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Numerical Simulations of Microstructures Using the Elle Platform: A Modern Research and Teaching Tool


Affiliations
1 Department of Geology and Geochemistry, Stockholm University, 10961 Stockholm, Sweden
2 UMR5563, IRD UR 154, Laboratoire des Mecanismes et Transferts en Geologie, Universite Paul-Sabatier, 14 Ave Edouard Belin, 31400 Toulouse cedex, France
3 Mineralogie und Geodynamik, Institut fuer Geowissenschaften, Eberhard Karls Universitaet Tuebingen, Sigwartstr. 10, 72076 Tuebingen, Germany
4 School of Earth Sciences, University of Melbourne, VIC 3010, Australia
     

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The last 20 years have seen a manifold increase in the application of numerical simulations in the earth sciences. This contribution aims to provide an overview of the possibilities of using numerical techniques, in particular the numerical simulation package Elle, as an aid in the training for microstructural interpretation in rocks. Three sets of experiments are described to illustrate the range of simulations currently possible, investigating the effects of grain growth, polyphase deformation and dynamic recrystallisation.

Numerical simulations of static annealing of a pre-deformed natural sample show that Crystallographic Preferred Orientations can still be used for the interpretation of kinematic and deformation conditions, even after substantial postdeformational annealing. However, the grain network characteristics such as grain size, grain size distribution, boundary shapes and aspect ratios are rapidly altered during annealing, especially if the grains possessed highly contrasting internal strain energies.

Experiments modelling two and three phase viscous deformation show that the rheology and microstructural evolution of a rock is largely determined by the linearity or non-linearity of viscous deformation; whereas the number of phases with differing viscosity is less important. Variations in strain in the same mineral phases can be used to infer flow properties. The spatial distribution of phases significantly influences the rheology at a specific point in time.

During dynamic recrystallization the rates of the competing processes of grain size reduction and increase can have a systematic influence on the evolution of grain characteristics. Relatively high rates of grain size increasing processes result in larger grain sizes, lower aspect ratios, stabilization of grain size at lower strain and less strain localization.

Numerical simulations can help to answer field related questions and to identify the number of significant active processes. They are also extremely useful as teaching tools as processes can easily be turned on or off, parameters can be changed and boundary conditions altered. Fortunately, numerical simulations have now matured to a point where users that do not want to spend time in coding a model can still perform and analyse numerical simulations.


