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Solid Earth An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/se-2019-67
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-2019-67
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Method article 12 Apr 2019

Method article | 12 Apr 2019

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Solid Earth (SE).

2-D finite displacements and finite strain from PIV analysis of plane-strain tectonic analogue models

David Boutelier1, Christoph Schrank2, and Klaus Regenauer-Lieb3 David Boutelier et al.
  • 1School of Life and Environmental Sciences, UON, Newcastle
  • 2School of Earth, Environmental and Biological Sciences, QUT, Brisbane
  • 3School of Minerals and Energy Resources Engineering, UNSW, Sydney

Abstract. Image correlation techniques have provided new ways to analyze the distribution in space and time of deformation in analogue models of tectonics. Here we demonstrate how the correlation of successive time-lapse images of a deforming model allows not only to evaluate the components of the strain-rate tensor at any time in the model but also calculate the finite displacements and finite strain tensor. We illustrate, using synthetic images, the ability of the algorithm to produce maps of the velocity gradients, small-strain tensor components, but also incremental or instantaneous principal strains and maximum shear. The incremental displacements can then summed up using a Eulerian or a Lagrangian summation, and the components of the 2-D finite strain tensor can be calculated together with the finite principal strain and maximum finite shear. We benchmark the measures of finite displacements using specific synthetic tests for each summation mode. The deformation gradient tensor is calculated from the deformed state, and decomposed into the finite rigid-body rotation and left or right finite stretch tensors, allowing the deformation ellipsoids to be drawn. The finite strain has long been the only quantified measure of strain in analogue models. The presented software package allows producing these finite strain measures while also accessing incremental measures of strain. The more complete characterization of the deformation of tectonic analogue models will facilitate the comparison with numerical simulations and geological data, and help produce conceptual mechanical models.

David Boutelier et al.
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David Boutelier et al.
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Short summary
Image correlation techniques have provided new ways to analyze the distribution in space and time of deformation in analogue models of tectonics. Here we demonstrate how the correlation of successive time-lapse images of a deforming model allows calculating the finite displacements and finite strain tensor. We illustrate, using synthetic images, the ability of the algorithm to produce maps of the finite deformation.
Image correlation techniques have provided new ways to analyze the distribution in space and...
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