SSSAJ Journal of Natural Resources and Life Sciences Education
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Published online 1 May 2009
Published in Soil Sci Soc Am J 73:898-909 (2009)
DOI: 10.2136/sssaj2008.0195
© 2009 Soil Science Society of America
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SOIL PHYSICS

Complex Permittivity Model for Time Domain Reflectometry Soil Water Content Sensing: II. Calibration

R.C. Schwartz*, S.R. Evett and J.M. Bell

USDA-ARS, Conservation and Production Research Lab., Bushland, TX 79012

* Corresponding author (robert.schwartz{at}ars.usda.gov).

Despite numerous applications of time domain reflectometry (TDR), serious difficulties in estimating accurate soil water contents under field conditions remain, especially in fine-textured soils. A complex dielectric mixing model was calibrated for fine-textured soils (24–45% clay) and its accuracy was evaluated and compared with empirical calibrations. The Ap and Bt horizons of two soils were packed into columns and adjusted to volumetric water contents ({theta}) ranging from air dry to near saturation. Travel time and bulk electrical conductivity ({sigma}0) were measured using TDR at temperatures (T) of 8, 22, and 40°C and using three coaxial cables to obtain a range of input spectrum bandwidths ({omega}S). Apparent permittivities (Ka) were predicted using the complex permittivity model with measured {theta}, T, {sigma}0, {omega}S, and soil bulk density, and fitted to measured Ka by optimizing specific surface area (As), the power-law exponent (a), and an empirical polarization loss factor. Measured Ka was best approximated using the power-law dielectric mixing model with a semiempirical effective frequency estimate and a = 0.68. Predicted As increased with increasing clay content, cation exchange capacity, and measured specific surface areas. The two-parameter power-law calibration removed temperature bias in {theta} estimates and reduced the RMSE in {theta} estimates by an average of 0.006 m3 m–3 compared with an empirical calibration. Empirical models predicted field {theta} with oscillations of up to 0.022 m3 m–3 in phase with soil temperatures resulting from permittivity temperature dependencies. In contrast, the calibrated dielectric mixing model removed or dampened in-phase {theta} fluctuations to <0.004 m3 m–3, which permitted the detection of more subtle changes (<0.02 m3 m–3) in {theta}.

Abbreviations: BET, Brunauer, Emmett, and Teller • RSD, residual standard deviation • TDR, time domain reflectometry







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