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42   CHAPTER 2



           the top of the lower mantle or mesosphere (Karato,
           1998). However, this latter interpretation is highly
           controversial and awaits testing by continued investi-

           gation. If such a zone of horizontal flow does exist
           then convection in the mantle probably occurs in
           layers and does not involve the whole mantle (Section
           12.5.3).


           2.11 ISOSTASY



           2.11.1 Introduction                           Figure 2.27  Horizontal gravitational attraction of
                                                        the mass of the Andes above sea level would cause the

                                                        deflection (c) of a plumb bob from the vertical (a).
           The phenomenon of isostasy concerns the response   The observed deflection (b) is smaller, indicating the

           of the outer shell of the Earth to the imposition and   presence of a compensating mass deficiency beneath

           removal of large loads. This layer, although relatively   the Andes (angles of deflection and mass distribution

           strong, is unable to support the large stresses gener-  are schematic only).
           ated by, for example, the positive weight of a moun-
           tain range or the relative lack of weight of an ocean
           basin. For such features to exist on the Earth’s surface,
           some form of compensating mechanism is required
           to avoid the large stresses that would otherwise be
           generated.
             Isostasy was first recognized in the 18th century

           when a party of French geodesists were measuring the
           length of a degree of latitude in Ecuador in an attempt
           to determine if the shape of the Earth corresponds to
           an oblate or a prolate ellipsoid. Plumb lines were used
           as a vertical reference in the surveying and it was rec-
           ognized that a correction would have to be applied for
           the horizontal deflection caused by the gravitational

           attraction of the Andes. When this correction, based on
           the mass of the Andes above sea level, was applied,
           however, it was found that the actual vertical defl ection
           was less than predicted (Fig. 2.27). This phenomenon
           was attributed to the existence of a negative mass
           anomaly beneath the Andes that compensates, that is   Figure 2.28  Inverse correlation of Bouguer anomalies
           to say, supports, the positive mass of the mountains. In   with topography indicating its isostatic compensation.
           the 19th century similar observations were made in the
           vicinity of the Himalaya and it was recognized that the
           compensation of surface loading at depth is a wide-  continents and negative topography of oceans is com-
           spread phenomenon.                           pensated by regions at depth with density contrasts
             The presence of subsurface compensation is con-  which are, respectively, negative and positive and whose
           firmed by the variation in the Earth’s gravitational fi eld   mass anomaly approximates that of the surface

           over broad regions. Bouguer anomalies (Kearey et al.,   features.
           2002) are generally negative over elevated continental   The principle of isostasy is that beneath a certain
           areas and positive over ocean basins (Fig. 2.28). These   depth, known as the depth of compensation, the pres-

           observations confirm that the positive topography of   sures generated by all overlying materials are every-
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