Abstract
This chapter presents an overview of physical models of collapsing volcanic columns and pyroclastic flows, and outlines the future modeling prospects on this topic. After a presentation of the modeling approach and a critical review of the developed one-dimensional, steady-state, and homogeneous flow models, the paper describes the main features and results of the more advanced two-dimensional, transient, and two-phase flow models. Such models describe the collapsing volcanic column and pyroclastic flow behavior on an axisymmetric physical domain extending several kilometers in radial and vertical directions, and account for the mechanical and thermal non-equilibrium between gas and solid particles. In the more complete modeling developed to date, the gas phase is composed of hot water vapor leaving the vent and atmospheric air, and the solid phase takes into account one particle size class. Particle collisions are modeled by a kinetic theory for granular flows, and turbulence effects are described by a subgrid scale model in terms of an effective viscosity. The model is able to describe very complex processes related to the dynamics of collapsing volcanic columns and pyroclastic flows, such as eruptive column collapse, the rising of hot plumes from the fountain, the formation of co-ignimbritic clouds from the flow, particle sedimentation effects, and mass-flow rate pulsations of the flow. Preliminary applications to historical eruptions as well as laboratory experiments seem to be consistent with model predictions and are an incentive for new investigations. Despite these important results, such consistency is only qualitative and new greater efforts must be carried out in order to overcome the present modeling limits. This paper tries to outline the future modeling prospects and needs in order to reach an adequate model of collapsing volcanic columns and pyroclastic flows. With this model it will be possible to assess, better than in the past, the volcanic hazard associated with these catastrophic phenomena.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Adeniji-Fashola A, Chen CP (1990) Modeling of confined fluid-particle flows using Eulerian and Lagrangian schemes. Int J Heat Mass Transfer 33: 691–701
Anilkumar AV, Sparks RSJ, Sturtevant B (1993) Geological implications and applications of high-velocity two-phase flow experiments. J Volcanol Geotherm Res 56: 145–160
Aramaki S (1961) Classification of pyroclastic flows. Int Geol Rev 3: 518–524
Bouillard JX, Lyczkowsky RW, Gidaspow D (1989) Porosity distributions in a fluidized bed with an immersed obstacle. AIChE J 35: 908–922
Carey SN, Sigurdsson H (1987) Temporal variations in column height and magma discharge rate during the 79 AD eruption of Vesuvius. Geol Soc Am Bull 99: 303–314
Carey SN, Sigurdsson H, Sparks RSJ (1988) Experimental studies of particle-laden plumes. J Geophys Res 93: 15314–15328
Carey SN, Sigurdsson H, Sparks RSJ (1988) Experimental studies of particle-laden plumes. J Geophys Res 93: 15314–15328
Cas RAF, Wright JV (1987) Vulcanic successions: modern and ancient. Allen and Unwin, Winchester
Chapman S, Cowling TG (1970) The mathematical theory of nonuniform gases. Cambridge University Press, London
Coniglio S, Dobran F (1994) Simulations of magma ascent along conduits and pyroclastic dispersions at Vulcano (Aeolian Islands, Italy). J Volcanol Geotherm Res 65: 297-
Crowe CT (1982) Review: numerical models for dilute gas-particle flows. J Fluids Eng 104: 297–303
Denlinger RP (1987) A model for generation of ash clouds by pyroclastic flows, with application to the 1980 eruption to Mt. St. Helens, Washington. J Geophys Res 92: 10284–10298
Ding J, Gidaspow D (1990) A bubbling fluidization model using kinetic theory of granular flow. AIChE J 36: 523–538
Ding J, Lyczkowsky RW (1992) Three-dimensional kinetic theory modeling of hydrodynamics and erosion in fluidized beds. Powder Technol 73: 127–138
Dobran F (1985) Theory of multiphase mixtures. Int J Multiphase Flow 11: 1–30
Dobran F (1991) Theory of Structured Multiphase Mixtures. Springer, Berlin Heidelberg New York
Dobran F (1992) Nonequilibrium 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: 285–311
Dobran F (1993) Global volcanic simulation of Vesuvius. Gruppo Nazionale per la Vulcanologia. Giardini, Pisa
