Abstract
Kinetic and fluid dynamic constraints on deep-seated magma migration rates suggest ascent velocities in the range 10 to 30 m/s, 10−1 to 10 m/s and 10−2 to 5 m/s for kimberlitic, garnet peridotite-bearing and spinel peridotite-bearing alkalic magmas. These rates virtually demand translithospheric magma transport by a fracture as opposed to diapiric mechanism. The hypothesis that volatile exsolution accelerates magma through the deep lithosphere is tested by solution of the appropriate set of conservation, mass balance and volatile component solubility equations governing the steady ascent (decompression) of compressible, two-phase magma (melt+H2O+CO2) in which irreversible phenomena (friction, heat transfer) are accounted for. The results of the numerical experiments were designed to test the importance of melt bulk composition (kimberlite, nephelinite, alkali basalt), initial conditions (mass flux (M), heat transfer coefficient (B), lumped friction factor (C f )), conduit width (D), initial magma volatile content and geothermal gradients. The fractional increase in ascent rate (Δu/u i ) is rarely greater than approximately 2 during translithospheric migration. The propellant hypothesis is rejected as a first-order mechanism driving magma acceleration during ascent. The most influential parameters governing ascent dynamics are M, C f , D, B and the geotherm. Because of the relatively incompressible nature of the magmatic volatile phase at P>100 MPa, the initial magma volatile content plays a secondary (although demonstrable) role. The main role of volatiles is in controlling the initial magma flux (M) and the magma pressure during ascent. In adiabatic (B=0) simulations, magma ascends nearly isothermally. Generally, however, the assumption of adiabaticity is a poor one especially for flow through narrow (0.5 to 2 m) conduits in old (cold) lithosphere at rates ∼10−1 m/s. The proposed fluid dynamic model is consistent with and complementary to the magma-driven crack propagation models. The generation of mantle metasomatic fluid is a corollary of the non-adiabatic ascent of volatile-bearing magma through the lithosphere. Magma heat death is an important process for the creation of mantle heterogeneity.
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References
Aki K, Koyanagi R (1981) Deep Volcanic tremor and magma ascent mechanism under Kilauea, Hawaii. J Geophys Res 86:7095–7109
Aki K, Fehler M, Das S (1977) Source Mechanism of volcanic tremor: Fluid-driven crack models and their application to the 1963 Kilauea eruption. J Volcanol Geotherm Res 2:259–287
Anderson OL (1979) The Role of Fracture Dynamics in kimberlite pipe Formation. In: Boyd FR, Meyer HOA (eds) Kimberlites, Diatremes, and Diamonds: Their Geology, Petrology and Geochemistry. Am Geophy Union
Arculus RJ (1975) Melting behavior of two basanites in the Range 10 to 35 Kbar and the effect of TiO2 on the olivine-diopside reactions at high pressures. Carnegie Inst Wash Yearb 74:512–515
Bailey DK (1982) Mantle Metasomatism — continuing chemical change within the Earth. Nature 296:no. 5857:525–530
Bergman SC (1982) Geochemistry, Petrology and Geology of the Lunar Crater Volcanic Field, unpublished dissertation (Ph.D.). Princeton University, Princeton, NJ
Best MG (1974a) Mantle derived amphibole within inclusions in alkali basaltic lavas. J Geophys Res 79:2107–2113
Best MG (1974b) Contrasting types of Cr-spinel peridotite xenoliths in basanitic lavas, W. Grand Canyon, Arizona. Earth Planet Sci Lett 23:229–237
