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Permeability and degassing of dome lavas undergoing rapid decompression: An experimental determination

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Abstract

The gas permeability of volcanic rocks may influence various eruptive processes. The transition from a quiescent degassing dome to rock failure (fragmentation) may, for example, be controlled by the rock’s permeability, in as much as it affects the speed by which a gas overpressure in vesicles is reduced in response to decompression. Using a modified shock-tube-based fragmentation bomb (Alidibirov and Dingwell 1996a,b; Spieler et al. 2003a), we have measured unsteady-state permeability at a high initial pressure differential. Following sudden decompression above the rock cylinder, pressurized gas flows through the sample. Two pressure transducers record the pressure signals above and below the sample. A transient 1D filtration code has been developed to calculate permeability using the experimental decay curve of the lower pressure transducer. Additionally an analytical steady-state method to achieve permeability is presented as an alternative to swiftly predict the sample permeability in a sufficiently precise manner. Over 100 permeability measurements have been performed on samples covering a wide range of porosity. The results show a general positive relationship between porosity and permeability with a high data scatter. Our preferred interpretation of the results is a combination of two different, but overlapping effects. We propose that at low porosities, gas escape occurs predominantly through microcracks or elongated micropores and therefore could be described by simplified forms of Kozeny–Carman relations (Carman 1956) and fracture flow models. At higher porosities, the influence of vesicles becomes progressively stronger as they form an increasingly connected network. Therefore, a model based on the percolation theory of fully penetrable spheres is used, as a first approximation, to describe the permeability-porosity trend. In the data acquired to date it is evident, that in addition to the porosity control, the sample’s bubble size, shape and distribution strongly influence the permeability. This leads to a range of permeability values up to 2.5 orders of magnitude at a given porosity.

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References

  • Alidibirov M, Dingwell DB (1996a) Magma fragmentation by rapid decompression. Nature 380:146–148

    Article  CAS  Google Scholar 

  • Alidibirov M, Dingwell DB (1996b) An experimental facility for the investigation of magma fragmentation by rapid decompression. Bull Volcanol 58:411–416

    Article  Google Scholar 

  • Blower JD (2001a) Factors controlling permeability-porosity relationships in magma. Bull Volcanol 63:497–504

    Article  Google Scholar 

  • Blower JD (2001b) A three-dimensional network model of permeability in vesicular material. Comp Geosci 7:115–119

    Article  Google Scholar 

  • Blower JD, Keating JP, Mader HM, Phillips JC (2001) Inferring volcanic degassing processes from bubble size distributions. Geophys Res Lett 28(2):347–350

    Article  Google Scholar 

  • Brace WF, Walsh JB, Frangos WT (1968) Permeability of granite under high pressure. J Geophys Res 73:2225–2236

    Google Scholar 

  • Carman PC (1956) Flow of gases through porous media. Academic Press, New York, pp 1–182

    Google Scholar 

  • Cashman KV, Sturtervant B, Papale P, Navon O (2000) Magmatic fragmentation. In: Sigurdsson H (ed) Encyclopedia of volcanoes. Academic Press, London, pp 421–430

    Google Scholar 

  • Cashman KV, Rust A, Wright H, Roberge J (2003) Permeability of Porous Rhyolite. Abstract EAE03-A-07543, EGS-AGU-EUG Joint Assembly 2003

  • Darcy HPG (1856) Les Fontaines Publique de la Ville de Dijon. Victor Dalmont, Paris, pp 1–647

    Google Scholar 

  • Dingwell DB (1996) Volcanic dilemma: Flow or blow? Science 273:1054–1055

    CAS  Google Scholar 

  • Dingwell DB (1998) Magma degassing and fragmentation. Recent experimental advances. In: Freundt A, Rosi M (eds) From Magma to Tephra. Modelling physical processes of explosive volcanic eruptions. Elsevier, Amsterdam, pp 1–23

    Google Scholar 

  • Doyen PM (1988) Permeability, conductivity, and pore geometry of sandstone. J Geophys Res 93:7729–7740

    Google Scholar 

  • Dullien FAL (1979) Porous media – fluid transport and pore structure. Academic Press, San Diego, pp 1–396

    Google Scholar 

  • Eichelberger JC, Carrigan CR, Westrich HR, Price RH (1986) Non-explosive silicic volcanism. Nature 323:598–602

    Article  CAS  Google Scholar 

  • Feng S, Halperin HI, Sen PN (1987) Transport properties of continuum systems near the percolation threshold. Phys Rev B 35:197–214

    Article  Google Scholar 

  • Hilfer R, Manwart C (2001) Permeability and conductivity for reconstruction models of porous media. Phys Rev E 64:021304

    Article  CAS  Google Scholar 

  • Innocentini MDM, Pardo ARF, Pandolfelli VC (2000) Pressure–Decay Technique for Evaluating the Permeability of Highly Dense Refractories. J Am Ceram Soc 83(1):220–222

    CAS  Google Scholar 

  • Jaupart C, Allegre CJ (1991) Eruption rate, gas content and instabilities of eruption regime in silicic volcanoes. Earth Planet Sci Lett 102:413–429

    Article  Google Scholar 

  • Katz AJ, Thompson AH (1986) Quantitative prediction of permeability in porous rock. Phys Rev B 34:8179–8181

    Article  CAS  Google Scholar 

  • Klug C, Cashman KV (1996) Permeability development in vesiculating magmas – implications for fragmentation. Bull Volcanol 58:87–100

