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Chapter 2 - Magma chamber dynamics and thermodynamics

Published online by Cambridge University Press:  05 March 2013

By
Josef Dufek ,
Christian Huber  and
Leif Karlstrom
Edited by
Sarah A. Fagents ,
Tracy K. P. Gregg  and
Rosaly M. C. Lopes
Sarah A. Fagents
Affiliation:
University of Hawaii, Manoa
Tracy K. P. Gregg
Affiliation:
State University of New York, Buffalo
Rosaly M. C. Lopes
Affiliation:
NASA-Jet Propulsion Laboratory, California
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Summary

Overview

Magma chambers are continuous bodies of magma in the crust where magma accumulates and differentiates. Both geophysical and geochemical techniques have illuminated many aspects of magma chambers since they were first proposed. In this chapter, we review these observations in the context of heat and mass transfer theory. This chapter reviews heat transfer calculations from magma chamber to the surrounding crust, and also considers the coupled stress fields that are generated and modified by the presence of magmatic systems. The fluid dynamics of magma chambers has received considerable attention over the last several decades and here we review the ramifications of convection in magma chambers. Multiphase flow (melt + crystals + bubbles) plays a particularly important role in the evolution of magma chambers. The large density differences between melt and discrete phases such as bubbles and crystals, and the resulting flow fields generated by buoyancy are shown to be an efficient mechanism to generate mixing in chamber systems. Finally we discuss integrative approaches between geophysics and geochemistry and future directions of research.

Introduction

The compositional diversity of melts that reach the surface of the Earth, and diversity in eruptive style, are largely determined through processing of these melts as they ascend and sometimes stall in the crust. Most eruptive products and intrusive suites have been modified substantially from their progenitor mantle magmas, either through preferential removal of crystal phases during fractionation, assimilation of crustal melts, or a combination of these processes (Daly, 1914; Anderson, 1976; Wyllie, 1977; Hildreth and Moorbath, 1988; DePaolo et al., 1992; Feeley et al., 2002). Much of the evolution of these magmas likely occurs where they spend the most time: where magma has either permanently or temporarily stalled in magma chambers. This accumulation is fundamental to the genesis of large eruptions, as the background flux from the mantle cannot explain the voluminous outbursts of magma at the surface of the Earth. Magma chamber dynamics largely control the compositional evolution of these magmas, and ultimately a better understanding of magma chambers may provide clues to the triggering of eruptions.

Type
Chapter
Information
Modeling Volcanic Processes
The Physics and Mathematics of Volcanism
 , pp. 5 - 31
Publisher: Cambridge University Press
Print publication year: 2013

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References

Ajakaiye, D. E. (1970). Gravity measurements over the Nigerian Younger granite province. Nature, 225, 50–52.CrossRefGoogle Scholar
Anderson, E. M. (1936). Dynamics of the formation of cone-sheets, ring-dykes, and cauldron-subsidences. Proceedings of the Royal Society of Edinburgh, 56, 128–157.CrossRefGoogle Scholar
Anderson, A. T. (1976). Magma mixing – Petrological process and volcanological tool. Journal of Volcanology and Geothermal Research, 1(1), 3–33.CrossRefGoogle Scholar
Annen, C. and Sparks, R. S. J. (2002). Effects of repetitive emplacement of basaltic intrusions on the thermal evolution and melt generation in the crust. Earth and Planetary Science Letters, 203(3–4), 937–955.CrossRefGoogle Scholar
Bachmann, O., Miller, C. F. and de Silva, S. L. (2007a). The volcanic-plutonic connection as a stage for understanding crustal magmatism. Journal of Volcanology and Geothermal Research, 167, 1–23.CrossRefGoogle Scholar
Bachmann, O., Oberli, F., Dungan, M. A. et al. (2007b). 40Ar/39Ar and U-Pb dating of the Fish Canyon magmatic system, San Juan Volcanic Field, Colorado: Evidence for an extended crystallization history. Chemical Geology, 236, 134–166.CrossRefGoogle Scholar
Barboza, S. A. and Bergantz, G. W. (1996). Dynamic model of dehydration melting motivated by a natural analogue: applications to the Ivrea-Verbano zone, northern Italy. Transactions of the Royal Society of Edinburgh, 87, 23–31.CrossRefGoogle Scholar
