mixing of magmas in plutonic and volcanic environments: analogies and differences. Lithos 153:261–277

    Article  Google Scholar 

  • Perugini D, Poli G, Gatta G (2002) Analysis and simulation of magma mixing processes in 3D. Lithos 65:313–330

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Perugini D, Petrelli M, Poli G (2006) Diffusive fractionation of trace elements by chaotic mixing of magmas. Earth Planet Sci Lett 243:669–680

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • Rothstein D, Henry E, Gollub JP (1999) Persistent patterns in transient chaotic fluid mixing. Nature 401:770–772

    Article  Google Scholar 

  • Shannon RD (1976) Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr A A32:751–767

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Watson EB (1976) Two-liquid partition coefficients: experimental data and geochemical implications. Contrib Mineral Petrol 56:119–134

    Article  Google Scholar 

  • Watson EB, Jurewicz SR (1984) Behavior of alkalies during diffusive interaction of granitic xenoliths with basaltic magma. J Geol 92:121–131

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Zhang Y, Cherniak DJ (eds) (2010) Diffusion in minerals and melts. Reviews in mineralogy and geochemistry, vol 72. Mineralogical Society of America, Chantilly, VA

Download references

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

Authors

Corresponding author

Correspondence to Daniele Morgavi.

Additional information

Communicated by T. L. Grove.

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00410-013-0894-1

Keywords

Navigation