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168    Deming

           density (-3300 kg/m3) mantle material moves below the
          depth  of compensation.  Simultaneously,  relatively  low
          density air, water, or sediment fills the void created at the
          top of the column. This process is termed isostatic compen­
          sation, and it continues until equilibrium is restored.
             Isostatic subsidence may  be  inhibited  by  the  bending
           rigidity of the lithosphere. Flexural rigidity is determined
          by  temperature  and  composition;  the  lithosphere  tends
           to be weaker in areas of higher heat flow, and the quartz­
           rich  crust  tends  to  be  weaker  than  the  olivine-rich
           mantle.  The  degree  to  which the rigidity of the lithos­
           phere  can  successfully  resist  isostatic  subsidence  also
          depends on the width of the load. For typical continental
           lithosphere,  the  critical  value  is about  80 km (Turcotte,
           1980). Sedimentary basins  with lateral dimensions much
           larger  than  this  number  subside  isostatically;  the  subsi­
                                                                                                    �
                                                                                                --
                                                                                        �
           dence of smaller basins is resisted by the flexural strength   o  �  �  --  -7  �  --  �  --  �  60   -- �  80   --  100  �
           of  the  lithosphere.  If the  lithosphere  is  loaded  by  hori­
                                                                                         6
           zontal mass transport (e.g., a migrating fold-thrust belt),            Time (10 yr)
           the  tendency  of  the  lithosphere  to  flex  elastically  in
           response  to  the  imposed  load  can  itself  lead  to  the   Figure 9.3. Surface heat flow as function of time and
           formation  of a  sediment-filled  depression,  a  foreland   stretching factor �- (After McKenzie,  9 78.)
                                                                                        1
          basin (Beaumont, 1981).
                                                            margin  basin  is  well  understood  in  the framework of
                                                            plate  tectonic  theory.  An initial  thermal event leads to
           TYPES OF SEDIMENTARY BASINS
                                                            cooling,  thermal  contraction,  and  tectonic  subsidence.
           Rift and Passive Margin Basins                   The  tectonic  subsidence  is then  increased  by loading
                                                            from erosional products washed  off adjacent continents.
             The largest set of sedimentary basins on earth are the   In its  final  stage,  an oceanic  basin  is destroyed  through
           oceanic basins, covering approximately two-thirds of the   subduction  or  continental  collision.  The  entire  process
           earth's surface area. The formation of these basins is well   from formation to eventual destruction typically takes a
           understood  in the  context of  plate  tectonic  theory.  New   few hundred million years.
           oceanic  crust  is  formed  by  the  upwelling  of mantle   The  success  of  the  plate  tectonic  model  in explaining
           material  at  mid-oceanic  spreading  ridges  where  the   the  thermal  and  structural  evolution  of  ocean  basins
           effective lithospheric thickness is essentially zero.  As the   suggests that similar mechanisms may be involved in the
           newly  formed  lithosphere  moves  away  from  the  ridge   formation  of rift basins  on  continents.  McKenzie  (1978)
           through  the  process of seafloor spreading,  it  cools  and   derived  a  simple  and  elegant  model  of  continental
           thickens,  becomes  more  dense,  and  subsides  through  a   extension  as  a  mode  of  rift  basin  formation.  In
           process of isostatic compensation (Figure 9.1).   McKenzie's  model,  the lithosphere  is  instantaneously
             A  relatively  simple  thermal  model  of a  cooling  half­  stretched by a  factor � and  the  thickness  of the lithos­
           space can be used  to derive expressions for surface  heat   phere  decreased  by  a  factor  1 / �- In  the  context  of the
           flow  and  subsidence  of  the  oceanic  lithosphere  as   McKenzie  model,  ocean  basins  are  rift basins  for which
           functions of time.  The  theoretical  model  predicts both   � =  oo  and  continental rift basins are basins in which the
           heat flow and  tectonic  subsidence  to be proportional  to   rifting process  stopped  before  completely  eroding  and
           the  square  root  of  time  elapsed  since  basin  formation.   splitting the lithosphere.
           With few exceptions,  the agreement  of  these theoretical   The formation  of a rift basin is  characterized  by  two
           predictions  with  heat  flow  and  bathymetry  data  is   phases  of subsidence.  During  the  initial  extensional
           extremely  good.  There  is  little  doubt  that  the  thermal   event,  relatively  low  density  crustal  material  (-2800
           model  of  cooling  and  subsidence  is  an  essentially   kg/m3)  is thinned and replaced by higher density mantle
           accurate  description  of reality  (Sclater and Francheteau,   (-3200 kg/m3) upwelling from below and isostatic subsi­
           1970; Sclater and Parsons,  1981).               dence occurs. The hot mantle material then cools, and its
             At  passive  continental  margins  (e.g., the Atlantic   density increases through thermal contraction, leading to
           margin  of North  America), the ocean basin (basement   a  second  phase of slower tectonic subsidence.  A  time
           rock) is heavily loaded with sedimentary rock (basin fill),   constant for thermal events in the lithosphere of about 50
           leading  to  further  subsidence as the lithosphere isostati­  m.y. governs the rate of cooling and tectonic subsidence.
           cally compensates for the added load. The total sediment   Relatively  simple expressions  for  surface  heat  flow
           thickness in this setting can reach 20 km (Turcotte, 1980).   (Figure  9.3)  and  tectonic  subsidence  as  functions  of
          Thus, the  thermal and  structural  evolution  of oceanic   elapsed  time and  stretching  factor  �  can be derived
           basins  from  the  initial  rift  basin  to  the  final  passive   (McKenzie, 1978).
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