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319                                     depth,                                         ~        differ-   If  (aT /dz).   flow   :   heat   literature
        Surface                               (k).  The  temperature   with  temperature   (AT)  over  a   at   heat   the   the   in   the   in


        Earth’s                                 in   temperature  (q)  according  to  the  geothermal   (aver-   Conductivity   temperature   gradient   region,   parameters   found

        Across                                  increase   rocks   m7!°c"!)   2.6,   3.3   2.3   28   1.8   2.8   21   3.7   3.4   3.0   3.5   5.0   the   geothermal   the   in   for   commonly

        Flow                                  thin  plate  of  thermal  conductivity   the  change  in   rate   a   of selected   Thermal   (W   taking   the   rocks   above
        Heat                                    top  (T,).  b)  For  constant   Earth's  surface  at   region.   the   by  measured   for  known   stated   are   units   other



                                              across  a   the   at  knowledge  of  k,T,.and   of  rocks  in   (k)      conductivity   1990).      Rock      Rhyolite   Granite   Andesite   Diorite   Basalt   Gabbro      Shale   Sandstone   Limestone      Amphibolite   Serpentinite   Quartzite      is  flow   drillhole,  yielding   is   (k)   units   (SI)   how  shows   -


                                              a)  Transfer  of  heat   is  hotter  than   from  be  determined   Heat  flows  through   conductivity  thermal   Thermal   10.1   Jessop,   Flow   Heat   heat   that   core  piston   or   conductivity   Standard   10.2




                                              Heat flow.   (T,)   plate   (Az).c)  in  depth   the   and   TABLE   from   ages   Igneous   Sedimentary   Metamorphic   of   illustrates   a   in   thermal   calculated.   be   International   equation.  Table



                                              10.11   bottom  of  the   flow  [q(z)]  can   (dT /6z)   -   Measurement   10.13   Fig.   depths   ent   average   an   can   (q)   flow
                                              FIGURE   at  the   the  heat   small  change   gradient
















                   be   (T)).                                                     at               the   to   2   signifi-   rocks
                   can   conducted   m7’)       10.11b),                          flow             in   from   higher  geother-   with
                   surface   is   surface   (W   (Fig.                            heat             downward   range   be   can


                   its   energy      plate                                        the          (heat  flow)  (thermal  conductivity)   from
                   to   temperature   of  the   downward       z                  10.11c),;        surface   rocks   quartzite)   constant,  regions   10.12b).
                   interior   Heat   lowest   top   °C"!)   surface   as:   depth   (Fig.      surface   heat   the   most   results   is   (Fig.


                   Earth’s   10.11a).   the   a)   the  through   m7?   (W   (°C)   plate   (°C)   the   of  depth   downward)   to  surface   z.   ass   &   N   ‘   depth       Earth's   conduct   from   for   (sandstone.   flow   heat   gradient   flow
                                                                      al
                                                                      =
            SURFACE   from   (Fig.  model   to   (T>)   alte   h   r(   area,   plate   the   of  the   plate   the   of   (m).   from   function   (lay      (positive   the   from   depth   to   =  Wl  q(z)   A730   E\s   with       (8T/dz)   = k      across  outward   to  region   increases   conductivities   quartz   in   geothermal   heat   higher
                                                                           ~~
                                                                             a
                                                                             il
             EARTH’S   conduction   by   plate   temperature   1   unit  flow,  per   conductivity of   surface   the   base   the   plate   temperature   in   a   as   -   oi)   z  depth   temperature   surface   the   Az:   small   lim   az   temperature   q       flows   the   in   temperature  (geothermal  gradient).   thermal   rich   rocks   conductivity,  higher   the   If   have


        Flow       flows   simple   a   highest   at   al   the   of   increase   expressed   at   in   from   very   in   thus:   heat   rocks   of   which   that   for   thermal   10.12a).   conductivity
        Heat   ACROSS   heat   through   with   of  heat   rate   thermal   temperature   temperature   thickness   linear   be   can   flow   heat   change   distance   for   increase   is   that   rate   ability   at   rate   region   shows   10.1   Values   “i   given   (Fig.


        10      Equation   that   Jevel   lo:   =   q   =   k   =   T,   =   T,   =   h   a   is   flow   =   =   AT   =   Az   limit,   the   constant   surface   =   q   =   k   =   Table   °C™!.   higher.   a   For   gradient   thermal
        Chapter   FLOW   Flow   rate   The   envisioned   the   from   according   where:   there   If   heat   the   where:   q(z)   Taking   For   Earth’s   where:   aT/dz   m7!   W   3   cantly   mai   of  higher


        318   HEAT   Heat
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