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1 probe-to-probe variability error, 2 insertion error, 5 temperature dependence and correction – Campbell Scientific CS650 and CS655 Water Content Reflectometers User Manual

Page 35: Probe-to-probe variability error, Insertion error, Temperature dependence and correction

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CS650 and CS655 Water Content Reflectometers

7.4 Error Sources in Water Content Reflectometer

Measurement

7.4.1 Probe-to-Probe Variability Error

All manufactured CS650s/CS655s are checked in standard media to develop a

probe specific span and offset value for electrical conductivity and dielectric

permittivity measurements. These probe specific values are written to the

probe’s firmware and minimize probe-to-probe variability.

7.4.2 Insertion Error

The method used for probe insertion can affect the accuracy of the

measurement. The probe rods should be kept as close to parallel as possible

when inserted to maintain the design wave guide geometry. The sensitivity of

this measurement is greater in the regions closest to the rod surface than at

distances away from the surface. Probes inserted in a manner that generates air

voids around the rods will indicate lower water content than actual. In some

applications, installation can be improved by using insertion guides or a pilot

tool. Campbell Scientific offers the CS650G insertion tool.

7.5 Temperature Dependence and Correction

The two temperature dependent sources of error in CS650 water content

measurements are the effect of temperature on the operation of the probe

electronics and the effect of temperature on the dielectric permittivity of the

soil.

The effect of temperature on probe electronics is minimal with period average

readings varying by less than 0.5% of the 20 °C reading over the range of 10°

to 30°C and less than 2% of the 20°C reading over the range of -10° to 70°C.

The larger error is caused by the change in dielectric permittivity of soil with

temperature. This is mostly due to the high temperature dependence of the

permittivity of water, which varies from a value of 88 at 0°C to 64 at 70°C.

Since water is the major contributor to bulk dielectric permittivity of soil,

temperature related changes to the permittivity of water will lead to

overestimation of volumetric water content at temperatures below 20°C and

underestimation of volumetric water content at temperatures above 20°C.

The Topp equation does not account for soil temperature. The effect of

temperature on the soil permittivity is related to soil specific properties such as

porosity and the permittivity of the soil solid phase with temperature.

Consequently, a general equation that corrects volumetric water content for

temperature for all soils is not available.

A temperature correction equation that works well in quartz sand is given by:

θ

Corr

= θ - 0.0044*Tθ

3

+ 0.0014*Tθ

2

+ 0.0029*Tθ – 0.0002*T + 2.4*θ

3

1.6*θ

2

+ 0.32*θ – 0.046

where θ

Corr

is the temperature corrected volumetric water content, T is soil

temperature in °C, and θ is the volumetric water content value at soil

temperature T.

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