Best MG (1970) Kaersutite — peridotite inclusions and kindred megacrysts in basanitic lavas, Grand Canyon, Arizona. Contrib Mineral Petrol 27:25–44
Bird RB, Stewart WE, Lightfoot EN (1960) Transport Phenomena, John Wiley, New York
Boettcher AL, O'Neil JR (1980) Stable isotope, chemical and petrographic studies of high-pressure amphiboles and micas: Evidence for metasomatism in the mantle source regions of alkali basalts and kimberlites. Am J Sci 280-A: 594–621
Boettcher AL, O'Neil JR, Windom KE, Stewart DC, Wilshire HG (1979) Metasomatism of the Upper Mantle and the Genesis of Kimberlites and alkali basalts. In: Boyd et al. (eds) The Mantle Sample: Inclusions in Kimberlites and other Volcanics. Int Kimb Con, Am Geophys Union
Boettcher AL, Wyllie PJ (1969) Phase relationships in the system NaAlSiO4-SiO2-H2O to 35Kb. pressure. Am J Sci 267:875–909
Burnham CW, Davis NF (1974) The role of H2O in silicate melts: II. Thermodynamic and phase relations in the system NaAl-Si3O8-H2O to 10 kilobars, 700° C to 1,000° C. Am J Sci 274:902–940
Burnham CW, Davis NF (1971) The role of H2O in silicate melts I. P-V-T relations in the system NaAlSi3O8-H2O to 10 kilobars and 1,000° C. Am J Sci 270:54–79
Burnham CW, Holloway JR, Davis NF (1969) Thermodynamic properties of water to 1,000° C and 10,000 bars. Geol Soc Am Spec Pap 132:pp 96
Burnham CW, Johns RH (1962) A Method for determining the solubility of water in silicate melts. Am J Sci 260:721–745
Carmichael ISE, Nicholls J, Spera FJ, Wood BJ, Nelson SA (1977) High Temperature properties of silicate liquids: applications to the equilibration and ascent of basic magma. Phil Trans R Soc London A 286:373–431
Chapman NA (1976) Inclusions and Megacrysts from under saturated Tuffs and Basanites, East Fife, Scotland. J Petrol 17:472–498
Carnahan B, Luther HA, Wilkes JO (1969) Applied Numerical Methods. J Wiley, New York, pp 604
Cohen LH, Ito K, Kennedy GC (1967) Melting and phase relations in an anhydrous basalt to 40 kilobars. Am J Sci 265:475–518
Cooper JA, Green DH (1969) Lead isotope measurements on lherzolite inclusions and host basanites from Western Victoria, Australia. Earth Planet Sci Lett 6:69–76
Crisp J (1983) Rates of Magmatism. J Volcanol Geotherm Res 20:177–211
Delaney PT, Pollard DD (1982) Solidification of basaltic magma during flow in a dike. AJS 282:856–885
Eggler DH, Kadik AA (1979) The system NaAlSi3O8 -H2O-CO2 to 20 Kbar pressure: I Compositional and Thermodynamic relations of liquids and vapors coexisting with albite. Am Mineral 64:1036–1048
Eggler DH (1978) The effect of CO2 upon partial melting of peridotite in the system Na2O-CaO-Al2O3-MgO-SiO2-CO2 to 35 kb, with an analysis of melting in a peridotite-H2O-CO2 system. Am J Sci 278:305–343
Eggler DH (1974) The effect of CO2 on the melting of peridotite. Carnegie Inst Wash Yearb 73:215–224
Feigenson M, Spera FJ (1981) Technique for the rheologic study of high-viscosity melts. EOS Trans Am Geophys Union (abstr) 67:426–427
Feigenson M (1981) Aspects of the petrology of Oceanic basalts: I Geochemistry of Kohala Volcano, Hawaii. II. Petrochemistry of sea-floor basalts associated with Manganese ores from California. III. Rheology of Subliquidus basalts and other Silicate melts. Ph.D. Dissertation, Princeton University, Princeton, NJ
Flowers G (1977) Correction of Holloway's (1977) Adaption of the Modified Redlich-Kwong Equation of State for Calculation of the fugacities of Molecular Species in Supercritical fluids of Geologic interest. Contrib Mineral Petrol 69:315–318
