Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-24T02:02:58.987Z Has data issue: false hasContentIssue false
  • English
  • Français

COMPONENTS AND PHASES: MODELLING PROGRESSIVE HYDROTHERMAL ERUPTIONS

Part of: Geophysics Geophysics (general)

Published online by Cambridge University Press:  03 November 2009

ROBERT MCKIBBIN ,
THOMASIN A. SMITH  and
LUKE FULLARD
ROBERT MCKIBBIN*
Affiliation:
Institute of Information and Mathematical Sciences, Massey University, New Zealand (email: [email protected])
THOMASIN A. SMITH
Affiliation:
Institute of Fundamental Sciences, Massey University, New Zealand (email: [email protected])
LUKE FULLARD
Affiliation:
Institute of Fundamental Sciences, Massey University, New Zealand (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This is a review of progress made since [R. McKibbin, “An attempt at modelling hydrothermal eruptions”, Proc. 11th New Zealand Geothermal Workshop 1989 (University of Auckland, 1989), 267–273] began development of a mathematical model for progressive hydrothermal eruptions (as distinct from “blasts”). Early work concentrated on modelling the underground process, while lately some attempts have been made to model the eruption jet and the flight and deposit of ejected material. Conceptually, the model is that of a boiling and expanding two-phase fluid rising through porous rock near the ground surface, with a vertical high-speed jet, dominated volumetrically by the gas phase, ejecting rock particles that are then deposited on the ground near the eruption site. Field observations of eruptions in progress and experimental results from a laboratory-sized model have confirmed the conceptual model. The quantitative models for all parts of the process are based on the fundamental conservation equations of motion and thermodynamics, using a continuum approximation for each of the components.

Keywords

hydrothermal eruptionsboiling in porous mediaeruption column

MSC classification

Secondary: 86A99: Miscellaneous topics 86A15: Seismology
Type
Research Article
Information
The ANZIAM Journal , Volume 50 , Issue 3: This Special Issue is dedicated to Dr Stephen White , January 2009 , pp. 365 - 380
Copyright
Copyright © Australian Mathematical Society 2009

References

[1]Bercich, B. J. and McKibbin, R., “Modelling the development of natural hydrothermal eruptions” (corrigendum), Proceedings of the 14th New Zealand Geothermal Workshop 1992 (University of Auckland, 1992), 305–312.Google Scholar
[2]Bercich, B. J. and McKibbin, R., “Modelling the development of natural hydrothermal eruptions”, Proceedings of the 15th New Zealand Geothermal Workshop 1993 (University of Auckland, 1993), 345–346.Google Scholar
[3]Bixley, P. F. and Browne, P. R. L., “Hydrothermal eruption potential in geothermal development”, Proceedings of the 10th New Zealand Geothermal Workshop 1988 (University of Auckland, 1988), 195–198.Google Scholar
[4]Browne, P. R. L. and Lawless, J. V., “Characteristics of hydrothermal eruptions, with examples from New Zealand and elsewhere”, Earth Science Reviews 52 (2001) 299–331.Google Scholar
[5]Fullard, L., “Hydrothermal eruption model in 2 and 3 dimensions”, Honours Project, Massey University, Palmerston North, New Zealand, November 2007.Google Scholar
[6]Germanovich, L. N. and Lowell, R. P., “The mechanism of phreatic eruptions”, J. Geophys. Res. 100 (1995) 8417–8434.Google Scholar
[7]Luketina, K. M., “The history and application of geyser theory”, Post-graduate Diploma of Science Dissertation, Auckland University, 1996.Google Scholar
[8]Mastin, L. G., “Thermodynamics of gas and steam-blast eruptions”, Bull. Volcanology 57 (1995) 85–98.CrossRefGoogle Scholar
[9]McKibbin, R., “An attempt at modelling hydrothermal eruptions”, Proc. 11th New Zealand Geothermal Workshop 1989 (University of Auckland, 1989), 267–273.Google Scholar
[10]McKibbin, R., “Mathematical modelling of hydrothermal eruptions”, Geothermal Resources Council Transactions 14 (1990) 1309–1316. (Presented at 1990 International Symposium on Geothermal Energy.)Google Scholar
[11]McKibbin, R., “Could non-condensible gases affect hydrothermal eruptions?”, Proceedings of the 18th New Zealand Geothermal Workshop 1996 (University of Auckland, 1996), 323–330.Google Scholar
[12]McKibbin, R., “Modelling deposition of hydrothermal eruption ejecta”, Conference Proceedings: New Zealand Geothermal Workshop & NZGA Seminar, 15–17 November 2006 (University of Auckland, 2006).Google Scholar
[13]McKibbin, R., “Modelling pollen distribution by wind through a forest canopy”, JSME Internat. J. Ser. B 49 (2006) 583–589.CrossRefGoogle Scholar
[14]McKibbin, R., Lim, L. L., Smith, T. A. and Sweatman, W. L., “A model for dispersal of eruption ejecta”, Proc. World Geothermal Congress 2005, Antalya, Turkey (International Geothermal Association, 2005). Paper no. 0715. ISBN 975-98332-0-4.Google Scholar
[15]McKibbin, R. and Smith, T. A., “Hydrothermal eruption jets: air entrainment and cooling”, Conference Proceedings: New Zealand Geothermal Workshop & NZGA Seminar, 15–17 November 2006 (University of Auckland, 2006).Google Scholar
[16]Rynhart, P. R., McKibbin, R. and Kelly, D. R., “Modelling the flight of hydrothermal eruption ejecta”, Proceedings of the 22nd New Zealand Geothermal Workshop 2000 (University of Auckland, 2000), 189–195.Google Scholar
[17]Smith, T. A., “Mathematical modelling of underground flow processes in hydrothermal eruptions”, Ph. D. Thesis, Massey University, Palmerston North, New Zealand, 2000.Google Scholar
[18]Smith, T. A. and McKibbin, R., “Modelling of hydrothermal eruptions: a review”, Proc. 19th New Zealand Geothermal Workshop 1997 (University of Auckland, 1997), 123–128.Google Scholar
[19]Smith, T. A. and McKibbin, R., “Towards a hydrothermal eruption model”, Proceedings of the 20th New Zealand Geothermal Workshop 1998 (University of Auckland, 1998), 387–392.Google Scholar
[20]Smith, T. A. and McKibbin, R., “An investigation of boiling processes in hydrothermal eruptions”, Proc. 21st New Zealand Geothermal Workshop 1999 (University of Auckland, 1999), 229–236.Google Scholar
[21]Smith, T. A. and McKibbin, R., “An investigation of boiling processes in hydrothermal eruptions”, in: Proc. World Geothermal Congress 2000, Tokyo, Japan (eds E. Eglesias, D. Blackwell, T. Hunt, J. Lund, S. Tamanyu and K. Kimbora), (International Geothermal Association, 2000) 699–704.Google Scholar
[22]Smith, T. A. and McKibbin, R., “Modelling hydrothermal eruptions”, New Zealand Sci. Review 60 (2003) 134–136.Google Scholar
[23]Wohletz, K. H. and Valentine, G. A., “Computer simulations of explosive volcanic eruptions”, in: Magma transport and strorage (ed. M. P. Cyan), (Wiley, London, 1990) Chapter 8, 113–135.Google Scholar