Dobran F, Barberi F, Casarosa C (1990) Modeling of volcanological processes and simulation of volcanic eruptions. Gruppo Nazionale per la Vulcanologia. Giardini, Pisa
Dobran F, Neri A, Macedonio G (1993) Numerical simulation of collapsing volcanic columns. J Geophys Res 98: 4231–4259
Dobran F, Neri A, Todesco M (1994) Assessing the pyroclastic flow hazard at Vesuvius. Nature 367: 551–554
Fisher RV (1979) Models for pyroclastic surges and pyroclastic flows. J Volcanol Geotherm Res 6: 305–318
Fisher RV, Schmincke HU (1984) Pyroclastic rocks. Springer, Berlin Heidelberg New York
Gidaspow D (1986) Hydrodynamics of fluidization and heat transfer: supercomputing modeling. Appl Mech Rev 39: 1–23
Gidaspow D (1994) Multiphase flow and fluidization. Continuum and kinetic theory descriptions. Academic Press, New York
Giordano G, Dobran F (1994) Computer simulations of the Tuscolano Artemisio’s II pyroclastic flow unit (Alban Hills, Latium, Italy). J Volcanol Geotherm Res 61: 45–68
Grove N (1992) Volcanoes: Crucibles of creation. Natl Geogr Mag 182: 5–41
Harlow FH, Amsden AA (1975) Numerical calculation of multiphase fluid flow. J Comput Phys 17: 19–52
Himmelblau DM (1970) Process analysis by statistical methods. John Wiley, New York
Hoblitt RP (1986) Observations of the July 22 and August 7, 1980 eruptions and pyroclastic flows at Mount St. Helens, Washington. U S Geol Surv Prof Pap 1335
Horn M (1989) DANIEL: a computer code for high speed dusty gas with multiple particle sizes. Los Alamos National Laboratory LA-11445-MS, Los Alamos, New Mexico
Hsü KJ (1975) Catastrophic debris streams (Sturzstroms) generated by rockfalls. Geol Soc Am Bull 86: 129–140
Huppert HE (1986) The intrusion of fluidmechanics into geology. J Fluid Mech 173: 557–594
Huppert HE, Turner JS, Carey SN, Sparks RSJ, Hallworth MA (1986) A laboratory simulation of pyroclastic flows down slopes. J Volcanol Geotherm Res 30: 179–199
Ishii M (1975) Thermo-fluid dynamic theory of two-phase flows. Eyrolles, Paris
Jenkins JT, Savage SB (1983) A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J Fluid Mech 130: 187–202
Kieffer SW (1984) Factors governing the structure of volcanic jets. In: Explosive volcanism: inception, evolution, and hazards. National Academy Press, Washington, DC, pp 143–157
Kieffer SW, Sturtevant B (1984) Laboratory studies of volcanic jets. J Geophys Res 89: 8253–8268
Lun CKK, Savage SB, Jeffrey DJ, Chepurnity N (1984) Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flow field. J Fluid Mech 140: 223–256
Macedonio G, Dobran F, Neri A (1994) Erosion processes in volcanic conduits and an application to the AD 79 eruption of Vesuvius. Earth Planet Sci Lett 121: 137–152
Malin MC, Sheridan MF (1982) Computer-assisted mapping of pyroclastic surges. Science 217: 637–640
Mostafa AA, Mongia HC (1988) On the interaction of particles and turbulent fluid flow. Int J Heat Mass Transfer 31: 2063–2075
Neri A, Dobran F (1994) Influence of eruption parameters on the thermo-fluid dynamics of collapsing volcanic columns. J Geophys Res 99: 11833–11857
Ogawa S, Umemura A, Oshima N (1980) On the equations of fully fluidized granular materials. Z Angew Math Phys 31: 483–493
Papale P, Dobran F (1993) Modeling of the ascent of magma during the plinian eruption of Vesuvius in AD 79. J Volcanol Geotherm Res 58: 101–132
Papale P, Dobran F (1994) Magma flow along the volcanic conduit during the plinian and pyroclastic flow phases of the May 18, 1980 Mt. St. Helens eruptions. J Geophys Res 99: 4355–4373
Ramos JI (1991) Simulation of global volcanic systems: numerical and computer implementation challenges. In: Dobran F, Mulargia F (eds) Prospects for the simulation of volcanic eruptions. Giardini, Pisa
Rampino MR, Self S (1982) Historic eruptions of Tambora (1815), Krakatau (1883), and Agung (1963); their stratospheric aerosols and climatic impact. Quat Res 18: 127–143
Rose WI Jr, Pearson T, Boris S (1977) Nuèe ardente eruption from the foot of a dacite lava flow, Santaguito volcano, Guatemala. Bull Volcanol 40: 1–16
Rosi M, Principe C, Vecci R (1993) The 1631 Vesuvian eruption: a reconstruction based on historical and stratigraphical data. J Volcanol Geotherm Res 58: 151–182
Savage SB (1979) Gravity flow of cohesionless granular materials in chutes and channels. J Fluid Mech 92: 53–96
Savage SB (1988) Streaming motions in a bed of vibrationally fluidized dry granular material. J Fluid Mech 194: 457–478