Keywords

Microstructure, Numerical Modelling, Crystallographic Preferred Orientation, Localization, Annealing, Deformation.
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  • BARR, T.D. and HOUSEMAN, G.A. (1996) Deformation fields around a fault embedded in a non-linear ductile medium. Geophys. Jour. Int., v.125, pp.473-490.
  • BECKER, J.K., BONS, P.D. and JESSELL, M.W. (2008) A new front tracking method to model anisotropic grain and phase boundary motion in rocks. Computers & Geosciences, v.34, pp.201-212.
  • BECKER, J.K., KOEHN, D., WALTE, N., JESSELL, M., BONS, P.D., PASSCHIER, C.W. and EVANS, L. (2003) Numerical simulation of disequilibrium structures in solid-melt systems during grain growth. Jour. Virtual Explorer, 11.
  • BIERMEIER, C., STUWE, K. and BARR, T.D. (2001) The rotation of cylindrical objects during simple shear. Jour. Struc. Geol., v.23, pp.765-776.
  • BONS, P.D., JESSELL, M.W., EVANS, L., BARR, T.D. and STUWE, K. (2001) Modelling of anisotropic grain growth in minerals. In: H.A. Koyi, N.S. Mancktelow, (eds.), Tectonic Modeling: A Volume in Honor of Hans Ramberg. Geol. Soc. Amer. Mem., no.193, pp.39-49.
  • BONS, P.D., KOEHN, D. and JESSELL, M.W. (Eds.) (2008). Microdynamics Modelling. Lecture Notes in Earth Sciences 106, Springer, Berlin.
  • DOHERTY, R.D., HUGHES, D.A., HUMPHREYS, F.J., JONAS, J.J., JUUL JENSEN, D., KASSNER, M.E., KING, W.E., MCNELLEY, T.R., MCQUEEN, H.J. and Rollet A.D. (1997). Current issues in recrystallization: a review. Materials Science and Engineering, v.A238, pp.219-274.
  • GARDE, A. and WINDLEY, B. (2009) Arc-generated blocks with crustal sections in the North Atlantic craton of West Greenland: Crustal growth in the Archean with modern analogues. Earth Science Reviews, in press.
  • GLEASON, G.C., TULLIS, J. and HEIDELBACH, F. (1993). The role of dynamic recrystallization in the development of lattice preferred orientations in experimentally deformed quartz aggregates. Jour.Struc. Geol., v.15, pp.1145-1168.
  • GOTTSTEIN, G. (2004) Physical Foundations of Material Science, Springer.
  • GOTTSTEIN, G. and SHVINDLERMAN, L.S. (1999) Grain Boundary Migration in Metals: Thermodynamics, Kinetics, Applications. CRC Press, LLC, Boca Roca.
  • GREEN, H.W. (1967) Quartz: extreme preferred orientation produced by annealing. Science, v.157, pp.1444-1447.
  • GRIGGS, D.T., PATERSON, M.S., HEARD, H.C. and TURNER, F.J. (1960) Annealing recrystallization in calcite crystals and aggregates. In: D.T. Griggs and J. Handin (Eds.), Geol. Soc. Amer. Mem., v.79, pp.21-37.
  • GROOME, W.G. and JOHNSON, S.E. (2008) Transient strain-rate partitioning during porphyroblast growth. In: P.D. Bons, D. Koehn and M.W. Jessell (Eds.) Microdynamics Simulation, Lecture Notes in Earth Sciences 106, Springer, Berlin, pp.255-266.
  • HANDY, M.R. (1994) Flow laws for rocks containing two non linear viscous phases: a phenomenological approach. Jour. Struc. Geol., v.16, pp.287-301.
  • HACKER, B.R. and KIRBY, S.H. (1993) High-pressure deformation of calcite marble and its transformation to aragonite under non-hydrostatic conditions. Jour. Struc. Geol., v.15, pp.1207-1222.
  • HEILBRONNER, R. and TULLIS, J. (2002) The effect of static annealing on microstructures and crystallographic preferred orientations of quartzites experimentally deformed in axial compression and shear. Geol. Soc. London, Spec. Publ., v.200, pp.191-218.
  • HIRTH, G. and KOHLSTEDT, D. (2003) Rheology of the upper mantle and mantle wedge: A view from the experimentalists. Geophysical Monograph, v.138, pp.83-105.
  • HIRTH, G. and TULLIS, J. (1992) Dislocation creep regimes in quartz aggregates. Jour. Struct. Geol., v. 14, pp.145-159.
  • HOBBS, B.E. (1985) The geological significance of microfabric analyses. In: H.-R. Wenk (Ed.), Preferred Orientation in Deformed Metals and Rocks: An Introduction to Modern Texture Analysis. Academic Press, Orlando, pp.463-484.
  • HOLYOKE III , C.W. and TULLIS, J. (2006) Mechanisms of weak phase interconnection and the effect of phase strength contrast on fabric development. Jour. Struc. Geol., v.28, pp.621-640.
  • JESSELL, M.W. (1987) Grain-boundary migration microstructures in a naturally deformed quartzite. Jour. Struc. Geol., v.9, pp.1007-1014.
  • JESSELL, M. W. (1988) Grain boundary migration and fabric development in experimentally deformed octachloropropane. Jour. Struc. Geol., v.8, pp.527-542.
