Three-dimensional strain analysis using Mathematica

Mookerjee, Matty; Nickleach, Scott

doi:10.1016/j.jsg.2011.08.003

Cited by 37 publications

(17 citation statements)

References 30 publications

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“…They were finally analysed via the program SPO2003 (Launeau & Robin, 2005) to obtain the long axis orientation and shape ratio of the sectional fabric ellipses. The three sectional ellipses of each site were then combined to construct a best-fit ellipsoid using the program Best-Fit Ellipsoid-v2.0 (Mookerjee & Nickleach, 2011). Details of the analytical methodology can be found in Launeau and Robin (2005) and Mookerjee and Nickleach (2011).…”

Section: Spo Analysismentioning

confidence: 99%

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Tectonic setting of the Late Triassic magmatism in the Qinling Orogen: New constraints from the interplay between granite emplacement and shear zone deformation in the Shagou area

Liang

Zhang

et al. 2017

Geological Journal

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Multidisciplinary studies of the Baliping granite pluton and the Shagou shear zone (East Qinling Orogen, Central China) have been conducted to reconstruct the emplacement and deformation processes of the Baliping pluton, to explore the relationship between granite pluton and shear zone deformation, and further to constrain the tectonic setting of the Late Triassic magmatism in the Qinling Orogen which remains controversial. Zircon U–Pb geochronology studies confirmed that the Baliping granites and the protolithes of the Shagou granitic mylonites crystallized from the same magmas at ca. 221 Ma since the two nearly have the same zircon U–Pb ages and Ti–in–zircon temperatures. Meanwhile, the 210 Ma of metamorphic zircons and the 201 Ma of syntectonic granitic vein provide precise limits on the timing of synkinematic deformation in response to Late Triassic orogeny. Anisotropy of magnetic susceptibility, microstructural observation, and shape preferred orientation were combined to study the internal structures. New fabrics datasets display a high degree of coupling between the Baliping pluton and the Shagou shear zone, indicating a syntectonic emplacement of the pluton. Microstructural data suggest that the magmatic to high‐temperature solid‐state deformation is a continuum process in which the fabrics were mainly acquired. We propose an integrated syntectonic emplacement model of the Baliping pluton, in which the shear zone deformation (sinistral transpression) play a significant role on the emplacement of the magma by creating rooms. Emplacement of the pluton, in turn, triggers the nucleation of Shagou shear zone by providing the protoliths and the heat. On the basis of this study, we argued that the Qinling Orogen was still under the convergent setting during 221–201 Ma.

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Section: Spo Analysismentioning

confidence: 99%

“…The three sectional ellipses of each site were then combined to construct a best-fit ellipsoid using the program Best-Fit Ellipsoid-v2.0 (Mookerjee & Nickleach, 2011). Details of the analytical methodology can be found in Launeau and Robin (2005) and Mookerjee and Nickleach (2011).…”

Section: Spo Analysismentioning

confidence: 99%

Tectonic setting of the Late Triassic magmatism in the Qinling Orogen: New constraints from the interplay between granite emplacement and shear zone deformation in the Shagou area

Liang

Zhang

et al. 2017

Geological Journal

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“…For calculating the strain ellipsoid shape in the ore-bearing shear zone in the study area, applied a suite of the geological program developed by (Mookerjee and Nickleach, 2011) and written in the Mathematica. The advantage of this program is utilized of arbitrary sectional ellipses to determining a general ellipsoid.…”

Section: Methodsmentioning

confidence: 99%

“…Indeed post-collisional (D2 phase) transtension evidence exported as Microsoft office Excel datasheet. This dataset imported to the Mathematica script, "Best-Fit Ellipsoid with Statistics for ImageJ with Vort-v3_0.nb" (Mookerjee and Nickleach, 2011). This process conducted for elliptical quartz marker in the three XY, XZ and XY section (Fig.…”

Section: Methodsmentioning

confidence: 99%

“…Strain ellipsoid shape is an effective tool to the deciphering rheological characteristic and reconstructing progressive ductile deformation history. Therefore in the recent decades, many efforts have been conducted to gain three-dimensional strain ellipsoid shape (Flinn, 1962;Shan, 2008;Mookerjee and Nickleach, 2011;Mulchrone and Talbot, 2014;Soares and Dias, 2015;Mookerjee and Fortescue, 2016).…”

