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Uhlmann, D. R.

Publications and source records attributed to Uhlmann, D. R..

At least 37 records · Page 2

Partitioning as a cooling rate indicator

The paper presents a mathematical model for describing solute partitioning under continuous cooling conditions. It is shown that solute concentration profiles can be calculated for any cooling rate as a function of temperature provided that the appropriate data on diffusion and partitioning are known. As an example, the model is applied to zirconium partitioning between ilmenite and ulvospinel in a number of Apollo 15 Elbow Crater rocks in order to estimate the rates at which they cooled.

Onorato, P. I.↗

The thermal history of the Manicouagan impact melt sheet, Quebec

Calculations for the heat transfer between superheated silicate melt and evenly dispersed 1-mm cold clasts indicate that most of the thermal gradients are smoothed out in 100 s and that the rate of equilibrium is sufficiently high so that clasts whose dissolution in the melt is slow may be preserved. The calculations also show the extent to which cold debris and clasts are melted. Calculations for cooling of the 200-m-thick melt sheet at Manicouagan suggest that complete crystallization takes 35 years at 10 m from the edge and 1600 years at the center.

Onorato, P. I. K.↗

Multiphase dispersions by crystallization processing

The interaction between second-phase particles and crystal-liquid interfaces in the solidification process has been studied in ground-based experiments and experiments under microgravity conditions. An analysis of these data with a view toward the solidification processing of composite materials reveals a pronounced difference between high entropy of fusion and low entropy of fusion matrix materials, as well as a pronounced effect of differences in the thermal conductivity of particles and liquid on the behavior of materials. Effects of liquid viscosity surface topography of the particles, particle chemistry, and overall particle shape examined.

Uhlmann, D. R.↗

Subophitic basalts from Mare Crisium - Cooling rates

Subophitic basalt is the most common rock type at Mare Crisium. The cooling rate of a sample of this rock was determined by: (1) an olivine cooling speedometer and (2) Zr partitioning between ilmenite and ulvospinel. The kinetic modeling of the olivine cooling speedometer starts with a calculation of the compositional profile of olivine (the 'as-solidified profile') and proceeds to re-equilibration by diffusion as a function of cooling rate. The estimated cooling rate for subophitic basalts from the Luna 24 site is in the range of 2 C/day (about 0.1 C/hr), which is reasonably well corroborated by dynamic crystallization studies of Grove (1978).

Taylor, L. A.↗

Olivine cooling speedometers

Several kinetic models of zoning in olivines are discussed at length. The effects on predicted cooling rates of various assumptions used in the analyses are evaluated. It is concluded that the models of Walker et al. (1977) and Taylor et al. (1977) both provide underestimates of the cooling rate required to preserve a given compositional profile, and that both models as well as the model of Taylor et al. (1978) can be used to provide order-of-magnitude estimates of cooling rates. A new model is described which considers diffusion in both solid and liquid during crystallization as well as diffusion in the solid after crystallization is complete. The model provides a description of the compositional gradients which develop during crystallization as well as after cooling at various rates. Applied to olivine crystals nucleated at 1272 C in a high-iron analogue to Lunar Composition 15555, the model predicts only slight compositional gradients - in accord with electron beam microprobe measurements on crystals grown isothermally at this temperature.

Onorato, P. I. K.↗

The formation kinetics of lunar glasses

The kinetic treatment of crystallization and glass formation, involving the construction of time-temperature-transformation curves (TTT) corresponding to a given degree of crystallinity, is extended to permit the description of crystallization of a body initially cooled to a glassy state. The key assumption is that if at any time and temperature a crystallite is smaller than the critical size corresponding to that temperature, it will melt completely and can be ignored in any further calculations of the crystal distribution. This approach is used to predict the temperature of maximum crystallization rate for the matrix composition of lunar breccia 67975; results are shown to be in excellent agreement with experiment. Theoretical results obtained for anorthite indicate a barrier to nucleation in the range of 75 kT when the ratio of the undercooling to the liquidus temperature is 0.2. Measured nucleation barriers for the 67975 matrix composition are in the range of 42 to 45 kT.

Uhlmann, D. R.↗

Cooling rate estimations based on kinetic modelling of Fe-Mg diffusion in olivine

A finite one-dimensional kinetic model was developed to estimate the cooling rates of lunar rocks. The model takes into consideration the compositional zonation of olivine and applies Buening and Buseck (1973) data on ion diffusion in olivine. Since the 'as-solidified' profile of a given olivine is not known, a step-function, with infinite gradient, is assumed; the position of this step is based on mass balance considerations of the measured compositional profile. A minimum cooling rate would be associated with the preservation of a given gradient. The linear cooling rates of lunar rocks 12002 and 15555 were estimated by use of the olivine cooling-rate indicator to be 10 C/day and 5 C/day, respectively. These values are lower than those obtained by dynamic crystallization studies (10-20 C/day).

