Mathematics – Logic
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufm.p43a1391m&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #P43A-1391
Mathematics
Logic
5422 Ices, 5460 Physical Properties Of Materials, 5480 Volcanism (6063, 8148, 8450), 8425 Effusive Volcanism, 8429 Lava Rheology And Morphology
Scientific paper
Cassini SAR imagery has revealed the presence of landforms on the surface of Titan that may be cryovolcanic flows and domes [1,2]. In order to relate the observed surface features to the geological processes and chemistries that produced them, it is necessary to construct rheological flow models at cryogenic temperatures. We report preliminary cryogenic rheological measurements on a binary 40 wt% methanol-water composition, used as a path finding analog for characterizing the rheological properties of candidate cryo-magmas and eruptant materials [3]. Work by Kargel et al. [4] used a cryogenic rotational viscometer and a viscous drop experiment to determine the viscosity of ammonia-water slurries, a likely composition of Titan cryomagma. This work revealed that the materials in question have viscosities that were controlled by the pure liquid viscosity and the solid fraction, the latter also resulting in shear-rate dependence. Our cryogenic rheological measurements were conducted between 90-300 K using a home- built LN2 cooled cryogenic rotational viscometer system, with data acquisition and control achieved using the National Instruments LabView program. We report the results of a series of measurements performed as a function of temperature and rotational strain rate. The methanol-water mixture exhibited a variety of rheological response behaviors under these experimental conditions; i.e., development of yield stress-like behaviors, shear-rate dependence, and thixotropic behavior, even at relatively low crystal fractions, which to our knowledge have not been previously observed or reported. At fixed shear rate our data are fit well by the Andrade equation, with the activation energy modified by the solid volume fraction. At fixed temperature, depending on shearing history, a Cross model describes our data well over a wide shear rate range. A Bingham plastic model appears to be a good constitutive model for the data measured at high shear rates when the shear was global, but at low shear stresses the approximation becomes inaccurate because the Bingham yield stress is only an approximation to what is actually a high viscosity creep behavior. This yield-stress-like creep behavior implies that initialization of levees in cryolava flows is more likely than would be inferred from previous cryo-rheological studies and may provide a partial explanation for features observed by the Cassini spacecraft on Titan, which are interpreted as steep-sided volcanic constructs [2]. This analysis will be critical in the development of future experiments designed to measure all the parameters controlling cryomagma rheologies for input into flow models. [1] Elachi et al. (2005) Science 308, 970-974. [2] Lopes et al. (2007) Icarus 186, 395-412. [3] Zhong et al. (in review) Icarus. [4] Kargel et al. (1991) Icarus 89, 93-11.
Barmatz M. B.
Choukroun Mathieu
Hays Charles C.
Kargel Jeff S.
Mitchell Karl L.
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