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confidence: 99%

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Constraining of strain ellipsoid shape from sectional data in the Au bearing shear zone west of Iran

Behyari¹

2019

Acta Geodynamica Et Geomaterialia

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Ductile shear zone recorded valuable data about the progressive deformation and geodynamic setting of the earth crust. Analysis of the strain ratio on the deformed quartz grains in the samples of the Zagros orogenic shear zone indicated generally most of the strain ellipsoids shape are prolate and developed under constructional strain regime. Principal axes of the strain ellipticity ratio varied in the range between 2.04 to 3.12, shear strain magnitude analysis indicated ε s are between 0.6 to 1.3. Strain ellipsoid shape also revealed the propagation of the shear zone could not be coeval with the continental collision because in the collision region expected the ellipsoid shape to be oblate. Flattening strain regime in the Zagros Orogeny contemporaneous with the collisional event (D1 phase) and widespread in the Sanandaj-Sirjan Metamorphic Zone. Constructional conditions and prolate strain ellipsoid could be related to the post-collisional deformation phase (D2 phase). In this event stretching and shearing localized in the ductile shear zone and transtension structures superimposed on the former transpression structures. The deformation followed by third phase and brittle event (D3 phase) and caused to the propagation of veins. These veins somewhere cut the foliation and in the other place are parallel to foliation plane.

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Kinematics, strain patterns, rheology, and geochronology of Woka ductile shear zone: Product of uplift of Gangdese batholith and Great Counter Thrust activity

Feng

Wang

et al. 2020

Geological Journal

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The Woka ductile shear zone is located at the southern margin of the middle section of the Gangdese magmatic belt and southeast of Lhasa. This article is a systematic study of the Woka ductile shear zone and provides kinematics, strain patterns, rheology, temperature environment, and geochronological data of the shear zone, which have great significance for understanding of the uplift and extension process of the southern section of the Gangdese. All shear indicators, such as asymmetrical folds, rotated porphyroclasts, and S-C fabrics, developed in the shear zone indicate the shear sense of top-to-the-northwest with the shear nature of detachment. Mineral deformation thermometer and EBSD quartz fabric analysis indicate that the shear zone has experienced early high-temperature (550-650 C) deformation and post-superimposed low temperature (380-420 C) deformation. The differential stress (σ) of the ductile shear zone was 28.08-46.73 MPa. Strain rates (έ) ranged from 10 −10 to 10 −14 s −1 under a hightemperature environment (600 C) and 10 −12 to 10 −16 s −1 under a low-temperature environment (420 C). Three-dimensional strain ellipsoid measurements of the Woka ductile shear zone indicate that all deformed samples appear as prolate ellipsoids (LStype tectonites), which represent an elongate strain. The average kinematic vorticity of the Woka ductile shear zone is 0.93, implying that the shear zone was dominated by simple shear. The thickness of the ductile shear zone was reduced by 12-28%. Combined with the U-Pb zircon age of the protolith of granitic protomylonite, the 40 Ar/ 39 Ar sericite age of granitic mylonite (22.38 ± 0.31 Ma) can represent the shear age. The Woka shear zone studied in this article may have been formed by the Great Counter Thrust (GCT) activity and uplift of the Gangdese batholith during the transforming period of the Lhasa Terrane from extrusion to a lateral extension.

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Three-dimensional strain analysis using Mathematica

Cited by 37 publications

References 30 publications

Tectonic setting of the Late Triassic magmatism in the Qinling Orogen: New constraints from the interplay between granite emplacement and shear zone deformation in the Shagou area

Tectonic setting of the Late Triassic magmatism in the Qinling Orogen: New constraints from the interplay between granite emplacement and shear zone deformation in the Shagou area

Constraining of strain ellipsoid shape from sectional data in the Au bearing shear zone west of Iran

Kinematics, strain patterns, rheology, and geochronology of Woka ductile shear zone: Product of uplift of Gangdese batholith and Great Counter Thrust activity

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