structural geology and tectonic analysis

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    Principles of structural

    geology and tectonic

    analysis

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    Strain

    In response to stress, rocks undergotransformations that are decomposed in 3

    operations: Rotation Translation

    Deformation which corresponds to a change inform

    Strain is a change in shape or internal

    configuration of a body

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    Strain Strain is marked by

    Transformation of an initial circle/sphere intoan ellipse/ellipsoid

    The axis of deformation

    Movement of particules defined by aninstantaneous velocity vector, defining flowlines and finally trajectories

    The kinematic notion, a function of time

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    Stress and strain Rheology is the study of the relationships between

    stress imposed on a body and resulting strains or

    strain rates Competence is a general term to describe the ease

    with which a material can deform

    In response to a stress, strain may be Reversible, elastic deformation

    Brittle, failure of a stressed body, at a certainstate, the solid rocks lose their internalcohesion

    Permanent, ductile flow without brittledeformation

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    3 axis of deformation, a finite strain ellipsoid

    Principal

    strain directions, X, Y, Z

    planes XY, YZ, ZX

    changes in length e1, e2, e3

    ratios Rxy, Ryz, Rzx

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    The Flinn graph for representing the

    shape of any ellipsoid

    X/Y

    Y/Z Ramsay & Huber, Academic Press Lim., 1983

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    Strain regimes

    Deformation in rocks occurs under 2 strainregimes: Pure shear

    Simple shear Under combination of pure and simple

    shear

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    Simple shear

    A displacement which transforms an initialsquare in a parallelogram where thedisplacement vectors are all oriented

    parallel to one set of the opposite sides ofthe square and parallelogram. The vectordirection is know as the shear direction.

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    Transformation of a sphere in an

    ellispoid, 2 strain regimes

    Pure shear

    Simple shear

    /X

    /Z

    Choukroune, Masson, 1995

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    2 end-members

    Deformation >

    Displacement

    Flow lines are parallel to

    the shear direction during

    the deformation

    Flow lines tends to

    become perpendicular to

    the Z shortening axis

    Axis of deformation

    rotate (non coaxial and

    rotational)

    Axis of deformation

    remains parallel (coaxial

    and non rotational)

    Simple shearPure shear

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    Finite strain ellipsoid and strain regimes

    Choukroune, Masson, 1995

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    The Flinn graph for representing the

    shape of any ellipsoid

    X/Y

    Y/Z Ramsay & Huber, Academic Press Lim., 1983

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    Change in geometry from coaxial to noncoaxial regimes

    Coaxial Non coaxial

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    Markers of the finite strain ellipsoid

    Fold and boudinage structures Boudinage is a structure produced during heextension of competent layers enclosed in anincompetent matrix

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    Deflection of cleavage around a competentfragment of quartzite in an argilite

    Ramsay & Huber, Academic Press Lim., 1983

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    Folding and boudinage in a Flinn graph

    FLATTENING

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    Markers of the finite strain ellipsoid

    Deformation of pre-tectonic objects pebble, phenocryst, oolithe, redox spot,

    fossil.. Mineral fabric and pressure shadows

    Fabric is the geometric and spatialrelationships between the crystalcomponents making a rock, i.e. preferredorientation of grain shapes and

    crystallographic axis, the grain size Pressure shadow is a region of low strainprotected from deformation by a rigid orcompetent object in a rock of lower

    competence

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    Pressure shadows in a Flinn graphL>>S

    S >> L

    L=S

    A li t f b i L S f th

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    A linear type fabric: L>>S from theHakos mountains

    A granitic orthogneiss

    A li t f b i : L>>S f th

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    A linear type fabric: L>>S from theHakos mountains

    A metaconglomerate

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    Sheared

    Gamsberggranite

    XZ plane

    YZ plane

    1 single rock!

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    Shearedrhyolite

    XZ plane

    YZ plane

    1 single rock !

    P i i i d i

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    Partitioning and time

    Homogeneous vs non homogeneous deformation The definition of zones of homogeneous

    deformation

    The notion of bulk strain, an average strain in aheterogeneously deformed material

    Finite strain vs incremental deformation, notion

    of progressive deformation Increment from one stage to the next Rate of change along the main strain axis and of

    rotation defines the principal strain rates and thevorticity

    Definition of the strain regime by identification

    and analysis of the markers of incrementaldeformation

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    Pure shear and development ofstructural elements

    Crenulation and mechanical rotation Pressure-solution, a deformation process

    whereby material under stress goes intosolution at a localized point in a material,this material is transported by flow ordiffusion

    Recrystallisation Transposition

    P h d d l f f ld

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    Pure shear and development of folds ,

    axial plane cleavage...

    P h d d l t f f ld

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    Pure shear and development of folds,

    axial plane cleavage...

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    Progressive stages in fabric

    development of a shale

    Initial compacted

    Ealiest deformation Pencil structure

    Embryonnic deformation

    plane

    deformation plane

    deformation plane withstretching lineation

    Type of linear fabric

    C D E F

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    Simple shear and development of shearzone

    A shear zone is a zone with sub-parallel

    walls in which high deformations arelocalized Effects of non coaxial deformation

    Plane strain ellipsoid Markers of rotational deformation

    Coexistence of deformation and displacement

    planes, S/C/C structures Assymetric pressure shadows and mineral

    fabric

    Folding

    S C C structures

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    S C C structures

    The S plane: the deformation plane, with no displacementThe C and C

    planes: the displacement planes with highdeformation (mylonitisation)

    S

    C

    C//S

    C

    SC

    C

    C

    S C C structures: a

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    C

    C

    S

    C

    S C

    C

    C//S

    C

    S C C structures: a

    progressive phenomenon

    t1

    t2

    t3

    S C C structures

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    S C C structures

    C

    C

    S

    CS

    Assymetric pressure shadow

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    Assymetric pressure shadow

    C

    C

    Assymetric pressure shadow

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    y p

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    Cleavage bendingand helicitic

    inclusions

    A t i f ld

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    Assymetric folds

    and pressureshadows

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    Fabric in a ductile simple shear zone

    A reverse shear zone within the basement

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    A reverse shear zone within the basementinlier of the Damara foreland

    Sheared porphyric granite

    L downdip tectonite

    C

    S

    C

    S//C

    Development of non cylindrical folds

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    Development of non cylindrical folds

    during non coaxial deformation

    Development of non cylindrical foldsd l d f

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    during non coaxial deformation

    Development of non cylindrical foldsd i i l d f i

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    during non coaxial deformation

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    Progressive developement of sheath

    folds

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    Sheath folds fromthe Ile de Groix

    Sheath folds from the base of a thrust

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    f f m fnappe from the Variscan belt of France

    Sheath folds from the base of a thrust

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    nappe from the Hakos mountains

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    h f l

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    Change in geometry from coaxial to non

    coaxial regimes

    Coaxial Non coaxial

    Conjugate shear zones: a coaxial regime

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    C

    S

    CC

    S

    NNW SSE

    vs a non coaxial regime

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    vs a non coaxial regime...

    C

    S

    C

    S//C