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| First Steps Towards Modeling a Multi-Scale Earth System | p. 1 |
| Introduction | p. 2 |
| Multiscale Non-Equilibrium Thermodynamics | p. 3 |
| The Equilibrium Yardstick | p. 3 |
| Non Equilibrium Thermodynamics and Multiscaling | p. 5 |
| Coupling Mechanics and Chemistry | p. 6 |
| Classical Brittle-Ductile Modeling | p. 8 |
| Mathematical Formulation | p. 10 |
| Classical Constitutive Approaches for the Lithosphere | p. 10 |
| Energy Approach | p. 12 |
| Scale Dependence of Ductile Shear Zones | p. 15 |
| Intrinsic Length Scales for Brittle Faults | p. 17 |
| Scale Dependence for Brittle Faults | p. 19 |
| Discussion | p. 20 |
| References | p. 22 |
| 3D Mesh Generation in Geocomputing | p. 27 |
| Introduction | p. 28 |
| Geometrical Modeling | p. 32 |
| Hexahedral Mesh Generation | p. 33 |
| Introduction | p. 33 |
| Fracture Dominated Reservoir System | p. 35 |
| Meshing Interacting Fault System of South Australia with Mapped Block Method | p. 39 |
| All Hexahedron Mesh Generation for a Whole-Earth Model | p. 43 |
| The PREM whole-Earth model | p. 43 |
| The Whole-Earth Crust with Plate Boundaries | p. 44 |
| Tetrahedral Mesh Generation | p. 49 |
| Introduction | p. 49 |
| Automatic Tetrahedral Mesh Generation for the Stratigraphy Point Set | p. 50 |
| Visualizing and Meshing with the Microseismicity Data | p. 52 |
| Conclusions | p. 59 |
| References | p. 59 |
| Strategies for Preconditioning Methods of Parallel Iterative Solvers for Finite-Element Applications in Geophysics | p. 65 |
| Background | p. 65 |
| Why Preconditioned Iterative Solvers? | p. 65 |
| Selective Blocking Preconditioning for Contact Problems | p. 67 |
| GeoFEM Project | p. 67 |
| Selective Blocking | p. 69 |
| Overview of this Work | p. 70 |
| Various Approaches for Parallel Preconditioning Methods in III-Conditioned Problems | p. 72 |
| Selective Fill-Ins | p. 72 |
| Selective Overlapping | p. 76 |
| Local Reordering in Distributed Data | p. 79 |
| HID (Hierarchical Interface Decomposition) | p. 82 |
| Examples: Contact Problems | p. 86 |
| Effect of Selective Fill-Ins and Selective Overlapping | p. 86 |
| Effect of Local Reordering | p. 88 |
| Effect of HID | p. 90 |
| Examples: Linear-Elastic Problems with Heterogeneous Material Properties | p. 92 |
| BILU $$ | p. 92 |
| Problem Description | p. 93 |
| Effect of Selective Fill-Ins and Selective Overlapping | p. 96 |
| Effect of Local Reordering | p. 98 |
| Effect of HID | p. 101 |
| Concluding Remarks | p. 103 |
| References | p. 105 |
| Appendix 1: Parallel Iterative Solvers in GeoFEM | p. 107 |
| Distributed Data Structure | p. 107 |
| Localized Preconditioning | p. 109 |
| Appendix 2: Selective Blocking | p. 111 |
| Robust Preconditioning Methods for Ill-Conditioned Problems | p. 111 |
| Strategy for Parallel Computations | p. 114 |
| Large-Scale Computations | p. 116 |
| Algorithms for Optimizing Rheology and Loading Forces in Finite Element Models of Lithospheric Deformation | p. 119 |
| Introduction | p. 119 |
| Methodology | p. 120 |
| A Plate Flexural Model | p. 123 |
| A Three-Dimensional Viscous Model of Lithospheric Deformation | p. 127 |
| Discussions and Conclusions | p. 136 |
| References | p. 137 |
| Mantle Dynamics - A Case Study | p. 139 |
| Introduction | p. 140 |
| Energy Budget of the Mantle | p. 140 |
| Physics of Mantle Convection in a Nutshell | p. 140 |
| Surface Tectonics | p. 141 |
| Volcanism | p. 141 |
| Core and Magnetism | p. 141 |
| Composition | p. 142 |
| Physics of Mantle Convection: Basic Equations | p. 142 |
| Conservation of Mass | p. 142 |
| Conservation of Momentum | p. 143 |
| Conservation of Energy | p. 143 |
| Equation of State | p. 144 |
| Constitutive Relations | p. 144 |
| Case Study: Stirring in Global Models of the Earth's Mantle | p. 145 |
| Background | p. 146 |
| Mantle Composition and Crustal Segregation | p. 146 |
| Phase Transitions in the Mantle | p. 146 |
| Geochemistry - a Primer | p. 148 |
| Geochemical Heterogeneities | p. 149 |
| Mantle Degassing | p. 150 |
| Interpretation of Reservoirs | p. 150 |
| Age of Reservoirs | p. 151 |
| Size of Reservoirs | p. 151 |
| Reconciliation of Geophysical and Geochemical Constraints | p. 152 |
| Model Setup | p. 155 |
| Rheology | p. 156 |
| Boundary Conditions | p. 157 |
| Initial Conditions | p. 158 |
| Numerics | p. 159 |
| Mantle Convection Code: TERRA | p. 159 |
| Treatment of Compositional Fields | p. 160 |
| Definition of Two Components | p. 160 |
| Model Results | p. 161 |
| Discussion | p. 166 |
| Influence of Geometry | p. 167 |
| Influence of Rheology | p. 167 |
| Influence of Initial Conditions | p. 169 |
| Minor Influences | p. 170 |
| Conclusions | p. 170 |
| Relevance for the Earth | p. 171 |
