On the fractal dimension of the fallout deposits: A case study of the 79 A.D. Plinian eruption at Mt. Vesuvius

Journal of Volcanology and Geothermal Research

Volumn 177, Issue 1, 2008, Pages 288-299

  Pepe, S ^a   Solaro, G ^b   Ricciardi, G P ^b   Tizzani, P ^a  

^a INSTITUTE FOR ELECTROMAGNETIC SENSING OF THE ENVIRONMENT   (Italy)

^b OSSERVATORIO VESUVIANO   (Italy)

Author keywords

fractal dimension; fragmentation; Mt. Vesuvius; Plinian eruption; power law distribution; scale invariant

Indexed keywords

COASTAL ZONES; FALLOUT; FRACTALS; PARTIAL DISCHARGES; PARTICLE SIZE ANALYSIS; SIZE DISTRIBUTION; STRATIGRAPHY;

FRAGMENTATION; MT. VESUVIUS; PLINIAN ERUPTION; POWER LAW DISTRIBUTION; SCALE INVARIANT;

FRACTAL DIMENSION;

FALLOUT; FRAGMENTATION; LITHIC FRAGMENT; PLINIAN ERUPTION; POWER LAW DISTRIBUTION; PUMICE; PYROCLASTIC DEPOSIT; VOLCANIC ERUPTION;

CAMPANIA [ITALY]; EURASIA; EUROPE; ITALY; NAPOLI [CAMPANIA]; SOUTHERN EUROPE; VESUVIUS;

PLINIA;

EID: 53949119104     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jvolgeores.2008.01.023     Document Type: Article

References (35)

1. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality. Physical Review, A 38 (1988) 364-374
2. Bennet J.G. Broken coal. Journal of the Institute of Fuel 10 (1936) 22-39
3. Bindeman I.N. Fragmentation phenomena in populations of magmatic crystals. American Mineralogist 90 (2005) 1801-1815
4. Borgia A., Tizzani P., Solaro G., Manzo M., Casu F., Luongo G., Pepe A., Berardino P., Fornaro G., Sansosti E., Ricciardi G.P., Fusi N., Di Donna G., and Lanari R. Volcanic spreading of Vesuvius, a new paradigm for interpreting its volcanic activity. Geophysical Research Letters 32 (2005) L03303 10.1029/2004GL022155
5. Brown W.K., and Wohletz K. Derivation of the Weibull distribution based on physical principles and its connection to the Rossin-Rammler and lognormal distribution. Journal of Applied Physics 78 (1995) 2758-2763
6. Carey S., and Sigurdsson H. Temporal variations in column height and magma discharge rate during the 79 A.D. eruption of Vesuvius. Geological Society of America Bulletin 99 (1987) 303-314
7. Cioni R., Marianelli P., and Sbrana A. Dynamics of the A.D. 79 eruption: stratigraphic, sedimentological and geochemical on the successions from the Somma-Vesuvius southern and eastern sectors. Acta Vulcanologia 2 (1992) 109-123
8. Cioni R., Marianelli P., and Sbrana A. Pyroclastic deposits as a guide for reconstructing the multi-stage evolution of the Somma-Vesuvius caldera. Bulletin of Volcanology 60 (1999) 207
9. Cioni R., Marianelli P., Santacroce R., and Sbrana A. Plinian eruptions. In: Sigurdsson H. (Ed). Encyclopaedia of Volcanoes (2000), Academic Press
10. Fujiwara A., Kamimoto G., and Tsukamoto A. Destruction of basaltic bodies by high velocity impact. Icarus 31 (1977) 277-288
11. Gurioli L., Cioni R., Sbrana A., and Zanella E. Transport and deposition of pyroclastic density currents over an inhabited area: the deposits of the A.D. 79 eruption of Vesuvius at Herculaneum, Italy. Sedimentology 49 (2002) 929-953
12. Hartmann W.K. Terrestrial, lunar, and interplanetary rock fragmentation. Icarus 10 (1969) 201-213
13. Kaminski E., and Jaupart C. The size distribution of pyroclasts and the fragmentation sequence in explosive volcanic eruptions. Journal of Geophysical Research 103 (1998) 29759-29779
14. Kapteyn J.C., and van Uven M.J. Skew Frequency Curves in Biology and Statistics (1903), Groningen. Astronomical laboratory, Noordhoft
15. Kittleman L.R. Application of Rosin's distribution in size-frequency analysis of clastic rocks. Journal of Sedimentary Research 34 (1964) 483-502
16. Kueppers U., Perugini D., and Dingwell D.B. "Explosive energy" during volcanic eruptions from fractal analysis of pyroclasts. Earth and Planetary Science Letters 248 (2006) 800-807
17. Lirer L., Munno R., Petrosino P., and Vinci A. Tephrostratigraphy of the 79 A.D. pyroclastic deposits in perivolcanic areas of Mt. Vesuvio (Italy). Journal of Volcanology and Geothermal Research 58 (1993) 133-149
18. Mandelbrot B.B. The Fractal Geometry of Nature (1983), Freeman, New York
19. Papale P., and Dobran F. Modelling of the ascent of magma during the Plinian eruption of Vesuvius in A.D. 79. Journal of Volcanology and Geothermal Research 58 (1993) 101-132
20. Pepe, S., 2002. Analisi del processo di frammentazione delle eruzioni Pliniane. Il caso del Vesuvio. Master Degree Thesis. University of Naples Federico II. pp. 51.
21. Sammis C.G., Osborne R.H., Anderson J.L., Banerdt M., and White P. Self-similar cataclasis in the formation on fault gouge. Pure and Applied Geophysics 123 (1986) 53-78
22. In: Santacroce R. (Ed). Somma-Vesuvius. CNR Quaderni della Ricerca Scientifica vol. 8 (1987) 114
23. Schoutens J.E. Empirical analysis of nuclear and high explosive cratering and ejecta. Nuclear Geophysics Sourcebook (1979)
24. Sheridan M.F. Particle-size characteristics of pyroclastic tuffs. Journal of Geophysical Research 76 23 (1971) 5627-5634
25. Sheridan M.F., Barberi F., Rosi M., and Santacroce R. A model for Plinian eruptions of Vesuvius. Nature 289 (1981) 282-285
26. Sheridan M.F., Wohletz K.H., and Dehn J. Discrimination of grain-size subpopulations in pyroclastic deposits. Geology 15 4 (1987) 367-370
27. Sigurdsson H., Cashdollar S., and Sparks R.S.J. The eruption of Vesuvius in A.D. 79: reconstruction from historical and volcanological evidence. American Journal of Archeology 86 (1982) 39-51
28. Sigurdsson H., Carey S., Cornell W., and Pescatore T. The eruption of Vesuvius in A.D. 79. National Geographic 1 3 (1985) 332-387
29. Sigurdsson H., Cornell W., and Carey S. Influence of magma withdrawal on compositional gradients during the A.D. Vesuvius eruption. Nature 345 (1990) 519-521
30. Sparks R.S.J., Bursik M.I., Carey S., Gilbert J.S., Glaze L.S., Sigurdsson H., and Woods A.W. Volcanic plumes. Text Book (1997), Wiley and Sons, Chichester, England
31. Turcotte D.L. A fractal model of crustal deformation. Tectonophysics 132 (1986) 261-269
32. Turcotte D.L. Fractals and fragmentation. Journal of Geophysical Research 91 (1986) 1921-1926
33. Turcotte D.L. Fractals and Chaos in Geology and Geophysics (1992), Cambridge University Press, U.K 216 pp
34. Turcotte D.L. Fractals and Chaos in Geology and Geophysics. 2nd edition (1997), Cambridge University Press, U.K 398 pp
35. Wohletz K.H., Sheridan M.F., and Brown W.K. Particle-size distribution and the sequential fragmentation transport-theory applied to volcanic ash. Journal of Geophysical Research 94 (1989) 15703-15721