A two-layer model for the evolution and propagation of dense and dilute regions of pyroclastic currents

Journal of Volcanology and Geothermal Research

Volumn 190, Issue 3-4, 2010, Pages 365-378

  Doyle, E E ^a,b   Hogg, A J ^b   Mader, H M ^b   Sparks, R S J ^b  

^a MASSEY UNIVERSITY   (New Zealand)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

dense basal flow; deposit; dilute current; numerical model; pyroclastic flow; sedimentation

Indexed keywords

BASAL LAYER; COARSE GRAINS; COLUMN COLLAPSE; COLUMN HEIGHT; CONCENTRATED SUSPENSION; COULOMB FRICTION LAW; DEPOSIT MORPHOLOGY; DILUTE CURRENT; FINE-GRAINED PARTICLES; FLOW BEHAVIOURS; GRANULAR AVALANCHE; MASS EXCHANGE; NUMERICAL MODEL; NUMERICAL MODELS; PARTICULATE MASS; PROPAGATION VELOCITIES; PYROCLASTIC DENSITY CURRENTS; PYROCLASTIC FLOWS; RUNOUT DISTANCES; SEDIMENTATION RATES; SHORT COLUMN; STEEPER SLOPES; TRAVEL DISTANCE; TWO LAYER MODEL; TWO LAYERS; UNDERFLOWS;

DEPOSITS; FRICTION; NUMERICAL METHODS; PARTICLE SIZE;

SUSPENSIONS (FLUIDS);

BASAL FLOW; COULOMB CRITERION; DEBRIS AVALANCHE; DENSITY CURRENT; DILUTION; FLOW VELOCITY; FRICTION; MASS TRANSFER; NUMERICAL MODEL; PYROCLASTIC DEPOSIT; PYROCLASTIC FLOW; SEDIMENTATION RATE; VOLCANIC ASH; VOLCANOLOGY;

EID: 75949121281     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jvolgeores.2009.12.004     Document Type: Article

References (95)

