| PURE AND APPLIED GEOPHYSICS | 4 |
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| Rock Damage and Fluid Transport, Part I | 6 |
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| Fracture Toughness Measurements and Acoustic Emission Activity in Brittle Rocks | 8 |
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| 1. Introduction | 8 |
| 2. Fracture Toughness | 10 |
| 3. Selection of Samples | 12 |
| 4. Crack Propagation and Microstructure | 17 |
| 5. Acoustic Emission and Crack Propagation | 22 |
| 6. Correlation of AE Technique with Optical Method | 29 |
| 7. Discussions | 31 |
| 8. Conclusions | 33 |
| Quantifying Damage, Saturation and Anisotropy in Cracked Rocks by Inverting Elastic Wave Velocities | 37 |
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| 1. Introduction | 38 |
| 2. E.ective Elastic Medium Containing Cracks | 39 |
| 3. Inversion of Experimental Data | 47 |
| 4. Discussion and Conclusions | 57 |
| Ultrasonic Velocities, Acoustic Emission Characteristics and Crack Damage of Basalt and Granite | 64 |
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| 1. Introduction | 64 |
| 2. Experimental Techniques | 66 |
| 3. Experimental Results | 69 |
| 4. Discussion | 73 |
| 5. Conclusions | 80 |
| Fracture in Westerly Granite under AE Feedback and Constant Strain Rate Loading: Nucleation, Quasi-static Propagation, and the Transition to Unstable Fracture Propagation | 84 |
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| 1. Introduction | 84 |
| 2. Experimental Procedure | 86 |
| 3. Results | 89 |
| 4. Nucleation of Unstable Fracture | 100 |
| 5. Discussion | 103 |
| 6. Conclusion | 106 |
| Stress Sensitivity of Seismic and Electric Rock Properties of the Upper Continental Crust at the KTB | 109 |
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| Introduction | 109 |
| The Data Sets | 110 |
| Method | 112 |
| Analysis and Results | 113 |
| Conclusions | 116 |
| Can Damage Mechanics Explain Temporal Scaling Laws in Brittle Fracture and Seismicity? | 118 |
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| 1. Introduction | 118 |
| 2. A Model of Continuum Damage Mechanics | 119 |
| 3. Discussion | 128 |
| An Update on the Fracture Toughness Testing Methods Related to the Cracked Chevron-notched Brazilian Disk (CCNBD) Specimen | 133 |
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| 1. Introduction | 133 |
| 2. Background | 133 |
| 3. Geometry Related to CCNBD: 1 – Flattened Brazilian Disc (FBD) | 136 |
| 4. Geometry Related to CCNBD: 2 – Semi-circular Specimen under Three-point Bend (SCB) | 137 |
| 5. Geometry Related to CCNBD: 3–Double-edge Cracked Brazilian Disc (DECBD) | 139 |
| 6. Conclusion | 140 |
| Cohesive Crack Analysis of Toughness Increase Due to Con.ning Pressure | 144 |
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| 1. Introduction | 144 |
| 2. Problem Formulation | 145 |
| 3. Theoretical Analysis | 147 |
| 4. Numerical Analysis | 152 |
| 5. Concluding Remarks | 156 |
| Fracture Toughness Evaluation Based on Tension-softening Model and its Application to Hydraulic Fracturing | 158 |
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| 1. Introduction | 158 |
| 2. Fracture Toughness Test | 160 |
| 3. Hydraulic Fracturing | 169 |
| 4. Concluding Remarks | 173 |
| A Method for Testing Dynamic Tensile Strength and Elastic Modulus of Rock Materials Using SHPB | 175 |
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| 1. Introduction | 175 |
| 2. Experimental Procedure | 176 |
| 3. Analysis of Experimental results | 179 |
| 4. Finite Element Simulation | 180 |
| 5. Conclusion | 181 |
| True Triaxial Stresses and the Brittle Fracture of Rock | 185 |
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| Introduction | 185 |
| Brittle Fracture Theories | 186 |
| True Triaxial Experiments and Strength Criteria | 192 |
| True Triaxial Testing at the University of Wisconsin | 199 |
| Discrete Element Modeling of Stress and Strain Evolution Within and Outside a Depleting Reservoir | 215 |
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| Introduction | 215 |
| Geomechanics of Depleting Reservoirs | 217 |
| Discrete Element Modeling | 219 |
| Elastic Case: Comparison with Geertsma’s Analytical Model | 219 |
| Beyond Elasticity: Fault Initiation within and outside a Depleting Reservoir | 226 |
| DEM Modeling with a Pre-existing Fault | 228 |
| Reservoir Depletion, with Fault on the Side of the Reservoir | 230 |
| Discussion | 231 |
| Conclusions | 233 |
| Comparison of Numerical and Physical Models for Understanding Shear Fracture Processes | 236 |
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| 1. Introduction | 236 |
| 2. Laboratory Experiment – The Punch-Through Shear Test | 237 |
| 3. Numerical Experiment | 242 |
| 4. Conclusions | 254 |
| Upscaling: E.ective Medium Theory, Numerical Methods and the Fractal Dream | 258 |
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| 1. Upscaling and Effective Medium Theory | 258 |
| 2. Upscaling and Numerical Methods | 263 |
| 3. Upscaling and the Fractal Dream | 271 |
| 4. Conclusion | 273 |