Taylor, L. A.↗

Crystallization kinetics, viscous flow, and thermal history of lunar breccia 67975

The maximum crystal growth rate for the 67975 matrix composition, about 0.00073 cm/min, was found to occur at about 990 C (undercooling 220 C). The Shaw (1972) model and, to a slightly lesser extent, the Bottinga and Weill (1972) model indicate the variation of viscosity with temperature. Time-temperature-transformation and continuous cooling curves were constructed from the measured crystal growth rates and viscosities and used to estimate the cooling rate required to form bodies with the degree of crystallinity observed in the matrix of the breccia. It is estimated on the basis of kinetic analysis that the 67975 breccia cooled at a rate of about 0.06 C/min over the temperature range below the liquidus. Heat flow analyses indicate that the 67975 breccia did not cool in the size of the lunar sample but as part of a much larger body. Viscous singering as well as cooling of a melt-clast mixture are investigated.

Uhlmann, D. R.↗

Matrix glass vs. intruded glass in lunar breccia 15286

The viscous flow and crystallization behavior of the matrix composition of breccia 15286 have been determined in the 1159-1307 C and 644-770 C temperature ranges. The Shaw (1972) model and, to a slightly lesser extent, the semiempirical Bottinga and Weill (1972) model describe the variation of viscosity with temperature. The crystal growth rate has been determined over the temperature range 821-1185 C. Time-temperature-transformation, logarithmic cooling, and continuous cooling curves were constructed; a nucleation barrier of 60 kT at a relative undercooling of 0.2 is assumed. It is estimated that the matrix of 15286 breccia cooled at a rate greater than 80 K/min through the glass transition region. The increase in density that occurs when the matrix glass is annealed suggests that the breccia was formed by cooling from the molten state rather than by direct shock-induced transition from crystal to glass. Viscous sintering under continuous cooling and logarithmic cooling conditions is analyzed.

Handwerker, C. A.↗

Diffusive isothermal partitioning in a layered medium with geologic applications

The diffusive isothermal partitioning of solute in a layered two-phase material has been analyzed to help elucidate the phenomenon of solute partitioning in multiphase lunar and terrestrial materials and to estimate the cooling history of samples. After reviewing the physical chemistry of partitioning and the case of an infinite one-dimensional diffusion couple, we solve in analytic form the case of a finite one-dimensional couple. The solution can be used to estimate cooling histories or to interpret laboratory experiments on partitioning. A sample calculation is included.

Hopper, R. W.↗

The kinetics of lunar glass formation, revisited

The nucleation frequency of Lunar Composition 70019, a lithified soil breccia from the center of a small crater in the Taurus-Littrow Valley, is determined using a relation that describes nucleation throughout the volume of a liquid together with measurements of the time required at temperatures of 780 to 930 C to obtain sensibly crystalline bodies. Curves indicating the time required at a given temperature to reach a particular fraction crystallized are shown to have the general form predicted by kinetic analysis. Nucleation frequencies are evaluated by applying such analysis to a curve representing the transition between glassy material and material with a sensible degree of crystallinity. The results obtained are found to be in excellent agreement with the values expected from the classical theory of homogeneous nucleation, indicating that such nucleation represents the dominant contribution to crystal formation, at least over the range of undercoolings covered (250 to 400 C).

Klein, L. C.↗

Heat flow in impact melts - Apollo 17 Station 6 Boulder and some applications to other breccias and xenolith laden melts

The paper presents results of calculations for the cooling of an impact melt, the specific application being the clast-laden sheet sampled in the Apollo 17 Station 6 Boulder. The calculations were carried out using a two-stage cooling model which involves a short initial phase of thermal equilibration between small clasts and the surrounding melt and a second phase of heat loss from the melt sheet to the surroundings.

Onorato, P. I. K.↗

Sintering, crystallization, and breccia formation

The process of breccia formation by viscous sintering in the absence of pressure, advanced by Simonds (1973), is examined in detail. The limitations on the standard model for such sintering are considered. The competing process of crystallization is analyzed kinetically in terms of time-temperature-transformation curves corresponding to various degrees of crystallinity. The analysis is applied to Lunar Composition 15418 to illustrate the approach. The results indicate that close constraints can be placed on the thermal histories of lunar breccias, particularly breccias with modest degrees of crystallinity, from microstructural observations and kinetic measurements.

Uhlmann, D. R.↗

The formation of lunar breccias - Sintering and crystallization kinetics

The process of clastic breccia formation by viscous sintering in a stress-free environment is analyzed by treating crystallization and sintering as concurrent, competing processes. The kinetic analysis of crystallization is based on the construction of continuous cooling curves corresponding to the degree of crystallinity observed in the matrix of the breccia. These curves are obtained from corresponding time-temperature-transformation curves, which in turn are constructed from measured values of the crystal growth rate together with calculated values of the nucleation frequency. The kinetic analysis of sintering is based on a modification of the Frenkel (1945) treatment of viscous sintering appropriate for conditions of continuous cooling. The analysis is applied to Lunar Composition 70019 to illustrate the approach. It is shown that it is possible from the kinetic analysis to estimate both the rate at which a given breccia cooled and the minimum temperature at which the matrix particles came in contact. The results obtained for Lunar Composition 70019 seem physically reasonable and suggest that this sample cooled on the surface of the moon in its present form rather than buried in an ejecta blanket from which it was later excavated.

Uhlmann, D. R.↗