| Other Hints for a Change of Convective Mode | p. 173 |
| Outlook | p. 174 |
| References | p. 175 |
| The ESyS_Particle: A New 3-D Discrete Element Model with Single Particle Rotation | p. 183 |
| Introduction: A Review of the Discrete Element Method | p. 183 |
| Dimensionality: 2-D or 3-D | p. 184 |
| Contact Laws: Linear or Non-Linear | p. 185 |
| Particle Shapes: Disks/Spheres or Polygons/Polyhedrons | p. 185 |
| Single Particle Rotation: With or Without | p. 185 |
| Algorithm for Integrating the Equations of Motion | p. 186 |
| Bonded or Not Bonded | p. 186 |
| Interactions Between Particles: Complete or Simplified | p. 187 |
| Criterion for Bond Breakage | p. 187 |
| Frictional Forces | p. 187 |
| Parameter Calibration | p. 188 |
| The Model, Equations and Numerical Algorithms to Integrate These Equations | p. 189 |
| A Brief Introduction to the ESyS-Particle | p. 189 |
| Equations | p. 190 |
| Algorithms to Integrate the Equations of Rotation | p. 191 |
| Contact Laws, Particle Interactions and Calculation of Forces and Torques | p. 193 |
| Bonded Interaction | p. 193 |
| The Bonded Model | p. 193 |
| Calculation of Interactions due to Relative Motion | p. 194 |
| Criterion for Bond Breakage | p. 200 |
| Solely Normal Repulsive Interaction | p. 201 |
| Cohesionless Frictional Interaction | p. 201 |
| Parameter Calibration | p. 204 |
| Elastic Parameters: Spring Stiffness | p. 204 |
| 2-D Triangular Lattice | p. 204 |
| 3-D Lattices: HCP and FCC | p. 205 |
| Fracture Parameters | p. 209 |
| Other Parameters | p. 210 |
| Time Step | p. 210 |
| Artificial Damping | p. 210 |
| Loading Rate | p. 211 |
| Some Recent Simulation Results | p. 211 |
| 2-D Tests | p. 211 |
| Uni-Axial Tests | p. 211 |
| Wing Crack Extension | p. 213 |
| Shearing and Crushing of Aggregates | p. 214 |
| Simulation of Brittle Fracture by Dynamic Impact | p. 215 |
| 3-D Tests | p. 216 |
| Uni-Axial Test | p. 216 |
| Wing Crack | p. 217 |
| Discussion: Major Differences of the ESyS-Particle Compared with the Other Existing DEMs | p. 219 |
| Conclusions | p. 220 |
| References | p. 222 |
| The TeraShake Computational Platform for Large-Scale Earthquake Simulations | p. 229 |
| Introduction | p. 230 |
| The TeraShake Computational Platform | p. 232 |
| TeraShake Application: Anelastic Wave Model | p. 234 |
| Enhancement and Optimization of the TeraShake Application | p. 237 |
| Porting and Optimizations | p. 237 |
| Optimization of Initialization | p. 239 |
| Optimization of I/O | p. 240 |
| Mapping TS-AWP to Different TeraGrid Architectures | p. 242 |
| Scaling the Code up to 40k Processors | p. 243 |
| Preparing for TeraShake Executions | p. 245 |
| Maintenance and Additional Techniques for the TeraShake Platform | p. 247 |
| Data Archival and Management | p. 248 |
| SCEC Data Grid | p. 249 |
| Wave Propagation Simulation Data Archival | p. 252 |
| SCEC Data Management Challenges | p. 253 |
| Comparison to Grid Technology | p. 255 |
| SCEC Digital Library | p. 256 |
| TeraShake Visualization | p. 257 |
| Visualization Techniques | p. 258 |
| Surface Visualization | p. 258 |
| Topographic Visualization | p. 259 |
| Volumetric Visualization | p. 261 |
| Static Maps | p. 262 |
| Self Contoured Maps | p. 262 |
| Map Service Portal for Surface Data | p. 262 |
| Visualization Tools and Results | p. 264 |
| Visualization Discussion | p. 264 |
| Scientific Results of TeraShake-1 and TeraShake-2 | p. 265 |
| Lessons Learned from Enabling Very-Large Scale Earthquake Simulations | p. 268 |
| Summary | p. 273 |
| References | p. 275 |
| Probabilistic Forecast of Tsunami Hazards along Chinese Coast | p. 279 |
| Introduction | p. 280 |
| Geological and Geophysical Analysis | p. 283 |
| Probabilistic Forecast of Tsunami Hazards | p. 288 |
| Probabilistic Forecast of Tsunami and Seismic Hazards | p. 288 |
| Linear and Non-linear Modeling Potential Tsunami Sources | p. 291 |
| Probabilistic Forecast of Tsunami and Seismic Hazard in China Sea Region | p. 296 |
| Probabilistic Forecast of Seismic Hazard in South China Sea Region | p. 296 |
| Probabilistic Forecast of Seismic Hazard in Eastern China Sea Region | p. 297 |
| Tsunami Numerical Simulation in China Sea Region | p. 298 |
| Probabilistic Forecast of Tsunami Hazard in China Sea Region | p. 303 |
| Discussions and Summary | p. 310 |
| Conclusion | p. 312 |
| References | p. 314 |
| Index | p. 319 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9783540858775
ISBN-10: 3540858776
Series: Lecture Notes in Earth Sciences
Published: 26th March 2009
Format: Multi-Item Pack
Language: English
Number of Pages: 344
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: GB
Dimensions (cm): 23.5 x 15.5 x 2.54
Weight (kg): 0.73
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