Preface |
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xi | |
Acknowledgements |
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xiii | |
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xv | |
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1 | (17) |
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1.1 Geophysical Investigation of the Subsurface |
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1 | (2) |
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1.2 Importance of Electrical Properties |
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3 | (1) |
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1.3 Historical Development of Electrical Geophysics |
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4 | (10) |
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4 | (7) |
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1.3.2 Induced Polarization |
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11 | (3) |
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1.4 Recent Methodological Developments |
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14 | (1) |
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15 | (3) |
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2 Electrical Properties of the Near-Surface Earth |
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18 | (82) |
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18 | (2) |
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20 | (30) |
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2.2.1 Electrical Conduction |
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22 | (1) |
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2.2.2 Resistivity/Conductivity Definitions |
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22 | (2) |
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2.2.3 Conduction Processes in Earth Materials |
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24 | (1) |
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2.2.3.1 Ionic Conduction in a Fluid |
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25 | (2) |
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2.2.3.2 The Electric Double Layer (EDL) |
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27 | (2) |
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2.2.3.3 Electron Conduction |
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29 | (1) |
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2.2.4 Conduction in a Porous Medium |
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29 | (1) |
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2.2.4.1 Electrolytic Conduction and Archie's Laws |
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30 | (6) |
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2.2.4.2 Surface Conduction and the Parallel Conduction Paths Model |
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36 | (7) |
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2.2.4.3 Conduction in Frozen Soils |
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43 | (1) |
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2.2.4.4 Other Models for Predicting the Conductivity of Soils and Rocks |
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44 | (6) |
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50 | (48) |
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2.3.1 Complex Resistivity/Conductivity Definitions |
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53 | (3) |
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2.3.2 Polarization Mechanisms |
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56 | (2) |
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2.3.3 Frequency-Independent IP Model in the Absence of Electron Conducting Particles |
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58 | (7) |
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2.3.4 Frequency Dependence of the Complex Conductivity |
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65 | (7) |
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2.3.5 Mechanistic Models for the Frequency-Dependent Complex Conductivity in the Absence of Electron Conducting Particles |
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72 | (1) |
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2.3.5.1 Grain- and Pore-Size Based Models of the Surface Conductivity |
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73 | (5) |
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2.3.5.2 Pore-Throat-Based Models |
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78 | (2) |
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2.3.6 Estimation of Hydraulic Properties from Electrical Properties in the Absence of Electron Conducting Particles |
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80 | (6) |
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2.3.7 Polarization of Soils and Rocks Containing Electron Conducting Particles |
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86 | (10) |
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2.3.8 Electrical Properties of Contaminated Soils and Rocks |
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96 | (1) |
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2.3.9 Non-linear IP Effects |
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97 | (1) |
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98 | (2) |
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3 Instrumentation and Laboratory Measurements |
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100 | (54) |
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100 | (3) |
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3.2 Resistivity Measurements |
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103 | (23) |
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3.2.1 Resistance, Resistivity and the Geometric Factor |
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103 | (1) |
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3.2.2 Laboratory Measurements |
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103 | (1) |
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3.2.2.1 Measurement Cells and the Four-Electrode Measurement |
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103 | (3) |
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3.2.2.2 Types of Sample Holders |
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106 | (1) |
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3.2.2.3 Determining the Geometric Factor |
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107 | (2) |
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3.2.2.4 Laboratory Instrumentation |
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109 | (1) |
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110 | (1) |
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3.2.2.6 Potential Recordings |
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110 | (1) |
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3.2.2.7 Laboratory Electrodes |
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111 | (1) |
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112 | (1) |
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3.2.3.1 Field Transmitters |
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113 | (1) |
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114 | (1) |
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3.2.3.3 Multiple Transmitter Instruments |
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115 | (1) |
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115 | (4) |
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3.2.5 Surface Electrode Equipment |
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119 | (1) |
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119 | (1) |
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3.2.5.2 Smart Electrode Take-Outs |
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119 | (1) |
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3.2.5.3 Surface Electrodes |
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120 | (4) |
