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108   4  ·  Foliations, Lineations and Lattice Preferred Orientation
                   4.4.4.2                                        Box 4.10 Problems with the interpretation of shear
                   The Effects of Strain and Recrystallisation            sense using quartz LPO
                                                                  The reader should be aware of possible pitfalls in the assess-
                   Increasing strain at constant flow parameters and tempera-
                                                                  ment of shear sense using quartz LPO. First, the shear sense
                   ture will theoretically lead to strengthening of an LPO pat-  observed may not be associated with the other fabric elements
                   tern (Fig. 4.41; Lister and Hobbs 1980), but fabric geometry  visible in the rock. For example, where thin quartz seams oc-
                   may also change with increasing strain. The opening an-  cur between other mineral grains, the flow kinematics may
                   gle of small circle girdles of c-axes in Type I crossed girdles  have been completely different from the bulk flow. Another
                                                                  possible error occurs at high strain, if fabrics are vague or
                   of a flattening progressive deformation regime (Fig. 4.41a)
                                                                  incomplete, e.g. due to recrystallisation or the presence of
                   may decrease with increasing strain if dynamic recrys-  grains of a second mineral. In this case, the orientation of the
                   tallisation is subdued; low temperature and high strain  LPO pattern with respect to a reference foliation S r  that is ap-
                   rate also produce relatively small opening angles (Tullis et al.  proximately parallel to the fabric attractor will give the wrong
                   1973; Marjoribanks 1976; Jessell 1988b). This is an effect  shear sense if it is interpreted as an external asymmetry
                                                                  (Fig. B.4.6). It is therefore wise not to rely exclusively on quartz
                   of the competition of grain rotation in response to disloca-
                                                                  c-axis fabrics to determine shear sense.
                   tion glide and dynamic recrystallisation. Small circle gir-
                   dles of c-axes are mostly due to grains with basal slip planes
                   at 45° to the shortening ISA; these grains have high resolved
                   shear stress on the slip system and are in optimal orien-
                   tation for ‘easy slip’. However, the slip planes in such grains
                   rotate away from this orientation towards the fabric
                   attractor with increasing strain, causing a decrease in the
                   opening angle of the small circle girdle (Fig. 4.39). High
                   temperature and low strain rate promote grain boundary
                   migration that may consume grains that have rotated to-
                   wards the shortening direction and this may hamper the
                   decrease in the opening angle with increasing strain.
                     There are also indications that single c-axis girdles  Fig. B.4.6. a Contoured LPO pattern of quartz c-axes with a clear
                   with external asymmetry can form in simple shear  internal asymmetry and external asymmetry with respect to S r
                   through an intermediate stage with symmetric crossed  indicating dextral shear sense. b A similar pattern but more
                                                                  vague so that it lost its internal asymmetry, and at high finite
                   girdles (Fig. 4.44; Garcia Celma 1982, 1983; Schmid and  strain for dextral shear sense when S  and L  are approximately
                                                                                          r
                                                                                              r
                   Casey 1986; Herwegh et al. 1997). This effect may be due  parallel to the fabric attractor. The pattern in b could be mis-
                   to an increasing effect of dynamic recrystallisation on de-  taken for external asymmetry of a single girdle oblique to S  at
                                                                                                        r
                   velopment of LPO patterns with increasing strain; the  low strain, and erroneously interpreted to represent a sinistral
                   change in fabric can be due to selective removal of grains  shear sense. Black solid line and dots represent S r  and L r . The
                                                                  grey line marks the fabric attractor plane
                   in unfavourable orientations for slip by recrystallisation
                   (Schmid and Casey 1986; Jessell 1988a,b). A change in LPO
                   pattern geometry similar to that shown in Fig. 4.44 may  4.4.4.3
                   occur in transition between pure shear and simple shear  Shear Sense Determination Using Quartz Fabrics
                   progressive deformation (Schmid and Casey 1986).
                                                                Patterns of c- and <a>-axes of quartz obtain an asymme-
                                                                try (actually a monoclinic symmetry) when they accu-
                                                                mulate by non-coaxial progressive deformation, and this
                                                                asymmetry can be used to deduce sense of shear. There
                                                                are two elements; some patterns, such as the skewed Type I
                                                                c-axis crossed girdles, have an internal asymmetry, inde-
                                                                pendent of other fabric elements (Fig. 4.42). More impor-
                                                                tant, however, is an external asymmetry of the patterns
                                                                with respect to S  and L  in the rock (Fig. 4.42). <a>-Axes
                                                                                  r
                                                                             r
                                                                cluster near the fabric attractor, and c-axes in a girdle nor-
                   Fig. 4.44. Pole diagrams with contoured LPO patterns of quartz c-  mal to the attractor. At very high temperature, c-axes clus-
                   axes for three samples from a ductile shear zone, from the edge to  ter near the fabric attractor (Fig. 4.42); S  and L  in the same
                                                                                              r
                                                                                                   r
                   the centre. Black solid line and dots represent reference foliation and  rock rotate towards the fabric attractor but will lie in the
                   lineation. The horizontal grey line marks the fabric attractor plane.
                   The pattern changes from a Type I crossed girdle to a single girdle  extension quadrant of the flow; consequently, there will
                   and becomes sharper with increasing strain to the centre of the zone  be an angle between S  or L  and elements of the LPO fabric
                                                                                     r
                                                                                 r
                   but does not rotate with respect to the fabric attractor  which can be used to determine sense of shear (Fig. 4.42).
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