9
Time Domain Reflectometry
Time Domain Reflectometry (TDR) is a very practical
technique for measuring the
in situ moisture content of unbound materials and subgrade soils. TDR technique
applies electromagnetic technology to measure the relative dielectric constant or relative
permittivity of a medium. In a multi-phase medium, the overall dielectric number
𝜀
𝑚
is
highly dependent on the dielectric numbers of the constituents. The volume fraction of
the constituents is governing the overall dielectric number. In unbound granular
material and subgrade soils the multi phases mainly consist of solid constituents, water
and air. The relative dielectric number of soil constituents and air is much smaller than
that of water
8
2
soil
,
1
air
and
88
77
water
. Therefore, the volumetric moisture
content of the soil can be determined by measuring its overall dielectric number (Topp
and Davis, 1985; Erlingsson et al., 2009a; Fredlund et al., 2012).
In
the TDR technique, a very short electric pulse is sent through a waveguide which
consists of 2 or 3 metallic rods. The impedance discontinuity
at the end of the
waveguide results in backward reflection of the electric pulse which is then detected by
a receiver. By measuring the travel time of the electric pulse and knowing the length of
the waveguide, the propagation velocity of the electromagnetic wave can be measured.
The dielectric constant of the soil medium is thereafter determined as follows:
2
0
)
2
(
l
t
c
m
[1]
where
𝜀
𝑚
is the dielectric constant,
0
is the light velocity in vacuum and
t
is the travel
time of the electromagnetic pulse and
l
is the length of the metallic rods. TDR probe
readings are usually reported as the volumetric moisture content through an empirical
regression which is derived from analyses based on a variety of soil types (Topp et al.,
1980; Hu et al., 2010). However, the moisture content can also be reported as the
gravietric mositure content or degree of saturation using volume-mass relations.
Figure 5 shows installation of TDR probes in a thin flexible test road section in Iceland
(Erlingsson et al., 2002).
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