Pa. Ferre et al., SPATIAL AVERAGING OF WATER-CONTENT BY TIME-DOMAIN REFLECTOMETRY - IMPLICATIONS FOR TWIN ROD PROBES WITH AND WITHOUT DIELECTRIC COATINGS, Water resources research, 32(2), 1996, pp. 271-279
The averaging of apparent relative dielectric permittivities by time d
omain reflectometry (TDR) is examined for properties varying along TDR
waveguides and in the plane perpendicular to a TDR probe. A square ro
ot averaging model with uniform weighting factors describes the measur
ed apparent relative dielectric permittivity for axially varying mater
ials; variations in the transverse plane are described by an inverse a
veraging model with nonuniform spatial weighting. We define the sensit
ivity of a TDR probe as the change in the measured travel time for a g
iven change in the average soil water content for rods of a fixed leng
th. For rods with dielectric coatings, this sensitivity increases with
the dielectric permittivity of the coating and the rod radius and dec
reases with the soil dielectric permittivity. Due to the dependence of
the sensitivity on the soil water content, coated rods will not measu
re the actual average water content for conditions of axially variable
water contents.