    Article  Google Scholar 

  • Kozeny J (1927) Über kapillare Leitung des Wassers im Boden. Sitzungsber Akad Wiss Wien 136:271–306

    Google Scholar 

  • Lamb SH (1945) Hydrodynamics, 6th edn. Dover, New York, pp 1–738

    Google Scholar 

  • Langlois WE (1964) Slow viscous flow. MacMillan, New York, pp 1–229

    Google Scholar 

  • Liang Y, Price JD, Wark DA, Watson EB (2001) Nonlinear pressure diffusion in a porous medium: Approximate solutions with applications to permeability measurements using transient pulse-decay method. J Geophys Res 106:529–535

    Article  Google Scholar 

  • Melnik O (2000) Dynamics of two-phase conduit flow of high-viscosity gas-saturated magma: Large variations of sustained explosive eruption intensity. Bull Volcanol 62:153–170

    Article  Google Scholar 

  • Melnik O, Sparks RSJ (2002) Dynamics of magma ascent and lava extrusion at Soufrière Hills Volcano, Montserrat. In: Druitt TH, Kokelaar BP (eds) The eruption of Soufrière Hills Volcano, Montserrat, from 1995 to 1999. Geol Soc Lond, Memoirs 21, pp 153–171

  • Melnik O, Sparks RSJ (2004) Controls on conduit magma flow dynamics during lava-dome building eruptions. J Geophys Res Solid Earth, submitted

  • Mukhopadhyay S, Sahimi M (1994) Scaling behaviour of permeability and conductivity anisotropy near the percolation threshold. J Stat Phys 74(5–6):1301–1308

    Google Scholar 

  • Papale P (2001) Dynamics of magma flow in volcanic conduits with variable fragmentation efficiency and nonequilibrium pumice degassing. J Geophys Res 106(B6):11043–11065

    Article  Google Scholar 

  • Rose HE (1945a) An investigation into the laws of flow of fluids through beds of granular materials. Proc Inst Mech Eng, War Emergency Issues 1–12:141–147

    Google Scholar 

  • Rose HE (1945b) The isothermal flow of gases through beds of granular materials. Proc Inst Mech Eng, War Emergency Issues 1–12:148–153

    Google Scholar 

  • Rose HE (1945c) On the resistance coefficient-Reynolds number relationship for fluid flow through a bed of granular material. Proc Inst Mech Eng, War Emergency Issues 1–12:154–168

    Google Scholar 

  • Saar MO (1998) The Relationship Between Permeability, Porosity, and Microstructure in Vesicular Basalts. MSc. Thesis, University of Oregon, pp 1–101

  • Saar MO, Manga M (1999) Permeability-porosity relationship in vesicular basalts. Geophys Res Lett 26(1):111–114

    Article  Google Scholar 

  • Sahimi M (1994) Applications of Percolation Theory. Taylor and Francis, London, pp 1–300

    Google Scholar 

  • Sahimi M (1995) Flow and Transport in Porous Media and Fractured Rocks. VHC Verlagsgesellschaft mbH, Weinheim, pp 1–496

    Google Scholar 

  • Schopper J (1982) Permeability of rocks. In: Hellwege KH (ed) Landolt-Börnstein: Physikalische Eigenschaften der Gesteine, Vol. V/1a. Springer, Berlin, pp 278–303

  • Sparks RSJ (1978) The dynamics of bubble formation and growth in magmas: A review and analysis. J Volcanol Geotherm Res 3:1–37

    Article  CAS  Google Scholar 

  • Spieler O, Dingwell DB, Alidibirov M (2003a) Magma fragmentation speed: An experimental determination. J Volcanol Geotherm Res 129:109–123

    Article  Google Scholar 

  • Spieler O, Alidibirov M, Dingwell DB (2003b) Grain-size characteristics of experimental pyroclasts of 1980 Mount St Helens cryptodome dacite: Effects of pressure drop and temperature. Bull Volcanol 63:90–104

    Google Scholar 

  • Spieler O, Kennedy B, Kueppers U, Dingwell DB, Scheu B, Taddeucci (2004) The fragmentation threshold of pyroclastic rocks. Earth Planet Sci Lett 226:39–148

    Google Scholar 

  • Westrich HR, Eichelberger JC (1994) Gas transport and bubble collapse in rhyolite magma: An experimental approach. Bull Volcanol 56:447–458

    Article  Google Scholar 

  • Wilson L (1980) Relationships between pressure, volatile content and ejecta velocity in three types of volcanic explosions. J Volcanol Geotherm Res 8:297–313

    Article  Google Scholar 

Download references

Acknowledgements

The work presented in this paper was partially supported by the German Science Foundation (DFG, Di 431), the EU Project MULTIMO (Multi-Disciplinary Monitoring, Modelling and Forecasting of Volcanic Hazard), the German Ministry for Education and Science (BMBF, Project SUNDAARC) and INTAS-Project 01-0106. The authors would like to thank the members of the magma group at SMPG in Munich for helpful discussions, and Ben Kennedy (McGill University, Montreal) for his contributions and ideas. The paper highly benefit from the comments of M. Manga and an anonymous reviewer.

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Correspondence to Sebastian Mueller.

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Mueller, S., Melnik, O., Spieler, O. et al. Permeability and degassing of dome lavas undergoing rapid decompression: An experimental determination. Bull Volcanol 67, 526–538 (2005). https://doi.org/10.1007/s00445-004-0392-4

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