Newly measured viscosities of a low H20-content granitic melt and a low H20-content albitic melt have been combined with viscosity data from the literature to create two new models for the calculation of granitic melt viscosities at crustal pressures and temperatures between 700 and 900 °C; one model is purely empirical, and the other is based on config- urational entropy theory. When the molecular weight of the anhydrous melt is calculated on the basis of eight 0 atoms, or assumed to be 260 gram formula weight (gfw), and the total H20 concentration is expressed by its mole fraction, the viscosity, '1/,of per- and metaluminous granitic melts, -70-76 wt% SiOl, can be calculated from the following empirical equations: For X~~o ::s 0.25, log '1/= (0.0292649T - 53.198903)X~~o- 0.0129207T + 24.2973 and for X~~o> 0.25, log '1/= - 2.2977826X~:o - 0.0095llOT + 15.6293 where viscosity is in pascal-seconds, and temperature, T, is in kelvins. The first equation expresses the effects of H20 addition on melt viscosity at low H20 contents where the predominant H20 species in the melt is OH- (as demonstrated in previous studies) and small additions of H20 have large effects on melt viscosity; above X~:o ' 0.25, molecular H20 is the dominant species of H20, the addition of which has only modest effects on melt viscosities. This empirical model is applicable to granitic melts with total H20 con- tents between 0.3 and 12.3 wt%. Following configurational entropy theory, viscosities of the same hydrous granitic melts can be calculated by modeling the viscosities as ternary mixtures of various mole fractions of molecular H20, X H20,OH ~, XOH-,and silicate melt, Xsilieatemelt: In '1/ = -15.398 + (181.622/{T(Sconf(Xsilieate melt) - R(CH2oXH201n XH20 + CowXowln Xow + CsilicatemeltXsilicatemeltln Xsilicatemelt))}), where Seonf, the configurational en- tropy calculated from the viscosity measurements, is 4.567 x 10-3 J/(mol. K); R is the gas constant, 8.314 J/(mol. K); CH20is -1.899 x 10-3; COH- is -1.531 x 10-3; and Csilicatemelt is 4.913 X 10-3. Mole fractions of H20 and OH- are estimated from previously published measurements of species abundances in quenched rhyolitic glasses, and the molecular weight of the silicate melt is 260 gfw. Application of this model is limited to melts with. a maximum of approximately 6 wt% total H20 because X H20-XOH- speciation information is not available at higher H20 contents. Numerical values in the above equation are not considered to have any physical or chemical significance. Calculated granitic melt viscos- ities deviate on average from measured viscosities by -0.03 log units for the empirical model and -0.2 log units for the configurational entropy model. At H20 concentrations below 4 wt% and above 7 wt%, these models for viscosity estimation are significantly better than previous models, which can be in error by one to two orders of magnitude. Using either of these new models, the viscosities of granitic melts with 1-3 wt% H20 are calculated to be up to two orders of magnitude lower than previously thought. This results in a one to two order-of-magnitude increase in the viscosities of melt extraction from source regions, transport of melts through the crust, and Stokes settling of crystals.
Read full abstract