Page 24 - Reservoir Geomechanics
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9      The tectonic stress field




                                     S v               Normal              B



                                                 S hmin           T       P
                 S Hmax


                                                  S v  > S Hmax  > S hmin



                                     S v
                                                      Strike-slip



                                                                   P          B
                                                  S Hmax
                  S hmin

                                                                           T
                                                  S Hmax  > S v  > S hmin



                                                       Reverse
                                     S v
                                                                          B


                                                                  P      T
                                                  S Hmax
                  S hmin

                                                  S Hmax  > S hmin  > S v


               Figure 1.2. E. M. Anderson’s classification scheme for relative stress magnitudes in normal,
               strike-slip and reverse faulting regions. Earthquake focal mechanisms, the beach balls on the right,
               are explained in Chapter 5.


               where ρ(z)is the density as a function of depth, g is gravitational acceleration and ρ is
               the mean overburden density (Jaeger and Cook 1971). In offshore areas, we correct for
               water depth
                            z

               S v = ρ w gz +  ρ(z)gdz ≈ ρ w gz + ρg(z − z w )                    (1.6)
                       w
                                           w
                           z w
                                                                             3
               where ρ w is the density of water and z w is the water depth. As ρ w ∼ 1 g/cm (1.0 SG),
               waterpressure(hydrostaticpressure)increasesatarateof10MPa/km(0.44psi/ft).Most
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