where the mass attenuation coef®cient m
m
(cm
2
/g) is related to the linear
coef®cient m
t
(cm
71
) and the density r (g/cm
3
) of the material by m
m
= m
t
/ r
(Section 3.4.4).
Density gauges differ from level gauges, which, in their simplest mode of
operation, are just `on/off' devices. Density gauges can detect differences in
the density of materials as low as 0.1%. To achieve this level of precision it is
necessary to employ a carefully shielded and collimated g ray beam, and to
optimise the selection of the source and, in particular, the energy and intensity
of the emitted g rays.
As indicated above, the g ray energy of the source should be chosen to
ensure that the beam is attenuated in the sample by approximately 50%.
Under these conditions, small changes in density are measured with the
greatest sensitivity, other factors such as counting time being equal.
To predict the thickness leading to a 50% reduction in the intensity of the
beam, Eq. (3.8) (or Eq. (7.1)) is written I
t
= 0.5 I
0
and, on solving the
equation, m
t
6t
50%
& 0.693,
t
50%
& 0.693 / m
t
& 0.693/(m
m
6r
av
), (7.2)
where t
50%
is the range of the g rays in the sample leading to a 50%
attenuation of their intensity.
Approximate values of m
t
and m
m
(in cm
71
and cm
2
/g respectively) for the
energies and materials of interest could be read from the graphs in Figure 3.7.
Also, Table 7.3 lists t
50%
for selected values of E
g
and a range of densities
from that of aluminium to that of lead. When other values are required they
can often be approximated by interpolation to suf®cient accuracy. Alterna-
tively, reference may be made to extensive tables and graphs of attenuation
coef®cients that have been posted on the Internet by the US National
Institute for Science and Technology (NIST). Internet sources of nuclear data
are discussed in Appendix 3.
An application of density gauges is to the monitoring of slurry densities in
pipelines, shown schematically in Figure 7.3(a). Transmission gauges have
also been used to monitor the deposition of scale on the walls of pipes (Figure
7.3(b)), since extensive scaling can signi®cantly limit the capacity of the
pipeline to transport material.
One of the major strengths of nucleonic gauges is that they may be used
remotely and in hostile environments. Reference will be made to two devices
developed by the commercial company ICI Synetix Tracerco for applications
on offshore oil and gas platforms. Both are gamma transmission gauges
which may be mounted by remotely operated vehicles (ROVs). The ®rst,
known as the Gammagrout
TN
, system is designed to provide assurance that
Industrial applications of radioisotopes and radiation190