Soil Science Society of America Journal
Soil Sci. Soc. Am. J.
doi:10.2136/sssaj2014.05.0218
Received 30 May 2014.
*Corresponding author (tsren@cau.edu.cn)..
© Soil Science Society of America, 5585 Guilford Rd., Madison WI 53711 USA
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An Empirical Model for Estimating
Soil Thermal Conductivity from Texture,
Water Content, and Bulk Density
Soil Physics
Soil thermal conductivity (l) models are needed frequently in studying
coupled heat and water transfer in soils. Several models are available, but
some are complicated and some produce relatively large errors. In this
study, we developed a simple model for estimating l from soil texture,
bulk density (r
b
), and water content (q). Three parameters, a, b, and l
dry
,
are included in the model, where l
dry
is determined by r
b
and a and b are
shape factors estimated from soil texture and r
b
. Empirical relations were
developed for a and b by itting the model to heat-pulse (HP) measure-
ments of l(q) on seven soils of various textures. The model performance
was evaluated with independent l(q) data from independent HP mea-
surements and literature values. The results show that the model is able
to express the l(q) curves from oven dry to saturation at ixed r
b
values.
When r
b
is varied, the estimated l data agree well with measured values.
The root mean square errors are <0.15 W m
−1
K
−1
, and the bias is within
0.10 W m
−1
K
−1
. The new model has the potential for use in studying heat
movement in soils of varying texture, bulk density, and water content and
can be incorporated into numerical algorithms for describing coupled heat
and mass transfer processes.
Abbreviations: HP, heat pulse; PSD, particle size distribution; RMSE, root mean square error.
S
oil thermal conductivity (l), a measure of the ability of a soil to conduct
heat, is needed frequently in soil science (Horton and Ochsner, 2011).
he magnitude of l depends largely on soil texture, mineral composition,
water content (q), and bulk density (r
b
) (de Vries, 1963; Campbell, 1985). At
similar q and r
b
values, a sandy soil usually has a higher l value than a clay soil. A
soil with higher quartz content (f
q
) usually has greater l because quartz has a l
value two times that of most other soil minerals (Campbell, 1985). Larger r
b
, or
smaller porosity, leads to greater l, as more solid matter per unit volume results
in better contacts between soil particles (Farouki, 1986). he arrangement of
soil particles and soil microstructure also inluences l signiicantly (Kohout et
al., 2004; Ju et al., 2011).
Under ield conditions, soil l is strongly afected by q, which changes dy-
namically with time and depth. Several semi-theoretical and empirical models
have been developed to estimate l from q or the degree of saturation (S
r
). De
Vries (1963) presented a physically based model that treated soil as a mixture
of ellipsoidal particles in the continuous media of air and water. his model has
been used widely for modeling soil l with considerable accuracy (Wierenga et
al., 1969; Campbell et al., 1994). Farouki (1986) indicated that the major er-
Yili Lu
Dep. of Soil and Water Sciences
China Agricultural Univ.
Beijing 100193
China
Sen Lu
Research Institute of Forestry
Chinese Academy of Forestry
Beijing 100091
China
Robert Horton
Dep. of Agronomy
Iowa State Univ.
Ames, IA 50011
Tusheng Ren*
Dep. of Soil and Water Sciences
China Agricultural Univ.
Beijing 100193
China
Published September 29, 2014