Entropic bounds for multi-scale and multi-physics coupling in earth sciences

Regenauer-Lieb, Klaus, Karrech, Ali, Chua, Hui Tong, Poulet, Thomas, Veveakis, Manolis, Wellmann, Florian, Liu, Jie, Schrank, Christoph, Gaede, Oliver, Trefry, Mike, Ord, Alison, Hobbs, Bruce, Metcalfe, Guy, & Lester, Daniel (2014) Entropic bounds for multi-scale and multi-physics coupling in earth sciences. In Dewar, Roderick, Lineweaver, Charles, Niven, Robert, & Regenauer-Lieb, Klaus (Eds.) Beyond the Second Law. Springer, pp. 323-335.

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Abstract

The ability to understand and predict how thermal, hydrological,mechanical and chemical (THMC) processes interact is fundamental to many research initiatives and industrial applications. We present (1) a new Thermal– Hydrological–Mechanical–Chemical (THMC) coupling formulation, based on non-equilibrium thermodynamics; (2) show how THMC feedback is incorporated in the thermodynamic approach; (3) suggest a unifying thermodynamic framework for multi-scaling; and (4) formulate a new rationale for assessing upper and lower bounds of dissipation for THMC processes. The technique is based on deducing time and length scales suitable for separating processes using a macroscopic finite time thermodynamic approach. We show that if the time and length scales are suitably chosen, the calculation of entropic bounds can be used to describe three different types of material and process uncertainties: geometric uncertainties,stemming from the microstructure; process uncertainty, stemming from the correct derivation of the constitutive behavior; and uncertainties in time evolution, stemming from the path dependence of the time integration of the irreversible entropy production. Although the approach is specifically formulated here for THMC coupling we suggest that it has a much broader applicability. In a general sense it consists of finding the entropic bounds of the dissipation defined by the product of thermodynamic force times thermodynamic flux which in material sciences corresponds to generalized stress and generalized strain rates, respectively.

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ID Code: 69701
Item Type: Book Chapter
Keywords: Thermal hydrological mechanical chemical processes, THMC coupling, Non-equilibrium thermodynamics, Entropic bounds, Multi-scale, Multi-physics
DOI: 10.1007/978-3-642-40154-1_17
ISBN: 978-3-642-40153-4
ISSN: 1860-0840
Divisions: Current > Schools > School of Earth, Environmental & Biological Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2014 Springer
Deposited On: 03 Apr 2014 01:30
Last Modified: 22 Apr 2014 04:19

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