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141    Faults and fractures at depth



         Shmin    SHmax

                                                 m = 0.6
                                       t
                                                                  s hmin
                                        s hmin   s Hmax
        a.       Mode I
          Shmin    SHmax                                                T          B

                                       t                       b              P
                                              2b                  s hmin
                                             s
                                         s hmin   v
        b.       Normal                                       s v
          Shmin    SHmax                                                 T
                                                                                    P
                                        t         SS/RF        X               B
                                          SS/NF
                                               SS
                                             2b
                                          s hmin   s s Hmax
                                              v
        c.      Strike-slip
          Shmin    SHmax
                                                                        B          P
                                        t
                                                                  s Hmax
                                                                               T
                                                 2b
                                                              s
                                            s     s Hmax       v
        d.       Reverse                     v
           Map view         Stereonet     Mohr circle    Cross-section   Focal mechanism
               Figure 5.1. Schematic illustration of the orientation of various types of fractures and faults with
               respect to the orientation of S Hmax and S hmin . (a) Mode I fractures and joints are expected to form
               parallel to S Hmax and normal to S hmin . (b) Conjugate strike-slip faults are expected to be vertical and
                      ◦
               strike ∼30 from the direction of S Hmax (for µ ∼ 0.6). (c) Reverse faults are expected to dip ∼30 ◦
               (for µ ∼ 0.6) and strike normal to the direction of S Hmax . (d) Conjugate normal faults are expected
                      ◦
               to dip ∼60 (for µ ∼ 0.6) and strike parallel to the direction of S Hmax . Because fractures and faults
               are introduced during multiple deformational episodes (depending on the age and geologic history
               of the formation) it is common for formations to contain numerous fractures at a variety of
               orientations.
               in carbonate rocks, although such features may play a role in localizing subsequent shear
               deformation.
                 The relationship between the in situ state of stress and the orientation of hydraulically
               conductivefracturesisfrequentlyviewedinthecontextofModeIfractures–extensional
               fractures oriented perpendicular to the least principal stress (Secor 1965;du Rouchet
               1981; Nur and Walder 1990). There are a number of excellent papers on joints and
               Mode I fractures in rock (see the review by Pollard and Aydin 1988) and a number of
               papers on the application of the theory of fracture mechanics to rock (including utilizing
               shear fracture Modes 2 and 3 representations of faults) is presented by Atkinson (1987).
               As illustrated in Figure 5.1a, if the least principal stress is S hmin (as is true in normal
               and strike-slip faulting regimes), Mode I fractures would be expected to form in the
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