Effects of relative motion between gas and liquid on 1-dimensional steady flow in silicic volcanic conduits: 1. An analytical method

Journal of Volcanology and Geothermal Research

Volumn 180, Issue 1, 2009, Pages 21-36

  Kozono, Tomofumi ^a   Koyaguchi, Takehiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

analytical solution; conduit flow model; explosive and effusive eruptions; vertical gas escape

Indexed keywords

ARSENIC; ATMOSPHERIC PRESSURE; CONFINED FLOW; FLOW RATE; FLOWMETERS; FRICTION; GRAPHIC METHODS; HYDRODYNAMICS; STEADY FLOW; THREE TERM CONTROL SYSTEMS; TITRATION; VISCOSITY; VISCOSITY OF LIQUIDS; VOLCANOES;

ANALYTICAL SOLUTION; BUBBLY FLOWS; CONDUIT FLOW MODEL; EXPLOSIVE AND EFFUSIVE ERUPTIONS; EXPLOSIVE ERUPTIONS; FLOW CHANGES; GAS VOLUME FRACTION (GVF); INTERACTION FORCES; LIQUID VISCOSITIES; MAGMA ASCENT; MAGMA FLOW; MAGMA FRAGMENTATION; MAGMA TEMPERATURE; RELATIVE MOTIONS; SOUND VELOCITIES; VERTICAL GAS ESCAPE; VOLATILE CONTENTS; WALL FRICTION;

GASES;

ANALYTICAL METHOD; EXPLOSIVE VOLCANISM; MAGMA; ONE-DIMENSIONAL MODELING; PYROCLASTIC FLOW; STEADY FLOW; VOLCANIC ERUPTION;

EID: 58549096300     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jvolgeores.2008.11.006     Document Type: Article

References (31)

1. 2O to 10 kilobars, 700 °C to 1100 °C. Am. J. Sci. 274 (1974) 902-940
2. Carey S., and Sigurdsson H. The intensity of plinian eruptions. Bull. Volcanol. 51 (1989) 28-40
3. Dobran F. Non-equilibrium flow in volcanic conduits and application to the eruptions of Mt. St. Helens on May 18, 1980, and Vesuvius in ad 79. J. Volcanol. Geotherm. Res. 49 (1992) 285-311
4. Eichelberger J., Carrigan C., Westrich H., and Price R. Non-explosive silicic volcanism. Nature 323 (1986) 598-602
5. Hess K.U., and Dingwell D.B. Viscosities of hydrous leucogranitic melts: a non-Arrhenian model. Am. Mineral. 81 (1996) 1297-1300
6. Jaupart C., and Allegre C. Gas content, eruption rate and instabilities of eruption regime in silicic volcanoes. Earth Planet. Sci. Lett. 102 (1991) 413-429
7. Katto Y., and Sudo Y. Study of critical flow (completely separated gas-liquid two-phase flow). Bull. JSME 16 (1973) 1741-1749
8. Klug C., and Cashman K. Permeability development in vesiculating magmas: implications for fragmentation. Bull. Volcanol. 58 (1996) 87-100
9. Klug C., Cashman K., and Bacon C. Structure and physical characteristics of pumice from the climactic eruption of Mount Mazama (Crater Lake), Oregon. Bull. Volcanol. 64 (2002) 486-501
10. Koyaguchi T. An analytical study for 1-dimensional steady flow in volcanic conduits. J. Volcanol. Geotherm. Res. 143 (2005) 29-52
11. Mastin L., and Ghiorso M. A numerical program for steady-state flow of magma-gas mixtures through vertical eruptive conduits. U. S. Geol. Surv. Open-File Rep., 00-209 (2000) (53 pp.)
12. Melnik O. Dynamics of two-phase conduit flow of high-viscosity gas-saturated magma: large variations of sustained explosive eruption intensity. Bull. Volcanol. 62 (2000) 153-170
13. Melnik O., and Sparks R. Nonlinear dynamics of lava dome extrusion. Nature 402 (1999) 37-41
14. Melnik, O., Sparks, R., 2002. Dynamics of magma ascent and lava extrusion at Soufriére Hills Volcano, Montserrat. In: Druitt, T., Kokelaar, B. (Eds.), The Eruption of Soufriére Hills Volcano, Montserrat, from 1995 to 1999. Geological Society, London, Memoirs 21. pp. 153-171.
15. Melnik O., Barmin A., and Sparks R. Dynamics of magma flow inside volcanic conduits with bubble overpressure buildup and gas loss through permeable magma. J. Volcanol. Geotherm. Res. 143 (2005) 53-68
16. Mueller S., Melnik O., Spieler O., Scheu B., and Dingwell D. Permeability and degassing of dome lavas undergoing rapid decompression: an experimental determination. Bull. Volcanol. 67 (2005) 526-538
17. Papale P. Strain-induced magma fragmentation in explosive eruptions. Nature 397 (1999) 425-428
18. Proussevitch A., Sahagian D., and Anderson A. Dynamics of diffusive bubble growth in magmas: Isothermal case. J. Geophys. Res. 98 (1993) 22283-22307
19. Saar M., and Manga M. Permeability-porosity relationship in vesicular basalts. Geophys. Res. Lett. 26 (1999) 111-114
20. Slezin Y. The dynamics of dispersion regime in volcanic eruptions: 1. Theoretical description of magma movement through volcanic conduit (in Russian). Vulkanol. Sejsmol. 5 (1983) 9-17
21. Slezin Y. The mechanism of volcanic eruptions (a steady state approach). J. Volcanol. Geotherm. Res. 122 (2003) 7-50
22. Sparks R. The dynamics of bubble formation and growth in magmas: a review and analysis. J. Volcanol. Geotherm. Res. 3 (1978) 1-37
23. Takeuchi S., Nakashima S., Tomiya A., and Shinohara H. Experimental constraints on the low gas permeability of vesicular magma during decompression. Geophys. Res. Lett. 32 (2005) L10312
24. Toramaru A. Numerical study of nucleation and growth of bubbles in viscous magmas. J. Geophys. Res. 100 B2 (1995) 1913-1931
25. Wilson L., and Head J. Ascent and eruption of basaltic magma on the earth and moon. J. Geophys. Res. 86 (1981) 2971-3001
26. Wilson L., Sparks R., and Walker G. Explosive volcanic eruptions: IV. The control of magma properties and conduit geometry on eruption column behavior. Geophys. J. R. Astron. Soc. 63 (1980) 117-148
27. Woods A. The dynamics of explosive volcanic eruptions. Rev. Geophys. 33 (1995) 495-530
28. Woods A., and Koyaguchi T. Transitions between explosive and effusive eruptions of silicic magmas. Nature 370 (1994) 641-644
29. Yokoyama I. Growth rates of lava domes with respect to viscosity of magmas. Ann. Geophys. 48 (2005) 957-971
30. Yoshida S., and Koyaguchi T. A new regime of volcanic eruption due to the relative motion between liquid and gas. J. Volcanol. Geotherm. Res. 89 (1999) 303-315
31. Zhang Y. A criterion for the fragmentation of bubbly magma based on brittle failure theory. Nature 402 (1999) 648-650