Beard, J. S., Ragland, P. C. and Crawford, M. L. (2005). Reactive bulk assimilation: A model for crust-mantle mixing in silicic magmas. Geology, 33(8), 681–684.CrossRefGoogle Scholar
Bénard, H. (1900). Les tourbillons cellulaires dans une nappe liquide. Revue générale des sciences pures et appliquées, 11, 1261–1271.Google Scholar
Bergantz, G. W. (1989). Underplating and partial melting: Implications for melt generation and extraction. Science, 245, 1093–1095.CrossRefGoogle ScholarPubMed
Bergantz, G. W. (1990). Melt fraction diagrams: the link between chemical and transport models. In Modern Methods of Igneous Petrology: Understanding Magmatic Processes, ed. Nicholls, J. and Russell, J. K.. Reviews in Mineralogy, 24, Mineralogical Society of America, pp. 239–257.Google Scholar
Bergantz, G. W. (1995). Changing paradigms and techniques for the evaluation of magmatic processes. Journal of Geophysical Research, 100(B9), 17 603–17 613.CrossRefGoogle Scholar
Bergantz, G. W. and Breidenthal, R. E. (2001). Non-stationary entrainment and tunneling eruptions: A dynamic link between eruption processes and magma mixing. Geophysical Research Letters, 28(16), 3075–3078.CrossRefGoogle Scholar
Bergantz, G. W. and Ni, J. (1999). A numerical study of sedimentation by dripping instabilities in viscous fluids. International Journal of Multiphase Flow, 25, 307–320.CrossRefGoogle Scholar
Berlo, K., Turner, S., Blundy, J., Black, S. and Hawkesworth, C. (2006). Tracing pre-eruptive magma degassing using (210Pb/226Ra) disequilibria in the volcanic deposits of the 1980–1986 eruption of Mount St. Helens. Earth and Planetary Science Letters, 249(3–4), 337–349.CrossRefGoogle Scholar
Bittner, D. and Schmeling, H. (1995). Numerical modelling of melting processes and induced diapirisms in the lower crust. Geophysical Journal International, 123(1), 59–70.CrossRefGoogle Scholar
Blundy, J. and Wood, B. (2003). Mineral-melt partitioning of uranium, thorium and their daughters. In Uranium-Series Geochemistry, ed. Bourdon, B., Henderson, G. M., Lundstrom, C. C. and Turner, P. S.. Washington, DC: Minerological Society of America and Geochemical Society, pp. 59–123.Google Scholar
Bonafede, M. (1990). Axi-symmetric deformation of a thermo-poro-elastic half-space: inflation of a magma chamber. Geophysical Journal International, 183, 289–299.CrossRefGoogle Scholar
Bonafede, M., Dragoni, M. and Quareni, F. (1986). Displacement and stress produced by a center of dilation and by a pressure source in a viscoelastic half-space: application to the study of ground deformation and seismicity at Campi Flegeri, Italy. Geophysical Journal of the Royal Astronomical Society, 87(2), 455–485.CrossRefGoogle Scholar
Burgisser, A., Bergantz, G. W. and Breidenthal, R. E. (2005). Addressing complexity in laboratory experiments: the scaling of dilute multiphase flows in magmatic systems. Journal of Volcanology and Geothermal Research, 141(3–4), 245–265.CrossRefGoogle Scholar
Caricchi, L., Burlini, L., Ulmer, P. et al. (2007). Non-Newtonian rheology of crystal-bearing magmas and implications for magma ascent dynamics. Earth and Planetary Science Letters, 264, 402–419.CrossRefGoogle Scholar
Carrigan, C. R. (1988). Biot number and thermos bottle effect: Implications for magma-chamber convection. Geology, 16, 771–774.2.3.CO;2>CrossRefGoogle Scholar
Castro, A. and de la Rosa, J. (1994). Nomarski study of zoned plagioclases from granitoids of the Seville Range batholith, SW Spain, Petrogenetic implications. European Journal of Mineralogy, 6, 647–656.CrossRefGoogle Scholar
Champallier, R., Bystricky, M. and Arbaret, L. (2008). Experimental investigation of magma rheology at 300 MPa: From pure hydrous melt to 76 vol % of crystals. Earth and Planetary Science Letters, 267, 571–583.CrossRefGoogle Scholar
Chapman, D. S. (1986). Thermal gradients in the continental crust. Geological Society Special Publication, 24, 63–70.CrossRefGoogle Scholar
Chapman, D. S. and Furlong, K. P. (1992). Thermal state of the continental lower crust. In Continental Lower Crust, ed. Fountain, D. M., Arculus, R., and Kay, R. W.. Amsterdam: Elsevier, pp. 179–198.Google Scholar
Chen, C. F. and Turner, J. S. (1980). Crystallization in double-diffusive systems. Journal of Geophysical Research, 85, 2573–2593.CrossRefGoogle Scholar
