THESIS
2014
xiv, 128 pages : illustrations ; 30 cm
Abstract
The capacitively-coupled (CC) resistivity method is an emerging geophysical technique for
near-surface investigations and therefore has the potential to be widely used in
hydrogeophysical surveys. In this thesis, the focuses are put on resolving two major problems
associated with the CC resistivity (line antenna) method, i.e., theories and inversion
techniques. First, a new expression of the associated geometric factor is developed to improve
the accuracy of the measured apparent resistivity. A quadru-line model is then derived to
describe the characteristics of the CC resistivity (line antenna) system and the validity of this
model is verified experimentally. Relevant measurement biases, including the one induced by
the gap between the line antenna and the ground surface, are a...[
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The capacitively-coupled (CC) resistivity method is an emerging geophysical technique for
near-surface investigations and therefore has the potential to be widely used in
hydrogeophysical surveys. In this thesis, the focuses are put on resolving two major problems
associated with the CC resistivity (line antenna) method, i.e., theories and inversion
techniques. First, a new expression of the associated geometric factor is developed to improve
the accuracy of the measured apparent resistivity. A quadru-line model is then derived to
describe the characteristics of the CC resistivity (line antenna) system and the validity of this
model is verified experimentally. Relevant measurement biases, including the one induced by
the gap between the line antenna and the ground surface, are also examined using the quadru-line
model and experiments. To improve the accuracy of exiting indirect inversion method,
the adopted equivalent point electrode array is suggested to be optimized by minimizing the
sensitivity (1D) difference between the line and point electrode arrays. The direct inversion of
resistivity (line electrode) measurements is also realized by incorporating line electrodes into
an open source resistivity inversion package. The usefulness and effectiveness of the proposed
inversion methods are supported by numerical examples.
While using the electrical resistivity method for hydrological related studies, a key step
involved in the quantitative analyses is how to relate the measured electrical resistivity to soil
hydrological properties. In this study, an attempt is first made to develop an easy-to-calibrate
electrical conductivity (EC) model for unsaturated soils. Comparisons between measurements
and theoretical predictions demonstrate that the proposed model can provide sufficiently
accurate description of the soil ECs at different saturations. An electrical-hydraulic
conductivity (EC-K(h)) relationship for unsaturated soils is also derived. Theoretical
predictions of K(h) based on the measured soil EC are in good agreement with the measured
results. Apart from that, the proposed EC-K(h) relationship is applied to quantify the
anisotropy of K(h) of unsaturated soils using the measured directional ECs.
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