Fold axis rotation during transpressional folding Insights from

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Fold axis rotation during transpressional folding — Insights from numerical modeling and application to

Fold axis rotation during transpressional folding — Insights from numerical modeling and application to the Zagros Simply Folded Belt Marcel Frehner ETH Zurich, Switzerland marcel. frehner@erdw. ethz. ch Swiss Geoscience Meeting marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 1

Folds are 3 D structures Makran, SE Iran 3 D folds have to be

Folds are 3 D structures Makran, SE Iran 3 D folds have to be studied in 3 D Swiss Geoscience Meeting marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 2

Folds are 3 D structures Makran, SE Iran Swiss Geoscience Meeting marcel. frehner@erdw. ethz.

Folds are 3 D structures Makran, SE Iran Swiss Geoscience Meeting marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 3

…also in Switzerland Part of the Geological Map of Switzerland (1: 500’ 000; swisstopo)

…also in Switzerland Part of the Geological Map of Switzerland (1: 500’ 000; swisstopo) Swiss Geoscience Meeting marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 4

Application: Zagros Simply Folded Belt Erbil Tehran Baghdad Jerusalem Al Kuwait 500 km Swiss

Application: Zagros Simply Folded Belt Erbil Tehran Baghdad Jerusalem Al Kuwait 500 km Swiss Geoscience Meeting Dubai marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 5

Zagros Simply Folded Belt: Linkage Grasemann & Schmalholz (Geology 2012) Bretis et al. (Basin

Zagros Simply Folded Belt: Linkage Grasemann & Schmalholz (Geology 2012) Bretis et al. (Basin Res. 2011) § Almost cylindrical folds result from linkage of several folds that grow towards each other. Swiss Geoscience Meeting marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 6

3 D fold growth Colors: Normalized fold amplitude Frehner (Terra N. 2014) Contours: Normalized

3 D fold growth Colors: Normalized fold amplitude Frehner (Terra N. 2014) Contours: Normalized fold amplitude = (A 0/2) § Fold amplification: Amplitude in vertical direction § Fold elongation: Amplitude parallel to fold axis § Sequential fold growth: Amplitude perpendicular to axial plane Swiss Geoscience Meeting Aspect ratio in map view ≈1 marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 7

Fold axis orientation in transpression Initial fold axis orientation Evolution of fold axis orientation

Fold axis orientation in transpression Initial fold axis orientation Evolution of fold axis orientation § Instantaneous stretching axis (ISAmax) § Major principal strain axis (lmax) § Passive marker line ? § A material line § No hinge migration § Staying parallel to and rotating with (lmax) § Not a material line § Hinge migration Swiss Geoscience Meeting marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 8

Frehner (Tectonophys. in press) Fold axes are always parallel to lmax, independently of viscosity

Frehner (Tectonophys. in press) Fold axes are always parallel to lmax, independently of viscosity ratio a=0° Simple shear a=45° a=90° Pure shear Fold axis orientation in transpression Swiss Geoscience Meeting marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 9

Unique triangular relationship Convergence angle Applied strain Fold axis orientation Independent of … §

Unique triangular relationship Convergence angle Applied strain Fold axis orientation Independent of … § convergence angle § applied strain § viscosity ratio Swiss Geoscience Meeting Fold axes are always parallel to lmax, independently of viscosity ratio marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 10

Application: Zagros Simply Folded Belt Erbil Tehran Baghdad Jerusalem Al Kuwait 500 km Swiss

Application: Zagros Simply Folded Belt Erbil Tehran Baghdad Jerusalem Al Kuwait 500 km Swiss Geoscience Meeting Dubai marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 11

Strain partitioning in the ZSFB Frehner et al. (Tectonics 2012) Intermediate to full strain

Strain partitioning in the ZSFB Frehner et al. (Tectonics 2012) Intermediate to full strain partitioning Swiss Geoscience Meeting Frehner (Tectonophys. in press) marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 12

Take-home messages Frehner (Tectonophys. in press) § In transpression, fold axes are always parallel

Take-home messages Frehner (Tectonophys. in press) § In transpression, fold axes are always parallel to lmax, independent of … § convergence angle § applied strain § viscosity ratio § Therefore, a unique triangular relationship exists between § Convergence angle § Applied strain § Fold axis orientation § If two are known, the third can be determined. Swiss Geoscience Meeting Convergence angle Applied strain Fold axis orientation marcel. frehner@erdw. ethz. ch | 19. 11. 2016 | 13