Christensen, J. N. and DePaolo, D. J. (1993). Time scales of large volume silicic magma systems: Sr isotopic systematics of phenocrysts and glass from the Bishop Tuff, Long Valley, California. Contributions to Mineralogy and Petrology, 113, 100–114.CrossRefGoogle Scholar
Coltice, N. and Schmalzl, J. (2006). Mixing times in the mantle of the early Earth derived from 2-D and 3-D numerical simulations of convection. Geophysical Research Letters, 33(L23304), doi:.CrossRefGoogle Scholar
Cooper, K. M. and Reid, M. R. (2003). Re-examination of crystal ages in recent Mount St. Helens lavas: implications for magma reservoir processes. Earth and Planetary Science Letters, 213, 149–167.CrossRefGoogle Scholar
Costa, F., Chakraborty, S. and Dohmen, R. (2003). Diffusion coupling between trace and major elements and a model for calculation of magma residence times using plagioclase. Geochimica et Cosmochimica Acta, 67(12), 2189–2200.CrossRefGoogle Scholar
Daly, R. A. (1914). Igneous Rocks and Their Origin. McGraw-Hill.Google Scholar
DePaolo, D. J., Perry, F. V. and Baldridge, W. S. (1992). Crustal versus mantle sources of granitic magmas: a two-parameter model based on Nd isotopic studies. Transactions of the Royal Society of Edinburgh, 83, 439–446.CrossRefGoogle Scholar
Dieterich, J. H. and Decker, R. W. (1975). Finite-element modeling of surface deformation associated with volcanism. Journal of Geophysical Research, 80(29), 4094–4102.CrossRefGoogle Scholar
Dobran, F. (2001). Volcanic Processes, Mechanisms in Material Transport. Kluwer Academic, 590pp.CrossRefGoogle Scholar
Dragoni, M. and Magnanensi, C. (1989). Displacement and stress produced by a pressurized, spherical magma chamber, surrounded by a viscoelasitic shell. Physics of the Earth and Planetary Interiors, 56, 316–328.CrossRefGoogle Scholar
Druitt, T. H. and Francavigilia, V. (1992). Caldera formation on Santorini and physiography of the islands in the late Bronze Age. Bulletin of Volcanology, 54, 484–493.CrossRefGoogle Scholar
Dufek, J. D. and Bergantz, G. W. (2005a). Lower crustal magma genesis and preservation: A stochastic framework for the evaluation of basalt-crust interaction. Journal of Petrology, 46, 2167–2195.CrossRefGoogle Scholar
Dufek, J. D. and Bergantz, G. W. (2005b). Transient two-dimensional dynamics in the upper conduit of a rhyolitic eruption: A comparison of the closure models for the granular stress. Journal of Volcanology and Geothermal Research, 143, 113–132.CrossRefGoogle Scholar
Dufek, J. and Bergantz, G. W. (2007). The suspended-load and bed-load transport of particle laden gravity currents: Insight from pyroclastic flows that traverse water. Journal of Theoretical and Computational Fluid Dynamics, 21(2), 119–145.CrossRefGoogle Scholar
Dumond, G., Hahan, K., Williams, M. W. and Karlstrom, K. E. (2007). Metamorphism in middle continental crust, Upper Granite Gorge, Grand Canyon, Arizona: implications for segmented crustal architecture, processes at 25-km-deep levels, and unroofing of orogens. Geological Society of America Bulletin, 119, 202–220.CrossRefGoogle Scholar
Eichelberger, J. C. (1980). Vesiculation of mafic magma during replenishment of silicic magma reservoirs. Nature, 288, 446–450.CrossRefGoogle Scholar
Eshelby, J. D. (1957). The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London, A241(1226), 376–396.CrossRefGoogle Scholar
Feeley, T. C., Cosca, M. A. and Lindsay, C. R. (2002). Petrogenesis and implications of cryptic hybrid magmas from Washburn Volcano, Absaroka Volcanic Province, U.S.A. Journal of Petrology, 43, 663–703.CrossRefGoogle Scholar
Fialko, Y. A., Khazan, Y. and Simons, M. (2001). Deformation due to a pressurized horizontal circular crack in an elastic half-space, with applications to volcano geodesy. Geophysical Journal International, 146, 181–190.CrossRefGoogle Scholar
Folch, A. and Marti, J. (1998). The generation of overpressure in felsic magma chambers by replenishment. Earth and Planetary Science Letters, 163, 301–314.CrossRefGoogle Scholar
Fowler, S. J. and Spera, F. (2008). Phase equilibrium trigger for explosive volcanic eruptions. Geophysical Research Letters, 35, doi:.CrossRefGoogle Scholar
Fung, Y. C. (1965). Foundations of Solid Mechanics. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
Gaffney, E. S., Damjanac, B. and Valentine, G. A. (2007). Localization of volcanic activity: 2. Effects of pre-existing structure. Earth and Planetary Science Letters, 263, 323–338.CrossRefGoogle Scholar
