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105    Rock failure in compression, tension and shear



        a.  700                                 b.  600

          600  BEREA SANDSTONE                                      BEREA SANDSTONE
                                                  500
          500
                                                  400
         S 1  (MPa)  400                         S 1  −  S 3  (MPa)  300

          300
                           S  = 62.8 + 2.82 S     200
          200              1           3
                                                  100
          100
                                                     0  50  100  150  200   S  = 500 MPa
                                                                            3
           0                                       0
             0    50    100   150   200    250       0   100  200  300   400  500  600
                          S 3  (MPa)                              P  (MPa)
                                                                   p
        c.  700                                 d.  600

          600  MARIANNA LIMESTONE                                  MARIANNA LIMESTONE
                                                  500
          500
                                                  400
         S 1  (MPa)  400                         S 1  −  S 3  (MPa)  300
          300
                           S  = 40.8 + 3.01 S     200
          200               1          3
                                                  100
          100
                                                     0  50  100  200        S  = 500 MPa
           0                                       0                         3
             0    50    100   150   200    250       0   100  200  300   400  500  600
                          S  (MPa)                                P  (MPa)
                                                                   p
                          3
              Figure 4.11. (a) Dependence of rock strength on confining pressure in the absence of pore pressure
              for Berea sandstone. (b) Dependence of strength on confining pressure and pore pressure assuming
              the simple Terzaghi effective stress law (equation 3.8)isvalid (straight diagonal lines). (c) and
              (d) show similar data for Marianna limestone. Data derived from Handin, Hager et al.(1963).




              Rock strength anisotropy

              The presence of weak bedding planes in shaley rocks (or finely laminated sandstones
              or foliation planes in metamorphic rocks) can sometimes have a marked effect on rock
              strength. In Chapter 10 we will investigate several cases that illustrate the importance of
              slip on weak bedding planes on wellbore stability when wells are drilled at an oblique
              angle to the bedding planes.
                The influence of weak bedding planes on rock strength is referred to as strength
              anisotropy. The importance of this depends both on the relative weakness of the bedding
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