  • JESSELL, M.W. and LISTER, G.S. (1990) A simulation of the temperature dependence of quartz fabrics. In: R.J. Knipe and E.H. Rutter (Eds.), Deformation Mechanisms, Rheology and Tectonics. Geol. Soc. Spec. Publ., London, v.54, pp.353-362.
  • JESSELL, M.W., BONS, P.D., EVANS, L., BARR, T. and STUWE, K. (2001) Elle: the numerical simulation of metamorphic and deformation microstructures. Computers & Geosciences v.27, pp.17-30.
  • JESSELL, M.W., KOSTENKO, O. and JAMTVEIT, B. (2003) The preservation potential of microstructures during static grain growth Jour. Metamorphic Geol., v.21, pp.481-491.
  • JESSELL, M.W., SIEBERT, E., BONS, P.D., EVANS, L. and PIAZOLO, S. (2005) A new type of numerical experiment on the spatial and temporal patterns of localization of deformation in a material with a coupling of grain-size and rheology. Earth Planet Sci Lett., v.239, pp.309-326.
  • JESSELL, M.W., BONS, P.D., GRIERA,A. and EVANS, L. (2009) A tale of two viscosities. Jour. Struc .Geol., v.31, pp.719-736.
  • KENIS, I., URAI, J. L., VON DER ZEE, WOUTER, HILGERS, C. and SINTUBIN, M. (2005) Rheology of fine-grained siliciclastic rocks in the middle crust-evidence from structural and numerical analysis. Earth Planet. Sci. Lett., v.233, pp.351-360.
  • KOEHN, D. and ARNOLD, J. (2003) Fracturing in Polycrystalline Materials. Jour. Virtual Explorer 11.
  • KOEHN, D., RENARD, F., TOUSSAINT, R. and PASSCHIER, C. W. (2007) Growth of stylolite teeth patterns depending on normal stress and finite compaction. Earth Planet Sci Lett, v.257, pp.582-595
  • LIU, K.M. and MCVEIGH, C. (2008) Predictive multiscale theory for design of heterogeneous materials. Computational Mechanics, v.42, pp.147-170.
  • MAURICE, C. (2001) Numerical modelling of grain growth: current status. In: Proceedings of the First Joint International Conference on Recrystallization and Grain Growth, Aachen, Germany, pp.123-134.
  • MEANS, W.D. (1981) The concept of steady-state foliation. Tectonophysics, v.78, pp.179-199.
  • MECKING, H. (1985) Deformation of polycrystals. In Wenk HR (ed) Preferred orientation in deformed metals and rocks: an introductionto modern texture analysis. Academic Press, London, pp.294-301.
  • PARK,Y., REE, J.-H. and KIM, S. (2001) Lattice preferred orientation in deformed-then annealed material. Observation from experimental and natural polycrystalline aggregates. Internat. Jour. Earth Sci., v.90, pp.127-135.
  • PARK, Y., PARK, D., EVANS, L. and REE, J-H. (2004) Elle-based 2- D model for cation exchange reaction between garnet and biotite. Jour. Virtual Explorer 15.
  • PASSCHIER, C.W. and TROUW, R.A.J. (2005) Microtectonics. 2nd Edition, Springer-Verlag, Berlin, Heidelberg.
  • PIAZOLO, S., JESSELL,M.W., BONS, P.D., EVANS, L. and PASSCHIER C.W. (2002) Dominance of Microstructural Processes and their effect on microstructural development: Insights from Numerical Modelling of dynamic recrystallization. Geol. Soc. London, Spec.Publ., v.200, pp.149-170.
  • PIAZOLO, S., JESSELL, M.J., PRIOR, D.J. and BONS, P.D. (2004) The integration of experimental in-situ EBSD observations and numerical simulations: a novel technique of microstructural process analysis. Jour. Microscopy, v.213, pp.273-284
  • RANALLI, G. (1995) Rheology of the Earth, 2nd edition, Chapman and Hall.
  • REGENAUER-LIEB, K., HOBBS, B., YUEN, D.A., ORD, A., ZHANG, Y., MUHLHAUS, H.B. and MORRA, G. (2006) From point defects to plate tectonic faults. Philosophical Magazine, v.86, pp.3373-3392.
  • TENCZER,V., STUWE, K. and BARR, T.D. (2001) Pressure anomalies around cylindrical objects in simple shear. Jour. Struc. Geol., v.23, pp.777-788.
  • TRIMBY, P.W., PRIOR, D.J. and WHEELER, J. (1998) Grain boundary hierarchy development in a quartz mylonite. Jour. Struct. Geol., v.20, pp.913-935.
  • TULLIS J., STUNITZ H., TEYSSIER C. and HEILBRONNER, R. (2000) Deformation microstructures in quartzo-feldspathic rocks. Journal of the Virtual Explorer, 2.
  • STOCKHERT, B. and DUYSTER, J. (2000) Discontinuous grain growth in recrystallised vein quartz - implications for grain boundary structure, grain boundary mobility, crystallographic preferred orientation, and stress history. Jour. Struc. Geol., v. 21, pp. 1477-1490.
  • URAI, J.L., MEANS, W.D. and LISTER, G.S. (1986) Dynamic recrystallization of minerals. American Geophys. Union Monograph, v.36, pp.161-199.
  • WHEELER J., PRIOR, D.J., JIANG, Z., SIEES, R. and TRIMBY, P.W. (2001) The petrological significance of misorientations between grains. Contributions to Mineralogy and Petrology, v.141, pp.109-124.