Gerya, T. V., Yuen, D. A. and Sevre, O. D. (2004). Dynamical causes for incipient magma chambers above slabs. Geology, 32(1), 89–92.CrossRefGoogle Scholar
Ghiorso, M. S. and Sack, R. O. (1995). Chemical mass transfer in magmatic processes IV. A revised and internally consistent thermodynamic model for the interpolation and extrapolation of liquid-solid equilibria in magmatic systems at elevated temperatures and pressures. Contributions to Mineralogy and Petrology, 119, 197–212.CrossRefGoogle Scholar
Green, D. H. (1973). Experimental melting studies on a model upper mantle composition at high pressure under water-saturated and water-undersaturated conditions. Earth and Planetary Science Letters, 19(1), 37–53.CrossRefGoogle Scholar
Grosfils, E. B. (2007). Magma reservoir failure on the terrestial planets: Assessing the importance of gravitational loading in simple elastic models. Journal of Volcanology and Geothermal Research, 166, 47–75.CrossRefGoogle Scholar
Grout, F. F. (1918). Two phase convection in igneous magmas. Journal of Geology, 26, 481–499.Google Scholar
Grout, F. F. (1926). The use of calculations in petrology – A study for students. Journal of Geology, 34(6), 512–558.CrossRefGoogle Scholar
Grunder, A. L., Klemetti, E. W., Feeley, T. C. and McKee, C. M. (2006). Eleven million years of arc volcanism at the Aucanquilcha Volcanic Cluster, Northern Chilean Andes: implications for the life span and emplacement of plutons. Transactions of the Royal Society of Edinburgh, 97, 415–436.CrossRefGoogle Scholar
Gudmundsson, A. (1998). Formation and development of normal-fault calderas and the initiation of large explosive eruptions. Bulletin of Volcanology, 60, 160–170.CrossRefGoogle Scholar
Gudmundsson, A. (2006). How local stresses control magma-chamber ruptures, dyke injections, and eruptions in composite volcanoes. Bulletin of Volcanology, 79, 1–31.Google Scholar
Gudmundsson, M. T. and Hognadottir, T. (2007). Volcanic systems and calderas in the Vatnajokull region, central Iceland: Constraints on crustal structure from gravity data. Journal of Geodynamics, 43(1), 153–169.CrossRefGoogle Scholar
Hart, G. L., Johnson, C. M., Shirey, S. B. and Clynne, M. A. (2002). Osmium isotope constraints on lower crustal recycling and pluton preservation at Lassen Volcanic Center, CA. Earth and Planetary Science Letters, 199, 269–285.CrossRefGoogle Scholar
Hibbard, M. J. (1981). The magma mixing origin of mantled feldspars. Contributions to Mineralogy and Petrology, 76, 158–170.CrossRefGoogle Scholar
Hieronymus, C. F. and Bercovici, D. (1999). Discrete alternating hotspot islands formed by interaction of magma transport and lithospheric flexure. Nature, 397(18), 604–607.CrossRefGoogle Scholar
Hildreth, W. and Moorbath, S. (1988). Crustal contributions to arc magmatism in the Andes of Central Chile. Contributions to Mineralogy and Petrology, 98, 455–489.CrossRefGoogle Scholar
Hopson, C. A. and Mattinson, J. M. (1994). Chelan Migmatite Complex, Washington: Field evidence for mafic magmatism, crustal anatexis, mixing and protodiapiric emplacement. In Geologic Field Trips in the Pacific Northwest: 1994 Geological Society of America Annual Meeting, ed. Swanson, D. A. and Haugerud, R. A.. Seattle: Department of Geological Sciences, University of Washington, pp. 1–21.Google Scholar
Huber, C., Bachmann, O. and Manga, M. (2009). Homogenization processes in silicic magma chambers by stirring and latent heat buffering. Earth and Planetary Science Letters, 283, 38–47.CrossRefGoogle Scholar
Huppert, H. E. and Sparks, R. S. J. (1988). The generation of granitic magmas by intrusion of basalt into continental crust. Journal of Petrology, 29(3), 599–624.CrossRefGoogle Scholar
Huppert, H. E. and Woods, A. W. (2002). The role of volatiles in magma chamber dynamics. Nature, 420, 493–495.CrossRefGoogle ScholarPubMed
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.CrossRefGoogle Scholar
Hutton, J. (1788). Theory of the Earth; or an investigation of the laws observable in the composition, dissolution and restoration of the land upon the globe. Transactions of the Royal Society of Edinburgh, 1, 209–304.CrossRefGoogle Scholar
Ilg, B., Karlstrom, K. E., Hawkins, D. and Williams, M. L. (1996). Tectonic evolution of paleoproterozoic rocks in Grand Canyon: Insights into middle crustal processes. Geological Society of America Bulletin, 108, 1149–1166.2.3.CO;2>CrossRefGoogle Scholar
