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1 | (24) |
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1 | (3) |
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1.2 Earth Sciences Phenomena |
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4 | (4) |
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8 | (5) |
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12 | (1) |
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12 | (1) |
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13 | (1) |
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13 | (1) |
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13 | (1) |
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14 | (7) |
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15 | (1) |
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16 | (1) |
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17 | (1) |
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18 | (1) |
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1.5.5 Chaotic Uncertainty |
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19 | (2) |
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21 | (4) |
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22 | (3) |
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2 Sampling and Deterministic Modeling Methods |
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25 | (72) |
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25 | (1) |
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26 | (3) |
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29 | (5) |
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34 | (2) |
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36 | (10) |
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2.5.1 Small Sample Length of Independent Models |
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37 | (3) |
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2.5.2 Small Sample Length of Dependent Models |
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40 | (6) |
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2.6 Regional Representation |
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46 | (5) |
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46 | (3) |
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2.6.2 Inverse Distance Models |
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49 | (2) |
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51 | (4) |
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51 | (4) |
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55 | (16) |
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2.8.1 Delaney, Varoni, and Thiessen Polygons |
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57 | (2) |
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2.8.2 Percentage-Weighted Polygon (PWP) Method |
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59 | (12) |
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2.9 Areal Coverage Probability |
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71 | (6) |
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2.9.1 Theoretical Treatment |
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73 | (3) |
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2.9.2 Extreme Value Probabilities |
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76 | (1) |
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2.10 Spatio-Temporal Drought Theory and Analysis |
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77 | (7) |
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2.10.1 Drought Parameters |
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80 | (4) |
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2.11 Spatio-Temporal Modeling |
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84 | (13) |
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95 | (2) |
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3 Point and Temporal Uncertainty Modeling |
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97 | (32) |
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97 | (2) |
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99 | (1) |
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99 | (1) |
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3.4 Point Data Set Modeling |
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100 | (16) |
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3.4.1 Empirical Frequency Distribution Function |
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100 | (1) |
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3.4.2 Relative Frequency Definition |
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100 | (1) |
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3.4.3 Classical Definition |
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101 | (1) |
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3.4.4 Subjective Definition |
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101 | (4) |
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3.4.5 Empirical Cumulative Distribution Function |
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105 | (1) |
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3.4.6 Histogram and Theoretical Probability Distribution Function |
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106 | (6) |
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3.4.7 Cumulative Probability Distribution Function |
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112 | (1) |
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113 | (3) |
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3.5 Temporal Data Set Modeling |
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116 | (8) |
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3.5.1 Time Series Analysis |
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116 | (8) |
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3.6 Empirical Correlation Function |
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124 | (5) |
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127 | (2) |
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4 Classical Spatial Variation Models |
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129 | (48) |
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129 | (1) |
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4.2 Spatiotemporal Characteristics |
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130 | (1) |
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4.3 Spatial Pattern Search |
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131 | (7) |
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4.4 Simple Uniformity Test |
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138 | (3) |
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141 | (4) |
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145 | (1) |
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4.7 Nearest Neighbor Analysis |
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146 | (2) |
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148 | (5) |
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4.8.1 Geometric Weighting Functions |
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150 | (3) |
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4.9 Trend Surface Analysis |
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153 | (6) |
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4.9.1 Trend Model Parameter Estimations |
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155 | (4) |
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4.10 Multisite Kalman Filter (KF) Methodology |
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159 | (18) |
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160 | (3) |
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163 | (12) |
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175 | (2) |
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5 Spatial Dependence Measures |
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177 | (76) |
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177 | (2) |
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5.2 Isotropy, Anisotropy, and Homogeneity |
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179 | (3) |
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5.3 Spatial Dependence Function (SDF) |
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182 | (3) |
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5.4 Spatial Correlation Function (SCF) |
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185 | (5) |
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5.4.1 Correlation Coefficient Drawback |
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186 | (4) |
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5.5 Semivariogram (SV) Regional Dependence Measure |
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190 | (11) |
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190 | (5) |
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195 | (4) |
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199 | (2) |
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201 | (2) |
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203 | (13) |
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207 | (1) |
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208 | (2) |
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210 | (1) |
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210 | (1) |
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211 | (1) |
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5.7.6 Rational Quadratic SV |
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212 | (1) |
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212 | (1) |
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5.7.8 Wave (Hole Effect) SV |
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213 | (2) |
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215 | (1) |
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215 | (1) |
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5.8 Cumulative Semivariogram (CSV) |
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216 | (11) |
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219 | (1) |
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5.8.2 Theoretical CSV Models |
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220 | (7) |
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5.9 Point Cumulative Semivariogram (PCSV) |
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227 | (9) |
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5.10 Spatial Dependence Function (SDF) |
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236 | (17) |
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250 | (3) |
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253 | (76) |
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254 | (1) |
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6.2 Spatial Estimation of ReV |
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255 | (2) |
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6.3 Optimum Interpolation Model (OIM) |
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257 | (18) |
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6.3.1 Data and Application |
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262 | (13) |
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6.4 Geostatistical Analysis |
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275 | (4) |
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276 | (3) |
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6.5 Geostatistical Estimator (Kriging) |
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279 | (5) |
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6.5.1 Kriging Methodologies and Advantages |
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281 | (3) |
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284 | (7) |
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6.7 Ordinary Kriging (OK) |
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291 | (6) |
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6.8 Universal Kriging (UK) |
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297 | (4) |
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301 | (1) |
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6.10 Triple Diagram Model (TDM) |
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302 | (7) |
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6.11 Regional Rainfall Pattern Description |
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309 | (20) |
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326 | (3) |
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329 | (76) |
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330 | (1) |
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7.2 3D Autoregressive Model |
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331 | (8) |
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7.2.1 Parameter Estimation |
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332 | (3) |
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7.2.2 2D Uniform Model Parameters |
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335 | (4) |
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339 | (1) |
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7.3 Rock Quality Designation (RQD) Simulation |
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339 | (19) |
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7.3.1 Independent Intact Lengths |
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340 | (7) |
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7.3.2 Dependent Intact Lengths |
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347 | (11) |
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7.4 ROD and Correlated Intact Length Simulation |
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358 | (11) |
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7.4.1 Proposed Models of Persistence |
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361 | (3) |
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7.4.2 Simulation of Intact Lengths |
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364 | (5) |
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7.5 Autorun Simulation of Porous Material |
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369 | (12) |
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7.5.1 Line Characteristic Function of Porous Medium |
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370 | (1) |
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7.5.2 Autorun Analysis of Sandstone |
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371 | (4) |
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7.5.3 Autorun Modeling of Porous Media |
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375 | (6) |
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7.6 CSV Technique for Identification of Intact Length Correlation Structure |
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381 | (12) |
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383 | (1) |
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7.6.2 Theoretical CSV Model |
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384 | (9) |
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7.7 Multi-directional RQD Simulation |
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393 | (12) |
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7.7.1 Fracture Network Model |
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394 | (1) |
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395 | (2) |
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7.7.3 RQD Simulation Results |
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397 | (4) |
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401 | (4) |
Index |
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405 | |