Fowler AC (1984) A mathematical model of magma transport in the asthenosphere, preprint
Freund F, Kathrein H, Wengeler H, Knobel H, Heinen HJ (1980) Carbon in solid solution in forsterite-A key to the untractable nature of reduced carbon in terrestrial and cosomogenic rocks. Geochim Cosmoch Acta 44:1319–1333
Freund F, Wengeler H, Kathrein H, Knobel R, Oberheuser G, Maiti G, Reil D, Knipping U, Kotz J (1983) Hydrogen and Carbon derived from dissolved H2O and CO2 in minerals and melts. Bull Mineral 106:185–200
Frey FA, Prinz M (1978) Ultramafic inclusions from San Carlos, Arizona: Petrologic and Geochemical data bearing on their petrogenesis. Earth Planet Sci Lett 38:129–176
Frey FA, Green DH (1974) The mineralogy geochemistry and origin of lherzolite inclusions in Victorian basanites. Geochim Cosmochim Acta 38:1023–1059
Fujii T, Scarfe CM (1982) Petrology of Ultramafic Nodules from West Kettle River, near Kelowna, Southern British Colombia. Contrib Mineral Petrol 80:297–306
Ghent ED, Coleman RG, Hadley DG (1980) Ultramafic inclusions and host Alkali Olivine basalts of the Southern Coastal Plain of the Red Sea, Saudi Arabia. Am J Sci 280-A:499–527
Grove TL (1982) Use of exsolution lamellae in lunar clinopyroxene as cooling rate speedometers: an experimental calibration. Am Mineral 67:251–268
Hamilton DL, Burnham CW, Osborn EF (1964) The solubility of water and effects of oxygen of water and effects of oxygen fugacity and water content on crystallization in mafic magmas. J Petrol 5:21–39
Harte B (1983) Mantle peridotites and processes — the kimberlite sample. In: Hawkesworth CJ, Norry MJ (eds). Continental Basalts and Mantle Xenoliths. Shiva Publ Co. 46–91
Hauksson E (1983) Episodic Rifting and Volcanism at Krafla in North Iceland: Growth of Large Ground Fissures along the plate Boundary. J Geophys Res 88:625–636
Helgeson HC, Kirkham (1974) Theoretical Prediction of the Thermodynamic behavior of aqueous electrolytes at high Pressures and Temperatures: I: Summary of the Thermodynamic/electrostatic properties of the Solvent. Am J Sci 274:1089–1198
Hill DP (1977) A Model for Earthquake Swarms. J Geophys Res 82:1347–1352
Hodges FN (1974) The solubility of H2O in silicate melts. Carnegie Inst Wash Yearb 73:251–255
Hofmann AW, Magaritz M (1977) Diffusion of Ca, Sr, Ba, and CO in a basalt melt: Implications for the Geochemistry of the mantle. J Geophys Res 82:5432–5438
Holloway JR (1977) Fugacity and activity of molecular species in supercritical fluid. In: Fraser D, Reidel D (eds). Thermodynamics in Geology. Dordrecht-Holland, pp 161–181
Horton RM, Horton MD (1972) The high-pressure graphitization of diamond. High Temperatures — High Pressures 4:39–48
Housley RM (1978) Modelling Lunar Eruptions. Proc 9th Lunar Planet Sci Conf 1473–1484
Irving AJ (1980) Petrology and Geochemistry of composite ultramafic xenoliths in alkalic basalts and implications for magmatic processes within the mantle. Am J Sci 208-A:389–426
Kadik AA, Lukanin OA, Lebedev YB, Korovushkina E (1972) Solubility of H2O and CO2 in granite and basalt melts at high pressures. Gokhimiya 12:1549–1560 (in Russian)
Kadik AA, Lebeder YB (1969) Temperature dependence of the solubility of water in an albite melt at high pressures, Geochim Int 73:6023–6029
Kay JM (ed) (1968) An Introduction to Fluid Mechanics and Heat Transfer 2nd. Cambridge University Press
