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A Sensitivity Analysis of Electrical Resistivity Tomography Array Types Using Analytical Element Modeling

Alex Furman*,a, Ty P. A. Ferréa and A. W. Warrickb

a Hydrology and Water Resources Department, University of Arizona, Tucson, AZ 85721
b Soil, Water, and Environmental Sciences Department, University of Arizona, Tucson, AZ 85721



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Fig. 1. Schematic diagram of solution domain including two heterogeneities and corresponding images.

 


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Fig. 2. Sensitivity maps for (A) Wenner, (B) Schlumberger, (C) double dipole, and (D) partially overlapping arrays. Contours of cumulative sensitivity relative to the total sensitivity are shown. All of the electrodes used in simulations for this study are shown as arrows. Long red arrows show current electrode locations and short blue arrows show potential electrodes for specific array for which sensitivity is shown. Note that the sensitivity scale differs among arrays.

 


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Fig. 3. Location of perturbations used to create survey set based on the locally optimal array. All of the electrodes used in simulations for this study are shown as arrows.

 


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Fig. 4. Normalized cumulative sensitivity map for locally optimal survey set. Contours of percentile contribution to the sensitivity are shown. All electrodes used are shown.

 


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Fig. 5. Sensitivity map for partially overlapping arrays that is the most sensitive to the location marked by *. Contours of cumulative sensitivity relative to the total sensitivity are shown. All of the electrodes used in simulations for this study are shown as arrows. Long red arrows show current electrode locations, and short blue arrows show potential electrodes for specific array for which sensitivity is shown.

 


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Fig. 6. Normalized survey sensitivity maps for (A) Wenner, (B) Schlumberger, (C) double dipole, and (D) partially overlapping arrays. Contours of cumulative sensitivity relative to the total sensitivity are shown. All of the electrodes used in simulations for this study are shown as arrows. Note that the sensitivity scale differs among arrays.

 





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