Skip to main content
Log in

Timescales of mixing and mobilisation in the Bishop Tuff magma body: perspectives from diffusion chronometry

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

Abstract

We present two-feldspar thermometry and diffusion chronometry from sanidine, orthopyroxene and quartz from multiple samples of the Bishop Tuff, California, to constrain the temperature stratification within the pre-eruptive magma body and the timescales of magma mixing prior to its evacuation. Two-feldspar thermometry yields estimates that agree well with previous Fe–Ti oxide thermometry and gives a ~80 °C temperature difference between the earlier- and later-erupted regions of the magma chamber. Using the thermometry results, we model diffusion of Ti in quartz, and Ba and Sr in sanidine as well as Fe–Mg interdiffusion in orthopyroxene to yield timescales for the formation of overgrowth rims on these crystal phases. Diffusion profiles of Ti in quartz and Fe–Mg in orthopyroxene both yield timescales of <150 years for the formation of overgrowth rims. In contrast, both Ba and Sr diffusion in sanidine yield nominal timescales 1–2 orders of magnitude longer than these two methods. The main cause for this discrepancy is inferred to be an incorrect assumption for the initial profile shape for Ba and Sr diffusion modelling (i.e. growth zoning exists). Utilising the divergent diffusion behaviour of Ba and Sr, we place constraints on the initial width of the interface and can refine our initial conditions considerably, bringing Ba and Sr data into alignment, and yielding timescales closer to 500 years, the majority of which are then within uncertainty of timescales modelled from Ti diffusion in quartz. Care must be thus taken when using Ba in sanidine geospeedometry in evolved magmatic systems where no other phases or elements are available for comparative diffusion profiling. Our diffusion modelling reveals piecemeal rejuvenation of the lower parts of the Bishop Tuff magma chamber at least 500 years prior to eruption. Timescales from our mineral profiling imply either that diffusion coefficients currently used are uncertain by 1–2 orders of magnitude, or that the minerals concerned did not experience a common history, despite being extracted from the same single pumice clasts. Introduction of the magma initiating crystallisation of the contrasting rims on sanidine, quartz, orthopyroxene and zircon was prolonged, and may be a marker of other processes that initiated the Bishop Tuff eruption rather than the trigger itself.

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.

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

Similar content being viewed by others

References

  • Allan ASR, Wilson CJN, Millet M-A, Wysoczanski RJ (2012) The invisible hand: tectonic triggering and modulation of a rhyolitic supereruption. Geology 40:563–566

    Article  Google Scholar 

  • Allan ASR, Morgan DJ, Wilson CJN, Millet M-A (2013) From mush to eruption in centuries: assembly of the super-sized Oruanui magma body. Contrib Mineral Petrol 166:143–164

    Article  Google Scholar 

  • Anderson AT, Davis AM, Lu F (2000) Evolution of Bishop Tuff rhyolitic magma based on melt and magnetite inclusions and zoned phenocrysts. J Petrol 41:449–473

    Article  Google Scholar 

  • Arienzo I, Heumann A, Wörner G, Civetta L, Orsi G (2011) Processes and timescales of magma evolution prior to the Campanian Ignimbrite eruption (Campi Flegrei, Italy). Earth Planet Sci Lett 306:217–228

    Article  Google Scholar 

  • Bailey RA, Dalrymple GB, Lanphere MA (1976) Volcanism, structure, and geochronology of Long Valley caldera, Mono County, California. J Geophys Res 81:725–744

    Article  Google Scholar 

  • Bindeman IN, Valley JW (2002) Oxygen isotope study of the Long Valley magmatic system, California: isotope thermometry and convection in large silicic magma bodies. Contrib Mineral Petrol 144:185–205

    Article  Google Scholar 

  • Blundy J, Cashman KV, Rust A, Witham F (2010) A case for CO2-rich arc magmas. Earth Planet Sci Lett 290:289–301

    Article  Google Scholar 

  • Buddington AF, Lindsley DH (1964) Iron-titanium oxide minerals and synthetic equivalents. J Petrol 5:310–357

    Article  Google Scholar 

  • Caricchi L, Annen C, Blundy J, Simpson G, Pinel V (2014) Frequency and magnitude of volcanic eruptions controlled by magma injection and buoyancy. Nat Geosci 7:126–130

