scholarly journals Supplementary material to "Thermal non-equilibrium of porous flow in a resting matrix applicable to melt migration: a parametric study"

Author(s):  
Laure Chevalier ◽  
Harro Schmeling
2017 ◽  
Vol 212 (1) ◽  
pp. 119-138 ◽  
Author(s):  
Harro Schmeling ◽  
Gabriele Marquart ◽  
Michael Grebe

2000 ◽  
Author(s):  
D. Greg Walker ◽  
Tim S. Fisher ◽  
Jeremy Ralston-Good ◽  
Ron D. Schrimpf

Abstract Microscale energy transport typically can not be described by traditional continuum models. This is especially true for semiconductor devices where length and time scales are continually becoming smaller. These conditions tend to place the physics of the energy transport into the non-equilibrium regime. Moments of the Boltzmann equations which describe average quantities of particle physics can be used under these conditions to obtain solutions to the transport problem. Most simulations, using this approach neglect non-equilibrium energy transport through phonon interactions. The goal of this work is to identify parameters crucial to non-equilibrium energy transport in semiconductor devices specifically where phonon interactions are concerned through a systematic variation of parameters. A Gallium Arsenide device that has been examined in previous research will be used as a benchmark for comparisons.


Melt migration experiments have been carried out to investigate the dependence of permeability on melt fraction and on orthopyroxene content for partly molten aggregates of olivine plus basalt and olivine-orthopyroxene plus basalt. Melt migration couples, formed between discs of olivine or olivine with 20 vol % orthopyroxene plus ca . 8 vol % basalt and discs with either ca . 2 vol % or 0 vol % basalt, were heated at 1250 °C and 300 MPa for 6-32 h. The resulting melt migration profiles, which developed in response to capillary forces, were analysed in terms of coupled differential equations describing melt migration via porous flow through a deformable matrix (compaction theory). For the experiments in which melt was initially present in both the source and the sink, the melt migration profiles could be fit equally well with a permeability proportional to the melt fraction to the first, second or third power. For the experiments in which the sink initially was melt-free, a best fit to the melt migration profiles could be obtained with a permeability that is linearly proportional to melt fraction. The melt migration profiles for samples in which the sink disc contained olivine plus 20 vol % orthopyroxene were essentially identical to those for samples in which the sink contained only olivine, even though at least some of the triple junctions in the former samples were not wetted by the melt phase.


2021 ◽  
Author(s):  
Petra Maierová ◽  
Pavlína Hasalová ◽  
Karel Schulmann

<p>Melting of the continental crust and subsequent melt transport has been most thoroughly described in the case of metasedimentary rocks. In these rocks segregation and migration of melt occur either through an interconnected network of veins and melt-rich layers (leucosome) or in form of diapirs. For these rocks, porous flow of melt at grain scale is mostly regarded only as a transient stage of separation of melt from the solid rock.</p><p>An entirely different style of melting and melt transport occurs in the case of felsic metaigneous rocks. We use the example from the Bohemian Massif, the eastern European Variscan belt, where metaigneous migmatites were studied in large detail. Here, melt did not segregate from the solid rock but migrated pervasively along most of the grain boundaries and equilibrated with the host rock. This equilibration resulted in formation of a continuous sequence of texturally, geochemically and compositionally different migmatites.</p><p>The question arises, what are the conditions and driving forces for this unusual behavior. We attempt to address this question by means of numerical modeling of two-phase flow (i.e. flow of porous solid matrix and melt), using the open-source finite-element ASPECT code (aspect.geodynamics.org). Most previous numerical studies of this process were either purely generic or focused on the melting of the mantle. In order to study this process in crustal conditions, we set up a 2D crustal-scale thermo-mechanical model that includes melting and freezing. We investigate the role of material properties (viscosity, solidus and liquidus temperatures, solid matrix permeability, melt composition) and thermal and velocity boundary conditions, as well as the effect of grid resolution. The results are discussed in terms of realistic parameter values and possible styles of melt migration and deformation of the matrix.</p>


Author(s):  
Edward A Kenik

Segregation of solute atoms to grain boundaries, dislocations, and other extended defects can occur under thermal equilibrium or non-equilibrium conditions, such as quenching, irradiation, or precipitation. Generally, equilibrium segregation is narrow (near monolayer coverage at planar defects), whereas non-equilibrium segregation exhibits profiles of larger spatial extent, associated with diffusion of point defects or solute atoms. Analytical electron microscopy provides tools both to measure the segregation and to characterize the defect at which the segregation occurs. This is especially true of instruments that can achieve fine (<2 nm width), high current probes and as such, provide high spatial resolution analysis and characterization capability. Analysis was performed in a Philips EM400T/FEG operated in the scanning transmission mode with a probe diameter of <2 nm (FWTM). The instrument is equipped with EDAX 9100/70 energy dispersive X-ray spectrometry (EDXS) and Gatan 666 parallel detection electron energy loss spectrometry (PEELS) systems. A double-tilt, liquid-nitrogen-cooled specimen holder was employed for microanalysis in order to minimize contamination under the focussed spot.


Author(s):  
Michel Le Bellac ◽  
Fabrice Mortessagne ◽  
G. George Batrouni

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-541-C6-542
Author(s):  
B. Pannetier ◽  
J. P. Maneval

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-500-C6-502 ◽  
Author(s):  
J. Bindslev Hansen ◽  
P. Jespersen ◽  
P. E. Lindelof
Keyword(s):  

1979 ◽  
Vol 40 (C7) ◽  
pp. C7-871-C7-872
Author(s):  
E. F. Gippius ◽  
B. I. Iljukhin ◽  
V. N. Kolesnikov

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