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9.  Overburden Rock, T e mperature, and Heat Flow   171


           tion  per  unit volume  per  unit  time.  The  extension of   ture  and  thermal  conductivity.  The  quantity that  is
           equation 4 to two or three dimensions is straightforward.   � s�a�ed is the c nductive heat flow; there is usually an
                                                                           �
           In  most  geologic  settings,  however,  the  variation  of   ImpliCit assumption that advective heat transport by
           temperature  with respect  to  depth (dT I ()z)  is  much   groundwater flow is absent. Because the holes used in
           greater than lateral  variations,  and  a one-dimensional   traditional heat flow studies tend to be relatively shallow
           approximation is justified.                       (-10�00 m), it is necessary to obtain continuous, high­
                                                             precisiOn  temperature  logs to derive  accurate estimates
                                                             of thermal  gradients. However, opportunities  to  log
           SOURCES OF HEAT                                   boreholes in sedimentary basins are  scarce.  Most wells
             Roughly 40%  of  surface heat flow on the  continents   are drilled for the purpose of petroleum exploration and
           comes from a  superficial  layer of radioactively enriched   are either producing or cemented shut. The temperature
           crystalline  rocks about  1 0   km  thick  (Pollack  and   data  usually available  for  analysis  are  bottom-hole
           Chapman,  1977). The  remaining 60%, or reduced  heat   temperatures  (BHTs)  measured  during the geophysical
           flow, comes from a combination of radioactive sources in   logging  of  oil  and  gas  wells.  BHTs  represent direct
           the lower crust and upper mantle, as well as a convective   measurements of temperature at depths (1--6 km) much
           flux into the base of the thermal lithosphere. The half-life   greater than those normally  associated  with traditional
           of common heat-generating elements (K, U, and Th) is on   heat flow  studies  in  shallow  (100-600  m)  holes.  In this
           the order of  109  yr  or greater;  thus,  the  radioactive   sense,  use of BHTs obviates the need to  infer tempera­
           component of heat flow has not changed  appreciably   tures  at depth  indirectly  from  shallow  measurements
           since the  Precambrian  (assuming no  loss  or gain  of   and avoids the complications due to  near-surface effects
           mass).  In  contrast, heat flow into the base of the lithos­  (terrain corrections)  that plague traditional heat flow
           phere can vary markedly, as shown by the passage of the   studies  (Birch,  1950; Jaeger,  1965;  Lachenbruch,  1968;
           lithosphere over hot spots with  resultant isostatic uplift,   1969; Blackwell et al., 1980; Powell et al., 1988; Lee, 1991).
           enhanced heat flow, and volcanism (Crough, 1979).   Unfortunately, BHTs are noisy. They tend to be lower
             �ow long  do  thermal  transients  in  the  lithosphere   than true formation  temperatures  due  to  the  cooling
           persist? A useful rule of thumb is that the time (t) taken   effect  of  drilling  fluid  circulating at the bottom of
           for  a  thermal disturbance  to propagate a  distance  (y)   boreholes.  Corrections  can be made for drilling  distur­
           through a  material  of  thermal diffusivity  (a)  is (Lachen­  bances,  but  the  information  needed  to  make accurate
           bruch and Sass, 1977)                             correcons  is usually not available  (Deming,  1989).  It  is
                                                             therefore necessary to take the presence of noise into
                           t = y2/4a                  (5)    account when working with BHTs. The process of recon­
                                                             structing basin  temperature from analysis of BHT data
           For the lithosphere, a is approximately 32 km2/m.y., and   can be generalized into three steps. First, raw  data are
           for an average lithospheric thickness of 100 km, transient   extracted from well log headers  and  screened.  Inconsis­
           thermal events typically have lifetimes on the order of   tent  or  implausible data  are  excluded  at  this  stage.
           50-100  m.y.  Thus,  the lithosphere has a  relatively  high   Second, raw BHTs are corrected for drilling disturbances.
           thermal inertia; background thermal states tend to persist   A  number  of correction schemes  are  available  (e.g.,
           for periods of time that are comparable to the lifetime of   Bullard,  1947;  Lachenbruch and  Brewer,  1959;  Luheshi,
                                                                 :
           a  petroleum system.  In our studies of temperature­  1983 Shen and  Beck,  1 9 86); t�ese  are  reviewed  by
           dependent source rock maturation, it is therefore usually   Dermng (1989),  who  offers practical recommendations.
           relevant to determine the present-day thermal state as a   Rarely,  however,  does  sufficient information  exist  to
           starting point for extrapolation back to the likely thermal   allow accurate corrections to be made; the best that can
           state at the time oil and/ or gas were formed.    usually  be hoped  for  is to  reduce  the systematic bias
                                                             introduced by the drilling disturbance.  A  third stage of
                                                             interpretation is essential. In the third stage, the corrected
           ESTIMATING TEMPERATURE AND                        data are averaged  through some interpretive model that
           HEAT FLOW IN SEDIMENTARY BASINS                   reduces  the  random  error in  individual  measurements.
                                                             By necessity, when the data  are  averaged, resolution
           T e mperature                                     suffers, although noise is reduced.
                                                               Some aspects  of  interpreting  BHT  data can be illus­
             Traditionally,  geothermal  studies  have  been   trated through the following examples. Figure 9.4 shows
           concerned with estimating heat flow, although tempera­  BHTs collected from a small area a few kilometers square
           ture  is the actual  quantity of  interest. The utility of heat   near the Iberia salt dome in south Louisiana. These data
           flow studies lies in the ability to infer thermal conditions   were  collected  from  original well log headers and
           at great depth from measurements in shallow boreholes.   corrected for drilling  disturbances using the AAPG
           Measuring the geothermal gradient alone is not nearly as   depth-based correction  (Kehle,  1971, 1972; Deming,
           revealing because the geothermal  gradient  may change   1 9 89).  Following correction, an  average geothermal
           markedly with depth due to changes in thermal conduc­  gradient of 21.6°C/km was  derived  by a  least-squares
           tivity.                                           regression. The implicit supposition is that the regression
             Heat  flow is  never  measured  but  instead estimated   line (Figure 9.4) is a more accurate description of temper­
           from equation 2 by  making  measurements  of tempera-  ature than the corrected BHTs from which it was derived
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