    Article  Google Scholar 

  • Chamberlain KJ, Wilson CJN, Wooden JL, Charlier BLA, Ireland TR (2014) New perspectives on the Bishop Tuff from zircon textures, ages and trace elements. J Petrol 55:395–426

    Article  Google Scholar 

  • Cherniak DJ (1996) Strontium diffusion in sanidine and albite, and general comments on Sr diffusion in alkali feldspars. Geochim Cosmochim Acta 60:5037–5043

    Article  Google Scholar 

  • Cherniak DJ (2002) Ba diffusion in feldspar. Geochim Cosmochim Acta 66:1641–1650

    Article  Google Scholar 

  • Cherniak DJ (2010) Cation diffusion in feldspars. Rev Mineral Geochem 72:691–733

    Article  Google Scholar 

  • Cherniak DJ, Watson EB (1992) A study of strontium diffusion in K-feldspar, Na-K feldspar and anorthite using Rutherford backscattering spectroscopy. Earth Planet Sci Lett 113:411–425

    Article  Google Scholar 

  • Cherniak DJ, Watson EB, Wark DA (2007) Ti diffusion in quartz. Chem Geol 236:65–74

    Article  Google Scholar 

  • Christensen JN, Halliday AN (1996) Rb-Sr ages and Nd isotopic compositions of melt inclusions from the Bishop Tuff and the generation of silicic magma. Earth Planet Sci Lett 144:547–561

    Article  Google Scholar 

  • Costa F, Dungan M (2005) Short time scales of magmatic assimilation from diffusion modeling of multiple elements in olivine. Geology 33:837–840

    Article  Google Scholar 

  • Costa F, Morgan D (2010) Time constraints from chemical equilibration in magmatic crystals. In: Dosseto A, Turner SP, Van Orman JA (eds) Timescales of magmatic processes: from core to atmosphere. Wiley, Chichester, pp 125–159

    Chapter  Google Scholar 

  • Costa F, Chakraborty S, Dohmen R (2003) Diffusion coupling between trace and major elements and a model for calculation of magma residence times using plagioclase. Geochim Cosmochim Acta 67:2189–2200

    Article  Google Scholar 

  • Crank J (1975) The mathematics of diffusion, 2nd edn. Oxford University Press, Oxford, 414 pp

  • Davies GR, Halliday AN (1998) Development of the Long Valley rhyolitic magma system: strontium and neodymium isotope evidence from glasses and individual phenocrysts. Geochim Cosmochim Acta 62:3561–3574

    Article  Google Scholar 

  • Dunbar NW, Hervig RL (1992) Petrogenesis and volatile stratigraphy of the Bishop Tuff: evidence from melt inclusion analysis. J Geophys Res 97:15129–15150

    Article  Google Scholar 

  • Elkins LT, Grove TL (1990) Ternary feldspar experiments and thermodynamic models. Am Mineral 75:544–559

    Google Scholar 

  • Evans BW, Bachmann O (2013) Implications of equilibrium and disequilibrium among crystal phases in the Bishop Tuff. Am Mineral 98:271–274

    Article  Google Scholar 

  • Fowler SJ, Spera FJ (2010) A metamodel for crustal magmatism: phase equilibria of giant ignimbrites. J Petrol 51:1783–1830

    Article  Google Scholar 

  • Frost BR, Lindsley DH (1992) Equilibria among Fe–Ti oxides, pyroxenes, olivine, and quartz. Part II. Application. Am Mineral 77:1004–1020

    Google Scholar 

  • Ganguly J, Tazzoli V (1994) Fe2+-Mg interdiffusion in orthopyroxene: retrieval from the data on intracrystalline exchange reaction. Am Mineral 79:930–937

    Google Scholar 

  • Ghiorso MS, Gualda GAR (2013) A method for estimating the activity of titania in magmatic liquids from the compositions of coexisting rhombohedral and cubic iron-titanium oxides. Contrib Mineral Petrol 165:73–81

    Article  Google Scholar 

  • Ghiorso MS, Sack RO (1991) Fe–Ti oxide geothermometry: thermodynamic formulation and the estimation of intensive variables in silicic magmas. Contrib Mineral Petrol 108:485–510

