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1 accurate soil temperature measurement, Water content reflectometer user-calibration, 1 need for soil specific calibration equation – Campbell Scientific CS650 and CS655 Water Content Reflectometers User Manual

Page 36: 2 the user-derived calibration equation, Accurate soil temperature measurement, Need for soil specific calibration equation, The user-derived calibration equation

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CS650 and CS655 Water Content Reflectometers

7.5.1 Accurate Soil Temperature Measurement

The thermistor used for measuring soil temperature is located in the probe head

and is in contact with one of the stainless steel rods. In order to make an

accurate soil temperature measurement, the probe head should be buried in the

soil so that it is insulated from diurnal temperature fluctuations.

8. Water Content Reflectometer User-Calibration

8.1 Need for Soil Specific Calibration Equation

While the Topp equation has been determined to work well in a wide range of

mineral soils, there are soils for which a user-derived calibration will optimize

accuracy of the volumetric water content measurement. The Topp equation

underestimates the water content of some organic, volcanic, and fine textured

soils. Additionally, porous media with porosity greater than 0.5 or bulk density

greater than 1.55 g cm

-3

may require a media-specific calibration equation.

In these cases, the user may develop a calibration equation to convert CS650

permittivity to volumetric water content over the range of water contents the

probe is expected to measure.

8.2 The User-Derived Calibration Equation

The relationship between soil permittivity and volumetric water content may be

described by a quadratic equation or a 3

rd

order polynomial. In many

applications, a linear equation similar to Ledieu et al (1986) gives required

accuracy.

Quadratic form:

θ

v

(K

a

) = C

0

+ C

1

*K

a

+ C

2

*K

a

2

with θ

v

the volumetric water content, K

a

the bulk dielectric permittivity of the

soil, and C

n

, the calibration coefficient.

3

rd

degree polynomial form:

θ

v

(K

a

) = C

0

+ C

1

*K

a

+ C

2

*K

a

2

+ C

3

*K

a

3

with θ

v

the volumetric water content, K

a

the bulk dielectric permittivity of the

soil, and C

n

, the calibration coefficient.

Linear form:

θ

v

(K

a

) = C

0

+ C

1

*K

a

0.5

with θ

v

the volumetric water content, K

a

the bulk dielectric permittivity of the

soil, and C

n

, the calibration coefficient.

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

calibration. A minimum of three data points are needed for a quadratic

calibration. With three evenly spaced water contents covering the expected

range, the middle water content data point will indicate whether a linear or

polynomial calibration equation is needed.

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