Jaeger, J., Cook, N. G. and Zimmerman, R. (2007). Fundamentals of Rock Mechanics, 4th edn., Wiley-Blackwell.Google Scholar
Jeffery, G. B. (1921). Plane stress and plane strain in bipolar co-ordinates. Philosophical Transactions of the Royal Society of London A, 221, 265–293.CrossRefGoogle Scholar
Jellinek, A. M. and DePaolo, D. J. (2003). A model for the origin of large silicic magma chambers: precursors of caldera-forming eruptions. Bulletin of Volcanology, 65, 363–381.CrossRefGoogle Scholar
Jellinek, A. M. and Kerr, R. C. (1999). Mixing and compositional stratification produced by natural convection 2. Applications to the differentiation of basaltic and silicic magma chambers and komatiite lava flows. Journal of Geophysical Research, 104(B4), 7203–7218.CrossRefGoogle Scholar
Jellinek, A. M., Manga, M. and Saar, M. O. (2004). Did melting glaciers cause volcanic eruptions in eastern, California?Journal of Geophysical Research, 109(B09206), doi: .CrossRefGoogle Scholar
Jessup, M. J., Jones, J. V., Karlstrom, K. E.et al. (2006). Three Proterozoic orogenic episodes and an intervening exhumation event in the Black Canyon of the Gunnison region, Colorado. Journal of Geology, 114, 555–576.CrossRefGoogle Scholar
Karlstrom, K. E. and Williams, M. L. (2006). Nature of the middle crust – Heterogeneity of structure and process due to pluton-enhanced tectonism: an example from Proterozoic rocks of the North American Southwest. In Evolution and Differentiation of the Continental Crust, ed. Brown, M. and Rushmer, T.. Cambridge University Press, pp. 268–295.Google Scholar
Karlstrom, L., Dufek, J. and Manga, M. (2009). Organization of volcanic plumbing through magmatic lensing by magma chambers and volcanic loads. Journal of Geophysical Research, 114, B10204, doi:.CrossRefGoogle Scholar
Kavanagh, J. L., Menand, T. and Sparks, R. S. J. (2006). An experimental investigation of sill formation and propagation in layered elastic media. Earth and Planetary Science Letters, 245, 799–813.CrossRefGoogle Scholar
Koyaguchi, T. and Blake, S. (1991). Origin of mafic enclaves: Constraints on the magma mixing model from fluid dynamic experiments. In Enclaves and Granite Petrology. Amsterdam: Elsevier.Google Scholar
Koyaguchi, T. and Kaneko, K. (1999). A two-stage thermal evolution model of magmas in continental crust. Journal of Petrology, 40, 241–254.CrossRefGoogle Scholar
Koyaguchi, T., Hallworth, M. A., Huppert, H. H. and Sparks, R. S. J. (1990). Sedimentation of particles from a convecting fluid. Nature, 343, 447–450.CrossRefGoogle Scholar
Koyaguchi, T., Hallworth, M. A. and Huppert, H. E. (1993). An experimental study on the effects of phenocrysts on convection in magmas. Journal of Volcanology and Geothermal Research, 55, 15–32.CrossRefGoogle Scholar
Lange, R. L. and Carmichael, I. S. E. (1990). Thermodynamic properties of silicate liquids with emphasis on density, thermal expansion and compressibility. In Modern Methods of Igneous Petrology: Understanding Magmatic Processes, ed. Nicholls, J. and Russell, J. K.. Reviews in Mineralogy, Mineralogical Society of America, pp. 25–64.Google Scholar
Lees, J. M. (2007). Seismic tomography of magmatic systems. Journal of Volcanology and Geothermal Research, 167, 37–56.CrossRefGoogle Scholar
Longo, A., Vassalli, M., Papale, P. and Barsanti, M. (2006). Numerical simulation of convection and mixing in magma chambers replenished with CO2-rich magma. Geophysical Research Letters, 33, doi:.CrossRefGoogle Scholar
Manzella, A., Volpi, G. and Zaja, A. (2000). New magnetotelluric soundings in the Mt. Somma-Vesuvius volcanic complex: preliminary results. Annali di Geofisica, 43(2), 259–270.Google Scholar
Marsh, B. D. (1981). On the crystallinity, probability of occurrence, and rheology of lava and magma. Contributions to Mineralogy and Petrology, 78, 85–98.CrossRefGoogle Scholar
Marsh, B. D. (1989). Magma chambers. Annual Review of Earth and Planetary Sciences, 17, 439–474.CrossRefGoogle Scholar
Marsh, B. D. (1996). Solidification fronts and magmatic evolution. Mineralogical Magazine, 60, 5–40.CrossRefGoogle Scholar
Martin, D. and Nokes, R. (1989). A fluid-dynamical study of crystal settling in convecting magmas. Journal of Petrology, 30, 1471–1500.CrossRefGoogle Scholar
McLeod, P. (1999). The role of magma buoyancy in caldera-forming eruptions. Geophysical Research Letters, 26(15), 2299–2302.CrossRefGoogle Scholar
