H. Lehmann et al., PARAMETER-IDENTIFICATION AND UNCERTAINTY ANALYSIS FOR HEAT-TRANSFER AT THE KTB DRILL SITE USING A 2-D INVERSE METHOD, Tectonophysics, 291(1-4), 1998, pp. 179-194
The German continental deep-drilling program (KTB) provided a unique o
pportunity for studying heat transfer processes in deep continental cr
ust. We used an inversion technique based on the Bayesian parameter es
timation to constrain parameters involved in crustal heat transfer at
the KTB site and their standard deviations. Measurements in the two de
ep KTB boreholes and on rock material recovered from these holes were
used to compile a set of a priori information for a 2-D cross-section
of 40 km x 30 km. Thermal and hydraulic parameters were determined in
a steady-state inverse finite-element model for a simplified geologica
l structure. The inversion algorithm yielded a posteriori information
for thermal conductivity, permeability, and heat production rate as we
ll as for temperature and hydraulic head. Because of the large tempera
ture range (up to 800 degrees C), we introduced the variation of therm
al conductivity with temperature into the numerical algorithm. While t
hermal conductivity could be well resolved, the distribution of heat p
roduction rate was relatively poorly resolved. The uncertainties for t
he parameters varied depending on the number of free parameters. If he
at production rate was constrained tightly, the resolution of the ther
mal conductivity was improved. A zone of higher heat production rate b
etween 3.8 km and 10 km combined with a reduced thermal conductivity a
bove it provided the best fit to the measured temperatures in the bore
hole. The steady-state inversion yielded a better solution when paleoc
limatic temperature perturbations, such as those caused by the last ic
e age, were removed from the temperature data. (C) 1998 Elsevier Scien
ce B.V. All rights reserved.