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Information content of time domain reflectometry waveforms
Author(s) -
Weerts A. H.,
Huisman J. A.,
Bouten W.
Publication year - 2001
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2000wr900381
Subject(s) - reflectometry , permittivity , waveform , time domain , frequency domain , inverse , bandwidth (computing) , inverse problem , mathematics , debye , mathematical analysis , materials science , dielectric , computational physics , physics , computer science , condensed matter physics , telecommunications , radar , optoelectronics , computer vision , geometry
The possibility to link model parameters with soil properties is obstructed if identification problems in inverse modeling of time domain reflectometry (TDR) waveforms occur. Therefore multiple objective functions, each associated with one model parameter, are sought for identification of probe (resistance and length) and Debye (static permittivity, high‐frequency permittivity, relaxation frequency, and bulk electrical conductivity) parameters in TDR waveforms. An objective function could be defined for all six model parameters. Some of the defined objective functions correspond with theoretical and experimental observations of earlier work. Other new insights have been obtained. For instance, it is possible to obtain estimates of high‐frequency permittivity even when the reflection of the end of the probe has vanished because of high salinity. Application of the found objective functions on measured TDR waveforms yielded parameter values that compared well with values obtained from several references. However, identification of a parameter is only possible if its true value lies within the frequency bandwidth of TDR.