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262   CHAPTER 9



                     Aleutians      Tonga - Kermadec    of seismic zones should be proportional to the product
                     Kurile         Japan               of convergence rate and age. That this is generally so is
                     New Zealand  x Central America     illustrated by Fig. 9.17, and although there is consider-

                                                        able scatter the data appear to fit the relationship length
                     South America  + Lesser Antiles                  −1
                                                        (km) = rate (mm a ) × age (Ma)/10.
               1400
               1200
              Length of seismic zone (km)  1000         9.6 VARIATIONS IN


                                                        SUBDUCTION ZONE
                800
                                                        CHARACTERISTICS
                600
                400
                       +   x                            The age and convergence rate of the subducting oceanic
                200                                     lithosphere affect not only the thermal structure of the
                                                        downgoing slab, and the length of the seismic zone, but
                                                        a number of other characteristics of subduction zones.
                      2000  4000  6000  8000  10000 12000
                                                        It can be seen from Fig. 9.15 that, although the dip of
                             Rate x age (km)
                                                        the Benioff zone is often approximately 45°, as typically
           Figure 9.17  Relationship between length of Benioff   illustrated, there is a great variation in dips, from 90°
           zone and the product of convergence rate and age.   beneath the Marianas to 10° beneath Peru. It appears
           Approximate uncertainties given by error bars in upper   that the dip is largely determined by a combination of
           left corner (redrawn from Molnar et al., 1979, with   the negative buoyancy of the subducting slab, causing

           permission from Blackwell Publishing).       it to sink, and the forces exerted on it by flow in the
                                                        asthenosphere, induced by the underthrusting litho-
                                                        sphere, which tend to uplift the slab. A higher rate of
             Different solutions for the temperature distribution   underthrusting produces a greater degree of uplift.
           have been derived by various workers, depending on the   Young oceanic lithosphere is relatively thin and hot;
           assumptions made concerning the relative contribu-  consequently it is more buoyant than older oceanic
           tions of the above phenomena. Two models derived by   lithosphere. One would predict, therefore, that young
           Peacock & Wang (1999) and representing relatively cool   subducting lithosphere, underthrusting at a high rate,
           and warm subducting lithosphere are shown in Plate 9.3   will give rise to the shallowest dips, as in the case of
           (between pp. 244 and 245). Although differing in detail,   Peru and Chile. It seems probable that the absolute
           all such models indicate that the downgoing slab main-  motion of the overriding plate is also a contributing
           tains its thermal identity to great depths and that, excep-  factor in determining the dip of the Benioff zone (Cross
           tionally, temperature contrasts up to 1000°C may exist   & Pilger, 1982).
           between the core of the slab and normal mantle at a   Subduction zones with shallow dips have a stronger
           depth of 700 km.                             coupling with the overriding plate (Uyeda & Kanamori,
             As noted in Section 9.4, the length of the Benioff   1979), giving rise to larger magnitude earthquakes in
           zone depends on the depth to which the subducting   region “b” of Fig. 9.8. Shallow dips also restrict the fl ow
           oceanic lithosphere maintains a relatively cold central   of asthenosphere in the mantle wedge above the sub-
           core. Molnar et al. (1979) deduced that the downward   duction zone, in extreme cases suppressing all supra

           deflection of isotherms, and hence the length of the   subduction zone magmatism (Section 10.2.2), and in all
           seismic zone, is proportional to both the rate of subduc-  cases giving rise to backarc compression rather than
           tion and the square of the thickness of the lithosphere.   extension. Thus, Uyeda & Kanamori (1979) recognized
           Lithosphere thickness is proportional to the square root   two end-member types of subduction zone, which they
           of its age (Turcotte & Schubert, 2002) so that the length   referred to as Chilean and Mariana types (Fig. 9.18).
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