    Article  Google Scholar 

  • Ginibre C, Wörner G, Kronz A (2002) Minor- and trace-element zoning in plagioclase: implications for magma chamber processes in Parinacota volcano, northern Chile. Contrib Mineral Petrol 143:300–315

    Article  Google Scholar 

  • Ginibre C, Wörner G, Kronz A (2007) Crystal zoning as an archive for magma evolution. Elements 3:261–266

    Article  Google Scholar 

  • Gualda GAR (2007) Crystal and bubble populations in the early-erupted Bishop rhyolitic magma: microscopy, X-ray tomography and microanalysis of pumice clasts. PhD Thesis. The University of Chicago, Chicago, Illinois

  • Gualda GAR, Ghiorso MS (2013) The Bishop Tuff giant magma body: an alternative to the Standard Model. Contrib Mineral Petrol 166:755–775

    Article  Google Scholar 

  • Gualda GAR, Pamukcu AS, Ghiorso MS, Anderson AT, Sutton SR, Rivers ML (2012a) Timescales of quartz crystallization and the longevity of the Bishop giant magma body. PLoS One 7:e37492

    Article  Google Scholar 

  • Gualda GAR, Ghiorso MS, Lemons RV, Carley TL (2012b) Rhyolite-MELTS: a modified calibration of MELTS optimized for silica-rich, fluid-bearing magmatic systems. J Petrol 53:875–890

    Article  Google Scholar 

  • Hammond PA, Taylor LA (1982) The ilmenite/titano-magnetite assemblage: kinetics of re-equilibration. Earth Planet Sci Lett 61:143–150

    Article  Google Scholar 

  • Hildreth EW (1977) The magma chamber of the Bishop Tuff: gradients in temperature, pressure, and composition. PhD thesis. University of California, Berkeley, California

  • Hildreth W (1979) The Bishop Tuff: evidence for the origin of compositional zonation in silicic magma chambers. In: Chapin CE, Elston WE (eds) Ash-flow tuffs. Geol Soc Am Spec Pap 180:43–75

  • Hildreth W (2004) Volcanological perspectives on Long Valley, Mammoth Mountain, and Mono Craters: several contiguous but discrete systems. J Volcanol Geotherm Res 136:169–198

    Article  Google Scholar 

  • Hildreth W, Wilson CJN (2007) Compositional zoning of the Bishop Tuff. J Petrol 48:951–999

    Article  Google Scholar 

  • Huebner JS, Sato M (1970) The oxygen fugacity-temperature relationships of manganese oxide and nickel oxide buffers. Am Mineral 55:934–952

    Google Scholar 

  • Humphreys MCS, Christopher T, Hards V (2009) Microlite transfer by disaggregation of mafic inclusions following magma mixing at Soufriere Hills volcano, Montserrat. Contrib Mineral Petrol 157:609–624

    Article  Google Scholar 

  • Jellinek AM, DePaolo DJ (2003) A model for the origin of large silicic magma chambers: precursors of caldera-forming eruptions. Bull Volcanol 65:363–381

    Article  Google Scholar 

  • Kularatne K, Audétat A (2014) Rutile solubility in hydrous rhyolite melts at 750–900 °C and 2 kbar, with application to titanium-in-quartz (TitaniQ) thermobarometry. Geochim Cosmochim Acta 125:196–209

    Article  Google Scholar 

  • Lu F (1991) The Bishop Tuff: origins of the high-silica rhyolite and its thermal and chemical zonations. PhD thesis. The University of Chicago, Chicago, Illinois

  • Lu F, Anderson AT, Davis AM (1992) Melt inclusions and crystal-liquid separation in rhyolitic magma of the Bishop Tuff. Contrib Mineral Petrol 110:113–120

    Article  Google Scholar 

  • Magaritz M, Hofmann AW (1978) Diffusion of Sr, Ba and Na in obsidian. Geochim Cosmochim Acta 42:595–605

    Article  Google Scholar 

  • Malfait WJ, Seifert R, Petitgirard S, Perrillat J-P, Mezouar M, Ota T, Nakamura E, Lerch P, Sanchez-Valle C (2014) Supervolcano eruptions driven by melt buoyancy in large silicic magma chambers. Nat Geosci 7:122–125

