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326   CHAPTER 10



                  to the bottom of the model. Unlike many      rigid back-stop at the northern end of the
                  other models, this experiment also           model. To obtain the observed east–west
                  incorporates lateral variations in rheology   extension and the high elevations of Tibet,
                  using three crustal blocks, including a stiff   the Tibetan crust must be very weak. The
                  Indian plate, a weak Tibetan Plateau, and an   model suggests that the force balance evolves
                  intermediate-strength Asian continent north   through time as the crust deforms and
                  of the plateau. In addition, six layers of   thickens. When the plateau is 50% lower
                  material with different effective viscosities   than its present elevation of nearly 5 km,
                  represent vertical variations in the rheology   strike-slip and reverse faulting dominate the
                  of these blocks (Fig. 10.26b).               plateau region. Significant crustal extension

                Within this framework, Liu & Yang (2003)       occurs when the plateau reaches 75% of its
                  considered that combinations of the          present elevation. The model also suggests

                  following forces contribute to the present   that although far field extensional forces may
                  state of stresses in the Himalaya and Tibetan   enhance the collapse of the plateau they are
                  Plateau: (i) a horizontal compressive force   not required. Basal shear also enhances the
                  resulting from the collision of India with   extensional regime in the Himalaya and
                  Asia; (ii) buoyancy forces resulting from    southern Tibet while increasing shortening
                  isostatically compensated topography; (iii)   in northern Tibet. This latter effect results
                  basal shear on the Eurasia plate as India    because basal shear relieves the compressive
                  slides beneath Tibet; and (iv) horizontal    (indentation) stresses that balance the
                  forces originating from the pull of          buoyancy forces driving extension at the
                  subduction zones located south and east of   southern edge of Tibet. This leads to a

                  Asia. The stress field is constrained by GPS   decrease in compressive stress in the upper
                  data, earthquake focal mechanisms,           crust, which enhances extension. North of
                  topography, and other observations. Figure   the Indus–Zangbo suture, the basal shear
                  10.26c and d show the predicted stresses in   adds to the horizontal compression, resulting
                  the upper crust (at 10 km depth) using the   in increased shortening.
                  velocity boundary conditions based on

                  geodetic data: a uniform convergence rate of   4  Lower crustal flow and ductile extrusion. The
                        −1
                  44 mm a  toward N20°E at the Himalayan     simple numerical and analogue experiments
                               −1
                  front (V 1 ), 7 mm a  to the east on the east   of indentation described above illustrate the
                                  −1
                  side (V 2 ), and 10 mm a  to the southeast on   sensitivity of deformation in collisional belts to
                  the southeast side of the model (V 3 ). A   local boundary conditions and variations in
                                −1
                  velocity of 20 mm a  to the north (V N )   lithospheric rheology. A particularly interesting
                  occurs at the western side of the model and   group of numerical experiments has explored
                  decreases to zero on the eastern side. Higher   the effects of weak, fl owing middle and lower
                  convergent rates lead to enhanced          crust on the dynamics of continental collision.
                  mechanical coupling between the Eurasian   This condition of weak crust is in good
                  and Indian plates, although this effect can be   agreement with geologic and geophysical
                  offset by a Main Boundary Thrust Zone that   observations indicating that the middle crust
                  is mechanically weak.                      beneath Tibet is hot, fl uid-rich, and/or partially
                The model results suggest that the surface   molten (Section 10.4.5).

                  velocity field and regime of deformation in      Royden (1996) and Ellis et al. (1998) showed that

                  the orogen (Section 10.4.3) refl ect a        a vertical stratification of the lithosphere into
                  mechanical balance between gravitational     strong and weak layers infl uences the degree
                  buoyancy, the indenting Indian plate, and the   of strain localization during convergence.
                  specific geometry and the boundary            Where the lower crust is relatively strong

                  conditions of the plateau. Crustal thickening   and resists fl ow, the crust tends to couple to
                  and topographic uplift are enhanced by the   the underlying mantle during shortening and
                  presence of the Tarim Basin, which acts as a   results in a relatively narrow zone of
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