Dj. Timlin et Ya. Pachepsky, COMPARISON OF 3 METHODS TO OBTAIN THE APPARENT DIELECTRIC-CONSTANT FROM TIME-DOMAIN REFLECTOMETRY WAVE TRACES, Soil Science Society of America journal, 60(4), 1996, pp. 970-977
A calibration of time domain reflectometry (TDR) probes to measure soi
l water in a particular soil is desirable since no consistent relation
ship between water content and apparent dielectric constant (K-a) has
been found. We compared three procedures to compute K-a from TDR trace
s: a manual method that uses a plot of the wave trace, a derivative-ba
sed computer algorithm, and fitting a simulated TDR trace to a measure
d one with a simple multiple reflection model. We added a model of ine
rtia to the multiple reflection model to approximate the rise time of
the cable tester. The TDR traces were measured in situ with a Tektroni
x 1502B cable tester (Tektronix, Inc., Wilsonville, OR) on samples fro
m two soils with contrasting textures, Beltsville silt loam (fine-loam
y, mixed, mesic Typic Fragiudult) and Rumford loamy sand (coarse-loamy
, siliceous, thermic Typic Normudult). Ten-centimeter probes with thre
e rods were used. The water contents were measured gravimetrically wit
h soil cores. Calibration with apparent dielectric constants obtained
from the derivative-based algorithm had the smallest standard error fo
r both soils, and the manual method was better than the wave simulatio
n method. The intercepts and slopes of the calibration equations for t
he manual and derivative methods were not significantly different from
each other for both soils. The wave simulation method, which gives ph
ysically meaningful values for K-a, and characteristic impedances can
be a useful tool for theoretical studies.