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3.2.6 Borehole Electrode Arrays |
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124 | (2) |
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3.3 Induced Polarization Measurements |
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126 | (25) |
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3.3.1 Laboratory Measurements |
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127 | (1) |
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127 | (4) |
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3.3.1.2 Laboratory Instruments |
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131 | (3) |
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3.3.1.3 Electrodes for Laboratory Measurements |
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134 | (1) |
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3.3.1.4 Two-Electrode Dielectric Spectroscopy Measurements |
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135 | (1) |
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136 | (1) |
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3.3.2.1 Time Domain Systems |
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136 | (3) |
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3.3.2.2 Estimating Relaxation Model Parameters from Time Domain Measurements |
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139 | (2) |
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3.3.2.3 Equivalent Frequency Domain Information from Full Time Domain Waveforms |
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141 | (1) |
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3.3.2.4 Frequency Domain Systems |
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141 | (3) |
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3.3.2.5 Electrodes for Field Measurements |
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144 | (2) |
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146 | (1) |
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3.3.2.7 Distributed Transmitter and Receiver Systems |
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146 | (2) |
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3.3.3 Relationships between Instrument Measurements |
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148 | (1) |
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3.3.4 Instrumentation for Imaging Tanks, Cores and Other Vessels |
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149 | (2) |
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151 | (3) |
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4 Field-Scale Data Acquisition |
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154 | (59) |
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154 | (1) |
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154 | (49) |
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4.2.1 The Resistivity Quadrupole and Apparent Resistivity of Specific Resistivity Structures |
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154 | (4) |
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4.2.1.1 Electrode Array Geometries |
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158 | (4) |
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4.2.1.2 Apparent Resistivity of Laterally Variable Media |
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162 | (1) |
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4.2.1.3 Apparent Resistivity of Layered Media |
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163 | (3) |
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4.2.1.4 Apparent Resistivity of Some Other Resistivity Structures |
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166 | (3) |
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4.2.2 Measurements in the Field |
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169 | (1) |
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4.2.2.1 Measurement Errors |
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169 | (6) |
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175 | (2) |
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4.2.2.3 Anisotropy and Azimuthal Surveys |
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177 | (1) |
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4.2.2.4 Vertical Sounding for a 1D Layered Media |
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178 | (2) |
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180 | (5) |
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185 | (4) |
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4.2.2.7 Borehole-Based Measurements |
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189 | (7) |
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4.2.2.8 Small-Scale Imaging: Tanks and Columns |
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196 | (2) |
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4.2.2.9 Optimal Measurement Schemes |
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198 | (1) |
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4.2.2.10 Time-Lapse Data Acquisition Considerations |
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199 | (2) |
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4.2.2.11 Current Source Methods |
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201 | (2) |
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203 | (9) |
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4.3.1 Characteristics of a Polarizable Subsurface |
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204 | (2) |
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206 | (2) |
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4.3.3 Electrode Geometries |
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208 | (3) |
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4.3.4 Borehole Measurements |
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211 | (1) |
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4.3.5 Small-Scale Imaging |
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211 | (1) |
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212 | (1) |
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5 Forward and Inverse Modelling |
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213 | (62) |
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213 | (2) |
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215 | (48) |
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215 | (1) |
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215 | (1) |
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5.2.1.2 2D and 3D Modelling |
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216 | (7) |
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223 | (1) |
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223 | (1) |
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223 | (2) |
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5.2.2.2 Damping and Regularisation |
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225 | (5) |
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5.2.2.3 Computation of the Sensitivity Matrix |
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230 | (1) |
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5.2.2.4 Inverse Models for Vertical Soundings |
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231 | (1) |
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5.2.2.5 Generalized 2D Inverse Modelling |
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232 | (4) |
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5.2.2.6 3D Inverse Modelling |
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236 | (5) |
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5.2.2.7 Accounting for Electrical Anisotropy |
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241 | (1) |
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5.2.2.8 Enhancing the Regularisation |
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241 | (2) |
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5.2.2.9 Post-Processing of Inverse Models |
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243 | (1) |