McTigue, D. F. (1987). Elastic stress and deformation near a finite spherical magma body: resolution of the point-source paradox. Journal of Geophysical Research, 92(B12), 12 931–12 940.CrossRefGoogle Scholar
McTigue, D. F. and Mei, C. C. (1987). Gravity-induced stresses near axisymmetric topography of small slope. International Journal of Numerical and Analytical Methods in Geomechanics, 11, 257–268.CrossRefGoogle Scholar
Meriaux, C. and Lister, J. R. (2002). Calculation of dike trajectories from volcanic centers. Journal of Geophysical Research, 107(B4), 2077–2087.CrossRefGoogle Scholar
Mogi, K. (1958). Relationships between the eruptions of various volcanoes and the deformation of the ground surface around them. Bulletin of the Earthquake Research Institute, University of Tokyo, 36, 99–134.Google Scholar
Muller, O. H. and Pollard, D. D. (1977). Stress state near Spanish Peaks. Pure and Applied Geophysics, 115, 69–86.CrossRefGoogle Scholar
Muller, J. R., Ito, G. and Martel, S. J. (2001). Effects of volcano loading on dike propogation in an elastic half-space. Journal of Geophysical Research, 106(B6), 11 101–11 113.CrossRefGoogle Scholar
Newman, A. V., Dixon, T. H. and Gourmelen, N. (2006). A four-dimensional viscoelastic deformation model for Long Valley Caldera, California, between 1995 and 2000. Journal of Volcanology and Geothermal Research, 150, 244–269.CrossRefGoogle Scholar
Olson, P., Yuen, D. A. and Balsiger, D. (1984). Convective mixing and the fine structure of mantle heterogeneity. Physics of the Earth and Planetary Interiors, 36, 291–304.CrossRefGoogle Scholar
Ottino, J. M., Ranz, W. E. and Macosko, W. (1979). A lamellar model for analysis of liquid-liquid mixing. Chemical Engineering Science, 34, 877–890.CrossRefGoogle Scholar
Parfitt, E. A., Wilson, L. and Head, J. W. (1993). Basaltic magma reservoirs: factors controlling their rupture characteristics and evolution. Journal of Volcanology and Geothermal Research, 55, 1–14.CrossRefGoogle Scholar
Patiño Douce, A. E. and Beard, J. (1995). Dehydration-melting of biotite gneiss and quartz amphibolite from 3 to 15 kbar. Journal of Petrology, 36, 707–738.CrossRefGoogle Scholar
Patiño Douce, A. E. and Harris, N. (1998). Experimental constraints on Himalayan anatexis. Journal of Petrology, 39, 689–710.CrossRefGoogle Scholar
Pedersen, T., Heeremens, M. and van der Beek, P. (1998). Models of crustal anatexis in volcanic rifts: applications to southern Finland and the Oslo Graben, southeast Norway. Geophysical Journal International, 132(2), 239–255.CrossRefGoogle Scholar
Petford, N. and Gallagher, K. (2001). Partial melting of mafic (amphibolitic) lower crust by periodic influx of basaltic magma. Earth and Planetary Science Letters, 193, 483–499.CrossRefGoogle Scholar
Phillips, J. C. and Woods, A. W. (2002). Suppression of large-scale magma mixing by melt-volatile separation. Earth and Planetary Science Letters, 204, 47–60.CrossRefGoogle Scholar
Pinel, R. and Jaupart, C. (2005). Caldera formation by magma withdrawal from a reservoir beneath a volcanic edifice. Earth and Planetary Science Letters, 230, 273–287.CrossRefGoogle Scholar
Poland, M., Hamburger, M. and Newman, A. V. (2006). The changing shape of active volcanoes: History, evolution and future challenges for volcano geodesy. Journal of Volcanology and Geothermal Research, 150, 1–13.CrossRefGoogle Scholar
Prakash, C. (1990). Two-phase model for binary solid-liquid phase change, part I: governing equations. Numerical Heat Transfer, 18(B), 131–145.CrossRefGoogle Scholar
Raia, F. and Spera, F. J. (1997). Simulations of crustal anatexis: Implications for the growth and differentiation of continental crust. Journal of Geophysical Research, 102(B10), 22 629–22 648.CrossRefGoogle Scholar
Rapp, R. P. (1995). Amphibole-out phase boundary in partially melted metabasalt, its conrol over liquid fraction and composition, and source permeability. Journal of Geophysical Research, 100, 15 601–15 610.CrossRefGoogle Scholar
Rapp, R. P. and Watson, E. B. (1995). Dehydration melting of metabasalt at 8–32 kbar: Implications for continental growth and crust–mantle recycling. Journal of Petrology, 36(4), 891–931.CrossRefGoogle Scholar
Rayleigh, Lord (1916). On convection currents in a horizontal layer of fluid when the higher temperature is on the under side. Philosophical Magazine, 32, 529–546.Google Scholar
Reid, M. R. (2008). How long does it take to supersize an eruption?Elements, 4(1), 23–28.CrossRefGoogle Scholar
