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176     Deming




                                                             �                                         k, )  k,
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           G                                                 �E
                            .
           0                                                 ......
           �                 .
           Q)      +'"�                                      3:
           ...                                                                                        k,< k,
           :::l                                              5
           'lii             . .   .                                                             Time
                             '= ·
           Q)              . +                               �
                                                             0
           c.                                                u::::                                  sediment
           E                                                                             .c.
           �                                                 1ii            "            15.
                                                                                         <II
                                                             Q)                          0
           (ij                                               J:          ,  /                 basement
           :::l                                                          I
           c::
           c::                                                           '\  s edimentation ceases
           c(
           c:                                                    0
           <'II                                                   0     20     40
           Q)                                                                         60      80    100
           ::::!
                                                                                Time  1 0 6 yr)
                                                                                     (
              1000               2000               3000     Figure 9.9. Effect of sedimentation on surface heat flow.
                               Elevation (m)
                                                             studies  of oxygen  isotope  ratios  have  shown that the
           Figure 9.8. Mean annual air temperatures (+) from rnetero­  temperature of seawater has systematically decreased by
           logic data (collected by author), and mean annual ground   about  10°-15°C  (Savin,  1984).  If this  decrease  is  inter­
           temperatures {•) estimated from extrapolation of borehole   preted  to  indicate a  global  cooling  with  concomitant
           te mperature logs from the north-central Colorado Plateau.   lower air and ground  temperatures, then it is  probably
           (Made by Bodell and Chapman, 1982.)
                                                             reasonable to take this effect into account when modeling
                                                             the thermal evolution of sedimentary basins. The degree
           Surface T e mperature                             to which shorter term variations in climate (e.g., ice ages)
                                                             have  effected  subsurface  temperature  profiles  can  be
             Although it is often ignored, surface temperature (T0)   estimated by application of equation 5 (Birch, 1948).
           is  an  important boundary condition on  geothermal
           conditions.  The temperature  at the  earth's surface is   Sedimentation
           determined by climate and has diurnal and annual cycles
           that  rapidly attenuate  in  the subsurface.  By  applying   Sedimentation  depresses heat flow,  and the depres­
           equation 5,  it  can be  seen  that the annual  variation of   sion  persists  long  after sedimentation  ceases  (assuming
           temperature propagates no deeper than about 10 m into   no erosion).  The magnitude of depression  depends  on
           the  subsurface.  Thus,  the  quantity  of interest in geot­  the thermal conductivity of the sediments deposited and
           hermal  studies  (T 0)  is  a  long  term  mean,  a  fictional   the rate  and  duration  of sedimentation.  A  one-dimen­
           quantity that is usually estimated by the linear extrapola­  sional numerical model  (Deming  and Chapman,  1989)
           tion of a borehole temperature log to the surface. Obser­  can be  used to estimate the  effect of sedimentation on
           vations have shown that extrapolated borehole tempera­  near-surface heat flow for sediments of different thermal
           tures are closely related to mean annual air temperatures,   conductivities  (Figure  9.9).  The initial background  heat
           but  that ground temperatures  are  always higher by   flow  in  the model is  60  mW /m2,  the  thermal  conduc­
           about 2°-3°C (Figure 9.8). This discrepancy is commonly   tivity of the basement is 2.5 W /m K, and the sedimenta­
           attributed  to  the  insulating  effect  of  snow cover  in   tion  rate  varies  from  10 to  1000  m/m.y.  The thermal
           winter.  However,  the offset between mean  annual   conductivity of the sediments deposited varies  from  1.0
           ground and air temperatures is also found at low latitude   to 4.0 W/m K.
           sites  (e.g., Howard  and  Sass,  1964).  Mean  annual  air   Heat flow is signifcantly depressed by sedimentation
           temperature  on  the  earth's  surface  is  -16°C, varying   rates  on  the order of  100  m/m.y. or greater.  The lower
           from -25°C at the equator, to --22°C at the poles (Gross,   the thermal conductivity of the sediments, the greater the
           1 9 93).  Air  temperatures  also  decrease  with  elevation;   reduction in heat  flow.  Once  sedimentation ceases,  it
           lapse rates typically range from -4 to -10°C/km.   may  take  tens  of  millions  of years  or  more  for  the  heat
             Air and ground temperatures vary not only spatially   flow deficit at the surface to be alleviated. For example, if
           but also have short and long term temporal trends. From   sedimentation proceeds at  1000 m/m.y. for 20 m.y. and
           about  1400  to  1900,  air  temperatures  were about o.soc   then stops, it takes 40 m.y. for the heat flow deficit to be
           colder than present day (the  "little ice age"). Before that,   reduced to half of its maximum value (Figure 9.9).
           from  about  1 0 00  to  1400  A.D., there  was  a  Medieval   Some interesting and unexpected  conclusions can be
           warm period when air temperatures were about  0.5°C   drawn from this example. Because the depression of heat
           higher than present day  .   Over the past 1  m.y., tempera­  flow by  sedimentation tends  to  persist long  after sedi­
                              .
           tures  have fluctuated about 5-6°C  as  the glaciers   mentation ceases, underburden rock  deposited before a
           retreated  and  advanced in a series  of ice ages.  The  last   source  rock  may  affect  the  eventual  maturation  of
           such ice age ended about 10,000 yr ago as temperatures   organic  material  in the source  rock.  Also, if sedimenta­
           rose 5--6°C, coincident with the emergence of civilization   tion proceeds at a constant rate, but the thermal conduc­
           (Folland et al., 1990). Since Late Cretaceous time (70 Ma),   tivity of the sediments  deposited  increases,  heat  flow
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