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Improving thermal response tests with wireline temperature logs to evaluate ground thermal conductivity profiles and groundwater fluxes

  • Claude Hugo Koubikana Pambou
  • Jasmin Raymond
  • Louis Lamarche
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  • 14 Downloads

Abstract

A field method was developed to assess subsurface thermal conductivity profiles and groundwater fluxes from manual temperature logs using a wired probe lowered into a U-pipe during the recovery period of a thermal response test (TRT). Temperature and depth were recorded with a wired temperature and pressure data logger, which triggers a water level rise into a U-pipe. Depth correction methods were introduced and validated using subsurface temperature at equilibrium state measured into U-pipe. Wired temperature logs from recovery period after drilling operation were used to evaluate undisturbed subsurface temperature and during a conventional TRT to assess a thermal conductivity profile with approximately 1 m vertical spatial resolution. TRT analysis was improved by combining the infinite line source equation with the temporal superposition principle and slope method. The results reveal zones of higher apparent thermal conductivity identified as fractured zones in which Darcy’s flux has been quantified using the Peclet number analysis. The average subsurface thermal conductivity inferred with this method was 1.79 W m−1 K−1, similar to 1.75 W m−1 K−1 obtained using conventional TRT analysis. The estimated Darcy’s flux in the fracture zones is 3 × 10−9 to 1 × 10−8 m s−1. This method, based on wired temperature profiling along the borehole, provides a new approach using simple equipment and available analytical solutions to obtain more information from conventional TRT analysis.

Keywords

Heat pump Ground heat exchanger Thermal response test Temperature profile Wired probe Thermal conductivity profile Thermostratigraphic log 

Nomenclature

b

intercept of linear approximation [°C].

c

specific heat capacity [J Kg−3 K−1].

C

volumetric heat capacity [J m−3 K−1].

D

depth [m].

Fo

Fourier’s number [−].

g

gravitational acceleration constant [m s−2].

L

length [m].

m

slope of linear graphic approximation [°C s−1].

P

pressure [kg m−1 s−2].

Pe

Peclet Number [−].

p

fitting parameter [−].

Q

heat injection rate [W].

q

heat injection rate per unit length of borehole [W m−1].

Q’

fluid flow rate [m3 s−1].

r

radius [m].

R

thermal resistance [m K W−1].

T

temperature [°C].

t

time [s].

u

integration variable [−].

V

volume [m3].

z

depth [m].

Greek symbol

α

thermal diffusivity [m2 s−1].

λ

thermal conductivity [W m−1 K−1].

ρ

density [kg m−3].

γ

Euler’s constant [0. 5772].

Δ

increment.

ϑ

Darcy flux [m s−1].

Subscript

adv

advective.

b

borehole.

c

characteristic.

cable

tagline used to lower the probe.

conv

convective.

down

down-water circulation.

i

current time step.

i-1

previous time step.

in

inlet pipe.

0

initial or undisturbed.

off

end of heat injection.

out

outlet pipe.

p-average

fitting parameter to assume asymmetric water temperature evolution in GHE.

pipe

U-tube for water circulation into GHE.

s

subsurface.

up

up-water circulation.

w

water.

*

corrected.

normalized.

Notes

Acknowledgements

This project was carried out with financial support from the Natural Sciences and Engineering Research Council of Canada and in-kind contributions from Forage Géothermique and Énergie-Stat, which are kindly acknowledged. Thanks also go to Jean-Marc Ballard and the students at INRS who helped during the fieldwork.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institut national de la recherche scientifique, Centre Eau Terre EnvrionnementQuébecCanada
  2. 2.École de Technologie Supérieure, Département de génie mécaniqueMontréalCanada

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