HR: 09:00h
AN: V51D-05 [Abstracts]
TI: Models for silicate melt viscosity
AU: * Giordano, D
EM: dgiordano@eos.ubc.ca
AF: Earth and Ocean Sciences, Univeristy of British Columbia, Vancouver, BC V6T 1Z4
Canada
AU: Russell, K
EM: krussell@eos.ubc.ca
AF: Earth and Ocean Sciences, Univeristy of British Columbia, Vancouver, BC V6T 1Z4
Canada
AU: Moretti, R
AF: Osservatorio Vesuviano, INGV, Via Diocleziano,, Napoli, 80124
Italy
AU: Mangiacapra, A
AF: Osservatorio Vesuviano, INGV, Via Diocleziano,, Napoli, 80124
Italy
AU: Potuzak, M
AF: Earth and Environmental Sciences, University of Munich, Theresienstrasse 41, Munich, BAV 80333
Germany
AU: Romano, C
AF: Geological Sciences, Third University of Rome, Largo S. Leonardo Murialdo 1, Rome, 00154
Italy
AU: Dingwell, D B
EM: dingwell@lmu.de
AF: Earth and Environmental Sciences, University of Munich, Theresienstrasse 41, Munich, BAV 80333
Germany
AB:
The prediction of viscosity in silicate liquids, over the range of temperatures and compositions encountered in nature,
remains one of the most challenging and elusive goals in Earth Sciences. Recent work has demonstrated that there are now
sufficient experimental measurements of melt viscosity to create new viscosity models to replace previous Arrhenian models
[1],[2] and extend the compositional range of more recent non-Arrhenian models [3]. Most recently, [4] have developed an
empirical strategy for accurately predicting viscosities over a very wide range of anhydrous silicate melt compositions
(e.g., rhyolite to basanite). Future models that improve upon this work, will probably extend the composition range of the
model to consider, at least, H$_{2}$O and other volatile components and may utilize a compositional basis that reflects melt
structure.
In preparation for the next generation model, we explore the attributes of the three most common equations that could be used
to model the non-Arrhenian viscosity of multicomponent silicate melts. The equations for the non-Arrhenian temperature
dependence of viscosity ($\eta$) include:
a) Vogel-Fulcher-Tammann (VFT): log $\eta$ = A + B/(T - C)
b) Adam and Gibbs (AG): log $\eta$ = A + B/[T log (T/C)], and
c) Avramov (Av): log $\eta$ = A + [B/T]$^{\alpha}$
We use an experimental database of approximately 900 high-quality viscosity measurements on silicate melts to test the
ability of each equation to capture the experimental data. These equations have different merits [5]. VFT is purely empirical
in nature. The AG model has a quasi-theoretical basis that links macroscopic transport properties directly to thermodynamic
properties via the configurational entropy. Lastly, the model proposed by Avramov adopts a form designed to relate the fit
parameter ($\alpha$) to the fragility of the melt.
[1] Shaw, H.R., 1972. Am J Science, 272, 438-475.
[2] Bottinga Y. and Weill, D., 1972. Am J Science, 272, 438-475.
[3] Hess, K.U. and Dingwell, D.B, 1996, Am Min, 81, 1297-1300.
[4] D. Giordano & D.B. Dingwell, 2003. EPSL. 208, 337 (and related corrige EPSL 221, 449)
[5] J.K. Russell, D. Giordano & D.B. Dingwell, 2003. Am Min 88, 1390
UR: http://www.giordano.pi.it
DE: 8429 Lava rheology and morphology
DE: 8499 General or miscellaneous
SC: Volcanology, Geochemistry, Petrology [V]
MN: 2004 AGU Fall Meeting