Multiscale coupling and multiphysics approaches in earth sciences : theory

Regenauer-Lieb, Klaus, Veveakis, Manolis, Poulet, Thomas, Wellmann, Florian, Karrech, Ali, Liu, Jie, Hauser, Juerg, Schrank, Christoph, Gaede, Oliver, & Trefry, Mike (2013) Multiscale coupling and multiphysics approaches in earth sciences : theory. Journal of Coupled Systems and Multiscale Dynamics, 1(1), pp. 49-73.

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Measuring Earth material behaviour on time scales of millions of years transcends our current capability in the laboratory. We review an alternative path considering multiscale and multiphysics approaches with quantitative structure-property relationships. This approach allows a sound basis to incorporate physical principles such as chemistry, thermodynamics, diffusion and geometry-energy relations into simulations and data assimilation on the vast range of length and time scales encountered in the Earth. We identify key length scales for Earth systems processes and find a substantial scale separation between chemical, hydrous and thermal diffusion. We propose that this allows a simplified two-scale analysis where the outputs from the micro-scale model can be used as inputs for meso-scale simulations, which then in turn becomes the micro-model for the next scale up. We present two fundamental theoretical approaches to link the scales through asymptotic homogenisation from a macroscopic thermodynamic view and percolation renormalisation from a microscopic, statistical mechanics view.

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ID Code: 69681
Item Type: Journal Article
Refereed: Yes
Keywords: Multiscaling, Multiphysics, Microstructure, Homogenisation, Complex Systems, Finite-Time Thermodynamics, Numerical Methods
DOI: 10.1166/jcsmd.2013.1012
ISSN: 2330-152X
Divisions: Current > Schools > School of Earth, Environmental & Biological Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 American Scientific Publishers
Deposited On: 03 Apr 2014 01:36
Last Modified: 03 Apr 2014 21:58

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