beautypg.com

2 the user-derived calibration equation, The user-derived calibration equation – Campbell Scientific CS616 and CS625 Water Content Reflectometers User Manual

Page 39

background image

CS616 and CS625 Water Content Reflectometers

Some clays are very polar and/or conductive and will also attenuate the applied

signal. Additionally, if the clayey soil is compacted, increased bulk density,

the conductivity is increased and the response is affected.

Given the water content reflectometer response to changing water content in

attenuating media changes as described above, the accuracy of the volumetric

water content measurement can be optimized by characterizing the probe

response in the specific medium to be measured. The result is a specific

calibration equation for a particular medium.

The precision and the resolution of the water content reflectometer

measurement are not affected by attenuating media. Both precision and

resolution are better than 0.1% volumetric water content.

8.2 The User-Derived Calibration Equation

The probe output response to changing water content is well described by a

quadratic equation, and, in many applications, a linear calibration gives

required accuracy.

Quadratic form:

( )

θ τ

τ

τ

v

C

C

C

=

+

+

0

1

2

2

*

*

with

θ

v

, the volumetric water content (m

3

m

-3

);

τ

,

the CS616/CS625 period

(microseconds); and C

n

, the calibration coefficient. The standard calibration

coefficients are derived from factory laboratory measurements using curve

fitting of known volumetric water content to probe output period.

Linear form:

( )

θ τ

τ

v

C

C

=

+

0

1

*

with

θ

v

, the volumetric water content (m

3

m

-3

);

τ

,

the water content

reflectometer period (microseconds); C

o

, the intercept; and C

1

, the slope.

Two data points from careful measurements can be enough to derive a linear

calibration. A minimum of 3 data points is needed for a quadratic. With 3

evenly spaced water contents covering the expected range, the middle water

content data point will indicate whether a linear or quadratic calibration

equation is needed.

Note from FIGURE 7-1 and FIGURE 7-2 that the calibration function

describing the CS616/CS625 response to changing water content is always

concave up. If calibration data suggests a different shape, there may be a

problem with the data or method.

33