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CONTINENTAL RIFTS AND RIFTED MARGINS  179




            7.6.2 Lithospheric stretching                of the initial and final thickness of the crust (McKenzie,
                                                         1978).
                                                            The thermal and mechanical effects of lithospheric
            During horizontal extension, lithospheric stretching   stretching at different strain rates are illustrated in Fig.
            results in a vertical thinning of the crust and an increase   7.22, which shows the results of two numerical experi-
            in the geothermal gradient within the zone of thinning   ments conducted by van Wijk & Cloetingh (2002). In
            (McKenzie, 1978). These two changes in the physical   these models, the lithosphere is divided into an upper
            properties of the extending zone affect lithospheric   crust, a lower crust, and a mantle lithosphere that have
            strength in contrasting ways. Crustal thinning or necking   been assigned different rheological properties (Fig.
            tends to strengthen the lithosphere because weak crustal   7.22a). Figures 7.22b–d show the thermal evolution
            material is replaced by strong mantle lithosphere as the   of the lithosphere for uniform extension at a rate of
                                                               −1
            latter moves upward in order to conserve mass. The   16 mm a . At this relatively fast rate, heating by thermal
            upward movement of the mantle also may result in   advection outpaces thermal diffusion, resulting in
            increased heat fl ow within the rift. This process, called   increased temperatures below the rift and strain local-

            heat advection, results in higher heat flow in the rift   ization in the zone of thinning. As the crust thins,
            because the geotherms become compressed rather than   narrow rift basins form and deepen. Changes in stretch-
            through any addition of heat. The compressed geo-  ing factors for the crust (β) and mantle (δ) are shown in
            therms tend to result in a net weakening of the litho-  Fig. 7.22e,f. The total strength of the lithosphere (Fig.
            sphere, whose integrated strength is highly sensitive to   7.22g), obtained by integrating the stress field over the

            temperature (Section 2.10). However, the weakening   thickness of the lithosphere, gradually decreases with
            effect of advection is opposed by the diffusion of heat   time due to stretching and the strong temperature
            away from the zone of thinning as hot material comes   dependence of the chosen rheologies. Eventually, at
            into contact with cooler material. If the rate of heat   very large strains, the thermal anomaly associated with
            advection is faster than the rate of thermal diffusion and   rifting is expected to dissipate. These and many other
            cooling then isotherms at the base of the crust are   models of rift evolution that are based on the principles
            compressed, the geotherm beneath the rift valley   of lithospheric stretching approximate the subsidence
            increases, and the integrated strength of the lithosphere   patterns measured in some rifts and at some rifted con-
            decreases. If thermal diffusion is faster, isotherms   tinental margins (van Wijk & Cloetingh, 2002; Kusznir
            and crustal temperatures move toward their pre-rift   et al., 2004) (Section 7.7.3).

            configuration and lithospheric weakening is inhibited.  The experiment shown in Fig. 7.22h–j shows the
               England (1983) and Kusznir & Park (1987) showed   evolution of rift parameters during lithospheric stretch-
                                                                                        −1
            that the integrated strength of the lithosphere in rifts,   ing at the relatively slow rate of 6 mm a . During the
            and competition between cooling and heat advection   first 30 Ma, deformation localizes in the center of the


            mechanisms, is strongly influenced by the rate of exten-  rift where the lithosphere is initially weakened as iso-
                              −13 −1
                                      −14 −1
            sion. Fast strain rates (10  s or 10  s ) result in larger   therms and mantle material move upward. However, in
            increases in geothermal gradients than slow rates   contrast with the model shown in Fig. 7.22b–d, tem-
               −16 −1
            (10  s ) for the same amount of stretching. This effect   peratures begin to decrease with time due to the effi -
            suggests that high strain rates tend to localize strain   ciency of conductive cooling at slow strain rates. Mantle
            because inefficient cooling keeps the thinning zone   upwelling in the zone of initial thinning ceases and the

            weak, allowing deformation to focus into a narrow   lithosphere cools as temperatures on both sides of the
            zone. By contrast, low strain rates tend to delocalize   central rift increase. At the same time, the locus of thin-
            strain because efficient cooling strengthens the litho-  ning shifts to both sides of the first rift basin, which does


            sphere and causes the deformation to migrate away   not thin further as stretching continues. The mantle
            from the center of the rift into areas that are more easily   thinning factor (Fig. 7.22l) illustrates this behavior.

            deformable. The amount of net lithospheric weakening   During the first 45 Ma, upwelling mantle causes δ to be
            or strengthening that results from any given amount of   larger in the central rift than its surroundings. After this
            stretching also depends on the initial strength of the   time, δ decreases in the central rift as new upwelling
            lithosphere and on the total amount of extension. The   zones develop on its sides. The total strength of the
            total amount of thinning during extension usually is   lithosphere (Fig. 7.22m) for this low strain rate model
            described by the stretching factor (β), which is the ratio   shows that the central rift is weakest until about 55 Ma.
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