A modeling approach to understanding the role of microstructure development on crystal-size distributions and on recovering crystal-size distributions from thin slices

Textural coarsening in igneous rocks

“…A new approach to modelling of coarsening could be developed using 3D numerical models of rock textures (Cheadle et al 2004;Hersum and Marsh 2006;Amenta et al 2007) combined with finite element modelling of the liquid composition. The equilibrium concentration could be calculated for each part of the liquid using the curvature of the crystal surfaces in the neighbourhood.…”

The Extraordinary SVD

“…Senator James Jeffords [I-VT], who left the Republican party to become an Independent early in the 107th Congress, appears closer to the Democratic group than the Republican one and to the left of several of the more conservative Democrats. 3 Equation ( 4) can also be used to construct an approximation to the votes in the full roll call. Again using A 2 , one assigns "yea" or "nay" votes to Congress-(a) There is a clear separation between bills that passed (dark dots) and those that did not (light dots).…”

“…The grain sizes are determined by generating databases of microstructures with irregular grain shapes in order to compare the estimated CSD of the actual grains to the computed or ideal CSD predicted by the governing equations. Because the CSDs in many igneous rocks are close to linear [3,4], the problem can be simplified by using governing equations that generate linear CSDs with the following two rate laws.…”

Phase‐Field Simulation of Texture Evolution in Magmatic Rocks

“…In the best of cases, modeling efforts include alternating updates of thermodynamic and kinetic parameters, but without a means of ensuring physico‐chemical consistency between these. Previous models for the simulation of texture evolution during crystallization processes in rocks were stochastic approaches, which were developed to validate theoretical models of the crystal size distribution with constant growth rates and an exponential nucleation rate (Amenta, 2001, 2004; Amenta et al., 2007; Hersum & Marsh, 2006, 2007; Marsh, 1988; Spillar & Dolejs, 2015). However, these models do not take into account thermodynamic conditions and operate with artificially imposed growth rates.…”