1. Bale D.S., Leveque R.J., and Rossmanith J.A. A wave propagation method for conservation laws and balance laws with spatially-varying flux functions. S.I.A.M. J. Sci. Comput. 24 (2003) 955-978
2. Bonnecaze R.T., Huppert H.E., and Lister J.R. Particle-driven gravity currents. J. Fluid Mech. 250 (1993) 339-369
3. Branney M.J., and Kokelaar P. A reappraisal of ignimbrite emplacement: progressive aggradation and changes from particulate to non-particulate flow during emplacement of high-grade ignimbrite. Bull. Volcanol. 54 (1992) 504-520
4. Branney M.J., and Kokelaar P. Giant bed from a sustained catastrophic density current flowing over topography: Acatlán ignimbrite, Mexico. Geology 25 2 (1997) 115-118
5. Branney M.J., and Kokelaar P. Pyroclastic Density Currents and the Sedimentation of Ignimbrites Vol. 27 of Memoirs (2002), Geological Society, London, UK
6. Browne B.L., and Gardner J.E. Transport and deposition of pyroclastic material from the ∼ 1000 a.d. caldera-forming eruption of Volcán Ceboruco, Nayarit, Mexico. Bull. Volcanol. 67 5 (2005) 469-489 10.1007/s00445-004-0390-6
7. Bursik M.I., and Woods A.W. Buoyant, superbuoyant and collapsing eruption columns. J. Volcanol. Geotherm. Res. 45 (1991) 347-350
8. Bursik M.I., and Woods A.W. The dynamics and thermodynamics of large ash flows. Bull. Volcanol. 58 (1996) 175-193
9. Calder E.S., Sparks R.S.J., and Gardeweg M.C. Erosion, transport and segregation of pumice and lithic clasts in pyroclastic flows inferred from ignimbrite at lascar volcano, chile. J. Volcanol. Geotherm. Res. 104 (2000) 201-235
10. Carazzo G., and Kaminski E. The route to self-similarity in turbulent jets and plumes. J. Fluid Mech. 547 (2006) 137-148
11. Cas R.A.F., and Wright J.V. Volcanic Successions, Modern and Ancient: A Geological Approach to Processes, Products and Successions (1987), Allen & Unwin Ltd, London, UK
12. Clarke A.B., Neri A., Voight B., Macedonio G., and Druitt T.H. Computational modelling of the transient dynamics of the August 1997 Vulcanian explosions at Soufrière Hills Volcano, Montserrat: influence of initial conditions on near-vent pyroclastic dispersal. In: Druitt T.H., and Kokelaar B.P. (Eds). The Eruption of Soufriere Hills Volcano, Montserrat, from 1995 to 1999 21 (2002), Geol. Soc. Mem. Geol. Soc. of London, London 319-348
13. Cole P.D., Calder E.S., Druitt T.H., Hoblitt R.P., Robertson R., Sparks R.S.J., and Young S.R. Pyroclastic flows generated by gravitational instability of the 1996-1997 lava dome of Soufriere Hills Volcano, Montserrat (Paper 98GL01510). Geophys. Res. Lett. 25 18 (1998) 3425-3428
14. Cole P.D., Calder E.S., Sparks R.S.J., Clarke A.B., Druitt T.H., Young S.R., Herd R.A., Harford C.L., and Norton G.E. Deposits from dome-collapse and fountain-collapse pyroclastic flows at Soufrière Hills Volcano, Montserrat. In: Druitt T.H., and Kokelaar B.P. (Eds). The Eruption of Soufriere Hills Volcano, Montserrat, from 1995 to 1999 21 (2002), Geol. Soc. Mem. Geol. Soc. of London, London 231-262
15. Dade W.B., and Huppert H.E. Emplacement of the Taupo ignimbrite by a dilute turbulent flow. Nature 381 (1996) 509-512
16. Dartevelle S., Rose W.I., Stix J., Kelfoun K., and Vallance J.W. Numerical modeling of geophysical granular flows: 2. Computer simulations of Plinian clouds and pyroclastic flows and surges. G-cubed 5 8 (2004) Q08004 10.1029/2003GC000637
17. Denlinger R.P. A model for generation of ash clouds by pyroclastic flows, with application to the 1980 eruptions at Mount St. Helens, washington. J. Geophys. Res. 92 B10 (1987) 10,284-10,298
18. Denlinger R.P., and Iverson R.M. Flow of variably fluidised granular masses across three-dimensional terrain: 2, Numerical predictions and tests. J. Geophys. Res. 106 (2001) 553-566
19. Denlinger R.P., and Iverson R.M. Granular avalanches across irregular three-dimensional terrain: 1, Theory and computation. J. Geophys. Res. 109 (2004) F01014 10.1029/2003JF000085
20. Dobran F., Neri A., and Macedonio G. Numerical simulations of collapsing volcanic columns. J. Geophys. Res. 98 B3 (1993) 4231-4259
21. Douady S., Androetti B., and Daerr A. On granular surface flow equations. Eur. Phys. J. B 11 (1999) 131-142
