Generalized Hough transform for the stress inversion of calcite twin data

Yamaji, Atsushi

doi:10.1016/j.jsg.2015.08.001

Cited by 17 publications

(24 citation statements)

References 24 publications

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“…Since the pioneering work of Turner (1953), several methods of stress reconstruction have been developed on the basis of the analysis of calcite twin data (Etchecopar et al, 1981;Jamison and Spang, 1976;Laurent et al, 1990Laurent et al, , 1981Nemcok et al, 1999;Pfiffner and Burkhard, 1987;Yamaji, 2015aYamaji, , 2015b.…”

Section: A Brief Review Of Existing Methods To Derive Stress From Calmentioning

confidence: 99%

“…In 2009, Gągała questioned the ability of this technique to reliably reconstruct the orientations of the principal stress axes and the stress ratio of close superimposed stress tensors. The penalization function used to refine the tensor solution is considered to be too restrictive by Rez and Melichar (2010) and Yamaji (2015b), especially when dealing with natural samples where optical measurement bias may occur. For Rez and Melichar (2010), the penalization function of CSIT (see section 3.1) is strongly dependent on the compatible twinned and the incompatible untwinned planes with the stress tensor solution.…”

Section: A Brief Review Of Existing Methods To Derive Stress From Calmentioning

confidence: 99%

“…The most recent stress inversion technique to date has been proposed by Yamaji (2015b). This technique, based on the generalized Hough transform, provides like CSIT, the 5 parameters of the deviatoric stress tensor.…”

Section: A Brief Review Of Existing Methods To Derive Stress From Calmentioning

confidence: 99%

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Inversion of calcite twin data for paleostress orientations and magnitudes: A new technique tested and calibrated on numerically-generated and natural data

et al. 2018

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The inversion of calcite twin data is a powerful tool to reconstruct paleostresses sustained by carbonate rocks during their geological history. Following Etchecopar's (1984) pioneering work, this study presents a new technique for the inversion of calcite twin data that reconstructs the 5 parameters of the deviatoric stress tensors from both monophase and polyphase twin datasets. The uncertainties in the parameters of the stress tensors reconstructed by this new technique are evaluated on numerically-generated datasets. The technique not only reliably defines the 5 parameters of the deviatoric stress tensor, but also reliably separates very close superimposed stress tensors (30° of difference in maximum principal stress orientation or switch between σ₃ and σ₂ axes). The technique is further shown to be robust to sampling bias and to slight variability in the critical resolved shear stress. Due to our still incomplete knowledge of the evolution of the critical resolved shear stress with grain size, our results show that it is recommended to analyze twin data subsets of homogeneous grain size to minimize possible errors, mainly those concerning differential stress values. The methodological uncertainty in principal stress orientations is about ± 10°; it is about ± 0.1 for the stress ratio. For differential stresses, the uncertainty is lower than ± 30%. Applying the technique to vein samples within Mesozoic limestones from the Monte Nero 2 anticline (northern Apennines, Italy) demonstrates its ability to reliably detect and separate tectonically significant paleostress orientations and magnitudes from naturally deformed polyphase samples, hence to fingerprint the regional paleostresses of interest in tectonic studies.

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Section: A Brief Review Of Existing Methods To Derive Stress From Calmentioning

confidence: 99%

Section: A Brief Review Of Existing Methods To Derive Stress From Calmentioning

confidence: 99%

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Inversion of calcite twin data for paleostress orientations and magnitudes: A new technique tested and calibrated on numerically-generated and natural data

et al. 2018

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“…When combined with twin orientation measurements, this last approach may be re-developed to evaluate the complete deviatoric stress tensor (e.g. Laurent et al, 1981;Lacombe and Laurent, 1992;Nemcock et al, 1999;Lacombe, 2007;Gagala, 2009;Yamaji, 2015a;2015b).…”

Section: Introductionmentioning

confidence: 99%

Using neutron diffraction to examine the onset of mechanical twinning in calcite rocks

Covey-Crump

Schofield

Oliver

2017

Journal of Structural Geology

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Experimental calibration of the calcite twin piezometer is complicated by the difficulty of establishing the stresses at which the twins observed in the final deformation microstructures actually formed. In principle, this difficulty may be circumvented if the deformation experiments are performed in a polychromatic neutron beam-line because this allows the elastic strain (and hence stress) in differently oriented grains to be simultaneously monitored from diffraction patterns collected as the experiment is proceeding. To test this idea small strain (<0.3%), uniaxial compression experiments have been performed on Carrara marble (grain size 150 µm) and Solnhofen limestone (5 µm) at temperatures of 20°-600°C using the ENGIN-X instrument at the ISIS neutron facility, UK. At the lowest temperatures (25°C Carrara; 200°C Solnhofen) the deformation response was purely elastic up to the greatest stresses applied (60 MPa Carrara; 175 MPa Solnhofen). The sign of the calcite elastic stiffness component c 14 is confirmed to be positive when the obverse setting of the calcite rhombohedral lattice in hexagonal axes is used. In the Carrara marble samples deformed at higher temperatures, elastic twinning was initiated at small stresses (<15 MPa) in grains oriented such that the Schmid factor for *Manuscript Click here to view linked References 2 twinning was positive on more than one e-twin system. At greater stresses (65 MPa at 200°C decreasing to 41 MPa at 500°C) there was an abrupt onset of permanent twinning in grains with large Schmid factors for twinning on any one e-twin system. No twinning was observed in the Solnhofen limestone samples deformed at 200° or 400°C at applied stresses of < 180 MPa. These results highlight the potential of this approach for detecting the onset of twinning and provide, through experiments on samples with different microstructures, a strategy for systematically investigating the effects of microstructural variables on crystallographically-controlled inelastic processes.

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“…Shimamoto-Ikeda hyperbolic vector mean method Yamaji, 2013a principle of coordinate invariance; e.g., Ottosen and Ristinmaa, 2005Sato and Yamaji, 2006Yamaji, 2015, 1985 principle of material frame-indifference principle of material objectivity Walter Noll URL5 principle of coordinate invariance Barrera, 2012 N f, g, h O-fgh det N = fg h 2 = 1 Fig. 12a 1 1 1, 1, 0 …”

mentioning

confidence: 99%