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76    4  ·  Foliations, Lineations and Lattice Preferred Orientation

                    Box 4.2  Shape fabrics
                    In deformed rocks it is common to find a fabric composed of elon-  of a deformed rock, deformation by dislocation creep will form a
                    gate or disc-like grains or grain aggregates that define planes, or  GSPO that can be oblique to finite strain axes for the last deforma-
                    lineations if they share a linear direction. In general, this type of  tion phase. If the fabric consists of an alternation of grains of dif-
                    fabric is known as a shape preferred orientation (SPO).  ferent minerals, as in a granite, some minerals will deform more
                      If the fabric is composed of elongate or disc-like single grains of  strongly than others. Moreover, grains do not always deform up to
                    minerals, which normally form equidimensional grains in an  very high strain, but may be affected by recrystallisation to form new
                    undeformed rock, such as quartz or calcite, the fabric is known as a  grains with a low aspect ratio, so that aggregates consist of grains of
                    grain shape fabric or grain shape preferred orientation (GSPO). A  different shapes, depending on when they formed during the defor-
                    GSPO can be planar, linear of both. A linear GSPO is known as a  mation process. The mean aspect ratio of all these grains will only
                    grain lineation (Fig. B.4.2; Sect. 4.3). The term shape preferred ori-  reflect part of the finite strain. GBAR and static recrystallisation
                    entation or GSPO is not used for a preferred orientation of platy  can also change the shape of grains during and after deformation.
                    minerals such as micas or amphiboles that also have an elongate  If flow is coaxial a GSPO will at least lie approximately parallel to
                    shape in undeformed rocks.                  finite strain axes, even if the aspect ratio of the grains is not the
                      GSPO can be developed in primary grains such as sand grains in  same as the finite strain ratio. However, in non-coaxial flow the fi-
                    a quartzite or oolites. Monocrystalline ribbons (Boullier and  nite strain ellipse rotates away from the orientation of ISA with pro-
                    Bouchez 1978) can be regarded as an extreme case of such GSPO.  gressive deformation (Sect. 2.7). If grains recrystallise to form dur-
                    These ribbons form mostly in minerals where only a single slip  ing this deformation process, their mean orientation will only re-
                    system operates such as orthopyroxene but can also form in quartz  flect part of the finite strain, and the GSPO will lie somewhere be-
                    or feldspar under certain metamorphic conditions (Sect. 3.12).  tween the orientation of the flow ISA and finite strain axes.
                    Monocrystalline ribbons do not only form by deformation; they  Besides a preferred orientation of single grains or subgrains,
                    can also develop from polycrystalline ribbons that are bounded by  aggregates of grains can also have a preferred orientation, which is
                    other minerals due to grain boundary migration, e.g. in GBM or  visible, if individual aggregates are bounded by grains or aggregates
                    static recrystallisation (Sect. 3.10, 3.11).  of other minerals. This type of fabric could be named an aggregate
                      More commonly, GSPO develops in aggregates of secondary, re-  shape preferred orientation (ASPO; Fig. B.4.2). This kind of fabric
                    crystallised grains (Means 1981; Lister and Snoke 1984; Figs. B.4.2,  is also generally referred to as a shape fabric, either a planar shape
                    4.31c, 5.10f). Examples are shown in Figs. 4.25, 5.24, 5.30, 5.31. GSPO  fabric or a linear shape fabric. The term polycrystalline ribbon is
                    can develop by crystalplastic processes such as dislocation creep or  also occasionally used in thin section descriptions. Another name
                    solid-state diffusion (Sect. 3.4, 3.8) but solution transfer may also  for a linear shape fabric is an aggregate lineation (Sect. 4.3).