22. Doyle, E. E., 2008. Analogue and numerical modelling of gravity currents and pyroclastic flows. Ph.D. thesis, Department of Earth Sciences, University of Bristol, UK.
23. Doyle E.E., Hogg A.J., Mader H.M., and Sparks R.S.J. Modeling dense pyroclastic basal flows from collapsing columns. Geophys. Res. Lett. 35 (2008) L04305 10.1029/2007GL032585
24. Doyle E.E., Huppert H.E., Lube G., Mader H.M., and Sparks R.S.J. Static and flowing regions in granular collapses down channels: insights from a sedimenting shallow water model. Phys. Fluids 19 10 (2007) 106601 10.1063/1.2773738
25. Druitt T.H. Emplacement of the 18 May 1980 lateral blast deposit ENE of Mount St. Helens, Washington. Bull. Volcanol. 54 (1992) 554-572
26. Druitt T.H. Pyroclastic density currents. In: Gilbert J., and Sparks R. (Eds). The Physics of Explosive Volcanic Eruptions. Geological Society, London, Special Publications 145 (1998), Geological Society, London 145-182
27. Druitt T.H., Calder E.S., Cole P.D., Hoblitt R.P., Loughlin S.C., Norton G.E., Ritchie L.J., Sparks R.S.J., and Voight B. Small-volume, highly mobile pyroclastic flows formed by rapid sedimentation from pyroclastic surges at Soufrière Hills Volcano, Montserrat: an important volcanic hazard. In: Druitt T.H., and Kokelaar B.P. (Eds). The Eruption of Soufriere Hills Volcano, Montserrat, from 1995 to 1999 21 (2002), Geol. Soc. Mem. Geol. Soc. of London, London 263-279
28. Druitt T.H., and Sparks R.S.J. A proximal ignimbrite breccia facies on Santorini, Greece. J. Volcanol. Geotherm. Res. 13 (1982) 147-171
29. Druitt T.H., Young S.R., Baptie B., Bonadonna C., Calder E.S., Clarke A.B., Cole P.D., Harford C.L., Herd E.A., Luckett R., Ryan G., and Voight B. Episodes of cyclic Vulcanian explosive activity with fountain collapse at Soufrière Hills Volcano, Montserrat. In: Druitt T.H., and Kokelaar B.P. (Eds). The Eruption of Soufriere Hills Volcano, Montserrat, from 1995 to 1999 21 (2002), Geol. Soc. Mem. Geol. Soc. of London, London 281-306
30. Dufek J., and Bergantz M. The suspended-load and bed-load transport of particle laden gravity currents: insight from pyroclastic flows that traverse water. Theor. Comput. Fluid Dynam. 21 (2007) 119-145
31. Dufek J., and Manga M. In situ production of ash in pyroclastic flows. J. Geophys. Res. 113 (2008) B09207 10.1029/2007JB005555
32. Esposti Ongaro T., Clarke A.B., Neri A., Voight B., and Widiwidijayanti C. Fluid dynamics of the 1997 Boxing Day volcanic blast on Montserrat, W.I. J. Geophys. Res. (2008) B03211 10.1029/2006JB004898
33. Fisher R.V. Models for pyroclastic surges and pyroclastic flows. J. Volcanol. Geotherm. Res. 6 (1979) 305-318
34. Fisher R.V. Transport and deposition of a pyroclastic surge across an area of high relief: the 18 May 1980 eruption of Mount St. Helens, Washington. Geol. Soc. Am. Bull. 102 (1990) 1038-1054
35. Fisher R.V. Decoupling of pyroclastic currents: hazards assessments. J. Volcanol. Geotherm. Res. 66 (1995) 257-263
36. Fisher R.V., and Schmincke H.-U. Pyroclastic Rocks (1984), Springer-Verlag, Berlin, Heidelberg, New York, Tokyo
37. Freundt A. Formation of high grade ignimbrites Part II. A pyroclastic suspension current model with implications also for low-grade ignimbrites. Bull. Volcanol. 60 (1999) 545-567
38. Freundt A., and Schmincke H.-U. Lithic-enriched segregation bodies in pyroclastic flow deposits of Laacher See volcano (East Eifel, Germany). J. Volcanol. Geotherm. Res. 25 (1985) 193-224
39. Giordano G., and Dobran F. Computer simulations of the Tuscalano Artemisio's second pyroclastic flow unit (Alban Hills, Latium, Italy. J. Volcanol. Geotherm. Res. 61 (1994) 69-94
40. Gray J.M.N.T. Granular flow in partially filled slowly rotating drums. J. Fluid Mech. 441 (2001) 1-29
41. Gray J.M.N.T., Wieland M., and Hutter K. Gravity-driven free surface flow of granular avalanches over complex basal topography. Proc. Roy. Soc. London A: Mathemat. Phys. Engin. Sci. 455 (1999) 1841-1874
42. Hoblitt R.P. Observations of eruptions, July 22 and August 7, 1980, at Mount St. Helens, Washington. U.S.G.S. Prof. Pap. 1335, 1-43 (1986)
43. Hogg A.J., and Pritchard D. The effects of hydraulic resistance on dam-break and other shallow inertial flows. J. Fluid Mech. 501 (2004) 179-212
