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CONTINENTAL RIFTS AND RIFTED MARGINS  181



            After this time the weakest areas are found on both sides   the forces driving extension. The opposing force makes

            of the central rift basin. This model shows how the   it more difficult to continue deforming in the same
            strong dependence of lithospheric strength on temper-  locality, resulting in a delocalization of strain as the
            ature causes strain delocalization and the formation of   deformation migrates into areas that are more easily
            wide rifts composed of multiple rift basins at slow strain   deformable (Buck, 1991).
            rates. The model predicts that continental break-up will   Several processes may either reduce or enhance the

            not occur for sufficiently slow rift velocities.  effects of crustal buoyancy forces during lithospheric
                                                         stretching. Buck (1991) and Hopper & Buck (1996)
                                                         showed that where the crust is initially thin and cool,
            7.6.3 Buoyancy forces and                    and the mantle lithosphere is relatively thick, the overall
                                                         strength (the effective viscosity) of the lithosphere

            lower crustal flow                            remains relatively high under conditions of constant
                                                         strain rate (Fig. 7.24a). In this case, the effects of crustal
            In addition to crustal thinning and the compression of   buoyancy forces are reduced and the thermal effects of
            geotherms (Section 7.6.2), lithospheric stretching results   lithospheric necking are enhanced. Narrow rifts result
            in two types of buoyancy forces that infl uence strain   because the changes in yield strength and thermal buoy-
            localization during rifting. First, lateral variations in   ancy forces that accompany lithospheric stretching
            temperature, and therefore density, between areas   dominate the force balance, causing extensional strains
            inside and outside the rift create a thermal buoyancy force   to remain localized in the region of necking. By con-
            that adds to those promoting horizontal extension (Fig.   trast, where the crust is initially thick and hot, and the
            7.23). This positive reinforcement tends to enhance   mantle lithosphere is relatively thin, the overall strength
            those aspects of lithospheric stretching (Section 7.6.2)   of the lithosphere remains relatively low. In this case,
            that promote the localization of strain. Second, a crustal   crustal buoyancy forces dominate because the amount
            buoyancy force is generated by local (Airy) isostatic   of possible weakening due to lithospheric necking is
            effects as the crust thins and high density material is   relatively small, resulting in strain delocalization and
            brought to shallow levels beneath the rift (Fleitout &   the formation of wide zones of rifting (Fig. 7.24b) as
            Froidevaux, 1982). Because the crust is less dense than   the necking region migrates to areas that require less
            the underlying mantle, crustal thinning lowers surface   force to deform. These models illustrate how crustal
            elevations in the center of the rift (Fig. 7.23). This sub-  thickness and the thermal state of the lithosphere at the
            sidence places the rift into compression, which opposes   start of rifting greatly infl uence the style of extension.



             A             B
                                                                                       Temperature (°C)
                                                                      Pressure    0       1333
                             Rift valley
                               ρ
                CRUST           c            F CB
                                                                  B
                             MANTLE                                       A
                               ρ m                               Depth                      B
                 F             HOT           COLD                                        A
                  TB                        Low pressure
                            High pressure
                                ρ a


            Figure 7.23  Schematic diagram illustrating thermal and crustal buoyancy forces generated during rifting. A and
            B represent vertical profiles outside and inside the rift valley, respectively. Pressure and temperature as a function

            of depth for each profile are shown to the right of sketch (modified from Buck, 1991,by permission of the American



            Geophysical Union. Copyright © 1991 American Geophysical Union). Differences in profiles generate lateral buoyancy
            forces.
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