Other
Scientific paper
Jan 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gecoa..60..277m&link_type=abstract
Geochimica et Cosmochimica Acta, Volume 60, Issue 2, p. 277-290.
Other
2
Scientific paper
This paper presents results of a numerical simulation of textural evolution due to Ostwald ripening, using a discrete diffusion equation in three dimensions. For this simulation, a small volume of dispersed crystals was assumed. When a system consists of layers in which the mean grain size is different, mass transport occurs from a layer with smaller mean size (S-layer) to a layer with larger mean size (L-layer). A simulation involving a two-layer system consisting of the S-layer and the L-layer suggests that evolution of the system strongly depends on the initial size distribution in each layer (Sdg0). Mass transport from the S-layer to the L-layer is more likely to occur when the standard deviation of the initial size distribution (Sdg0) is small. As Sdg0 becomes larger, the mass transport becomes slower, and Ostwald ripening occurs within each layer rather than between layers. The size distribution in the S-layer becomes more symmetric and wider than a Lifshitz-Slyozov-Wagner (LSW) distribution due to removal of the solute from the S-layer. On the other hand, the size distribution in the L-layer approaches the LSW distribution. In a simulation of the textural evolution of multilayer system, the mean size of grains within these layers was postulated to change continuously as a sine function in a direction perpendicular to the layer. In such a situation, Ostwald ripening must occur after the initial nucleation and growth mechanism. Obvious change of mean radius, number of grains, and size distribution begins to occur near critical time for Ostwald ripening tc = Rm(0)3/K, where K is a factor of relation between mean size Rm(t) and time t in LSW prediction. Initial mean size Rm (0) for Ostwald ripening is the final mean radius produced by nucleationgrowth mechanism. Results of the multilayer simulation suggest that the evolution of layered structure due to Ostwald ripening begins to occur when annealing time ta exceeds tc. In such a situation, it is expected that layering structure in metamorphic rock will be enhanced by Ostwald ripening when a >tc.
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