44. Hubbard M.E., and Garcia-Navarro P. Flux difference splitting and the balancing of source terms and flux gradients. J. Comput. Phys. 165 (2000) 89-125
45. Hughes S.R., and Druitt T.H. Particle fabric in a small, type-2 ignimbrite flow unit (Laacher See, Germany) and implications for emplacement dynamics. Bull. Volcanol. 60 (1998) 125-136
46. Iverson R.M., and Denlinger R.P. Flow of variably fluidized granular masses across three-dimensional terrain. 1. Coulomb mixture theory. J. Geophys. Res. 106 (2001) 537-552
47. Kaminski E., and Jaupart C. The size distribution of pyroclasts and the fragmentation sequence in explosive volcanic eruptions. J. Geophys. Res. - Solid Earth 103 B12 (1998) 29759-29779
48. Kelfoun K., Samaniego P., Palacios P., and Barba D. Testing the suitability of frictional behaviour for pyroclastic flow simulation by comparison with a well-constrained eruption at tungurahua volcano (Ecuador). Bull. Volcanol. 71 9 (2009) 1057-1075 10.1007/s00445-009-0286-6
49. Lacroix A. La Montagne Pelée et ses eruptions. Masson et Cie, Paris, in French (1904)
50. Leveque R.J. Finite volume methods for hyperbolic problems. Cambridge Texts in Applied Mathematics (2002), Cambridge University Press, Cambridge, UK
51. Levine A., and Kieffer S. Hydraulics of the August 7, 1980, pyroclastic flow at Mount St. Helens, Washington. Geology 19 (1991) 1121-1124
52. Lube G., Cronin S., Platz T., Freundt A., Procter J.N., Henderson C., and Sheridan M.F. Flow and deposition of pyroclastic granular flows: a type example from the 1975 Nguaruhoe eruption, New Zealand. J. Volcanol. Geotherm. Res. 161 4 (2007) 362-363
53. Lube G., Huppert H.E., Sparks R.S.J., and Freundt A. Static and flowing regions in granular collapses down channels. Phys. Fluids 19 4 (2007) 043301 10.1063/1.2712431
54. Mangeney A., Heinrich P., and Roche R. Analytical solution for testing debris avalanche and numerical models. Pure and Appl. Geophys. 157 (2000) 1081-1096
55. Mangeney-Castelnau A., Vilotte J.P., Bristeau M.O., Perthame B., Bouchut F., Simeoni C., and Yerneni S. Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme. J. Geophys. Res. 108 B11 (2003) 2527-2545
56. Martin D., and Nokes R. A fluid-dynamical study of crystal settling in convecting magmas. J. Petrol. 30 6 (1989) 1471-1500
57. Mellors R.A., Waitt R.B., and Swanson D.A. Generation of pyroclastic flows and surges by hot-rock avalanches from the dome of Mount St. Helens volcano, USA. Bull. Volcanol. 50 (1988) 14-25
58. Nairn I.A., and Self S. Explosive eruptions and pyroclastic avalanches from Ngauruhoe in February 1975. J. Volcanol. Geotherm. Res. 3 (1978) 39-60
59. Neri A., and Dobran F. Influence of eruption parameters on the thermofluid dynamics of collapsing volcanic columns. J. Geophys. Res. 99 B6 (1994) 11833-11857
60. Neri A., Esposti Ongaro T.E., Macedonio G., and Gidaspow D. Multiparticle simulation of collapsing volcanic columns and pyroclastic flow. J. Geophys. Res. 108 B4 (2003) 2202-2224
61. Neri A., and Macedonio G. Numerical simulation of collapsing volcanic columns with particles of two sizes. J. Geophys. Res. 101 B4 (1996) 8153-8174
62. Palladino D.M., and Valentine G.A. Coarse-tail vertical and lateral grading in pyroclastic flow deposits of the Latera Volcanic Complex (Vulsini, central Italy): origin and implications for flow dynamics. J. Volcanol. Geotherm. Res. 69 (1995) 343-364
63. Patra A.K., Bauer A.C., Nichita C.C., Pitman E.B., Sheridan M.F., Bursik M., Rupp B., Webber A., Stinton A., Namikawa L.M., and Renschler C.S. Parallel adaptive numerical simulation of dry avalanches over natural terrain. J. Volcanol. Geotherm. Res. 139 (2005) 1-21
64. Pitman E., Patra A., Bauer A., Sheridan M., and Bursik M. Computing debris flows and landslides. Phys. Fluids 15 12 (2003) 3638-3646
65. Pouliquen O. Scaling laws in granular flows down rough inclined planes. Phys. Fluids 11 3 (1999) 542-548
66. Pouliquen O., and Forterre Y. Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane. J. Fluid Mech. 453 (2002) 133-151
67. Pudasaini S.P., and Hutter K. Avalanche dynamics. Dynamics of rapid flows of dense granular flows (2007), Springer, Berling, Heidelberg, New York
68. Roche O., Gilbertson M.A., Phillips J.C., and Sparks R.S.J. Experiments on deaerating granular flows and implications for pyroclastic flow mobility. Geophys. Res. Lett. 29 16 (2002)