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5.2.2.10 Time-Lapse Inversion |
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244 | (3) |
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5.2.3 The Impact of Measurement and Model Errors |
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247 | (2) |
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249 | (1) |
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5.2.4 Inverse Model Appraisal |
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250 | (1) |
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250 | (1) |
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5.2.4.2 Model Resolution Matrix Approaches |
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250 | (2) |
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5.2.4.3 Depth and Volume of Investigation |
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252 | (1) |
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5.2.4.4 Model Covariance Matrix and Parameter Uncertainty |
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253 | (2) |
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5.2.5 Alternative Inverse Modelling Approaches |
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255 | (1) |
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255 | (3) |
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5.2.5.2 Other Global Optimization Methods |
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258 | (2) |
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5.2.5.3 Joint and Coupled Inversion |
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260 | (1) |
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5.2.6 Current Source Modelling and Inversion |
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261 | (2) |
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263 | (10) |
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263 | (1) |
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5.3.2 Forward Modelling in the Time Domain |
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263 | (1) |
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5.3.3 Forward Modelling in the Frequency Domain |
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264 | (1) |
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5.3.3.1 Modelling Electromagnetic Coupling |
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264 | (1) |
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5.3.4 Inverse Modelling in the Time Domain |
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265 | (1) |
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5.3.5 Inverse Modelling in the Frequency Domain |
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266 | (3) |
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5.3.6 Time-Lapse Inverse Modelling |
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269 | (1) |
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5.3.7 Inversion of Frequency-Dependent Properties |
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270 | (1) |
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5.3.7.1 Relaxation Modelling |
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270 | (2) |
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5.3.7.2 Imaging Relaxation Properties |
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272 | (1) |
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5.3.8 Inverse Model Appraisal |
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273 | (1) |
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273 | (2) |
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275 | (46) |
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6.1 Resistivity Case Studies |
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275 | (22) |
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275 | (1) |
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6.1.2 Archaeology: Investigation of Roman Fort Remains in Lancaster |
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275 | (2) |
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6.1.3 Hydrogeology: Imaging at the Groundwater-Surface Water Interface |
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277 | (4) |
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6.1.4 Hydrogeology: Time-Lapse 3D Imaging of Solute Migration in the Unsaturated Zone |
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281 | (3) |
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6.1.5 Soil Science: Imaging Solute Transport in Soil Cores |
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284 | (2) |
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6.1.6 Agriculture: Imaging Crop Water Uptake |
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286 | (3) |
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6.1.7 Geotechnical Engineering: Time-Lapse 3D Imaging of Moisture-Induced Landslides |
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289 | (3) |
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6.1.8 Emerging Applications: Imaging Deep CO2 Injection |
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292 | (2) |
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6.1.9 Emerging Applications; Imaging Permafrost Distribution and Properties |
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294 | (3) |
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297 | (24) |
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297 | (1) |
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6.2.2 Hydrogeology: Characterization of a Hydrogeological Framework |
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298 | (3) |
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6.2.3 Hydrogeology: Imaging Hydrostratigraphy |
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301 | (2) |
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6.2.4 Hydrogeology: Imaging Permeability Distributions in Unconsolidated Sediments |
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303 | (3) |
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6.2.5 Hydrogeology: Relationships between Spectral Induced Polarization and Permeability |
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306 | (2) |
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6.2.6 Engineering: Imaging Engineered Permeable Reactive Barriers for Remediating Groundwater |
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308 | (4) |
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6.2.7 Engineering: Imaging of Soil Strengthening |
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312 | (2) |
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6.2.8 Emerging Applications: Tracking Biomineralization Processes during Remediation |
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314 | (4) |
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6.2.9 Emerging Applications: Characterization and Monitoring of Trees |
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318 | (3) |
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321 | (7) |
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7.1 Developments in Petrophysical Relationships |
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322 | (2) |
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7.2 Future Instrument Development Needs |
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324 | (1) |
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7.3 Future Modelling Development Needs |
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325 | (2) |
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327 | (1) |
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Appendix A Modelling Tools |
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328 | (7) |
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A.1 Available Modelling Tools |
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328 | (1) |
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328 | (3) |
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331 | (4) |
References |
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335 | (50) |
Index |
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385 | |