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  • Numerical Simulations of Microstructures Using the Elle Platform: A Modern Research and Teaching Tool

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Authors

S. Piazolo
Department of Geology and Geochemistry, Stockholm University, 10961 Stockholm, Sweden
M. W. Jessell
UMR5563, IRD UR 154, Laboratoire des Mecanismes et Transferts en Geologie, Universite Paul-Sabatier, 14 Ave Edouard Belin, 31400 Toulouse cedex, France
P. D. Bons
Mineralogie und Geodynamik, Institut fuer Geowissenschaften, Eberhard Karls Universitaet Tuebingen, Sigwartstr. 10, 72076 Tuebingen, Germany
L. Evans
School of Earth Sciences, University of Melbourne, VIC 3010, Australia
J. K. Becker
Mineralogie und Geodynamik, Institut fuer Geowissenschaften, Eberhard Karls Universitaet Tuebingen, Sigwartstr. 10, 72076 Tuebingen, Germany

Abstract


The last 20 years have seen a manifold increase in the application of numerical simulations in the earth sciences. This contribution aims to provide an overview of the possibilities of using numerical techniques, in particular the numerical simulation package Elle, as an aid in the training for microstructural interpretation in rocks. Three sets of experiments are described to illustrate the range of simulations currently possible, investigating the effects of grain growth, polyphase deformation and dynamic recrystallisation.

Numerical simulations of static annealing of a pre-deformed natural sample show that Crystallographic Preferred Orientations can still be used for the interpretation of kinematic and deformation conditions, even after substantial postdeformational annealing. However, the grain network characteristics such as grain size, grain size distribution, boundary shapes and aspect ratios are rapidly altered during annealing, especially if the grains possessed highly contrasting internal strain energies.

Experiments modelling two and three phase viscous deformation show that the rheology and microstructural evolution of a rock is largely determined by the linearity or non-linearity of viscous deformation; whereas the number of phases with differing viscosity is less important. Variations in strain in the same mineral phases can be used to infer flow properties. The spatial distribution of phases significantly influences the rheology at a specific point in time.

During dynamic recrystallization the rates of the competing processes of grain size reduction and increase can have a systematic influence on the evolution of grain characteristics. Relatively high rates of grain size increasing processes result in larger grain sizes, lower aspect ratios, stabilization of grain size at lower strain and less strain localization.

Numerical simulations can help to answer field related questions and to identify the number of significant active processes. They are also extremely useful as teaching tools as processes can easily be turned on or off, parameters can be changed and boundary conditions altered. Fortunately, numerical simulations have now matured to a point where users that do not want to spend time in coding a model can still perform and analyse numerical simulations.


Keywords


Microstructure, Numerical Modelling, Crystallographic Preferred Orientation, Localization, Annealing, Deformation.

References