Kerrick DM, Jacobs GK (1981) A modified Redlich-Kwong Equation for H2O, CO2 and H2O-CO2 mixtures at elevated pressures and temperatures. AJS 281:735–767
Khitarov NI, Lebedev EB, Regartan EV, Arseneva RV (1959) Solubility of water in basaltic and granitic melts. Geochemistry 5:479–492
Kleeman JD, Green DH, Lovering JF (1969) Uranium distribution in ultramafic inclusions from Victorian basalts. Earth Planet Sci Lett 5:449–458
Klein FW (1982) Earthquakes at Loihi Submarine Volcano and the Hawaiian Hot Spot. J Geophys Res 87:7719–7726
Klein FW, Einarsson P, Wyss M (1977) The Reykjanes Peninsula, Iceland, Earthquake swarm of September 1972 and its tectonic significance. J Geophys Res 82:865–888
Lang AR (1972) Pressure and temperature gradients in ascending fluids and magmas. Nature 238:98–100
Littlejohn AL, Greenwood HJ (1974) Lherzolite nodules in basalts from British Columbia, Canada. Can J Earth Sci 11:1288–1308
Lovelace RW (1984) Origins of fluid and glass inclusions in mafic and ultramafic xenoliths from volcano Teneguia, La Palma, Canary Islands, Spain. Unpubl A.B. Thesis, Princeton University, pp 76
Marsh BD (1981) On the Crystallinity, Probability of Occurrence, and rheology of Lava and Magma. Contrib Mineral Petrol 78:85–98
Marsh BD (1978) On the cooling of ascending andesitic magma. Phil Trans R Soc Lond A 288:611–625
Marsh BD, Kantha LH (1978) On the Heat and Mass Transfer from an Ascending Magma. Earth Planet Sci Lett 39:435–443
Marsh BD (1976) Mechanics of Benioff Zone magmatism. In: Sutton GH, Manghani MH, Moberly RH (eds). Geophysics of the Pacific Ocean and its Margin. Am Geophys Union 19:337–350
McCallister RH, Meyer HOA, Aragon R (1979) Partial thermal history of two exsolved clinopyroxenes from the thaba Putsoa kimberlite pipe, Lesotho. In: Boyd FR, Meyer HO (eds.) The mantle Sample: Inclusions in kimberlites and other volcanics, vol 2. Am Geophys Union, Washington, D.C., USA
McGetchin TR, Ullrich GW (1973) Xenoliths in Maars and Diatremes with inferences for the Moon, Mars and Venus. J Geophys Res 78:1833–1854
McGetchin TR, Nikhanj YS (1973) Carbonatite-Kimberlite Relations in the Cane Valley Diatreme, San Juan County, Utah. J Geophys Res 78:1854–1868
Mercier JC (1979) Peridotite xenoliths and the dynamics of kimberlites intrusion. In: Boyd FR, Meyer HO (eds.) The Mantle Sample: Inclusions in Kimberlites and other Volcanics, vol 2. Am Geophy Union Washington, D.C., USA
Millhollen GL, Irving AJ, Wyllie PJ (1974) Melting Interval of peridotite with 5.7 percent water to 30 kilobars. J Geol 82:575–587
Millhollen GL, Wyllie PJ (1974) Melting Relations of brown hornblende mylonite from St. Paul's Rocks under water saturated and water undersaturated conditions to 30 kilobars. J Geol 82:589–606
Morris S (1982) The effects of a strongly temperature-dependent viscosity on slow flow past a hot sphere. J Fluid Mech:1–26
Murase T, McBirney AR (1973) Properties of some common igneous rocks and their melts at high temperatures. Geol Soc Am Bull 84:3563–3592
Murck B, Burruss R, Hollister L (1978) Phase equilibrium in fluid inclusions in ultramafic xenoliths. Am Mineral 63:40–46
Nelson SA, Carmichael ISE (1979) Partial Molar Volumes of oxide components in Silicate Liquids. Contrib Mineral Petrol 71:117–124
Nicholls J (1980) A Simple Thermodynamic Model for estimating the solubility of H2O in magmas. Contrib Mineral Petrol 74:211–220
Oberheuser G, Kathrein H, Demortier G, Gonska H, Freund F (1983) Carbon in olivine single crystals analyzed by the 12C(d,p)13C method and by photoelectron spectroscopy. Geochim Cosmochim Acta 47:1117–1129