    Article  Google Scholar 

  • Martin VM, Morgan DJ, Jerram DA, Caddick MJ, Prior DJ, Davidson JP (2008) Bang! Month-scale eruption triggering at Santorini volcano. Science 321:1178

    Article  Google Scholar 

  • Matthews NE, Huber C, Pyle DM, Smith VC (2012a) Timescales of magma recharge and reactivation of large silicic systems from Ti diffusion in quartz. J Petrol 53:1385–1416

    Article  Google Scholar 

  • Matthews NE, Pyle DM, Smith VC, Wilson CJN, Huber C, van Hinsberg V (2012b) Quartz zoning and the pre-eruptive evolution of the ~340-ka Whakamaru magma systems, New Zealand. Contrib Mineral Petrol 163:87–107

    Article  Google Scholar 

  • Miller CF, Wark DA (2008) Supervolcanoes and their explosive supereruptions. Elements 4:11–16

    Article  Google Scholar 

  • Morgan DJ, Blake S (2006) Magmatic residence times of zoned phenocrysts: introduction and application of the binary element diffusion modelling (BEDM) technique. Contrib Mineral Petrol 151:58–70

    Article  Google Scholar 

  • Morgan DJ, Blake S, Rogers NW, De Vivo B, Rolandi G, MacDonald R, Hawkesworth CJ (2004) Time scales of crystal residence and magma chamber volumes from modelling of diffusion profiles in phenocrysts: Vesuvius 1944. Earth Planet Sci Lett 222:933–946

    Article  Google Scholar 

  • Morgan DJ, Blake S, Rogers NW, De Vivo B, Rolandi G, Davidson JP (2006) Magma chamber recharge at Vesuvius in the century prior to AD 79. Geology 34:845–848

    Article  Google Scholar 

  • Naney MT (1983) Phase equilibria of rock-forming ferromagnesian silicates in granitic systems. Am J Sci 283:993–1033

    Article  Google Scholar 

  • Pamukcu AS, Gualda GAL, Anderson AT (2012) Crystallization stages of the Bishop Tuff magma body recorded in crystal textures in pumice clasts. J Petrol 53:589–609

    Article  Google Scholar 

  • Peppard BT, Steele IM, Davis AM, Wallace PJ, Anderson AT (2001) Zoned quartz phenocrysts from the rhyolitic Bishop Tuff. Am Mineral 86:1034–1052

    Google Scholar 

  • Reed SJB (2005) Electron microprobe analysis and scanning electron microscopy in geology. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Reid MR, Schmitt AK (2012) Implications of Bishop Tuff zircon U-Pb ages for rates of zircon growth and magma accumulation. Abstract V13F-07 presented at the 2012 Fall Meeting of the American Geophysical Union, San Francisco, California, 3–7 December

  • Reid MR, Vazquez JA, Schmitt AK (2011) Zircon-scale insights into the history of a supervolcano, Bishop Tuff, Long Valley, California, with implications for the Ti-in-zircon geothermometer. Contrib Mineral Petrol 161:293–311

    Article  Google Scholar 

  • Rivera TA, Storey M, Zeeden C, Hilgen FJ, Kuiper K (2011) A refined astronomically calibrated 40Ar/39Ar age for Fish Canyon sanidine. Earth Planet Sci Lett 311:420–426

    Article  Google Scholar 

  • Roberge J, Wallace PJ, Kent AJR (2013) Magmatic processes in the Bishop Tuff rhyolitic magma based on trace elements in melt inclusions and pumice matrix glass. Contrib Mineral Petrol 165:237–257

    Article  Google Scholar 

  • Saunders K, Blundy J, Dohmen R, Cashman K (2012) Linking petrology and seismology at an active volcano. Science 336:1023–1027

    Article  Google Scholar 

  • Saunders K, Buse B, Kilburn MR, Kearns S, Blundy J (2014) Nanoscale characterisation of crystal zoning. Chem Geol 364:20–32

    Article  Google Scholar 

  • Schwandt CS, Cygan RT, Westrich HR (1998) Magnesium self-diffusion in orthoenstatite. Contrib Mineral Petrol 130:390–396

    Article  Google Scholar 

  • Self S (2006) The effects and consequences of very large explosive volcanic eruptions. Philos Trans R Soc Lond A 364:2073–2097

