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9.  Overburden Rock, Temperature, and Heat Flow   177











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            Figure 9.1 0 .  Effect o f  vertical groundwater movement on conductive heat flow.




            must also increase. Heat flow is still depressed compared   the bottom of the layer, and
            to the initial state of no sedimentation, but the magnitude
            of the depression is smaller.                                    s = k lpwCwv               (11)

            Groundwater Flow                                 where  k  is  the  bulk  thermal  conductivity  of the
                                                             fluid-rock aggregate, Pw and Cw are the density and heat
              Groundwater flow has the potential to be an effective   capacity,  respectively, of the  fluid  moving  with  Darcy
            agent  for redistributing  heat  in sedientary basins. The   velocity v,  and v  is  negative  for  downward flow.
            heat capacity of water (-4200 J/kg K) is  more  than  four   Assuming typical values of k  =  2.5 W /m K, Pw =  1000
            times  as high as  the  average  matrix  component  of sedi­  kg/ m3, and Cw  =  4200 J /kg K,  the  reduction of surface
            mentary  rocks  ( -1000 J /kg  K).  Significant  perturbations   heat flow (and geothermal gradient) can be calculated as
            to the background thermal regime can be obtained in the   a function of groundwater velocity and depth of circula­
            presence  of Darcy  velocities  as low as a millimeter per   tion (Figure 9.10). For  downward  percolation through
            year,  depending upon the depth of circulation (see  later   1000 m at a Darcy velocity of 1  cm/yr, the conductive
            discussion).                                     surface  heat flow  (and  geothermal  gradient)  is reduced
              Vertical fluid movement is usually required to perturb   by  41 %  (0.59  on  Figure 9.10). If  the  extent of fluid
            the thermal regime. Little or no heat is transported by the   movement reaches a depth of 5 krn, then the conductive
            horizontal movement of groundwater because isotherms   heat flow at the surface is reduced by 23%  (0.77)  even if
            are almost always  parallel to  the  ground  surface.  The   the Darcy velocity is only 1 mm/yr. As a consequence of
            extent to which heat flow (or the geothermal gradient) is   the  relatively low fluid velocities  needed  to  appreciably
           enhanced  or  reduced  by  upward  or  downward   perturb the thermal regime, hydrologic  disturbances  are
            movement of groundwater depends on the Darcy (volu­  possible even in basins composed primarily of aquitards
           metric)  velocity and  depth of fluid  circulation. Lachen­  (permeability  of  -l0-14-l0-17 m2).  High-permeability
           bruch and  Sass  (1977) have  shown that under  steady­  (> l0-14 m2)  aquifers  and conspicuous signs of under­
           state conditions,                                 ground flow  (e.g.,  artesian wells) are not a prerequisite.
                                                             In  areas of high  relief  and  rugged  topography,  the
                                                      (10)   presence  of groundwater flow is  nearly  ubiquitous,
                                                             making it  difficult to obtain accurate  estimates  of back­
           where q(z ) is the conductive heat flow at the top of a   ground thermal conditions in these locations.
                    1
           layer of thickness Az, q(z2) is the conductive heat flow at   Groundwater moves  (1) in response to  potential
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