O'Hara MJ, Richardson SW, Wilson G (1971) Garnet peridotite stability and occurrence in crust and mantle. Contrib Mineral Petrol 32:48–68
Oxtoby S, Hamilton DL (1978) Calculation of the solubility of water in granitic melts. In: Mackenzie WS (ed) Progress in Experimental Petrology, Natural Environment Research Council, Great Britain, 4th Progress Report, pp 37–40
Pinkerton H, Sparks RS (1978) Field Measurements of the Rheology of lava. Nature 276:383–385
Roedder E (1965) Liquid CO2 inclusions in olivine-bearing nodules and phenocrysts from basalts. Am Mineral 50:1746–1782
Rohsenow WM, Choi HY (1962) Heat Mass and Momentum Transfer. Prentice-Hall, New Jersey, p 537
Ryabchikov ID, Schreyer W, Abraham K (1982) Compositions of Aqueous Fluids in Equilibrium with Pyroxene and Olivines at Mantle Pressures and Temperature. Contrib Mineral Petrol 79:80–84
Ryabchikov ID, Boettcher AL (1980) Experimental Evidence at high Pressure for potassic metasomatism in the mantle of the Earth. Am Mineral 65:915–919
Ryan MP, Blevins JYK, Okamura AT, Koyanagi RY (1983) Magma reservoir subsidence mechanics theoretical summary and application to Kilauea Volcano, Hawaii. J Geophys Res 88:4147–481
Scarfe CM (1973) Water Solubility in basic and ultrabasic magmas. Nature Phys Sci 246:9–10
Shames IH (1982) Mechanics of Fluids. 2nd Ed, McGraw Hill, New York, p 725
Shapiro AH (1953) The Dynamics and Thermodynamics of Compressible Fluid Flow. Vol 1, John Wiley, New York, p 647
Sharp WE (1962) The Thermodynamic functions for water in the range −10 to 1,000° C and 1 to 250,000 bars, Livermore, Calif. Univ Calif Lawrence Rad Lab, UCRL-7118, p 51
Shaw HR (1980) The fracture mechanisms of magma transport from the mantle to the surface. In: Hargraves RB (ed.) Physics of Magmatic Processes. Princeton University Press, Princeton, pp 201–264
Shaw HR (1974) Diffusion of H2O in granitic liquids, Part I, Experimental data; Part II, Mass transfer in magma chambers. In: Hoffman AW, Gilletti BJ, Yoder HS, Yund RA (eds). Geochemical Transport and Kinetics. Carnegie Inst Wash Yearb:139–170
Shaw HR (1972) Viscosities of magmatic silicate liquids: an empirical method of prediction. Am J Sci 272:870–893
Shaw HR (1969) Rheology of basalt in the melting range. J Petrol 10:510–535
Shaw HR, Peck DL, Wright TL, Okamura R (1968) The viscosity of basaltic magma: An analysis of field measurements in Makaopuhi lava lake. Hawaii. Am Jour Sci 266:255–264
Shaw HR (1965) Comments on viscosity, crystal settling and convection in granitic systems. Am J Sci 272:120–152
Shmonov VM, Shmulovich KI (1974) Molal volumes and CO2 at temperatures from 100–1,000° C and pressures. Doklady Akad Nauk SSSR 217:206–209
Shmulovich KI, Shmonov VM (1975) Fugacity coefficients for CO2 from 1.0132 to 10,000 bar and 450–1,300° K. Geokhimiya 4:551–555
Sibree JO (1934) The viscosity of froth. Faraday Soc Trans 30:325–331
Smyth JR, Hatton CJ (1977) A Coesite-Sanidine Grospydite from the Roberts Victor Kimberlite. Earth Planet Sci Lett 34:284–290
Solovova IP, Ryabchikov ID, Kovalenko VI, Naumov VB (1982) High density CO2 inclusions in mantle lherzolite. Doklady Akademii Nauk SSSR 263:179–182
Sparks RS, Pinkerton H, MacDonald R (1977) The transport of xenoliths in magmas. Earth Planet Sci Lett 35:234–238
Spence DA, Turcotte DL (1983) A magma fracture model for magma migration and the injection of dikes and sills, EOS. Trans Am Geophys Union 64:850
Spence DA, Turcotte DL (1984b) Magma driven propagation of cracks. Preprint