                    play a role. In the case of dislocation creep, the deformation inten-  ASPO most commonly forms by deformation of older aggregates
                    sity of each individual grain depends on its lattice orientation, since  of polycrystals such as conglomerates, or by deformation and re-
                    the activity of slip systems is a function of their orientation with  crystallisation of large grains (Fig. B.4.1; Sect. 4.2.7.5). Piazolo and
                    respect to the kinematic frame (see below) (Fig. 4.24). This can ex-  Passchier (2002a) demonstrated that, even if an original fabric is
                    plain why some quartz grains in a deformed quartzite may be much  undeformed, the strength of an ASPO depends not only on strain
                    less deformed than others (Fig. 4.24); however, other reasons may  intensity, but also on the initial mineral distribution and grain size
                    be a considerable difference in original grain shape or late prefer-  of the rock (Fig. B.4.1). Since the size of dynamically recrystallised
                    ential grain growth of some crystals. At high homologous tempera-  grains depends on differential stress (Sect. 9.6.2), a fine-grained
                    tures (Sect. 3.14), diffusion of ions through a crystal lattice becomes  poly- or monomineralic rock will flatten but may recrystallise to
                    increasingly important (Nabarro-Herring creep). Grains can be flat-  grains of the same size. In such cases, no ASPO can form. Only if a
                    tened in this case without activity of slip systems or the presence of  rock is polymineralic, and if the original grain size or aggregate
                    an intergranular fluid. This process may aid development of a grain  size exceeds that of the new recrystallised grains a new ASPO will
                    shape-preferred orientation in high-grade rocks, but its importance  form. An example of this influence is shown in Fig. B.4.1 where the
                    is uncertain since the number of active slip systems also increases  effect of original grain size and fabric on development of an ASPO
                    with temperature.                           during deformation and dynamic recrystallisation is shown. Other
                      If subgrains obtain an elongate shape, they may define a weak  possible mechanisms to form an ASPO are breakdown of large
                    foliation on thin section scale, which is named a subgrain shape  grains to other phases such as the common reaction of garnet to
                    preferred orientation (SSPO). SSPO and GSPO grade into each other  plagioclase upon decompression, followed by deformation (e.g.
                    where SGR recrystallisation transforms subgrains into new grains  garnet to plagioclase), and by boudinage of a layer into rods or discs.
                    (Sect. 3.7.2).                                As for GSPO, there is a relation between ASPO and finite strain.
                      The strength and orientation of a GSPO depends on finite strain,  ASPO is not easily reset by recrystallisation and therefore has a ten-
                    but there is no simple relationship. In an ideal case, a GSPO would  dency to lie close to the XY-plane of the strain ellipsoid, provided it
                    form by deformation of a set of spheres with isotropic rheological  formed from equidimensional older elements, and is not overprint-
                    properties. In this case, the GSPO would exactly mimic the geom-  ing an older ASPO. However, there is usually no good correlation
                    etry of the strain ellipsoid; a planar shape fabric would be parallel  between the 3D aspect ratio of aggregates and 3D finite strain ge-
                    to the XY-plane of finite strain, and a linear shape fabric with the  ometry. Freeman and Lisle (1987) have shown that viscous spheres
                    X-axis. However, in nature an older SPO may be overprinted and  of a certain rheology embedded in a material of an other rheology
                    the resulting shape will not reflect finite strain of the latest defor-  do not mimic the shape of the strain ellipsoid, but tend to be more
                    mation phase. Also, grains are not passive spheres, especially if they  linear if the viscosity is higher and more planar if the viscosity is
                    deform by dislocation creep. In this case, they only deform along  lower than that of the matrix. In conclusion, ASPO can in some cases
                    certain slip planes and, depending on the overall flow field, some  be used to find the orientation of finite strain axes, but has to be
                    will deform more strongly than others (Chap 4.2.7.4; Fig. 4.24;  interpreted with great care.
                    Wilson 1984). If a rock consists of equidimensional grains that have  A special type of shape fabric can be defined by domains com-
                    an older lattice preferred orientation, e.g. by static recrystallisation  posed of grains that share a certain crystallographic preferred ori-
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