Reid, M. R., Coath, C. D., Harrison, T. M. and McKeegan, K. D. (1997). Prolonged residence times for the youngest rhyolites associated with the Long Valley Caldera. Earth and Planetary Science Letters, 150, 27–39.CrossRefGoogle Scholar
Rivalta, E. and Segall, P. (2008). Magma compressibility and the missing source for some dike intrusions. Geophysical Research Letters, 35, L04306, doi:.CrossRefGoogle Scholar
Roper, S. M. and Lister, J. R. (2005). Buoyancy-driven crack propagation from an over-pressurized source. Journal of Fluid Mechanics, 536, 79–98.CrossRefGoogle Scholar
Rubin, A. M. (1995). Propogation of magma-filled cracks. Annual Review of Earth and Planetary Sciences, 23, 287–336.CrossRefGoogle Scholar
Rudnick, R. L., McDonough, W. F. and O’Connell, R. J. (1998). Thermal structure, thickness and composition of continental lithosphere. Chemical Geology, 145, 395–411.CrossRefGoogle Scholar
Ruprecht, P., Bergantz, G. W. and Dufek, J. (2008). Modeling of gas-driven magmatic overturn: Tracking of phenocryst dispersal and gathering during magma mixing. Geochemistry Geophysics Geosystems, 9, doi:.CrossRefGoogle Scholar
Rushmer, T. (1991). Partial melting of two amphibolites: contrasting experimental results under fluid-absent conditions. Contributions to Mineralogy and Petrology, 107, 41–59.CrossRefGoogle Scholar
Rushmer, T. (1995). An experimental deformation of partially molten amphibolite: Application to low-melt fraction segregation. Journal of Geophysical Research, 100, 15681–15695.CrossRefGoogle Scholar
Rust, A. C. and Manga, M. (2002). The effects of bubble deformation on the viscosity of suspensions. Journal of Non-Newtonian Fluid Mechanics, 104, 53–63.CrossRefGoogle Scholar
Saar, M. O. and Manga, M. (2002). Continuum percolation for randomly oriented soft-core prisms. Physical Review E, 65, doi:.CrossRefGoogle ScholarPubMed
Sartoris, G., Pozzi, J. P., Phillippe, C. and Mouel, J. L. L. (1990). Mechanical stability of shallow magma chambers. Journal of Geophysical Research, 95(B4), 5141–5151.CrossRefGoogle Scholar
Scandone, R., Cashman, K. V. and Malone, S. D. (2007). Magma supply, magma ascent and the style of volcanic eruptions. Earth and Planetary Science Letters, 253(3–4), 513–529.CrossRefGoogle Scholar
Segall, P. and Davis, J. L. (1997). GPS applications for geodynamics and earthquake studies. Annual Review of Earth and Planetary Sciences, 25, 301–336.CrossRefGoogle Scholar
Simon, J. I. and Reid, M. R. (2005). The pace of rhyolite differentiation and storage in an ‘archetypical’ silicic magma system, Long Valley, California. Earth and Planetary Science Letters, 235(1–2), 123–140.CrossRefGoogle Scholar
Snyder, D. (2000). Thermal effects of the intrusion of basaltic magma into a more silicic magma chamber and implications for eruption triggering. Earth and Planetary Science Letters, 175, 257–273.CrossRefGoogle Scholar
Sparks, R. S. J. and Huppert, H. E. (1984). Density changes during fractional crystallization of basaltic magmas: Fluid dynamical implications. Contributions to Mineraology and Petrology, 85, 300–309.CrossRefGoogle Scholar
Sparks, R. S. J., Sigurdsson, H. and Wilson, L. (1977). Magma mixing: a mechanism for triggering acid explosive eruptions. Nature, 267, 315–318.CrossRefGoogle Scholar
Sparks, R. S. J., Huppert, H. E., Koyaguchi, T. and Hallworth, M. A. (1993). Origin of modal and rhythmic igneous layering by sedimentation in a convecting magma. Nature, 361, 246–249.CrossRefGoogle Scholar
Speer, J. A., Naeem, A. and Almohandis, A. A. (1989). Small-scale variations and subtle zoning in granitoid plutons: the Liberty Hill pluton, South Carolina, U.S.A. Chemical Geology, 75, 153–181.CrossRefGoogle Scholar
Spera, F. J. and Crisp, J. A. (1981). Eruption volume, periodicity, and caldera area: Relationships and inferences on developments of compositional zonation in silicic magma chambers. Journal of Volcanology and Geothermal Research, 11, 169–187.CrossRefGoogle Scholar
Spiegelman, M. and Kenyon, P. (1992). The requirements for chemical disequilibrium during magma migration. Earth and Planetary Science Letters, 109, 611–620.CrossRefGoogle Scholar
Tait, S., Jaupart, C. and Vergniolle, S. (1989). Pressure, gas content and eruption periodicity of a shallow, crystallizing magma chamber. Geophysical Research Letters, 25(18), 3413–3416.Google Scholar
Touloukian, Y. S., Judd, W. R. and Roy, R.F. (ed.) (1981). Physical Properties of Rocks and Minerals. New York: McGraw-Hill.
