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depth,
        319
                                              (k).  The  temperature
                                                 (AT)  over  a
                                                   (q)  according  to  the  geothermal
                                                with
        Surface
                                                temperature
                                                 temperature
                                                                Conductivity





        Earth’s
                                                           (aver-
                                              thin  plate  of  thermal  conductivity
                                                                  m7!°c"!)
                                                in
                                                increase
                                                           rocks
        Across
                                                                      2.6,
                                                 the  change  in
                                                                                2.8
                                                                                       3.4
                                                                            28
                                                                              1.8
                                                                                   21
                                                                                     3.7
                                                                        3.3
                                                                          2.3
                                                                Thermal
                                                           of selected
                                                top  (T,).  b)  For  constant
        Flow
                                                                  (W
                                                   rate
                                                     region.
                                                   a
        Heat
                                                 knowledge  of  k,T,.and
                                                   Earth's  surface  at
                                                     the
                                                           conductivity
                                                     of  rocks  in
                                                                                     Sandstone
                                                                                       Limestone
                                              across  a
                                                                  Rock
                                                                          Andesite
                                                                      Rhyolite
                                                                                Gabbro
                                                                        Granite
                                                                            Diorite
                                                                              Basalt
                                                the
                                                     (k)
                                                   flows  through
                                                                                   Shale
                                                             1990).
                                                           Thermal
                                                at
                                                     conductivity
                                              a)  Transfer  of  heat
                                                is  hotter  than
                                                 from
                                                             Jessop,
                                                 be  determined
                                                   Heat
                                                                                   Sedimentary
                                                     thermal
                                                           10.1
                                                             from
                                                (T,)
                                                   (Az).c)
                                                                      Igneous
                                              Heat flow.
                                                           TABLE
                                                plate
                                                     the
                                                             ages
                                                 flow  [q(z)]  can
                                                   in  depth
                                                     and
                                                bottom  of  the
                                                     (dT /6z)
                                              10.11
                                                   small  change
                                                                                     -
                                                     gradient
                                                 the  heat
                                              FIGURE
                                                at  the
                                                                                                                          3.0  Amphibolite  Metamorphic   3.5  Serpentinite   ~   5.0  Quartzite      Flow   Heat   of  Measurement   is  flow   heat   that  illustrates   10.13   Fig.   differ-   at  temperature   the  taking   by  measured   core  piston   a   in  depths   ent   If  (aT /dz).  gradient  geothermal   the  drillhole,  yielding   or   average   an   flow   heat   the  regio
                   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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