A novel thermodynamic framework for multi-scale data assimilation: First applications from micro CT-scans to meso-scale microstructure

Regenauer-Lieb, K., Karrech, A., Schrank, C., Fusseis, F., Rosenbaum, Gideon and Weinberg, R. F. (2009). A novel thermodynamic framework for multi-scale data assimilation: First applications from micro CT-scans to meso-scale microstructure. In: AGU Fall Meeting 2009 Abstracts. 2009 AGU Fall Meeting, San Francisco, CA, U.S.A., (MR44A-02-MR44A-02). 14-18 December 2009.

Author Regenauer-Lieb, K.
Karrech, A.
Schrank, C.
Fusseis, F.
Rosenbaum, Gideon
Weinberg, R. F.
Title of paper A novel thermodynamic framework for multi-scale data assimilation: First applications from micro CT-scans to meso-scale microstructure
Conference name 2009 AGU Fall Meeting
Conference location San Francisco, CA, U.S.A.
Conference dates 14-18 December 2009
Convener American Geophysical Union (AGU)
Proceedings title AGU Fall Meeting 2009 Abstracts   Check publisher's open access policy
Journal name Eos, Transactions, American Geophysical Union   Check publisher's open access policy
Place of Publication Washington, DC, U.S.A.
Publisher American Geophysical Union
Publication Year 2009
Sub-type Published abstract
ISSN 0096-3941
Volume 90
Issue 52 Supp.
Start page MR44A-02
End page MR44A-02
Total pages 1
Collection year 2010
Language eng
Formatted Abstract/Summary
Predicting the way the Earth works at multiple spatial and temporal scales is a current challenge in computational physics. So far there has been no development of a clear roadmap for the practical implementation of a framework linking the range of scales in the Earth. We propose a thermodynamic approach that allows us to come up with a multi-scale prediction of basic (thermodynamic) length and time scales for dissipative processes. In this presentation we focus on the practical aspects and not the theory. We show how the approach may be coupled to data assimilation at multiple scales. The theoretical approach builds on an application of limit theorems in continuum mechanics to finite-time thermodynamics. Finite-time thermodynamics formalizes the concept of finite time availability for a particular resource (e.g. temperature, chemical species). This leads to concepts such as thermodynamic length (e.g. thermal, chemical diffusion length) for dissipative processes. Using this metric we can classify and nest processes on vastly different time scales. We do this by solving at a given time scale upper and lower bounds of entropy production. These two bounds give thermodynamic equilibrium properties (e.g. elastic properties), or upper bounds for dissipative properties (e.g. viscosity), respectively. These properties are benchmarked through assimilation of observational data and used to inform the large-scale explicit far-from-equilibrium calculations. We constrain the large scale Earth model through assimilation of data at smaller scales. We present significant progress in supplying tensor-valued transport properties from X-Ray synchrotron analyses. Using these observations we propose a way forward that allows a basic assessment of meso-scale modes of micro-structural deformation on the explicit formulation of the entropy production of the grain-scale microstructure. A first draft basic workflow from the grain-scale to the geodynamic scale will be presented. This workflow encompasses data-assimilation at multiple scales as a critical element for benchmarking.
Subjects 970104 Expanding Knowledge in the Earth Sciences
040313 Tectonics
E1
Q-Index Code EX
Q-Index Status Provisional Code
Institutional Status UQ
Additional Notes Presented during the Session "MR44A: Mineral and Rock Physics. Rock Deformation From Grain Boundaries to Plate Boundaries III." as Paper MR44A-02.

Document type: Conference Paper
Collection: School of Earth Sciences Publications
 
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Created: Wed, 05 May 2010, 18:18:06 EST by Tracy Paroz on behalf of School of Earth Sciences