Spengler CJ, Burnham CW (1966) Cuoted by Clark (1966): Solubility In: Clark SP Jr (ed) Handbook of Physical Constants. Geol Soc Am Mem 97:415–436
Spera FJ, Yuen DA, Kirschvink SJ (1982) Thermal boundary layer convection in Silicic Magma Chambers: Effects of Temperature dependent Rheology and Implications for Thermogravitation Chemical fractionation. J Geophys Res 87:8755–8667
Spera FJ (1982) Ascent and Eruption of Alkali Basalt: Energetics and Dynamics. Geol Soc Am Abstr Prog 15:7
Spera FJ (1981) Carbon Dioxide in Igneous Petrogenesis II: Fluid dynamics of mantle metasomatic processes. Contrib Mineral Petrol 77:56–65
Spera FJ (1980) Aspects of Magma Transport. In: Hargraves R (ed) Physics of Magmatic Processes. Princeton University Press, Princeton, NJ, pp 265–323
Spera FJ, Bergman SC (1980) Carbon Dioxide in Igneous Petrogenesis: I. Contrib Mineral Petrol 74:55–66
Spera FJ (1977) Aspects of the Thermodynamic and Transport Behavior of Basic Magmas, Ph.D. Dissertation Unpublished, University of California at Berkeley
Spera FJ (1974) A thermodynamic basis for predicting water solubilities in silicate melts and implications for the low velocity zone. Contrib Mineral Petrol 45:175–186
Stern CR, Wyllie PJ (1973) Water-saturated and undersaturated melting relations of a granite to 35 kilobars. Earth Planet Sci Lett 18:163–7
Stevenson DJ (1983) Magmatic transport by the migration of fluid-filled cracks. EOS Trans Am Geophys Union (abstr) 64:848
Stolper E (1982) On the speciation of water in silicate melts. Geochim Cosmochim Acta 46:2609–2620
Stolper E, Walker D, Hager BH, Hays JF (1981) Melt Segregation from partially molten source regions: The importance of melt density and source region size. J Geophys Res 86:6261–6271
Swanson DA, Wright TL, Helz RT (1975) Linear vent systems and estimated rates of magma production and eruption for the Yakima basalt on the Columbia Plateau. Am J Sci 275:877–905
Vilminot JC (1965) Les enclaves dee peridotite et de pyroxenite a spinelle dans le basalte du Rocher du Lion (Chaine du Deves — Haute Loire. Soc Franc Mineral Cristallogr Bull 88:109–118
Walker GPL (1958) Geology of the Reydarfjordur area, eastern Iceland: Geol Soc Lond Quart J 114:367–390
Wallis GB (1969) One-dimensional Two-phase Flow. McGraw-Hill, New York, p 408
Wanamaker BJ, Bergman SC, Evans B (1982) Crack Healing in Silicates: Observations on Natural lherzolite Nodules. Trans Am Geophys Union 63:437
White RW (1966) Ultramafic inclusions in basaltic rocks from Hawaii. Contrib Mineral Petrol 12:245–314
Wilson L, Sparks RSJ, Walker GPL (1980) Explosive volcanic eruptions-IV. The control of magma properties and conduit geometry on eruption column behavior. Geophys J R Astron Soc:117–148
Wyllie PJ (1980) The origin of kimberlite. J Geophys Res 85:6902–6910
Wyllie PJ (1979) Magmas and volatile components. Am Mineral 64:469–500
Wyllie PJ (1978) Mantle fluid Compositions buffered in peridotite CO2-H2O by carbonates, amphibole, and phlogopite. J Geol 86:687–713
Wyllie PJ, Huang WL (1976) High CO2 solubilities in mantle magmas. Geology 4:21–24
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Spera, F.J. Carbon dioxide in petrogenesis III: role of volatiles in the ascent of alkaline magma with special reference to xenolith-bearing mafic lavas. Contr. Mineral. and Petrol. 88, 217–232 (1984). https://doi.org/10.1007/BF00380167
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DOI: https://doi.org/10.1007/BF00380167