Tsuchida, E. and Nakahara, I. (1970). Three-dimensional stress concentration around a spherical cavity in a semi-infinite elastic body. Japan Society of Mechanical Engineering Bulletin, 13, 499–508.CrossRefGoogle Scholar
Turcotte, D. L. and Schubert, G. (1982). Geodynamics: Applications of Continuum Physics to Geologic Problems. New York: Wiley.Google Scholar
Turner, J. S. and Campbell, I. H. (1986). Convection and mixing in magma chambers. Earth Science Reviews, 23, 255–352.CrossRefGoogle Scholar
Vazquez, J. A. (2004). Time scales of magma storage and differentiation beneath caldera volcanoes from uranium-238-thorium-230 disequilibrium dating of zircon and allanite. PhD Thesis, University of California, Los Angeles.
Vigneresse, J. L. and Tikoff, B. (1999). Strain partitioning during partial melting and crystallizing felsic magmas. Tectonophysics, 312, 117–132.CrossRefGoogle Scholar
Vigneresse, J. L., Barbey, P. and Cuney, M. (1996). Rheological transitions during partial melting and crystallization with application to the felsic magma segregation and transfer. Journal of Petrology, 37, 1579–1600.CrossRefGoogle Scholar
Voller, V. R. (1985). A heat balance integral method for estimating practical solidification parameters. IMA Journal of Applied Mathematics, 35, 223–232.CrossRefGoogle Scholar
Voller, V. R. and Cross, M. (1993). Solidification processes: Algorithms and codes. In Mathematical Modelling for Materials Processing, ed. Cross, M., Pittman, J. F. T. and Wood, R. D.. Oxford: Clarendon Press.Google Scholar
Voller, V. R. and Swaminathan, C. R. (1991). General source-based method for solidification phase change. Numerical Heat Transfer, 19B, 175–189.CrossRefGoogle Scholar
Wallace, G. and Bergantz, G. W. (2005). Reconciling heterogeneity in crystal zoning data: an application of shared characteristic diagrams at Chaos Crags, Lassen Volcanic Center, California. Contributions to Mineralogy and Petrology, 149(1), 98–112.CrossRefGoogle Scholar
Wells, P. R. A. (1980). Thermal models for the magmatic accretion and subsequent metamorphism of continental crust. Earth and Planetary Science Letters, 46, 253–265.CrossRefGoogle Scholar
Winter, J. (2001). An Introduction to Igneous and Metamorphic Petrology. Upper Saddle River, NJ: Prentice-Hall.Google Scholar
Wolf, M. B. and Wyllie, P. J. (1994). Dehydration-melting of amphibolite at 10 kbar: the effects of temperature and time. Contributions to Mineralogy and Petrology, 115, 369–383.CrossRefGoogle Scholar
Wolff, J. A., Balsley, S. D. and Gregory, R. T. (2002). Oxygen isotope disequilibrium between quartz and sanidine from the Bandelier Tuff, New Mexico, consistent with a short residence time of phenocrysts in rhyolitc magma. Journal of Volcanology and Geothermal Research, 116(1–2), 119–135.CrossRefGoogle Scholar
Woods, A. W. (1995). The dynamics of explosive volcanic eruptions. Reviews of Geophysics, 33(4), 495–539.CrossRefGoogle Scholar
Woods, A. W. and Cardoso, S. S. S. (1997). Triggering of basaltic volcanic eruptions by bubble-melt separation. Nature, 385, 518–520.CrossRefGoogle Scholar
Woods, A. W. and Huppert, H. E. (2003). On magma chamber evolution during slow effusive eruptions. Journal of Geophysical Research, 108(B8), 2403.CrossRefGoogle Scholar
Wyllie, P. J. (1977). Crustal anatexis: An experimental review. Tectonophysics, 43, 41–71.CrossRefGoogle Scholar
Younker, L. W. and Vogel, T. A. (1976). Plutonism and plate tectonics: the origin of circum-Pacific batholiths. Canadian Mineralogist, 14, 238–244.Google Scholar

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