Agricultural and Forest Meteorology 200 (2015) 203–208
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Agricultural and Forest Meteorology
j our na l ho me page: www.elsevier.com/locate/agrformet
Short communication
Evaluation of a self-correcting dual probe heat pulse sensor
Minmin Wen
a
, Gang Liu
a,∗
, Baoguo Li
a
, Bing C. Si
b
, Robert Horton
c
a
Department of Soil and Water, College of Resources and Environment, China Agricultural University, Beijing 100193, PR China
b
Department of Soil Science, University of Saskatchewan, Saskatoon, SK, S7N5A8 Canada
c
Department of Agronomy, Iowa State University Ames, IA 50011, USA
a r t i c l e i n f o
Article history:
Received 25 December 2013
Received in revised form
11 September 2014
Accepted 28 September 2014
Keywords:
DPHP
Coplanar deflection
Non-coplanar deflection
Probe spacing
Heat capacity
a b s t r a c t
The dual probe heat pulse method (DPHP) can be used to measure soil thermal properties. However,
in situ probe spacing is prone to change resulting in large errors of measured soil heat capacity c. A newly
designed DPHP sensor has two thermistors in the temperature probe which can be used to calculate
in situ changes in probe spacing. This new sensor has been tested under the limited condition of linear
coplanar probe deflection. i.e., probes were deflected in-line but were not bent in different directions.
However, actual probe deflections may not always be coplanar linear. In this study the applicability of the
new DPHP sensor is evaluated in fine sand and in silica sand for a variety of probe deflections. Probes are
deflected at the bottom end (bottom) or top end (top) of probes. Results indicate that the new sensor can
significantly eliminate errors in c caused by coplanar and non-coplanar probe deflections. Compared with
bottom deflections, top deflections have larger errors in c. Thus, theory used to correct for deflections is
more applicable to bottom deflections than to top deflections. The errors in c for saturated soil materials
are larger than the errors in c for dry soil materials, because of the finite response times of the thermistors
used in the probes. Clearly, the newly designed DPHP sensors have the potential for reducing errors caused
by various kinds of probe deflections that may be encountered in the field.
© 2014 Elsevier B.V. All rights reserved.
1. Introduction
Campbell et al. (1991) introduced a dual probe heat pulse (DPHP)
method for measuring soil thermal properties (Bristow et al., 1994;
Ren et al., 2003), and many others have used heat pulse probes
for laboratory and field measurements (Tarara and Ham, 1997;
Bremer and Ham, 1999; Ochsner et al., 2003). The DPHP method
uses two probes, one as a heater, and the other one as a temper-
ature probe. The probe spacing (≈6 mm) is the distance between
the heating and the temperature probe. In most cases the probe
spacing of DPHP sensors is calibrated (Mori et al., 2003) before a
sensor is used in situ. Usually, calibrations are carried out by using
agar stabilized water. However, there is no guarantee that the probe
spacing will remain constant in situ. The probes are made of stain-
less steel tubing with typical diameter of 1 mm and length between
28 mm and 40 mm (Campbell et al., 1991; Mori et al., 2003; Liu
et al., 2013). Probe deflection can occur during probe insertion into
soil, and natural and human-induced soil shifting can also occur
∗
Corresponding author. Tel.: +86 10 62732217; fax: +86 10 62733596. .
E-mail address: liug@cau.edu.cn (G. Liu).
(Kluitenberg et al., 2010; Liu et al., 2013). Probe spacing of sen-
sors change due to probe deflection. If the effective probe spacing
is not accurately calibrated, there can be large errors in the mea-
sured heat capacity c (Campbell et al., 1991; Kluitenberg et al.,
2010). Liu et al. (2008) showed that if the new probe spacing of
the deflected probes is known, we could estimate c accurately. Liu
et al. (2013) proposed a self-calibrated DPHP sensor for in situ mea-
surement of c. However, the method of Liu et al (2013) received
only limited testing for the condition of coplanar, in-line deflected
but not bent heating probe or the temperature probe. Additional
testing is needed for bent and non-coplanar deflections (deflec-
tions that cause probes to be located in different planes). In this
study, experiments for various probe deflections are performed
to evaluate the ability of the Liu et al. (2013) method to provide
accurate estimates of in situ probe spacing and soil thermal prop-
erties.
1.1. Theory
The prevalent model for the DPHP method assumes that the
heating probe can be approximated by an infinite line source (ILS)
embedded in an infinite soil mass (Campbell et al., 1991). When
http://dx.doi.org/10.1016/j.agrformet.2014.09.022
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