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190   CHAPTER 7



            Rift axis                                            Mantle                 Crust
                                                                dominated  Transitional  dominated
           (a)                                           (e)  22
                                           Crust
                                                             20
             Depth            ∂z/∂x        700 C             18                      Strong crust
                                                            Rift half-width (km)  14  Intermediate
                                                             16

                                                             12
                                          Mantle                                          crust
                          Rift half-width                    10
                                                             8
                                                             6
                                                                                      Weak crust
           (b)  0                                            4
              5                                      C       2  0  5  10  15  20  25  30  35  40
                                                     M
             10
            Depth (km)  15                              Mantle - dominated  Crustal thickness (km)
             20
             25
                                               T c    6 km       Mantle                  Crust
             30                                            (f)  dominated              dominated
                 30    20   10    0     10   20    30        40
                                                                 ∂T  (x 0)  25  K km  1
           (c)  0                                                ∂z
                                                             35                                Cold
              5
                                                                                     Strong Crust
             10
            Depth (km)  15                           M       30  35  K km  1  Intermediate Crust
                                                     C
             20
             25                                              25
                                               T c    12 km
             30                                              Rift half-width (km)  20  46  K km  1
                 30    20   10    0     10   20    30
           (d)  0                                            15  70  K km  1
              5
             10
            Depth (km)  15                              Crust - dominated  10 5  140  K km  1

             20
             25                            C  T c    27 km                                     Warm
             30                            M                  0
                 30    20   10    0     10   20    30           0  5   10  15  20  25  30  35  40
                         Across axis distance (km)                    Crustal thickness (km)
               0       100     200  2        0       2
                     τ max(MPa)        Log 10 strain rate

           Figure 7.28  (a) Model setup for numerical simulations of lithospheric stretching. The transition from mantle- to crust-
           dominated deformation is illustrated by (b), (c), and (d), which show the deformation grid after 1% total strain for a
           crustal thickness (T c ) of 6, 12 and 27 km, respectively. Grayscale indicates the magnitude of shear stress on left and
           normalized strain-rate on right. C and M mark the base of the crust and top of the mantle, respectively. (e) Effect of
           crustal thickness on predicted rift half-width. (f) Effect of vertical geothermal gradient on predicted rift half-width

           (images provided by M. Behn and modified from Behn et al., 2002, with permission from Elsevier). Each point in (e) and
           (f) represents an experiment. Black, strong; gray, intermediate; and white, weak rheology.
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