    Article  Google Scholar 

  • Self S, Blake S (2008) Consequences of explosive supereruptions. Elements 4:41–46

    Article  Google Scholar 

  • Snyder D (2000) Thermal effects of the intrusion of basaltic magma into a more silicic magma chamber and implications for eruption triggering. Earth Planet Sci Lett 175:257–273

    Article  Google Scholar 

  • Sparks RSJ, Sigurdsson H, Wilson L (1977) Magma mixing: a mechanism for triggering acid explosive eruptions. Nature 267:315–318

    Article  Google Scholar 

  • Thomas JB, Watson EB (2012) Application of the Ti-in-quartz thermobarometer to rutile-free systems. Reply to: a comment on “TitaniQ under pressure: the effect of pressure and temperature on the solubility of Ti in quartz’ by Thomas et al. Contrib Mineral Petrol 164:369–374

    Article  Google Scholar 

  • Thomas JB, Watson EB, Spear FS, Shemella PT, Nayak SK, Lanzirotti A (2010) TitaniQ under pressure: the effect of pressure and temperature on the solubility of Ti in quartz. Contrib Mineral Petrol 160:743–759

    Article  Google Scholar 

  • Till CB, Vazquez JA, Boyce JW, Hitzman C (2012) Quantifying the interval between rejuvenation and eruption of rhyolite at Yellowstone caldera using high-resolution NanoSIMS geospeedometry. In: Abstract V43E-01 presented at the 2012 Fall Meeting of the American Geophysical Union, San Francisco, California, 3–7 December

  • Wallace PJ, Anderson AT, Davis AM (1999) Gradients in H2O, CO2, and exsolved gas in a large-volume silicic magma system: interpreting the record preserved in melt inclusions from the Bishop Tuff. J Geophys Res 104:20097–20122

    Article  Google Scholar 

  • Wark DA, Hildreth W, Spear FS, Cherniak DJ, Watson EB (2007) Pre-eruption recharge of the Bishop magma system. Geology 35:235–238

    Article  Google Scholar 

  • Wilson CJN, Hildreth W (1997) The Bishop Tuff: new insights from eruptive stratigraphy. J Geol 105:407–439

    Article  Google Scholar 

  • Wilson CJN, Seward TM, Charlier BLA, Allan ASR, Bello L (2012) A comment on: ‘TitaniQ under pressure: the effect of pressure and temperature on the solubility of Ti in quartz’, by Jay B. Thomas, E. Bruce Watson, Frank S. Spear, Philip T. Shemella, Saroj K. Nayak and Antonio Lanzirotti. Contrib Mineral Petrol 164:359–368

    Article  Google Scholar 

  • Zellmer GF, Blake S, Vance D, Hawkesworth C, Turner S (1999) Plagioclase residence times at two island arc volcanoes (Kameni Islands, Santorini, and Soufriere, St. Vincent) determined by Sr diffusion systematics. Contrib Mineral Petrol 136:345–357

    Article  Google Scholar 

  • Zhang Y (2010) Diffusion in minerals and melts: theoretical background. Rev Mineral Geochem 72:5–59

    Article  Google Scholar 

Download references

Acknowledgements

We thank Richard Walshaw (University of Leeds) and Joe Wooden (Stanford University) for assistance during CL imaging, and Aidan Allan and George Cooper for discussions. KJC was supported by an NZ International Doctoral Research Scholarship administered by Education New Zealand, a Jack Kleinman Award administered by the U.S. Geological Survey, and two Victoria University of Wellington Faculty Strategic Research Grants. CJNW thanks the Royal Society of New Zealand for support through Marsden Fund grant VUW0813 (which also facilitated the participation of DJM) and a James Cook Fellowship. Analyses at Leeds were part-funded by DJM through School of Earth and Environment start-up funds. We thank Kate Saunders and an anonymous reviewer for their helpful reviews and Jon Blundy for editorial handling.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Katy J. Chamberlain.

Additional information

Communicated by Jon Blundy.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chamberlain, K.J., Morgan, D.J. & Wilson, C.J.N. Timescales of mixing and mobilisation in the Bishop Tuff magma body: perspectives from diffusion chronometry. Contrib Mineral Petrol 168, 1034 (2014). https://doi.org/10.1007/s00410-014-1034-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00410-014-1034-2

Keywords

Navigation