69. Roche O., Gilbertson M.A., Phillips J.C., and Sparks R.S.J. Experimental study of gas-fluidized granular flows with implications for pyroclastic flow emplacement. J. Geophys. Res. - Solid Earth 109 B10 (2004) B10201
70. Rowley P.D., Kuntz M.A., and Macleod N.S. The 1980 eruptions of Mount St Helens, Washington: pyroclastic-flow deposits. In: Lipman P.W., and Mullineaux D.R. (Eds). The Eruption of Soufriere Hills Volcano, Montserrat, from 1995 to 1999 1250 (1981), Geol. Surv. Prof. Pap. USGS, London 489-512
71. Savage S.B., and Hutter K. The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199 (1989) 177-215
72. Smith R.L. Ash flows. Geol. Soc. Amer. Bull. 71 (1960) 795-842
73. Smith R.L. Zones and zonal variations in welded ash flows. U.S.G.S. Prof. Paper 354-F (1960) 149-159
74. Sparks R., Bursik M., Carey S., Gilbert J., Glaze L., Sigurdsson H., and Woods A. Volcanic Plumes (1997), Wiley, New Jersey
75. Sparks R.S.J. Grain size variations in ignimbrites and implications for the transport of pyroclastic flows. Sedimentology 23 (1976) 147-188
76. Sparks R.S.J., Barclay J., Calder E.S., Herd R.A., Komorowski J.-C., Luckett R., Norton G.E., Ritchie L.T., Voight B., and Woods A.W. Generation of a debris avalanche and violent pyroclastic density current on 26 December (Boxing day) 1997 at Soufrière Hills Volcano, Montserrat. In: Druitt T.H., and Kokelaar B.P. (Eds). The Eruption of Soufriere Hills Volcano, Montserrat, from 1995 to 1999 21 (2002), Geol. Soc. Mem. Geol. Soc. of London, London 409-434
77. Sparks R.S.J., Self S., and Walker G.P.L. Products of ignimbrite eruptions. Geology 1 3 (1973) 115-118
78. Sparks R.S.J., and Wilson L. A model for the formation of ignimbrite by gravitational column collapse. J. Geol. Soc. Lond. 132 (1976) 441-451
79. Sparks R.S.J., Wilson L., and Hulme G. Theoretical modeling of the generation, movement and emplacement of pyroclastic flows by column collapse. J. Geophys. Res. 83 B4 (1978) 1727-1739
80. Takahashi T., and Tsujimoto H. A mechanical model for Merapi-type pyroclastic flow. J. Volcanol. Geotherm. Res. 98 (2000) 91-115
81. Timmermans M.E., Lister J.R., and Huppert H.E. Compressible particle-driven gravity currents. J. Fluid Mech. 445 (2001) 305-325
82. Turner J.S. Jets and plumes with negative or reversing buoyancy. J. Fluid Mech. 26 (1966) 779-792
83. Valentine G.A. Stratified flow in pyroclastic surges. Bull. Volcanol. 49 (1987) 616-630
84. Valentine G.A., and Fisher R. Origin of layer 1 deposits in ignimbrites. Geology 14 2 (1986) 146-148
85. Wadge G., Jackson P., Bower S.M., Woods A.W., and Calder E. Computer simulations of pyroclastic flows from dome collapse. Geophys. Res. Lett. 25 19 (1998) 3677-3680
86. Walker G.P.L. Grain size characteristics of pyroclastic deposits. J. Geol. 79 (1971) 696-714
87. Walker G.P.L., and Wilson C.J.N. Lateral variations in the Taupo ignimbrite. J. Volcanol. Geotherm. Res. 18 (1983) 117-133
88. Widiwijayanti C., Voight B., Hidayat D., and Schilling S.P. Objective rapid delineation of areas at risk from block-and-ash pyroclastic flows and surges. Bull. Volcanol. 71 6 (2009) 687-703 10.1007/s00445-008-0254-6
89. Wilson C.J.N. The role of fluidization in the emplacement of pyroclastic flows, 2: Experimental results and their interpretation. J. Volcanol. Geotherm. Res. 20 (1984) 55-84
90. Wilson C.J.N. The Taupo eruption, New Zealand II. the Taupo ignimbrite. Phil. Trans. Royal Soc. Lond. Ser. A. Math. Phys. Sci. 314 (1985) 229-310
91. Wilson C.J.N. Pyroclastic flows and ignimbrites. Sci. Prog. Oxf. 70 (1986) 171-207
92. Wilson C.J.N., and Walker G.P.L. Ignimbrite depositional facies: the anatomy of a pyroclastic flow. J. Geol. Soc. Lond. 139 (1982) 581-592
93. Wilson L., Sparks R.S.J., and Walker G.P.L. Explosive volcanic eruptions-IV. The control of magma properties and conduit geometry on eruption column beahviour. Geophys. J. R. Aston. Soc. 63 (1980) 117-148
94. Woods A.W., and Bursik M.I. Particle fallout thermal disequilibrium and volcanic plumes. Bull. Volcanol. 53 (1991) 559-570
95. Wright J.V., and Walker G.P. Eruption, transport and deposition of ignimbrite: a case study from Mexico. J. Volcanol. Geotherm. Res. 9 (1981) 111-131