Schlichting H (1960) Boundary layer theory. McGraw-Hill, New York
Sheridan MF (1979) Emplacement of pyroclastic flows: a review. Geol Soc Am, Spec Pap 180: 125–136
Sigurdsson H, Carey S (1989) Plinian and co-ignimbrite tephra fall from the 1815 eruption of Tambora volcano. Bull Volcanol 51: 243–270
Smith RL (1960a) Zones and zonal variation in welded ash-flows. U S Geol Surv Prof Pap 345-f
Smith RL (1960b) Ash flows. Geol Soc Am Bull 71: 795–842
Sparks RSJ (1976) Grain size variations in ignimbrites and applications for the transport of pyroclastic flows. Sedimentology 23: 147–188
Sparks RSJ, Wilson L (1976) A model for the formation of ignimbrite by gravitational column collapse. J Geol Soc Lond 132: 441–451
Sparks RSJ, Wilson L, Hulme G (1978) Theoretical modeling of the generation, movement, and emplacement of pyroclastic flows by column collapse. J Geophys Res 83: 1727–1739
Truesdell C, Noll W (1965) The non-linear field theories of mechanics. Handbuch der Physik, Band III/l. Springer, Berlin Heidelberg New York
Valentine GA, Wohletz KH (1989a) Numerical models of plinian eruption columns and pyroclastic flows. J Geophys Res 94: 1867–1887
Valentine GA, Wohletz KH (1989b) Environmental hazards of pyroclastic flows determined by numerical models. Geology 17: 641–644
Valentine GA, Wohletz KH, Kieffer SW (1991) Sources of unsteady column dynamics in pyr-oclastic flow eruptions. J Geophys Res 96: 21887–21892
Valentine GA, Wohletz KH, Kieffer SW (1992) Effects of topography of facies and compositional zonation in caldera-related ignimbrites. Geol Soc Am Bull 104: 154–165
Wakao N, Kaguei S, Funazkri T (1979) Effect of fluid dispersion coefficients on particle-to-fluid heat transfer coefficients in packed beds. Chem Eng Sci 34: 325–336
Walker GPL (1973) Explosive volcanic eruptions: a new classification scheme. Geol Rundsch 62: 431–446
Walker GPL (1981) Generation and dispersal of fine ash and dust by volcanic eruptions. J Volcanol Geotherm Res 11: 81–92
Walker GPL (1985) Origin of coarse lithic breccias near ignimbrite source vents. J Volcanol Geotherm Res 25: 157–171
Walker GPL, Hayashi JN, Self S (1995) Travel of pyroclastic flows as transient waves: implications for the energy line concept and particle-concentration assessment. J Volcanol Geotherm Res, (in press)
Wallis GB (1969) One-dimensional two-phase flow. McGraw Hill, New York
Wilson CJN (1980) The role of fluidization in the emplacement of pyroclastic flows: an experimental approach. J Volcanol Geotherm Res 8: 231–249
Wilson CJN (1984) The role of fluidization in the emplacement of pyroclastic flows, 2: experimental results and their interpretation. J Volcanol Geotherm Res 20: 55–84
Wilson CJN, Walker GPL (1982) Ignimbrite depositional facies: the anatomy of a pyroclastic flow. J Geol Soc Lond 139: 581–592
Wilson L (1976) Explosive volcanic eruptions, III. Plinian eruption columns. Geophys J R Astron Soc 45: 543–556
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 63: 117–148
Wilson L, Walker GPL (1987) Explosive volcanic eruptions VI. Ejecta dispersal in plinian eruptions: the control of eruption conditions and atmospheric properties. Geophys J R Astron Soc 89: 657–679
Wohletz KH, Valentine GA (1990) Computer simulations of explosive volcanic eruptions. In: Ryan MP (ed) Magma transport and storage. John Wiley, New York, pp 113–135
Wohletz KH, McGetchin TR, Sandford MT II, Jones EM (1984) Hydrodynamic aspects of cal-dera-forming eruptions: numerical models. J Geophys Res 89: 8269–8285
Woods AW (1988) A fluid-dynamics and thermodynamics of eruption columns. Bull Volcanol 50: 169–193
Woods AW, Caulfield CP (1992) A laboratory study of explosive volcanic eruptions. J Geophys Res 97: 6699–6712
Woods AW, Bursik MI (1994) A laboratory study of ash flows. J Geophys Res 99: 4375–4394
Wright JV, Smith AL, Self S (1980) A working terminology of pyroclastic deposits. J Volcanol Geotherm Res 8: 315–336
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Neri, A., Macedonio, G. (1996). Physical Modeling of Collapsing Volcanic Columns and Pyroclastic Flows. In: Monitoring and Mitigation of Volcano Hazards. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80087-0_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-80087-0_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-80089-4
Online ISBN: 978-3-642-80087-0
eBook Packages: Springer Book Archive