872 SSSAJ: Volume 71: Number 3 • May–June 2007
Soil Sci. Soc. Am. J. 71:872–880
doi:10.2136/sssaj2006.0327
Received 15 Sept. 2006.
*Corresponding author (jheitman@iastate.edu).
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T
hermal gradients drive soil heat and water transfers. Heat
and water transfers, in turn, create transient temperature,
water content, and thermal conductivity distributions. Heat
and water transfer is a coupled process important for unsatu-
rated, near-surface conditions. Yet our understanding of this
process has been limited by a lack of thorough experimental
testing. To date, laboratory data on temperature distributions
for coupled heat and water transfer have been collected, but
undesired two-dimensional distributions of both temperature
and water often occur, which limits comparison and analysis
(Prunty and Horton, 1994). Laboratory data on θ has most
commonly been obtained through destructive sampling (cf.
Nassar and Horton, 1989), which prevents measurement of
transient conditions and precludes the possibility of applying
more than one set of boundary conditions to a given sample.
These limitations restrict testing and refinement of coupled heat
and water transfer theory. Evaluation of the dominant transfer
theories has been limited primarily to model calibration against
steady-state moisture and temperature distributions. Attempts
at validating the calibrated model or at describing transient
boundary conditions are sorely lacking.
There are a few reports of in situ measurement of θ using
time domain reflectometry (TDR) to study coupled heat and
water transfer (cf. Cahill and Parlange, 1998); however, TDR
does not provide measurement of soil thermal properties or
temperature. Thus, existing measurement approaches can lead
to difficulty in interpretation of experimental results or prevent
measurement of transient temperature, moisture redistribu-
tion, and thermal properties. Recent improvements in tem-
perature control (Zhou et al., 2006) and in situ measurement
of both θ and soil thermal properties (Ren et al., 2005) can
overcome these limitations and provide new opportunities for
investigation of coupled heat and moisture transfer in labora-
tory experiments.
Prunty and Horton (1994) recognized that laboratory experi-
ments aimed at one-dimensional thermal and moisture redistribu-
tion were often affected by ambient temperature conditions. Two-
dimensional distributions of both moisture and temperature result
from the combined effect of imposed temperature conditions and
ambient temperature interference. These two-dimensional condi-
tions may provide linear or even convex (i.e., steepest temperature
gradients near the cool end) temperature distributions between
boundaries, which differ significantly from theoretical description
and modeling efforts (e.g., Bach, 1992). When this interference
is removed, temperature distributions typically become concave,
because one-dimensional moisture redistribution results in non-
An Improved Approach for Measurement of
Coupled Heat and Water Transfer in Soil Cells
J. L. Heitman*
R. Horton
Dep. of Agronomy
Iowa State Univ.
Ames, IA 50011
T. Ren
Dep. of Soil and Water
China Agricultural Univ.
Beijing 100094 China
T. E. Ochsner
USDA-ARS
Univ. of Minnesota
1991 Buford Cir.
St. Paul, MN 55108
Laboratory experiments on coupled heat and water transfer in soil have been limited in their
measurement approaches. Inadequate temperature control creates undesired two-dimen-
sional distributions of both temperature and moisture. Destructive sampling to determine
soil volumetric water content (θ) prevents measurement of transient θ distributions and pro-
vides no direct information on soil thermal properties. The objectives of this work were to:
(i) develop an instrumented closed soil cell that provides one-dimensional conditions and
permits in situ measurement of temperature, θ, and thermal conductivity (λ) under transient
boundary conditions, and (ii) test this cell in a series of experiments using four soil type–ini-
tial θ combinations and 10 transient boundary conditions. Experiments were conducted
using soil-insulated cells instrumented with thermo-time domain reflectometry (T-TDR)
sensors. Temperature distributions measured in the experiments show nonlinearity, which is
consistent with nonuniform thermal properties provided by thermal moisture distribution
but differs from previous studies lacking one-dimensional temperature control. The T-TDR
measurements of θ based on dielectric permittivity, volumetric heat capacity, and change in
volumetric heat capacity agreed well with post-experiment sampling, providing r
2
values of
0.87, 0.93, and 0.95, respectively. Measurements of θ and λ were also consistent with the
shapes of the observed temperature distributions. Techniques implemented in these experi-
ments allowed observation of transient temperature, θ, and λ distributions on the same soil
sample for 10 sequentially imposed boundary conditions, including periods of rapid redistri-
bution. This work demonstrates that, through improved measurement techniques, the study
of heat and water transfer processes can be expanded in ways previously unavailable.
Abbreviations: TDR, time domain reflectometry; T-TDR, thermo-time domain reflectometry.
SOIL PHYSICS
Published online May 16, 2007